2014 lines
1.1 MiB
2014 lines
1.1 MiB
{
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"cells": [
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "83c2b1e7-b401-4a15-adf0-d43cebf9ad81",
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"metadata": {},
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"source": [
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"# **Project Algorithmique avancée** # \n"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "5f483b31-1246-4f00-ae39-718ef92ce9eb",
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"metadata": {},
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"source": [
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"## <u>Contexte du projet </u>\n",
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"\n",
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"L'ADEME a lancé un appel pour promouvoir de nouvelles solutions de mobilité. CesiCDP, avec son équipe de 4 personnes, répond à cet appel en se concentrant sur la gestion des tournées de livraison. L'objectif est de minimiser la durée totale de la tournée en tenant compte des contraintes de trafic et autres. Un financement attractif est en jeu pour développer l'activité de CesiCDP. L'ajout de contraintes supplémentaires au problème rendra l'étude plus réaliste et plus difficile à résoudre, mais démontrera l'expertise de l'équipe.\n",
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"\n",
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"Notre objectif est de développer un algorithme qui nous permettra de passer par tous les points de livraison dans un temps optimisé."
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]
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},
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"attachments": {},
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"cell_type": "markdown",
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"id": "d633beb7-8f26-46d4-9cd9-1d0093e5b5c3",
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"metadata": {},
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"source": [
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"## <u>Contraintes choisies </u>\n",
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"\n",
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"La contrainte que nous avons choisie est la suivante :\n",
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"\n",
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"- Avoir plusieurs camions disponibles simultanément pour effectuer les livraisons."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "ba356166-604a-4627-ac0f-93b76eb7a22d",
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"metadata": {},
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"source": [
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"## <u>Formulation du problème </u>\n",
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"\n",
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"Considérons un graphe G=(V,E), où V est l'ensemble des villes (ou points de livraison) et E est l'ensemble des routes entre les villes. Il y a k camions disponibles pour effectuer les livraisons.\n",
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"\n",
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"Le problème consiste à trouver un itinéraire pour chaque camion, de sorte que toutes les livraisons soient effectuées dans le temps le plus court possible.\n",
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"\n",
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"Le problème que nous avons avec les contraintes mentionnées ci-dessus est le VRP (Problème de Routage des Véhicules)."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "6d392f68",
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"metadata": {},
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"source": [
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"## <u> Contraintes du problème </u>\n",
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"\n",
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"Liste des contraintes du problème :\n",
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"\n",
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"- Tous les clients doivent être servis\n",
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"- Un client ne peut être servi que par un seul véhicule.\n",
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"- En quittant un client, un véhicule ne peut se rendre que chez un seul autre client.\n",
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"\n",
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"Nous allons donc affecter chaque client à une route desservie par un seul véhicule."
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]
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},
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{
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"attachments": {},
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"id": "92658e81",
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"metadata": {},
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"source": [
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"## <u>Démonstration de la complexité du problème de routage des véhicules (VRP) </u>\n",
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"\n",
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"#### **Introduction**\n",
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"\n",
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"Le Problème de Routage des Véhicules (VRP) est une extension du Problème du Voyageur de Commerce (TSP) et est connu pour être un problème NP-difficile. Nous allons démontrer la complexité du VRP en nous basant sur le problème de la chaîne Hamiltonienne, qui est connu pour être NP-complet.\n",
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"\n",
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"#### **Définitions préliminaires**\n",
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"\n",
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"- Problème de la chaîne Hamiltonienne : le problème consiste à déterminer si un graphe non orienté donné possède une chaîne Hamiltonienne, c'est-à-dire un chemin qui visite chaque sommet exactement une fois.\n",
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"\n",
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"- Problème du voyageur de commerce (TSP) : le problème consiste à trouver le circuit le plus court possible qui visite chaque ville d'un ensemble donné de villes et revient à la ville d'origine.\n",
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"\n",
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"- Problème de routage des véhicules (VRP) : le problème consiste à livrer une série de clients avec plusieurs véhicules tout en minimisant le coût total, tel que le temps de livraison ou la distance parcourue.\n",
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"\n",
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"#### **Preuve de complexité du TSP**\n",
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"\n",
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"Le TSP (Traveling Salesman Problem) est une extension du problème de chaîne Hamiltonienne. En fait, un cas particulier du TSP est le problème de chaîne Hamiltonienne, dans lequel toutes les arêtes ont le même poids (ou coût). Dans ce cas, trouver le circuit le plus court dans le TSP revient à trouver une chaîne Hamiltonienne dans le graphe. Puisque le problème de chaîne Hamiltonienne est NP-complet, le TSP doit être au moins aussi difficile, donc le TSP est NP-complet.\n",
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"\n",
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"#### **Preuve de complexité du VRP**\n",
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"\n",
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"Le VRP (Vehicle Routing Problem) est une extension du TSP (Traveling Salesman Problem). En fait, un cas particulier du VRP est le TSP où il n'y a qu'un seul véhicule disponible pour effectuer les livraisons. Dans ce cas, trouver la solution au VRP revient à trouver la solution au TSP.\n",
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"\n",
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"Puisque le TSP est NP-complet, le VRP doit être au moins aussi difficile, donc le VRP est NP-difficile. De plus, le VRP introduit des contraintes supplémentaires, telles que la présence de plusieurs véhicules et éventuellement des capacités de véhicule et des fenêtres de temps, ce qui le rend encore plus complexe.\n",
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"\n",
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"#### **Conclusion**\n",
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"\n",
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"En conclusion, nous avons démontré que le problème de VRP (Vehicle Routing Problem) est un problème NP-difficile en le réduisant au problème TSP (Traveling Salesman Problem) NP-complet, qui à son tour peut être réduit au problème de chaîne Hamiltonienne NP-complet. Cette démonstration met en évidence la difficulté de résoudre le VRP, en particulier pour de grandes instances. En pratique, des méthodes (méta)heuristiques et approximatives sont souvent utilisées pour résoudre le VRP, comme nous le verrons plus tard."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "16b3b8a7-4658-4509-a511-7a395654e6f1",
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"metadata": {},
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"source": [
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"## <u>Modélisation mathématique du VRP </u>\n",
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"\n",
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"#### **Paramètres**\n",
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"\n",
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"$V=\\{0,1,2,...,n_v\\}$ : l'ensemble des villes, où 0 est la base (ou dépôt), $1,2,...,n_v$ sont les villes de livraison. $n_v+1$ sera le dépôt pour le retour. <br>\n",
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"$K=\\{1,2,...,k\\}$ : tous les camions. <br>\n",
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"$E$ représente les arcs entre deux clients $i,j \\in V$ <br>\n",
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"$G=(V,E)$ : le graphe avec V comme sommets (villes) et E comme arêtes <br>\n",
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"$d_{ij}$ : distance (ou temps de voyage) de la ville i à la ville $j$ (coût de voyage) <br>\n",
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"\n",
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"#### **Variables de décision**\n",
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"\n",
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"$x_{ijk}$ : variable binaire qui vaut 1 si le camion $k$ va d'une ville $i$ à une ville $j$, sinon elle vaut 0.\n",
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"\n",
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"#### **Fonction objective**\n",
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"\n",
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"$$\\min \\sum_{k∈K} \\sum_{i∈V} \\sum_{j∈V} d_{ij} x_{ijk} $$\n",
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"\n",
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"#### **Contraintes du VRP**\n",
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"\n",
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"- Chaque ville est visitée qu'une et une seule fois :\n",
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"$$\\sum_{k \\in K} \\sum_{j \\in V} x_{ijk} = 1, \\forall i \\in V, i \\ne 0$$\n",
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"\n",
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"- Si un camion arrive à une ville il doit en partir :\n",
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"$$\\sum_{i \\in V} x_{ijk} = \\sum_{j \\in V} x_{ijk}, \\forall k \\in K, \\forall i \\in V, \\forall j \\in V $$\n",
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"<br> \n",
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"\n",
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"- Contrainte d'élimination des sous-tours (pour s'assurer que chaque camion effectue un tour complet)\n",
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"$$\\sum_{i \\in S, j \\notin S} x_{ijk} \\geq 1, \\forall k \\in K, \\forall \\; sous-ensemble \\; S \\; de \\; V, 0 \\in S, S \\ne V $$"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "21eb23f9",
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"metadata": {},
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"source": [
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"## <u>Modélisation mathématique du VRPTW </u>\n",
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"\n",
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"> **Note:** Les éléments suivants viennent en addition à la modélisation mathématique du VRP.\n",
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"\n",
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"#### **Variable de décision**\n",
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"\n",
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"$[a_i, b_i]$ la fenêtre de temps pour le client $i$ <br>\n",
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"$T_{ik}$ le moment auquel le véhicule $k$ arrive au client $i$\n",
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"\n",
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"#### **Contrainte de TW **\n",
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"$T_{ik}$ est le moment auquel le véhicule $k$ arrive au client $i$. <br>\n",
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"$d_{ij}$ est le temps nécessaire pour se rendre du client $i$ au client $j$. <br>\n",
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"$T_{jk}$ est le moment auquel le véhicule $k$ arrive au client $j$. <br>\n",
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"$M$ est une grande constante <br>\n",
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"\n",
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"\n",
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"\n",
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"- Les fenêtres de temps doivent être respectées :\n",
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"\n",
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"$$ a_j \\leq T_{jk} \\leq b_j,∀k∈ K ,∀j∈V$$\n",
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"\n",
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"- Les temps d'arrivé aux différentes villes pour chaque camion doivent être cohérent :\n",
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"\n",
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"$$ T_{ik} + d_{ij} \\leq T_{jk} + M(1-x_{ijk}), ∀i, j ∈ V, ∀k∈ K $$"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "7670fdf4-884c-4352-83fa-eed0c8b50074",
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"metadata": {},
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"source": [
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"## <u>Algorithme de résolution</u>"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "5160fa32",
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"metadata": {},
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"source": [
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"Dans le cadre de notre projet, nous avons envisagé d'adopter trois algorithmes heuristiques distincts pour résoudre notre problème d'optimisation de trajet entre les villes. Notre objectif est de les comparer afin de déterminer celui qui nous fournira l'itinéraire le plus proche de l'optimal. Les trois algorithmes que nous allons mettre en œuvre sont les suivants :\n",
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"\n",
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"- L'algorithme des colonies de fourmis\n",
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"- L'algorithme du recuit simulé\n",
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"- L'algorithme des essaims particulaires\n",
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"\n",
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"Nous examinerons ensuite leur mise en œuvre et leur fonctionnement pour évaluer leur performance."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "45133ac2",
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"metadata": {},
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"source": [
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"### **Algorithme par colonies de fourmis**"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "3e2ce1cf",
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"metadata": {},
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"source": [
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"L'algorithme par colonies de fourmis est une approche inspirée du comportement des fourmis dans la recherche de chemins optimaux. Cet algorithme permet de résoudre des problèmes d'optimisation de manière efficace."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "169697f4",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Variables to edit:\n",
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"nb_ville = 100\n",
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"max_coords = 1000\n",
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"nb_truck = 4\n",
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"max_time = 4\n",
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"nb_ants = 10\n",
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"alpha = 1\n",
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"beta = 6\n",
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"evaporation = 0.5\n",
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"intensification = 2"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "794657d7",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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"---- TIME ----\n",
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"Generate cities time: 0.0\n",
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"Split cities time: 0.14944958686828613\n",
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"\n",
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"---- CLUSTER ----\n",
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"Total distance for cluster 1 (27 cities) : 2164.794990827718\n",
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"Total distance for cluster 2 (27 cities) : 2122.813485403375\n",
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"Total distance for cluster 3 (26 cities) : 2278.707718333369\n",
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"Total distance for cluster 4 (27 cities) : 2599.5739910855473\n",
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"Total distance for all clusters: 9165.890185650009\n"
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]
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},
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{
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"data": {
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"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Import necessary libraries\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"\n",
|
||
"# Function to generate city coordinates\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" # Generate a list of nb cities, each with random coordinates within the range of max_coords\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"# Calculate maximum time per cluster\n",
|
||
"max_time_per_cluster = max_time / nb_truck\n",
|
||
"\n",
|
||
"# Track the time taken to generate cities\n",
|
||
"start_time_generate = time.time()\n",
|
||
"# Generate cities\n",
|
||
"cities = generate_cities(nb_ville, max_coords)\n",
|
||
"# Set the first city's coordinates at the center\n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"stop_time_generate = time.time()\n",
|
||
"\n",
|
||
"# Track the time taken to split cities across clusters\n",
|
||
"start_time_split = time.time()\n",
|
||
"# Split cities into clusters\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"stop_time_split = time.time()\n",
|
||
"\n",
|
||
"# Print out the time taken for each process\n",
|
||
"print(\"\\n---- TIME ----\")\n",
|
||
"print(\"Generate cities time: \", stop_time_generate - start_time_generate)\n",
|
||
"print(\"Split cities time: \", stop_time_split - start_time_split)\n",
|
||
"\n",
|
||
"# Initialize a new figure for displaying paths\n",
|
||
"plt.figure()\n",
|
||
"plt.title(\"Ant Colony Optimization\")\n",
|
||
"# List of colors for plotting\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"# Initialize a list for storing the best routes\n",
|
||
"best_routes = []\n",
|
||
"\n",
|
||
"print(\"\\n---- CLUSTER ----\")\n",
|
||
"# Iterate through each cluster\n",
|
||
"for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" # Select a color for the cluster\n",
|
||
" color = colors[i % len(colors)]\n",
|
||
" \n",
|
||
" # Retrieve city coordinates for the cluster\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" # Run the AntColony algorithm and store the best route\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=nb_ants, max_time=max_time_per_cluster, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" best_routes.append((best_route, color))\n",
|
||
"\n",
|
||
" # Print the total distance for the cluster\n",
|
||
" print(\"Total distance for cluster {} ({} cities) : {}\".format(i+1, len(cluster_cities), total_distance(best_route)))\n",
|
||
"\n",
|
||
"# Calculate and print total distance for all clusters\n",
|
||
"full_total_distance = 0\n",
|
||
"for route, color in best_routes:\n",
|
||
" full_total_distance += total_distance(route)\n",
|
||
"print(\"Total distance for all clusters: \", full_total_distance)\n",
|
||
"\n",
|
||
"# Plot each route\n",
|
||
"for i, (route, color) in enumerate(best_routes):\n",
|
||
" x = [city[0] for city in route]\n",
|
||
" y = [city[1] for city in route]\n",
|
||
" # Close the loop of the route\n",
|
||
" x.append(x[0])\n",
|
||
" y.append(y[0])\n",
|
||
" # Plot the route\n",
|
||
" plt.plot(x, y, color=color, marker='o', linestyle='-', label=f\"Cluster {i}\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "82c80021",
|
||
"metadata": {},
|
||
"source": [
|
||
"### **Algorithme du recuit simulé**"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "c93a893d",
|
||
"metadata": {},
|
||
"source": [
|
||
"L'algorithme du recuit simulé est une technique d'optimisation inspirée du processus de recuit utilisé dans la métallurgie. Il permet d'explorer de manière probabiliste l'espace des solutions en acceptant occasionnellement des mouvements qui peuvent initialement sembler moins favorables. Cette approche permet de trouver des solutions globales et d'éviter de rester bloqué dans des optima locaux."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"id": "742e5f57",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"nb_ville = 100\n",
|
||
"max_coords = 1000\n",
|
||
"nb_truck = 4\n",
|
||
"temperature = 10000\n",
|
||
"cooling_rate = 0.9999\n",
|
||
"temperature_ok = 0.001"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "de95de4c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"---- TIME ----\n",
|
||
"Generate cities time: 0.0009992122650146484\n",
|
||
"Split cities time: 0.05595564842224121\n",
|
||
"Total distance for cluster 1 (27 cities) : 2812.9786606142725\n",
|
||
"Total distance for cluster 2 (27 cities) : 2870.0631219087168\n",
|
||
"Total distance for cluster 3 (27 cities) : 2660.992000654059\n",
|
||
"Total distance for cluster 4 (27 cities) : 3193.529103806893\n",
|
||
"Total distance for all clusters: 11537.562886983942\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Import necessary libraries\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.simulated_annealing import SimulatedAnnealing, total_distance\n",
|
||
"\n",
|
||
"# Function to generate city coordinates\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" # Generate a list of nb cities, each with random coordinates within the range of max_coords\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"# Track the time taken to generate cities\n",
|
||
"start_time_generate = time.time()\n",
|
||
"# Generate cities\n",
|
||
"cities = generate_cities(nb_ville, max_coords)\n",
|
||
"# Set the first city's coordinates at the center\n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"stop_time_generate = time.time()\n",
|
||
"\n",
|
||
"# Track the time taken to split cities across clusters\n",
|
||
"start_time_split = time.time()\n",
|
||
"# Split cities into clusters\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"stop_time_split = time.time()\n",
|
||
"\n",
|
||
"# Print out the time taken for each process\n",
|
||
"print(\"\\n---- TIME ----\")\n",
|
||
"print(\"Generate cities time: \", stop_time_generate - start_time_generate)\n",
|
||
"print(\"Split cities time: \", stop_time_split - start_time_split)\n",
|
||
"\n",
|
||
"# Initialize a new figure for displaying paths\n",
|
||
"plt.figure()\n",
|
||
"plt.title(\"Simulated Annealing\")\n",
|
||
"# List of colors for plotting\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"# Initialize a list for storing the best routes\n",
|
||
"best_routes = []\n",
|
||
"\n",
|
||
"# Iterate through each cluster\n",
|
||
"for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" # Select a color for the cluster\n",
|
||
" color = colors[i % len(colors)]\n",
|
||
" \n",
|
||
" # Retrieve city coordinates for the cluster\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" # Run the SimulatedAnnealing algorithm and store the best route\n",
|
||
" simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=0.999, temperature_ok=0.01)\n",
|
||
" best_route = simulated_annealing.run()\n",
|
||
" best_routes.append((best_route, color))\n",
|
||
"\n",
|
||
" # Print the total distance for the cluster\n",
|
||
" print(\"Total distance for cluster {} ({} cities) : {}\".format(i+1, len(cluster_cities), total_distance(best_route)))\n",
|
||
"\n",
|
||
"# Calculate and print total distance for all clusters\n",
|
||
"full_total_distance = 0\n",
|
||
"for route, color in best_routes:\n",
|
||
" full_total_distance += total_distance(route)\n",
|
||
"print(\"Total distance for all clusters: \", full_total_distance)\n",
|
||
"\n",
|
||
"# Plot each route\n",
|
||
"for i, (route, color) in enumerate(best_routes):\n",
|
||
" x = [city[0] for city in route]\n",
|
||
" y = [city[1] for city in route]\n",
|
||
" # Close the loop of the route\n",
|
||
" x.append(x[0])\n",
|
||
" y.append(y[0])\n",
|
||
" # Plot the route\n",
|
||
" plt.plot(x, y, color=color, marker='o', linestyle='-', label=f\"Cluster {i}\")\n",
|
||
"# Add legend to the plot\n",
|
||
"plt.legend(loc=\"best\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "4690adfe",
|
||
"metadata": {},
|
||
"source": [
|
||
"### **Algorithme par essaims particulaires**"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "a9539159",
|
||
"metadata": {},
|
||
"source": [
|
||
"L'algorithme des essaims particulaires est une méthode d'optimisation basée sur le comportement collectif des essaims d'animaux, tels que les oiseaux ou les poissons. Il utilise des particules qui se déplacent dans l'espace de recherche et communiquent entre elles pour trouver des solutions optimales. Cet algorithme est efficace pour explorer l'espace des solutions et trouver des optima locaux et globaux."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"id": "22b85b5a",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"num_cities = 50\n",
|
||
"num_trucks = 5\n",
|
||
"num_particles = 50\n",
|
||
"max_iterations = 300\n",
|
||
"inertia_weight = 2\n",
|
||
"cognitive_weight = 1\n",
|
||
"social_weight = 1.5\n",
|
||
"incompleteness_probability = 0.8\n",
|
||
"start_time = 8\n",
|
||
"end_time = 18\n",
|
||
"infinite_distance_value = 1e6"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "9a72af6d",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"### Best solution found:\n",
|
||
"\n",
|
||
"- **City Positions**: 31, 27, 40, 38, 2, 7, 34, 46, 42, 4, 32, 47, 18, 30, 44, 5, 20, 33, 1, 36, 43, 10, 19, 6, 11, 21, 13, 37, 16, 23, 25, 17, 22, 28, 29, 49, 50, 26, 8, 35, 48, 3, 24, 45, 14, 15, 9, 39, 12, 41\n",
|
||
"- **Total Cost**: 96000856.0"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 1: 31 -> 7 -> 32 -> 5 -> 43 -> 21 -> 25 -> 49 -> 48 -> 15 -> 31"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 2: 27 -> 34 -> 47 -> 20 -> 10 -> 13 -> 17 -> 50 -> 3 -> 9 -> 27"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 3: 40 -> 46 -> 18 -> 33 -> 19 -> 37 -> 22 -> 26 -> 24 -> 39 -> 40"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 4: 38 -> 42 -> 30 -> 1 -> 6 -> 16 -> 28 -> 8 -> 45 -> 12 -> 38"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 5: 2 -> 4 -> 44 -> 36 -> 11 -> 23 -> 29 -> 35 -> 14 -> 41 -> 2"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Importing necessary libraries\n",
|
||
"import random\n",
|
||
"import numpy as np\n",
|
||
"import networkx as nx\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import matplotlib\n",
|
||
"from IPython.display import display, Markdown\n",
|
||
"import matplotlib.cm as cm\n",
|
||
"from tests.libs.pso import Particle\n",
|
||
"\n",
|
||
"# Function to generate a matrix of distances between cities\n",
|
||
"def generate_distance_matrix(num_cities, incompleteness_probability):\n",
|
||
" # Initialize an empty matrix with zeros\n",
|
||
" distances = np.zeros((num_cities, num_cities))\n",
|
||
" # Iterate over each city\n",
|
||
" for i in range(num_cities):\n",
|
||
" # For each city, iterate over every other city to calculate distance\n",
|
||
" for j in range(i+1, num_cities):\n",
|
||
" # With certain probability, some distances will be missing (infinite)\n",
|
||
" if random.random() < incompleteness_probability:\n",
|
||
" distances[i, j] = float('inf')\n",
|
||
" distances[j, i] = float('inf')\n",
|
||
" else:\n",
|
||
" # Assign random integer value to the distances between i and j\n",
|
||
" distances[i, j] = random.randint(1, 10)\n",
|
||
" distances[j, i] = distances[i, j]\n",
|
||
" return distances\n",
|
||
"\n",
|
||
"# Function to generate random time windows for each city\n",
|
||
"def generate_time_windows(num_cities, start_time, end_time):\n",
|
||
" time_windows = []\n",
|
||
" # For each city, generate a random start and end time\n",
|
||
" for _ in range(num_cities):\n",
|
||
" start = random.randint(start_time, end_time - 1)\n",
|
||
" end = random.randint(start + 1, end_time)\n",
|
||
" time_windows.append((start, end))\n",
|
||
" return time_windows\n",
|
||
"\n",
|
||
"# Function to generate a graph representation of the cities and the distances between them\n",
|
||
"def generate_city_graph(distances, time_windows):\n",
|
||
" num_cities = distances.shape[0]\n",
|
||
" # Create an empty graph\n",
|
||
" G = nx.Graph()\n",
|
||
" # Add cities as nodes with their corresponding time windows\n",
|
||
" for i in range(num_cities):\n",
|
||
" G.add_node(i+1, time_window=time_windows[i])\n",
|
||
" # Add edges between cities with their corresponding distances\n",
|
||
" for u in range(num_cities):\n",
|
||
" for v in range(u+1, num_cities):\n",
|
||
" if distances[u, v] != float('inf'):\n",
|
||
" G.add_edge(u+1, v+1, distance=distances[u, v])\n",
|
||
" return G\n",
|
||
"\n",
|
||
"# Generate the distances and time windows\n",
|
||
"distances = generate_distance_matrix(num_cities, incompleteness_probability)\n",
|
||
"time_windows = generate_time_windows(num_cities, start_time, end_time)\n",
|
||
"# Generate the city graph\n",
|
||
"G = generate_city_graph(distances, time_windows)\n",
|
||
"\n",
|
||
"# Initialize the particles and the global best position and cost\n",
|
||
"particles = []\n",
|
||
"global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
"global_best_cost = float('inf')\n",
|
||
"for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
"\n",
|
||
"# Main loop for the particle swarm optimization algorithm\n",
|
||
"iteration = 0\n",
|
||
"best_costs = []\n",
|
||
"while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
"# Display the best solution found\n",
|
||
"best_position_str = \", \".join(str(node) for node in global_best_position)\n",
|
||
"best_cost_str = str(global_best_cost)\n",
|
||
"markdown_text = f\"### Best solution found:\\n\\n- **City Positions**: {best_position_str}\\n- **Total Cost**: {best_cost_str}\"\n",
|
||
"display(Markdown(markdown_text))\n",
|
||
"\n",
|
||
"# ---------------- Plot the best cost for each iteration ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Compute the layout positions for the nodes using the spring layout algorithm\n",
|
||
"pos = nx.spring_layout(G)\n",
|
||
"\n",
|
||
"# Create labels for each node in the graph\n",
|
||
"labels = {node: str(node) for node in G.nodes()}\n",
|
||
"\n",
|
||
"# Draw the nodes of the graph using the computed positions\n",
|
||
"nx.draw_networkx_nodes(G, pos)\n",
|
||
"\n",
|
||
"# Draw the edges of the graph using the computed positions\n",
|
||
"nx.draw_networkx_edges(G, pos)\n",
|
||
"\n",
|
||
"# Draw the labels for the nodes using the computed positions and labels\n",
|
||
"nx.draw_networkx_labels(G, pos, labels)\n",
|
||
"\n",
|
||
"# Set the title of the plot\n",
|
||
"plt.title(\"Graph of cities with time windows\")\n",
|
||
"\n",
|
||
"# Turn off the axis display\n",
|
||
"plt.axis(\"off\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot Truck Paths ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Initialize an empty list for truck paths\n",
|
||
"truck_paths = []\n",
|
||
"\n",
|
||
"# Create a colormap for the trucks\n",
|
||
"cmap = matplotlib.colormaps['gist_ncar']\n",
|
||
"colors = [cmap(i/num_trucks) for i in range(num_trucks)]\n",
|
||
"\n",
|
||
"# Split the global best position into separate paths for each truck\n",
|
||
"for truck in range(num_trucks):\n",
|
||
" path = []\n",
|
||
" for i in range(len(global_best_position)):\n",
|
||
" if i % num_trucks == truck:\n",
|
||
" city = global_best_position[i]\n",
|
||
" path.append(int(city))\n",
|
||
" path.append(path[0]) # Making the path circular by adding the first city to the end of the path\n",
|
||
" truck_paths.append(path)\n",
|
||
"\n",
|
||
"# Plot the truck paths on a graph\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.title(\"Truck Paths\")\n",
|
||
"plt.axis(\"off\")\n",
|
||
"for i in range(num_trucks):\n",
|
||
" path = truck_paths[i]\n",
|
||
" path_str = \" -> \".join(str(city) for city in path)\n",
|
||
" text = f\"Truck {i+1}: {path_str}\"\n",
|
||
" display(Markdown(text))\n",
|
||
" edges = [(path[j], path[j+1]) for j in range(len(path)-1)]\n",
|
||
" nx.draw_networkx_edges(G, pos, edgelist=edges, edge_color=colors[i], label=f\"Truck {i+1}\")\n",
|
||
" nx.draw_networkx_labels(G, pos, labels)\n",
|
||
"plt.legend()\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot path cost for Each Truck ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Initialize an empty list for the total cost of each path\n",
|
||
"path_costs = []\n",
|
||
"\n",
|
||
"# Calculate the total cost of each path\n",
|
||
"for path in truck_paths:\n",
|
||
" path_cost = 0\n",
|
||
" for i in range(len(path) - 1):\n",
|
||
" u, v = path[i] - 1, path[i + 1] - 1 # Adjust the indices\n",
|
||
" # If the distance is infinite, use a replacement value.\n",
|
||
" distance = distances[u, v] if distances[u, v] != float('inf') else infinite_distance_value\n",
|
||
" path_cost += distance\n",
|
||
" path_costs.append(path_cost)\n",
|
||
"\n",
|
||
"# Plot a histogram of the path costs\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.bar(range(1, num_trucks + 1), path_costs, color=cm.rainbow(np.linspace(0, 1, num_trucks)))\n",
|
||
"plt.xlabel(\"Truck\")\n",
|
||
"plt.ylabel(\"Path Cost\")\n",
|
||
"plt.title(\"Path Cost for Each Truck\")\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot Evolution of the Best Cost Over Iterations ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Plot a graph of the evolution of the best cost\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(range(1, max_iterations + 1), best_costs)\n",
|
||
"plt.title(\"Evolution of the Best Cost Over Iterations\")\n",
|
||
"plt.xlabel(\"Iteration\")\n",
|
||
"plt.ylabel(\"Best Cost\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "d437ed79",
|
||
"metadata": {},
|
||
"source": [
|
||
"## <u>Plan d'expérience et statistiques</u>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "21cee601",
|
||
"metadata": {},
|
||
"source": [
|
||
"L'objectif du plan d'expérience est de comparer différentes configurations et paramètres des algorithmes afin d'optimiser leurs performances. Cela nous permettra d'identifier les réglages les plus efficaces pour obtenir un itinéraire proche de l'optimal."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "16ff37ee",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### **Algorithme par colonies de fourmis (avec suite de valeurs : ATT48)**"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "cb2ffbcb",
|
||
"metadata": {},
|
||
"source": [
|
||
"D'après de nombreuses recherches sur internet, les valeurs optimales des paramètres de l'algorithme des colonies de fourmis sont les suivantes :\n",
|
||
"\n",
|
||
"- Nombre de fourmis (nb_ants) : 10 <br>\n",
|
||
"- Facteur d'importance de la phéromone (alpha) : 1 <br>\n",
|
||
"- Facteur d'importance de la distance (beta) : 4 <br>\n",
|
||
"- Facteur d'évaporation (evaporation) : 0.5 <br>\n",
|
||
"- Facteur de dépot de phéromones (intensification) : 2 <br>\n",
|
||
"\n",
|
||
"A l'aide des scripts Python suivants, nous pouvons tester pour une configuration précise et pour chaque limite de temps (max_times), la variation des résultats en fonction des valeurs de Alpha et Beta\n",
|
||
"\n",
|
||
"> **Note:** Pour la réalisation de nos tests, nous avons utilisé la suite de valeur ATT48, donc l'optimal est connu : 33523"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "462bb60a",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Identification de la valeur optimale de Alpha**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"id": "164e5e20",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"max_times = [0.1, 0.2, 0.5, 1, 2]\n",
|
||
"alphas = [1, 2, 4, 6]\n",
|
||
"\n",
|
||
"\n",
|
||
"n_ants = 10\n",
|
||
"beta = 4\n",
|
||
"evaporation = 0.5\n",
|
||
"intensification = 2\n",
|
||
"n_runs = 2 # Number of times each configuration will be run to obtain an average"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"id": "e9976ca3",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"The script will take at least : 30.4 seconds\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x700 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import numpy as np\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]]\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"average_best_route_per_max_time_per_alpha = []\n",
|
||
"\n",
|
||
"def calculer_temps_total(max_times, alphas, n_runs):\n",
|
||
" temps_total = 0\n",
|
||
" for max_time in max_times:\n",
|
||
" for alpha in alphas:\n",
|
||
" temps_total += max_time * n_runs\n",
|
||
" return temps_total\n",
|
||
"\n",
|
||
"print(\"The script will take at least : {} seconds\".format(calculer_temps_total(max_times, alphas, n_runs)))\n",
|
||
"\n",
|
||
"for alpha in alphas:\n",
|
||
" average_best_route_per_max_time = []\n",
|
||
" for max_time in max_times:\n",
|
||
"\n",
|
||
" total_best_route_length = 0\n",
|
||
"\n",
|
||
" for _ in range(n_runs):\n",
|
||
" clusters = split_tour_across_clusters(cities, 1)\n",
|
||
"\n",
|
||
" total_distance_for_run = 0\n",
|
||
"\n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=n_ants, max_time=max_time, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" total_distance_for_run += total_distance(best_route)\n",
|
||
"\n",
|
||
" total_best_route_length += total_distance_for_run\n",
|
||
"\n",
|
||
" average_best_route_length = total_best_route_length / n_runs\n",
|
||
" average_best_route_per_max_time.append(average_best_route_length)\n",
|
||
"\n",
|
||
" average_best_route_per_max_time_per_alpha.append(average_best_route_per_max_time)\n",
|
||
"\n",
|
||
"colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']\n",
|
||
"\n",
|
||
"total_bars_per_group = len(alphas)\n",
|
||
"total_groups = len(max_times)\n",
|
||
"\n",
|
||
"unit_space_per_group = 1\n",
|
||
"bars_space_per_group = total_bars_per_group / (total_bars_per_group + 1)\n",
|
||
"bar_width = bars_space_per_group / total_bars_per_group\n",
|
||
"\n",
|
||
"bar_positions = np.arange(total_groups)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10, 7))\n",
|
||
"\n",
|
||
"for i, average_best_route_per_max_time in enumerate(average_best_route_per_max_time_per_alpha):\n",
|
||
" plt.bar(bar_positions + i * bar_width, average_best_route_per_max_time, width=bar_width, color=colors[i], label=f'Alpha={alphas[i]}')\n",
|
||
" for j, v in enumerate(average_best_route_per_max_time):\n",
|
||
" plt.text(j + i * bar_width, v + 0.01 + (i*0.2), int(v), va='bottom', ha='center')\n",
|
||
"\n",
|
||
"plt.axhline(y=optimal, color='r')\n",
|
||
"\n",
|
||
"plt.xticks(bar_positions + bar_width / 2, max_times) # Set the x-axis labels to be the max_time values\n",
|
||
"plt.xlabel('Max time')\n",
|
||
"plt.ylabel('Average best route length')\n",
|
||
"plt.legend()\n",
|
||
"\n",
|
||
"title = \"\"\n",
|
||
"title += \"Average best route length ({} iterations) for different max times\\n\".format(n_runs)\n",
|
||
"title += \"Nb cities: \" + str(len(cities)) + \" / \"\n",
|
||
"title += \"Ants: \" + str(n_ants) + \" / \"\n",
|
||
"title += \"Alpha: \" + str(alphas) + \" / \"\n",
|
||
"title += \"Beta: \" + str(beta) + \" / \"\n",
|
||
"title += \"Evaporation: \" + str(evaporation) + \" / \"\n",
|
||
"title += \"Intensification: \" + str(intensification)\n",
|
||
"plt.title(title)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "da9ad75d",
|
||
"metadata": {},
|
||
"source": [
|
||
"Grâce à cet histogramme, nous pouvons constater que la meilleure valeur pour alpha est 1."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "e5e45768",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Identification de la valeur optimale de Beta**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 2,
|
||
"id": "8acba8cc",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"max_times = [0.1, 0.2, 0.5, 1, 2]\n",
|
||
"betas = [2, 4, 6, 8]\n",
|
||
"\n",
|
||
"n_ants = 10\n",
|
||
"alpha = 1\n",
|
||
"evaporation = 0.5\n",
|
||
"intensification = 2\n",
|
||
"n_runs = 2 # Number of times each configuration will be run to obtain an average"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"id": "ac26e5be",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"The script will take at least : 30.4 seconds\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"import numpy as np\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]]\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"average_best_route_per_max_time_per_beta = []\n",
|
||
"\n",
|
||
"def calculer_temps_total(max_times, betas, n_runs):\n",
|
||
" temps_total = 0\n",
|
||
" for max_time in max_times:\n",
|
||
" for beta in betas:\n",
|
||
" temps_total += max_time * n_runs\n",
|
||
" return temps_total\n",
|
||
"\n",
|
||
"print(\"The script will take at least : {} seconds\".format(calculer_temps_total(max_times, betas, n_runs)))\n",
|
||
"\n",
|
||
"for beta in betas:\n",
|
||
" average_best_route_per_max_time = []\n",
|
||
"\n",
|
||
" for max_time in max_times:\n",
|
||
"\n",
|
||
" total_best_route_length = 0\n",
|
||
"\n",
|
||
" for _ in range(n_runs):\n",
|
||
" clusters = split_tour_across_clusters(cities, 1)\n",
|
||
"\n",
|
||
" total_distance_for_run = 0\n",
|
||
"\n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=n_ants, max_time=max_time, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" total_distance_for_run += total_distance(best_route)\n",
|
||
"\n",
|
||
" total_best_route_length += total_distance_for_run\n",
|
||
"\n",
|
||
" average_best_route_length = total_best_route_length / n_runs\n",
|
||
" average_best_route_per_max_time.append(average_best_route_length)\n",
|
||
"\n",
|
||
" average_best_route_per_max_time_per_beta.append(average_best_route_per_max_time)\n",
|
||
"\n",
|
||
"# Maintenant, nous avons toutes les valeurs moyennes, créons un histogramme\n",
|
||
"colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']\n",
|
||
"\n",
|
||
"total_bars_per_group = len(betas)\n",
|
||
"total_groups = len(max_times)\n",
|
||
"\n",
|
||
"# Unité d'espace pour chaque groupe de barres (incluant l'espace entre les groupes)\n",
|
||
"unit_space_per_group = 1\n",
|
||
"\n",
|
||
"# Espace qui serait occupé par les barres dans chaque groupe\n",
|
||
"bars_space_per_group = total_bars_per_group / (total_bars_per_group + 1)\n",
|
||
"\n",
|
||
"# La largeur de chaque barre serait\n",
|
||
"bar_width = bars_space_per_group / total_bars_per_group\n",
|
||
"index = np.arange(len(max_times))\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"\n",
|
||
"for i, average_best_route_per_max_time in enumerate(average_best_route_per_max_time_per_beta):\n",
|
||
" plt.bar(index + i * bar_width, average_best_route_per_max_time, bar_width, color=colors[i], label='Beta = '+str(betas[i]))\n",
|
||
" for j, v in enumerate(average_best_route_per_max_time):\n",
|
||
" plt.text(j + i * bar_width, v + 0.01 + (i*0.2), int(v), va='bottom', ha='center')\n",
|
||
"\n",
|
||
"plt.axhline(y=optimal, color='r')\n",
|
||
"plt.xlabel('Max time')\n",
|
||
"plt.ylabel('Average best route length')\n",
|
||
"\n",
|
||
"title = \"\"\n",
|
||
"title += \"Comparaison of betas with average best route length ({} iterations) for different max times and each betas\\n\".format(n_runs)\n",
|
||
"title += \"Nb cities: \" + str(len(cities)) + \" / \"\n",
|
||
"title += \"Ants: \" + str(n_ants) + \" / \"\n",
|
||
"title += \"Alpha: \" + str(alpha) + \" / \"\n",
|
||
"title += \"Evaporation: \" + str(evaporation) + \" / \"\n",
|
||
"title += \"Intensification: \" + str(intensification)\n",
|
||
"plt.title(title)\n",
|
||
"\n",
|
||
"plt.xticks(index + bar_width / 2, max_times)\n",
|
||
"plt.legend()\n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "5c9480aa",
|
||
"metadata": {},
|
||
"source": [
|
||
"Grâce à cet histogramme, nous pouvons constater que la meilleure valeur pour beta est 4 ou 6 voire 8."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "2f04c4a0",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Résultats pour les valeurs optimales de Alpha (1) et Beta (4) pour chaque temps maximum**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"id": "e5c69b50",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"max_times = [0.01, 0.1, 0.2, 0.5, 1, 2, 5, 10]\n",
|
||
"n_ants = 10\n",
|
||
"alpha = 1\n",
|
||
"beta = 4\n",
|
||
"evaporation = 0.5\n",
|
||
"intensification = 2\n",
|
||
"n_runs = 3 # Number of times each configuration will be run to obtain an average"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 26,
|
||
"id": "1b26d987",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"The script will take at least : 56.43 seconds\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]]\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"average_best_route_per_max_time = []\n",
|
||
"\n",
|
||
"def calculer_temps_total(max_times, n_runs):\n",
|
||
" temps_total = 0\n",
|
||
" for max_time in max_times:\n",
|
||
" temps_total += max_time * n_runs\n",
|
||
" return temps_total\n",
|
||
"\n",
|
||
"print(\"The script will take at least : {} seconds\".format(calculer_temps_total(max_times, n_runs)))\n",
|
||
"\n",
|
||
"for max_time in max_times:\n",
|
||
"\n",
|
||
" total_best_route_length = 0\n",
|
||
"\n",
|
||
" for _ in range(n_runs):\n",
|
||
" clusters = split_tour_across_clusters(cities, 1)\n",
|
||
"\n",
|
||
" total_distance_for_run = 0\n",
|
||
"\n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=n_ants, max_time=max_time, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" total_distance_for_run += total_distance(best_route)\n",
|
||
"\n",
|
||
" total_best_route_length += total_distance_for_run\n",
|
||
"\n",
|
||
" average_best_route_length = total_best_route_length / n_runs\n",
|
||
" average_best_route_per_max_time.append(average_best_route_length)\n",
|
||
"\n",
|
||
"# Maintenant, nous avons toutes les valeurs moyennes, créons un histogramme\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"bar_width = 0.8\n",
|
||
"bar_positions = range(len(max_times)) # Crée une liste d'indices pour chaque barre\n",
|
||
"plt.bar(bar_positions, average_best_route_per_max_time, width=bar_width, color=colors[:len(max_times)])\n",
|
||
"plt.axhline(y=optimal, color='r')\n",
|
||
"\n",
|
||
"# Ajouter des valeurs au-dessus des barres\n",
|
||
"for i, v in enumerate(average_best_route_per_max_time):\n",
|
||
" plt.text(i - 0.15, v + 0.01, round(v, 2))\n",
|
||
"\n",
|
||
"plt.xticks(bar_positions, max_times) # Fixe les labels sur l'axe des x aux valeurs de max_time\n",
|
||
"plt.xlabel('Max time')\n",
|
||
"plt.ylabel('Average best route length')\n",
|
||
"\n",
|
||
"title = \"\"\n",
|
||
"title += \"Average best route length ({} iterations) for different max times\\n\".format(n_runs)\n",
|
||
"title += \"Nb cities: \" + str(len(cities)) + \" / \"\n",
|
||
"title += \"Ants: \" + str(n_ants) + \" / \"\n",
|
||
"title += \"Alpha: \" + str(alpha) + \" / \"\n",
|
||
"title += \"Beta: \" + str(beta) + \" / \"\n",
|
||
"title += \"Evaporation: \" + str(evaporation) + \" / \"\n",
|
||
"title += \"Intensification: \" + str(intensification)\n",
|
||
"plt.title(title)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "7b2bbf83",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Résultats pour les valeurs optimales de Alpha (1) et Beta (6) pour chaque temps maximum**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"id": "5bd5b109",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"max_times = [0.01, 0.1, 0.2, 0.5, 1, 2, 5, 10]\n",
|
||
"n_ants = 10\n",
|
||
"alpha = 1\n",
|
||
"beta = 6\n",
|
||
"evaporation = 0.5\n",
|
||
"intensification = 2\n",
|
||
"n_runs = 3 # Number of times each configuration will be run to obtain an average"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 27,
|
||
"id": "fe4494a4",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"The script will take at least : 56.43 seconds\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]]\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"average_best_route_per_max_time = []\n",
|
||
"\n",
|
||
"def calculer_temps_total(max_times, n_runs):\n",
|
||
" temps_total = 0\n",
|
||
" for max_time in max_times:\n",
|
||
" temps_total += max_time * n_runs\n",
|
||
" return temps_total\n",
|
||
"\n",
|
||
"print(\"The script will take at least : {} seconds\".format(calculer_temps_total(max_times, n_runs)))\n",
|
||
"\n",
|
||
"for max_time in max_times:\n",
|
||
"\n",
|
||
" total_best_route_length = 0\n",
|
||
"\n",
|
||
" for _ in range(n_runs):\n",
|
||
" clusters = split_tour_across_clusters(cities, 1)\n",
|
||
"\n",
|
||
" total_distance_for_run = 0\n",
|
||
"\n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=n_ants, max_time=max_time, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" total_distance_for_run += total_distance(best_route)\n",
|
||
"\n",
|
||
" total_best_route_length += total_distance_for_run\n",
|
||
"\n",
|
||
" average_best_route_length = total_best_route_length / n_runs\n",
|
||
" average_best_route_per_max_time.append(average_best_route_length)\n",
|
||
"\n",
|
||
"# Maintenant, nous avons toutes les valeurs moyennes, créons un histogramme\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"bar_width = 0.8\n",
|
||
"bar_positions = range(len(max_times)) # Crée une liste d'indices pour chaque barre\n",
|
||
"plt.bar(bar_positions, average_best_route_per_max_time, width=bar_width, color=colors[:len(max_times)])\n",
|
||
"plt.axhline(y=optimal, color='r')\n",
|
||
"\n",
|
||
"# Ajouter des valeurs au-dessus des barres\n",
|
||
"for i, v in enumerate(average_best_route_per_max_time):\n",
|
||
" plt.text(i - 0.15, v + 0.01, round(v, 2))\n",
|
||
"\n",
|
||
"plt.xticks(bar_positions, max_times) # Fixe les labels sur l'axe des x aux valeurs de max_time\n",
|
||
"plt.xlabel('Max time')\n",
|
||
"plt.ylabel('Average best route length')\n",
|
||
"\n",
|
||
"title = \"\"\n",
|
||
"title += \"Average best route length ({} iterations) for different max times\\n\".format(n_runs)\n",
|
||
"title += \"Nb cities: \" + str(len(cities)) + \" / \"\n",
|
||
"title += \"Ants: \" + str(n_ants) + \" / \"\n",
|
||
"title += \"Alpha: \" + str(alpha) + \" / \"\n",
|
||
"title += \"Beta: \" + str(beta) + \" / \"\n",
|
||
"title += \"Evaporation: \" + str(evaporation) + \" / \"\n",
|
||
"title += \"Intensification: \" + str(intensification)\n",
|
||
"plt.title(title)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "6b9d0852",
|
||
"metadata": {},
|
||
"source": [
|
||
"On peut conclure que, peu importe la liste de temps de calcul, on obtient à chaque fois de meilleur résultats pour Beta = 6."
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "f0630480",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Algorithme du recuit simulé**"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "3604c537",
|
||
"metadata": {},
|
||
"source": [
|
||
"Comme l'algorithme par colonies de fourmis, d'après de nombreuses recherches sur internet, les valeurs optimales des paramètres de l'algorithme du recuit simulé sont les suivantes :\n",
|
||
"\n",
|
||
"- Température initiale : 10000 <br>\n",
|
||
"- Taux de refroidissement : 0.995 <br>\n",
|
||
"- Température finale : 0.1 <br>\n",
|
||
"\n",
|
||
"A l'aide des scripts Python suivants, nous pouvons tester pour une configuration précise et pour chaque limite de temps (max_times), la variation des résultats en fonction des valeurs de la température initiale et du taux de refroidissement.\n",
|
||
"\n",
|
||
"> **Note:** Pour la réalisation de nos tests, nous avons utilisé la suite de valeur ATT48, donc l'optimal est connu : 33523"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "99163665",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Evolution de la distance en fonction du nombre d'itération pour plusieurs taux de refroidissement avec une température initiale de 10000**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"id": "ba1a3d56",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"nb_ville = 100\n",
|
||
"max_coords = 1000\n",
|
||
"nb_truck = 1\n",
|
||
"temperature = 10000\n",
|
||
"cooling_rates = [0.999 , 0.99, 0.9 , 0.8]\n",
|
||
"temperature_ok = 0.001"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"id": "96777266",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.simulated_annealing_stats import SimulatedAnnealing, total_distance\n",
|
||
"\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]] \n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"results = []\n",
|
||
"\n",
|
||
"for cooling_rate in cooling_rates:\n",
|
||
" distances_over_time = []\n",
|
||
" \n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
" simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=cooling_rate, temperature_ok=0.01)\n",
|
||
" best_route, distances = simulated_annealing.run()\n",
|
||
" distances_over_time.extend(distances)\n",
|
||
"\n",
|
||
" # Record results for this cooling rate\n",
|
||
" results.append({\n",
|
||
" 'cooling_rate': cooling_rate,\n",
|
||
" 'distances': distances_over_time,\n",
|
||
" })\n",
|
||
"\n",
|
||
"# Plotting total distances for each cooling rate over time\n",
|
||
"plt.figure()\n",
|
||
"for result in results:\n",
|
||
" plt.plot(result['distances'], label=f'Cooling rate: {result[\"cooling_rate\"]}')\n",
|
||
"plt.xlabel('Iteration')\n",
|
||
"plt.ylabel('Total distance')\n",
|
||
"plt.legend(loc='upper right')\n",
|
||
"plt.title('Total distance over iterations for different cooling rates')\n",
|
||
"plt.axhline(y=optimal, color='black', linestyle='--')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "259893fe",
|
||
"metadata": {},
|
||
"source": [
|
||
"##### **Evolution de la distance en fonction du nombre d'itération pour plusieurs taux de refroidissement avec une température initiale de 20000**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"id": "e2ac06ae",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"nb_ville = 100\n",
|
||
"max_coords = 1000\n",
|
||
"nb_truck = 1\n",
|
||
"temperature = 20000\n",
|
||
"cooling_rates = [0.999 , 0.99, 0.9 , 0.8]\n",
|
||
"temperature_ok = 0.001"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"id": "1da86cf3",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.simulated_annealing_stats import SimulatedAnnealing, total_distance\n",
|
||
"\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]] \n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"\n",
|
||
"optimal = 33523\n",
|
||
"\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"results = []\n",
|
||
"\n",
|
||
"for cooling_rate in cooling_rates:\n",
|
||
" distances_over_time = []\n",
|
||
" \n",
|
||
" for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
" simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=cooling_rate, temperature_ok=0.01)\n",
|
||
" best_route, distances = simulated_annealing.run()\n",
|
||
" distances_over_time.extend(distances)\n",
|
||
"\n",
|
||
" # Record results for this cooling rate\n",
|
||
" results.append({\n",
|
||
" 'cooling_rate': cooling_rate,\n",
|
||
" 'distances': distances_over_time,\n",
|
||
" })\n",
|
||
"\n",
|
||
"# Plotting total distances for each cooling rate over time\n",
|
||
"plt.figure()\n",
|
||
"for result in results:\n",
|
||
" plt.plot(result['distances'], label=f'Cooling rate: {result[\"cooling_rate\"]}')\n",
|
||
"plt.xlabel('Iteration')\n",
|
||
"plt.ylabel('Total distance')\n",
|
||
"plt.legend(loc='upper right')\n",
|
||
"plt.title('Total distance over iterations for different cooling rates')\n",
|
||
"plt.axhline(y=optimal, color='black', linestyle='--')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "a4379d79",
|
||
"metadata": {},
|
||
"source": [
|
||
"On peut voir qu'avec une temperature initale supérieur tel que 20000, on obtient un meilleur résultat avec un nombre d'itération identique"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "7920c3f6",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### **Test de la variation du coût optimal en faisant varier le paramètre \"inertia weight\"**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 44,
|
||
"id": "7b503f38",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# List of inertia values to test\n",
|
||
"inertia_values = np.linspace(0.1, 5, 10)\n",
|
||
"\n",
|
||
"# Initialize list to store optimal cost for each inertia value\n",
|
||
"optimal_costs = []\n",
|
||
"\n",
|
||
"# Loop over each inertia value\n",
|
||
"for inertia_weight in inertia_values:\n",
|
||
" # Initialize particles and the global best cost\n",
|
||
" particles = []\n",
|
||
" global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
" global_best_cost = float('inf')\n",
|
||
" \n",
|
||
" # Initialize particles and find the best cost\n",
|
||
" for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" \n",
|
||
" # Iterate to find the optimal solution\n",
|
||
" iteration = 0\n",
|
||
" best_costs = []\n",
|
||
" while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
" # Store the optimal cost for this inertia value\n",
|
||
" optimal_costs.append(global_best_cost)\n",
|
||
"\n",
|
||
"# Plot the evolution of the optimal cost as a function of inertia\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(inertia_values, optimal_costs)\n",
|
||
"plt.title(\"Evolution of Optimal Cost as a Function of Inertia\")\n",
|
||
"plt.xlabel(\"Inertia\")\n",
|
||
"plt.ylabel(\"Optimal Cost\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "f3b2b02d",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Test de la variation du coût optimal en faisant varier le paramètre \"cognitive weight\""
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"id": "c33fdf6c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# List of cognitive weight values to test\n",
|
||
"cognitive_values = np.linspace(0.1, 5, 10) \n",
|
||
"\n",
|
||
"# Initialize list to store optimal cost for each cognitive weight value\n",
|
||
"optimal_costs = []\n",
|
||
"\n",
|
||
"# Loop over each cognitive weight value\n",
|
||
"for cognitive_weight in cognitive_values:\n",
|
||
" # Initialize particles and the global best cost\n",
|
||
" particles = []\n",
|
||
" global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
" global_best_cost = float('inf')\n",
|
||
" \n",
|
||
" # Initialize particles and find the best cost\n",
|
||
" for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" \n",
|
||
" # Iterate to find the optimal solution\n",
|
||
" iteration = 0\n",
|
||
" best_costs = []\n",
|
||
" while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
" # Store the optimal cost for this cognitive weight value\n",
|
||
" optimal_costs.append(global_best_cost)\n",
|
||
"\n",
|
||
"# Plot the evolution of the optimal cost as a function of cognitive weight\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(cognitive_values, optimal_costs)\n",
|
||
"plt.title(\"Evolution of Optimal Cost as a Function of Cognitive Weight\")\n",
|
||
"plt.xlabel(\"Cognitive Weight\")\n",
|
||
"plt.ylabel(\"Optimal Cost\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "4fcf097c",
|
||
"metadata": {},
|
||
"source": [
|
||
"## La méthode du coude "
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "14189433",
|
||
"metadata": {},
|
||
"source": [
|
||
"La méthode du coude est utilisée pour trouver le nombre optimal de clusters dans un ensemble de données non étiquetées en analysant un graphique qui représente la qualité de la partition en fonction du nombre de clusters. Le point de coude dans le graphique indique le nombre optimal de clusters. Cela aide à la segmentation et à l'analyse des données dans l'apprentissage automatique non supervisé."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1,
|
||
"id": "ca2ef6d8",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.cluster import KMeans\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import numpy as np\n",
|
||
"import random, time, math\n",
|
||
"\n",
|
||
"# Function to generate random coordinates for cities\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"nb_ville = 100 # number of cities\n",
|
||
"max_coords = 1000 # maximum value for coordinates\n",
|
||
"\n",
|
||
"max_clusters = 20 # maximum number of clusters\n",
|
||
"\n",
|
||
"start_time_generate = time.time()\n",
|
||
"cities = generate_cities(nb_ville, max_coords) # generate cities\n",
|
||
"stop_time_generate = time.time()\n",
|
||
"\n",
|
||
"# Function to apply the elbow method for determining optimal number of clusters\n",
|
||
"def elbow_method(cities, max_clusters):\n",
|
||
" inertias = [] # list to store the inertia for each number of clusters\n",
|
||
" for i in range(1, max_clusters+1):\n",
|
||
" # Apply KMeans clustering\n",
|
||
" kmeans = KMeans(n_clusters=i, random_state=0, n_init='auto').fit(cities)\n",
|
||
" # Append the inertia (sum of squared distances to closest centroid) to the list\n",
|
||
" inertias.append(kmeans.inertia_)\n",
|
||
" return inertias\n",
|
||
"\n",
|
||
"cities = generate_cities(nb_ville, max_coords) # generate cities \n",
|
||
"inertias = elbow_method(cities, max_clusters) # apply elbow method\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.plot(range(1, len(inertias)+1), inertias, marker='o') # plot the inertia for each number of clusters\n",
|
||
"plt.title('Elbow Method') # set title of the plot\n",
|
||
"plt.xlabel('Number of clusters') # set x-axis label\n",
|
||
"plt.ylabel('Inertia') # set y-axis label\n",
|
||
"plt.show() # display the plot"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.11.3"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|