new tsp with minimum, new script to make stats, new png with stats

This commit is contained in:
Louis 2023-06-19 08:54:25 +02:00
parent c903686d07
commit 0f5b70bd6f
21 changed files with 187 additions and 26 deletions

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@ -58,7 +58,7 @@ def plot_clusters(cities, clusters):
nb_ville = 1000
max_coords = 1000
nb_truck = 2
nb_truck = 20
# Define the coordinates of the cities
# And set depot at the first city in the middle of the map

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@ -1,17 +1,16 @@
from matplotlib import pyplot as plt
from libs.aco import AntColony, total_distance
cities = [[37.4393516691, 541.2090699418], [612.1759508571, 494.3166877396], [38.1312338227, 353.1484581781], [53.4418081065, 131.484901365], [143.0606355347, 631.7200953923], [689.9451267256, 468.5354998742], [112.7478815786, 529.417757826], [141.4875865042, 504.818485571], [661.0513901702, 445.9375182115], [98.7899036592, 384.5926031158], [697.3881696597, 180.3962284275], [536.4894189738, 287.2279085051], [192.4067320507, 20.439405931], [282.7865258765, 229.8001556189], [240.8251726391, 281.51414372], [246.9281323057, 322.461332116], [649.7313216456, 62.3331575282], [352.96585626, 666.7873101942], [633.392367658, 534.9398453712], [488.311799404, 437.4869439948], [141.4039286509, 228.4325551488], [17.3632612602, 240.2407068508], [397.5586451389, 231.3591208928], [565.7853781464, 282.3858748974], [475.8975387047, 468.5392706317], [322.4224566559, 550.3165478233], [397.5586634023, 74.7588387765], [672.8618339396, 432.882640963], [571.2189680147, 530.261699153], [104.6531165914, 482.8224768783], [356.7098388794, 67.6477131712], [400.4070255527, 253.6794479997], [282.3036243109, 426.8380500923], [58.7766988363, 507.1712386832], [189.75062244, 460.3815233617], [659.9124120147, 226.6284156239], [639.0307636033, 467.2302300719], [415.0258357432, 233.3045376118], [547.2662016307, 161.6589278401], [616.6547902644, 339.3409309407], [494.8592427417, 148.1217856389], [629.9980812186, 433.4548164038], [471.101431241, 314.2219307579], [138.2440514421, 137.1679919735], [91.5847556724, 110.0203007516], [390.6972811808, 423.9774318385], [565.1617825137, 429.1598152874], [54.5248980387, 438.5515408431], [334.350832971, 153.796923804], [531.0291024509, 612.3874827889], [475.7345905802, 385.7844618897], [228.8325218994, 410.4461939615], [578.3805347586, 321.3303494537], [358.9170574485, 404.4670352898], [486.4648554867, 593.0429937016], [343.169370767, 509.3123571315], [530.3626972076, 137.6881275684], [498.8065475299, 576.2102674608], [224.31827155, 312.4677490415], [595.836073259, 81.8130051356], [661.5588724308, 217.0456944477], [43.6892045516, 305.4722789165], [79.465345253, 445.9641737689], [210.4163247004, 130.7151137038], [432.2642292251, 629.4092661116], [623.2487161301, 69.189285084], [436.5194739944, 282.935645607], [59.4163265482, 40.1280234442], [630.9230074073, 230.342988813], [579.3265539688, 601.0359410602], [117.862450748, 112.9796833705], [297.7912565664, 166.3131886803], [22.7642703744, 455.5340094037], [259.7095810385, 10.6199925885], [342.3579873647, 599.3880182608], [10.0260950143,
488.9310558282], [315.2926064118, 273.2275475579], [220.7044919297, 270.0819745721], [192.1186059948, 314.1839922798], [271.5042718992, 225.2921989972], [530.7320005441, 504.0670155337], [42.5331441666, 656.3645162886], [396.1274792588, 539.4648066027], [118.6631474021, 508.7129103929], [395.6913876595, 699.5376048429], [559.0157105844, 560.8866941411], [22.6471035906, 526.2470392816], [135.6377085256, 325.8409901555], [141.4507014379, 485.2477927763], [396.7741299332, 460.7557115283], [87.7494562765, 19.6170129082], [350.4245639661, 420.6531186835], [216.7010817133, 466.4816410995], [130.9237737024, 351.1491733079], [72.6329856671, 645.7852219213], [144.6002949996, 457.4224283926], [212.3725077442, 594.9216893413], [49.9186786455, 541.4350825349], [656.6943525585, 558.1109593509], [176.5941623792, 648.5239953299], [500.3825200226, 198.7428378322], [634.317867842, 612.8291643194], [59.7537372726, 551.6321886765], [15.2145765106, 143.0441928532], [283.0054378872, 376.4439530184], [146.5389000907, 39.4231794338], [101.8685605377, 635.098685018], [588.1968537448, 580.5946976921], [457.2628632528, 350.0164047376], [537.4663680494, 472.5842276692], [269.3669098585, 367.4763636538], [239.9045383695, 102.629765339], [88.4677500396, 384.0507209275], [658.9133693395, 583.9575181023], [97.7359146347, 157.4558657632], [506.6191384007, 233.0022156094], [500.2566898239, 64.9136393489], [594.4048565021, 275.874186899], [66.230814661, 24.1317387604], [598.4162993909, 414.5557574275], [172.308833083, 344.3963466366], [299.48128518, 251.829512132], [303.8379894831, 21.052606379], [197.896926984, 512.388896098], [56.0199567669, 243.0663818382], [255.5566183121, 448.8651882442], [608.4256112402, 222.5421309272], [70.2722703273, 77.9227026433], [398.2298999899, 119.557657386], [635.4970237093, 133.3225902609], [378.3484559418, 272.2907677147], [484.8029663388, 677.0730379436], [278.8710882619, 299.9308770828], [381.6537300653, 360.3337602785], [557.6070707573, 595.3185092281], [249.0589749342, 76.6595112599], [562.9048787838, 670.0382113114], [398.550436558, 392.6493259144], [590.893972056, 370.7414913742], [558.2008003726, 0.4198814512], [461.4114714423, 530.5254969413], [354.7242881504, 685.40453619], [193.6611295657,
669.7432521028], [352.3140807211, 140.3273323662], [308.434570974, 115.2054269847], [299.588137008, 530.588961902], [334.2748764383, 152.1494569394], [690.9658585947, 134.5793307203], [48.0798124069, 270.968067372], [91.6467647724, 166.3541158474]]
optimal = 6528
name = "att48"
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]]
optimal = 33523
n_ants = 10
alpha = 1
beta = 2
evaporation = 0.5
intensification = 2
max_times = [1, 2, 5]
max_times = [0.1, 0.5, 1]
iterations = 2
best_distances = []
@ -48,13 +47,13 @@ for max_time in max_times:
times.append(max_time)
title = ""
title += "Best distance per iterations\n"
title += "Ants: " + str(n_ants) + " "
title += "Alpja: " + str(alpha) + " "
title += "Beta: " + str(beta) + " "
title += "Evaporation: " + str(evaporation) + " "
title += "Intensification: " + str(intensification) + " "
title += "Max time: " + str(max_time)
title += "Best distance per iterations ({})\n".format(name)
title += "Nb cities: " + str(len(cities)) + " / "
title += "Ants: " + str(n_ants) + " / "
title += "Alpha: " + str(alpha) + " / "
title += "Beta: " + str(beta) + " / "
title += "Evaporation: " + str(evaporation) + " / "
title += "Intensification: " + str(intensification)
plt.title(title)
plt.xlabel('Iteration')
plt.ylabel('Distance')
@ -70,12 +69,16 @@ colors = [item[1] for item in best_distances]
bars = plt.bar(range(len(values)), values, color=colors)
for i, bar in enumerate(bars):
yval = bar.get_height()
plt.text(bar.get_x() + bar.get_width()/2, yval + 0.05,
"dist: {}\ntime: {}s".format(int(yval), times[i]),
rotation=75, ha='center', va='bottom')
for i, dist in enumerate(best_distances):
plt.scatter(times[i], dist[0], color=dist[1])
plt.text(times[i], dist[0], "dist: {}\ntime: {}s".format(int(dist[0]), times[i]), rotation=75, va='bottom')
plt.xticks(range(len(values)), [str(i+1) for i in range(len(values))])
plt.title(title)
plt.xlabel('Max Time (seconds)')
plt.ylabel('Distance')
plt.axhline(y=optimal, color='r')
max_dist = max([x[0] for x in best_distances]) # Extractions des valeurs
plt.ylim(0, max_dist+max_dist*0.2)
plt.show()

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@ -0,0 +1,43 @@
import numpy as np
from matplotlib import pyplot as plt
from libs.aco import AntColony, total_distance
name = "att48"
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]]
optimal = 33523
n_ants = 10
alpha = [1, 2]
beta = [1, 2]
evaporation = 0.5
intensification = 2
max_times = [0.5, 1, 1, 1, 1, 2]
iterations = 1
bar_width = 0.15
opacity = 0.8
x = np.arange(len(max_times))
fig, ax = plt.subplots()
for i in range(len(alpha)):
for j in range(len(beta)):
best_distances = []
for max_time in max_times:
for iteration in range(iterations):
ant_colony = AntColony(cities, n_ants, alpha[i], beta[j], evaporation, intensification, max_time)
print("Running iteration number {}/{} ({} sec)".format(iteration + 1, iterations, max_time))
best_route = ant_colony.run()
best_distances.append(total_distance(best_route))
ax.bar(x + (i * len(beta) + j) * bar_width, best_distances, bar_width, alpha=opacity, label='alpha={} beta={}'.format(alpha[i], beta[j]))
ax.set_xlabel('Max Time')
ax.set_ylabel('Best Distance')
ax.set_title('Best distances per max time for each alpha and beta')
ax.set_xticks(x + bar_width / 2)
ax.set_xticklabels(max_times)
ax.legend()
plt.axhline(y=optimal, color='r')
plt.show()

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@ -0,0 +1 @@
[[111, 952], [74, 934], [161, 942], [113, 892], [37, 858], [182, 835], [214, 910], [161, 887], [91, 807], [30, 797], [858, 941], [909, 939], [944, 895], [950, 836], [950, 778], [939, 734], [889, 734], [861, 783], [845, 854], [885, 875], [940, 227], [872, 210], [832, 120], [879, 65], [934, 75], [952, 151], [917, 195], [885, 144], [895, 102], [922, 137], [108, 214], [59, 185], [94, 117], [154, 116]]

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@ -0,0 +1 @@
[[904, 878], [767, 923], [878, 779], [815, 853], [778, 744], [694, 794], [874, 129], [783, 161], [809, 53], [870, 52], [818, 101], [749, 69], [165, 115], [106, 172], [91, 80], [208, 35], [191, 155], [126, 105], [104, 709], [176, 831], [95, 906], [203, 753], [254, 825], [125, 829], [841, 794], [244, 817], [143, 96], [860, 50], [752, 844], [210, 808], [117, 48], [862, 124], [183, 59], [143, 177], [876, 219], [928, 97], [726, 822], [791, 894], [110, 861], [120, 767]]

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@ -1 +0,0 @@
[['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']]

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@ -1,3 +0,0 @@
[['22', '22'], ['36', '26'], ['21', '45'], ['45', '35'], ['55', '20'], ['33', '34'], ['50', '50'], ['55', '45'], ['26', '59'], ['40', '66'], ['55', '65'], ['35', '51'], ['62', '35'], ['62', '57'], ['62', '24'], ['21', '36'], ['33', '44'], ['9', '56'], ['62', '48'], ['66', '14'],
['44', '13'], ['26', '13'], ['11', '28'], ['7', '43'], ['17', '64'], ['41', '46'], ['55', '34'], ['35', '16'], ['52', '26'], ['43', '26'], ['31', '76'], ['22', '53'], ['26', '29'], ['50', '40'], ['55', '50'], ['54', '10'], ['60', '15'], ['47', '66'], ['30', '60'], ['30', '50'], ['12', '17'], ['15', '14'], ['16', '19'], ['21', '48'], ['50', '30'], ['51', '42'], ['50', '15'], ['48', '21'], ['12', '38'], ['15', '56'], ['29', '39'], ['54', '38'], ['55', '57'], ['67', '41'], ['10', '70'], ['6', '25'], ['65', '27'], ['40', '60'], ['70', '64'], ['64', '4'], ['36', '6'], ['30', '20'], ['20', '30'], ['15', '5'], ['50', '70'], ['57', '72'], ['45', '42'], ['38', '33'], ['50', '4'], ['66', '8'], ['59',
'5'], ['35', '60'], ['27', '24'], ['40', '20'], ['40', '37'], ['40', '40']]

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@ -0,0 +1,55 @@
NAME : att48.opt.tour
COMMENT : Optimum solution for att48
TYPE : TOUR
DIMENSION : 48
TOUR_SECTION
1
8
38
31
44
18
7
28
6
37
19
27
17
43
30
36
46
33
20
47
21
32
39
48
5
42
24
10
45
35
4
26
2
29
34
41
16
22
3
23
14
25
13
11
12
15
40
9
-1
EOF

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@ -0,0 +1,55 @@
NAME : att48
COMMENT : 48 capitals of the US (Padberg/Rinaldi)
TYPE : TSP
DIMENSION : 48
EDGE_WEIGHT_TYPE : ATT
NODE_COORD_SECTION
1 6734 1453
2 2233 10
3 5530 1424
4 401 841
5 3082 1644
6 7608 4458
7 7573 3716
8 7265 1268
9 6898 1885
10 1112 2049
11 5468 2606
12 5989 2873
13 4706 2674
14 4612 2035
15 6347 2683
16 6107 669
17 7611 5184
18 7462 3590
19 7732 4723
20 5900 3561
21 4483 3369
22 6101 1110
23 5199 2182
24 1633 2809
25 4307 2322
26 675 1006
27 7555 4819
28 7541 3981
29 3177 756
30 7352 4506
31 7545 2801
32 3245 3305
33 6426 3173
34 4608 1198
35 23 2216
36 7248 3779
37 7762 4595
38 7392 2244
39 3484 2829
40 6271 2135
41 4985 140
42 1916 1569
43 7280 4899
44 7509 3239
45 10 2676
46 6807 2993
47 5185 3258
48 3023 1942
EOF

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@ -0,0 +1 @@
[[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]]

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@ -0,0 +1,3 @@
[[565, 575], [25, 185], [345, 750], [945, 685], [845, 655], [880, 660], [25, 230], [525, 1000], [580, 1175], [650, 1130], [1605, 620], [1220, 580], [1465, 200], [1530, 5], [845, 680], [725, 370], [145, 665], [415, 635], [510, 875], [560, 365], [300, 465], [520, 585], [480, 415],
[835, 625], [975, 580], [1215, 245], [1320, 315], [1250, 400], [660, 180], [410, 250], [420, 555], [575, 665], [1150, 1160], [700, 580], [685, 595], [685, 610], [770, 610], [795, 645], [720, 635], [760, 650], [475, 960], [95, 260], [875, 920], [700, 500], [555, 815], [830, 485],
[1170, 65], [830, 610], [605, 625], [595, 360], [1340, 725], [1740, 245]]

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@ -0,0 +1,3 @@
[[22, 22], [36, 26], [21, 45], [45, 35], [55, 20], [33, 34], [50, 50], [55, 45], [26, 59], [40, 66], [55, 65], [35, 51], [62, 35], [62, 57], [62, 24], [21, 36], [33, 44], [9, 56], [62, 48], [66, 14],
[44, 13], [26, 13], [11, 28], [7, 43], [17, 64], [41, 46], [55, 34], [35, 16], [52, 26], [43, 26], [31, 76], [22, 53], [26, 29], [50, 40], [55, 50], [54, 10], [60, 15], [47, 66], [30, 60], [30, 50], [12, 17], [15, 14], [16, 19], [21, 48], [50, 30], [51, 42], [50, 15], [48, 21], [12, 38], [15, 56], [29, 39], [54, 38], [55, 57], [67, 41], [10, 70], [6, 25], [65, 27], [40, 60], [70, 64], [64, 4], [36, 6], [30, 20], [20, 30], [15, 5], [50, 70], [57, 72], [45, 42], [38, 33], [50, 4], [66, 8], [59,
5], [35, 60], [27, 24], [40, 20], [40, 37], [40, 40]]

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@ -20,7 +20,7 @@ class AntColony:
def choose_next_city(self, ant):
unvisited_cities = [i for i in range(self.n) if i not in ant]
probabilities = [self.pheromones[ant[-1]][i] ** self.alpha * ((1 / self.distance(self.cities[ant[-1]], self.cities[i])) ** self.beta) for i in unvisited_cities]
probabilities = [self.pheromones[ant[-1]][i] ** self.alpha * ((1 / distance(self.cities[ant[-1]], self.cities[i])) ** self.beta) for i in unvisited_cities]
total = sum(probabilities)
if total == 0:
probabilities = [1 / len(unvisited_cities) for _ in unvisited_cities]
@ -29,7 +29,7 @@ class AntColony:
return np.random.choice(unvisited_cities, p=probabilities)
def update_pheromones(self, ant):
pheromones_delta = self.intensification / self.total_distance([self.cities[i] for i in ant])
pheromones_delta = self.intensification / total_distance([self.cities[i] for i in ant])
for i in range(len(ant) - 1):
self.pheromones[ant[i]][ant[i+1]] += pheromones_delta
@ -42,7 +42,7 @@ class AntColony:
for ant in ants:
for _ in range(self.n - 1):
ant.append(self.choose_next_city(ant))
ant_distance = self.total_distance([self.cities[i] for i in ant])
ant_distance = total_distance([self.cities[i] for i in ant])
if ant_distance < best_distance:
best_distance = ant_distance
best_ant = ant.copy()