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741 lines
835 KiB

{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "cf0560cd",
"metadata": {},
"outputs": [],
"source": [
"distances_5villes = [[0, 376, 377, 167, 475],[376, 0, 244, 556, 646],[377, 244, 0, 538, 404],[167, 556, 538, 0, 314],[475, 646, 404, 314, 0]]\n",
"noms_5villes = {0: 'Clermont', 1: 'Bordeaux', 2: 'Toulouse', 3: 'Lyon', 4: 'Marseille'}\n",
"coordonnees_5villes = {0: (50, 47), 1: (24, 40), 2: (37, 28), 3: (62, 46), 4: (65, 23)}\n",
"\n",
"distances_20villes=[[0,182,830,593,918,822,841,974,393,719,705,884,520,863,738,895,627,781,1138,285],[182,0,648,397,619,675,659,792,216,842,555,840,338,819,546,713,445,599,907,250],[830,648,0,826,793,1051,536,719,610,866,1219,1379,310,1358,566,730,245,503,1495,855],[593,397,826,0,327,266,587,637,259,163,475,650,531,630,419,555,584,507,627,403],[918,619,793,327,0,279,510,466,402,197,523,597,586,876,300,276,562,425,304,679],[822,675,1051,266,279,0,774,771,478,109,280,318,741,297,585,555,747,698,506,558],[841,659,536,587,510,774,0,284,520,667,974,1092,398,1071,201,318,329,84,650,844],[974,792,719,637,466,771,284,0,602,664,1005,1089,584,1068,215,192,506,216,498,926],[393,216,610,259,402,478,520,602,0,366,609,797,300,776,369,514,372,444,690,324],[719,842,866,163,197,109,667,664,366,0,326,425,598,404,462,473,640,591,434,506],[705,555,1219,475,523,280,974,1005,609,326,0,206,909,185,772,799,958,898,769,407],[884,840,1379,650,597,318,1092,1089,797,425,206,0,1069,21,915,873,1065,1015,824,586],[520,338,310,531,586,741,398,584,300,598,909,1069,0,1048,379,549,106,357,795,540],[863,819,1358,630,876,297,1071,1068,776,404,185,21,1048,0,894,852,1044,995,803,565],[738,546,566,419,300,585,201,215,369,462,772,915,379,894,0,147,331,117,442,678],[895,713,730,555,276,555,318,192,514,473,799,873,549,852,147,0,498,233,330,824],[627,445,245,584,562,747,329,506,372,640,958,1065,106,1044,331,498,0,290,771,652],[781,599,503,507,425,698,84,216,444,591,898,1015,357,995,117,233,290,0,566,768],[1138,907,1495,627,304,506,650,498,690,434,769,824,795,803,442,330,771,566,0,940],[285,250,855,403,679,558,844,926,324,506,407,586,540,565,678,824,652,768,940,0]]\n",
"noms_20villes={0:'Biarritz',1:'Bordeaux',2:'Brest',3:'Clermont-Fd',4:'Dijon',5:'Grenoble', 6:'Le Havre',7:'Lille',8:'Limoges',9:'Lyon',10:'Marseille',11:'Monaco',12:'Nantes',13:'Nice',14:'Paris',15:'Reims',16:'Rennes',17:'Rouen',18:'Strasbourg',19:'Toulouse'}\n",
"coordonnees_20villes={0:(16,28),1:(24,40),2:(2,78),3:(50,47),4:(64,62),5:(68,40),6:(33,85),7:(53,94),8:(37,49),9:(62,46),10:(65,23),11:(80,27),12:(20,64),13:(78,25),14:(47,77),15:(59,81),16:(21,73),17:(39,84),18:(82,75),19:(37,28)}\n",
"\n",
"distances_48villes=[[0,4727,1205,6363,3657,3130,2414,563,463,5654,1713,1604,2368,2201,1290,1004,3833,2258,3419,2267,2957,720,1700,5279,2578,6076,3465,2654,3625,3115,1574,951,1748,2142,6755,2383,3306,1029,3530,825,2188,4820,3489,1947,6835,1542,2379,3744],[4727,0,3588,2012,1842,6977,6501,5187,5028,2327,4148,4723,3635,3125,4907,3930,7463,6338,7243,5105,4043,4022,3677,2863,3106,1850,7173,6630,1204,6814,6001,3447,5253,2656,3123,6274,7183,5622,3085,4564,2756,1591,7027,6186,3472,5461,4390,2088],[1205,3588,0,5163,2458,3678,3071,1742,1444,4462,1184,1520,1498,1103,1501,951,4298,2903,3967,2169,2209,652,828,4136,1518,4873,3954,3254,2446,3581,2441,2960,1966,950,5564,2916,3878,2035,2482,1027,1395,3617,3891,2686,5661,2023,1867,2560],[6363,2012,5163,0,2799,8064,7727,6878,6581,1402,5366,5946,4679,4378,6225,5709,8417,7578,8296,6135,4802,5707,4982,2322,4178,320,8186,7800,2778,7859,7408,3763,6461,4223,1427,7451,8263,7131,3669,6011,4638,1681,7987,7502,1877,6758,5360,2844],[3657,1842,2458,2799,0,5330,4946,4200,3824,2012,2573,3157,1924,1580,3427,3179,5749,4793,5577,3409,2223,3066,2185,1860,1401,2491,5486,5035,894,5141,4611,1669,3677,1590,3113,4682,5533,4352,1252,3227,2426,1169,5313,4706,3241,3962,2651,304],[3130,6977,3678,8064,5330,0,743,3209,2670,6929,2831,2266,3407,3854,2178,4076,727,881,293,1930,3310,3672,3315,6199,3932,7745,365,482,5774,261,1659,4513,1746,4431,7910,769,207,2225,4435,2681,5053,6384,550,1224,7805,1670,2704,5230],[2414,6501,3071,7727,4946,743,0,2468,1952,6673,2380,1795,3051,3405,1604,3382,1469,168,1020,1681,3110,2993,2827,6009,3552,7412,1104,267,5300,821,916,4348,1270,3890,7698,332,900,1484,4185,2049,4415,6051,1219,482,7635,1054,2432,4884],[563,5187,1742,6878,4200,3209,2468,0,718,6203,2241,2051,2920,2762,1687,1304,3932,2331,3487,2669,3487,1175,2260,5840,3141,6596,3563,2728,4120,3240,1559,4507,2082,2658,7304,2512,3364,985,4091,1319,2544,5358,3632,1987,7391,1785,2879,4296],[463,5028,1444,6581,3824,2670,1952,718,0,5789,1602,1343,2330,2291,970,1451,3376,1796,2959,1951,2835,1112,1725,5346,2628,6285,3007,2193,3889,2661,1122,3920,1372,2391,6883,1927,2845,611,3543,676,2590,4993,3039,1486,6934,1112,2196,3876],[5654,2327,4462,1402,2012,6929,6673,6203,5789,0,4392,4947,3648,3501,5274,5183,7216,6535,7140,5022,3621,5077,4090,922,3207,1131,7014,6714,2437,6707,6477,2476,5432,3599,1102,6376,7121,6284,2497,5160,4318,937,6795,6507,1268,5773,4249,1914],[1713,4148,1184,5366,2573,2831,2380,2241,1602,4392,0,586,766,1029,883,2040,3353,2224,3100,1049,1246,1625,503,3841,1196,5054,3042,2488,2945,2676,2087,2331,1114,1650,5459,2132,3037,1958,1997,931,2513,3701,2923,2137,5459,1394,711,2534],[1604,4723,1520,5946,3157,2266,1795,2051,1343,4947,586,0,1299,1612,406,2208,2824,1639,2542,694,1586,1767,1050,4357,1770,5633,2498,1907,3520,2128,1558,2778,531,2171,6003,1552,2472,1538,2506,791,2912,4277,2403,1564,5983,827,892,3109],[2368,3635,1498,4679,1924,3407,3051,2920,2330,3648,766,1299,0,646,1642,2446,3840,2905,3655,1488,730,2096,697,3076,533,4363,3567,3122,2453,3219,2842,1592,1791,1480,4706,2772,3610,2721,1232,1656,2550,3001,3403,2860,4697,2126,756,1836],[2201,3125,1103,4378,1580,3854,3405,2762,2291,3501,1029,1612,646,0,1853,2026,4349,3247,4119,1997,1341,1753,606,3078,419,4070,4052,3517,1923,3690,3032,1866,2142,838,4593,3161,4060,2788,1380,1663,1932,2736,3915,3138,4647,2395,1351,1592],[1290,4907,1501,6225,3427,2178,1604,1687,970,5274,883,406,1642,1853,0,2029,2803,1438,2466,986,1987,1593,1253,4716,2072,5915,2454,1764,3710,2082,1204,3164,497,2287,6342,1419,2379,1134,2867,554,2885,4569,2405,1289,6338,555,1297,3406],[1004,3930,951,5709,3179,4076,3382,1304,1451,5183,2040,2208,2446,2026,2029,0,4759,3220,4368,2900,3151,442,1765,4960,2444,5443,4396,3610,2932,4034,2572,3891,2525,1590,6278,3313,4261,2033,3398,1476,1241,4287,4390,2928,6419,2428,2749,3337],[3833,7463,4298,8417,5749,727,1469,3932,3376,7216,3353,2824,3840,4349,2803,4759,0,1601,477,2359,3617,4345,3851,6433,4372,8098,370,1206,6267,726,2384,4754,2335,4991,8148,1452,609,2949,4752,3331,5687,6746,437,1948,8005,2334,3098,5618],[2258,6338,2903,7578,4793,881,168,2331,1796,6535,2224,1639,2905,3247,1438,3220,1601,0,1165,1563,2988,2829,2666,5882,3401,7263,1233,399,5138,923,794,4227,1117,3724,7565,286,1049,1348,4051,1881,4248,5903,1322,355,7508,887,2302,4736],[3419,7243,3967,8296,5577,293,1020,3487,2959,7140,3100,2542,3655,4119,2466,4368,477,1165,0,2170,3520,3965,3588,6393,4183,7977,202,767,6041,438,1932,4706,2027,4711,8107,1061,132,2503,4652,2972,5344,6617,486,1501,7989,1962,2939,5469],[2267,5105,2169,6135,3409,1930,1681,2669,1951,5022,1049,694,1488,1997,986,2900,2359,1563,2170,0,1430,2460,1547,4333,2019,5817,2079,1694,3910,1733,1813,2668,654,2694,6029,1366,2130,1991,2525,1474,3542,4455,1923,1641,5957,1071,777,3302],[2957,4043,2209,4802,2223,3310,3110,3487,2835,3621,1246,1586,730,1341,1987,3151,3617,2988,3520,1430,0,2779,1387,2905,1062,4482,3398,3119,2922,3087,3115,1240,1953,2175,4607,2796,3501,3119,1136,2173,3268,3136,3189,3029,4527,2355,711,2042],[720,4022,652,5707,3066,3672,2993,1175,1112,5077,1625,1767,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"noms_48villes={0:'Montgomery (Alabama)',1:'Phoenix (Arizona)',2:'Little Rock (Arkansas)',3:'Sacramento (California)',4:'Denver (Colorado)',5:'Hartford (Connecticut)',6:'Dover (Delaware)',7:'Tallahassee (Florida)',8:'Atlanta (Georgia)',9:'Boise (Idaho)',10:'Springfield (Illinois)',11:'Indianapolis (Indiana)',12:'Des Moines (Iowa)',13:'Topeka (Kansas)',14:'Frankfort (Kentucky)',15:'Baton Rouge (Louisiana)',16:'Augusta (Maine)',17:'Annapolis (Maryland)',18:'Boston (Massachusetts)',19:'Lansing (Michigan)',20:'St Paul (Minnesota)',21:'Jackson (Mississippi)',22:'Jefferson City (Missouri)',23:'Helena (Montana)',24:'Lincoln (Nebraska)',25:'Carson City (Nevada)',26:'Concord (N Hampshire)',27:'Trenton (N Jersey)',28:'Santa Fe (N Mexico)',29:'Albany (N York)',30:'Raleigh (N Carolina)',31:'Bismarck (N Dakota)',32:'Columbus (Ohio)',33:'Oklahoma City (Oklahoma)',34:'Salem (Oregon)',35:'Harrisburg (Pennsylvania)',36:'Providence (Rhode Is)',37:'Columbia (S Carolina)',38:'Pierre (S Dakota)',39:'Nashville (Tennessee)',40:'Austin (Texas)',41:'Salt Lake City (Utah)',42:'Montpelier (Vermont)',43:'Richmond (Virginia)',44:'Olympia (Washington)',45:'Charleston (W Virginia)',46:'Madison (Wisconsin)',47:'Cheyenne (Wyoming)'}\n",
"coordonnees_48villes={0:(6734,1453),1:(2233,10),2:(5530,1424),3:(401,841),4:(3082,1644),5:(7608,4458),6:(7573,3716),7:(7265,1268),8:(6898,1885),9:(1112,2049),10:(5468,2606),11:(5989,2873),12:(4706,2674),13:(4612,2035),14:(6347,2683),15:(6107,669),16:(7611,5184),17:(7462,3590),18:(7732,4723),19:(5900,3561),20:(4483,3369),21:(6101,1110),22:(5199,2182),23:(1633,2809),24:(4307,2322),25:(675,1006),26:(7555,4819),27:(7541,3981),28:(3177,756),29:(7352,4506),30:(7545,2801),31:(3245,3305),32:(6426,3173),33:(4608,1198),34:(23,2216),35:(7248,3779),36:(7762,4595),37:(7392,2244),38:(3484,2829),39:(6271,2135),40:(4985,140),41:(1916,1569),42:(7280,4899),43:(7509,3239),44:(10,2676),45:(6807,2993),46:(5185,3258),47:(3023,1942)}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "989131ce",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def afficher_tournee(T,coordonnees_villes,noms_villes,taille_texte):\n",
" L=[]\n",
" for i in T:\n",
" L.append(coordonnees_villes[i])\n",
" p=plot(line(L))\n",
" for i in T:\n",
" p += plot(text(noms_villes[i],coordonnees_villes[i],\n",
" bounding_box={'boxstyle':'round', 'fc':'w'},\n",
" fontsize=taille_texte))\n",
" p.show(axes=False)\n",
"T=[0,3,1,2,4,0]\n",
"afficher_tournee(T,coordonnees_5villes,noms_5villes,10) #test"
]
},
{
"cell_type": "markdown",
"id": "7f49f69c",
"metadata": {},
"source": [
"# Exercice 1"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8d796b1e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def tournee_gloutonne(M):\n",
" n = len(M)\n",
" T = [0] # Initialiser la tournée avec la première ville (par exemple, la ville 0)\n",
"\n",
" while len(T) < n:\n",
" i = T[-1] # Dernière ville visitée\n",
" distances_disponibles = [(j, M[i][j]) for j in range(n) if j not in T]\n",
" j_min, distance_min = min(distances_disponibles, key=lambda x: x[1])\n",
" T.append(j_min)\n",
"\n",
" T.append(T[0]) # Ajouter la ville de départ à la fin pour clôturer la tournée\n",
" return T\n",
"\n",
"\n",
"T = tournee_gloutonne(distances_5villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "69ae1057",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "713c3b72",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = tournee_gloutonne(distances_20villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "fde50ef5",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "be05ba88",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 50 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = tournee_gloutonne(distances_48villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "a7ff2ca3",
"metadata": {},
"source": [
"# Exercice 2"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "fe153a7b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def eval(T, M):\n",
" distance = 0\n",
" for i in range(len(T) - 1):\n",
" distance += M[T[i]][T[i+1]]\n",
" return distance\n",
"\n",
"def echange(T, i, j):\n",
" T_copy = T[:]\n",
" T_copy[i], T_copy[j] = T_copy[j], T_copy[i]\n",
" return T_copy\n",
"\n",
"def voisinage(T):\n",
" voisins = []\n",
" n = len(T) - 1\n",
" for i in range(1, n):\n",
" for j in range(i + 1, n):\n",
" voisin = echange(T, i, j)\n",
" voisins.append(voisin)\n",
" return voisins\n",
"\n",
"def DescenteGradient(M):\n",
" T0 = tournee_gloutonne(M)\n",
" T = T0.copy()\n",
"\n",
" while True:\n",
" voisins = voisinage(T)\n",
" meilleur_voisin = min(voisins, key=lambda voisin: eval(voisin, M))\n",
"\n",
" if eval(meilleur_voisin, M) < eval(T, M):\n",
" T = meilleur_voisin\n",
" else:\n",
" break\n",
"\n",
" return T\n",
"\n",
"\n",
"# Utilisation de l'algorithme de descente de gradient\n",
"T_descente = DescenteGradient(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "f312e3bb",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b8f01cf4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_descente = DescenteGradient(distances_20villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "0ace5969",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "dd3ea66c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 50 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_descente = DescenteGradient(distances_48villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "e3582386",
"metadata": {},
"source": [
"# Exercice 3"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "34f7316f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def tournee_aleatoire(n):\n",
" tournee = list(range(n))\n",
" shuffle(tournee)\n",
" return tournee\n",
"\n",
"def eval(T, M):\n",
" distance = 0\n",
" for i in range(len(T) - 1):\n",
" distance += M[T[i]][T[i+1]]\n",
" return distance\n",
"\n",
"def selection_naturelle(S, p, M):\n",
" sorted_population = sorted(S, key=lambda T: eval(T, M))\n",
" return sorted_population[:p]\n",
"\n",
"def croisement(T1, T2):\n",
" n = len(T1) - 1\n",
" i = randrange(1, n) # Choisir un point de croisement entre 1 et n-1\n",
" enfant1 = T1[:i] + [v for v in T2 if v not in T1[:i]]\n",
" enfant2 = T2[:i] + [v for v in T1 if v not in T2[:i]]\n",
" return enfant1, enfant2\n",
"\n",
"def mutation(T, prob):\n",
" if randrange(0, 10000) / 10000 < prob:\n",
" i, j = randrange(1, len(T) - 1), randrange(1, len(T) - 1)\n",
" T_mutant = echange(T, i, j)\n",
" return T_mutant\n",
" else:\n",
" return T\n",
"\n",
"def AlgoGenetique(M, nb_generations, nb_croisements, taille_population, prob_mutation):\n",
" n = len(M)\n",
" population = [tournee_aleatoire(n) for _ in range(taille_population)]\n",
"\n",
" for _ in range(nb_generations):\n",
" population = selection_naturelle(population, taille_population // 2, M)\n",
"\n",
" for _ in range(nb_croisements):\n",
" parents = [population[randrange(0, len(population))] for _ in range(2)]\n",
" enfants = croisement(parents[0], parents[1])\n",
" population.extend(enfants)\n",
"\n",
" population = selection_naturelle(population, taille_population, M)\n",
"\n",
" for i in range(taille_population):\n",
" population[i] = mutation(population[i], prob_mutation)\n",
"\n",
" meilleure_tournee = min(population, key=lambda T: eval(T, M))\n",
" return meilleure_tournee\n",
"\n",
"\n",
"# Utilisation de l'algorithme génétique\n",
"T_genetique = AlgoGenetique(distances_5villes, nb_generations=20, nb_croisements=20, taille_population=50, prob_mutation=0.9)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_genetique, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "77becf17",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "cb728b1f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 21 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_genetique = AlgoGenetique(distances_20villes, nb_generations=100, nb_croisements=20, taille_population=50, prob_mutation=0.01)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_genetique, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "e929ba04",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "6a17eb7d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 49 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_genetique = AlgoGenetique(distances_48villes, nb_generations=100, nb_croisements=20, taille_population=50, prob_mutation=0.01)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_genetique, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "b59a2176",
"metadata": {},
"source": [
"# Exercice 4"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "38f92c14",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def descente_recuit_simule(M):\n",
" S = tournee_gloutonne(M) # Initialiser avec une tournée aléatoire\n",
" T = 100 # Température initiale\n",
" i = 0 # Compteur d'itérations\n",
"\n",
" while T > 0.01: # Critère de convergence ajusté\n",
" i += 1\n",
"\n",
" # Choisir deux indices aléatoires pour l'échange\n",
" i, j = randrange(1, n - 1), randrange(1, n - 1)\n",
"\n",
" S_prime = echange(S, i, j) # Générer une nouvelle solution voisine\n",
"\n",
" delta_distance = eval(S_prime, M) - eval(S, M)\n",
"\n",
" if delta_distance < 0 or randrange(0, 10000) / 10000 < exp(-delta_distance / T):\n",
" S = S_prime\n",
"\n",
" T *= 0.99 # Refroidir la température\n",
"\n",
" return S\n",
"\n",
"\n",
"# Utilisation de l'algorithme avec recuit simulé\n",
"T_recuit_simule = descente_recuit_simule(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_recuit_simule, coordonnees_5villes, noms_5villes, 10)\n"
]
},
{
"cell_type": "markdown",
"id": "41de6b16",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "04c4deb3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_descente = DescenteGradient(distances_20villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "d4854a2e",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "26cca6dd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 50 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_descente = DescenteGradient(distances_48villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "777b8712",
"metadata": {},
"source": [
"# Exercice 5"
]
},
{
"cell_type": "code",
"execution_count": 94,
"id": "f0bb419b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"# Fonction pour initialiser la matrice des phéromones\n",
"def init_pheromones(n):\n",
" return np.ones((n, n))\n",
"\n",
"# Fonction pour générer une solution en utilisant la colonie de fourmis\n",
"def colonie_fourmis(M, iterations, alpha, beta, rho, Q):\n",
" n = len(M)\n",
" pheromones = init_pheromones(n)\n",
" meilleure_tournee = None\n",
" meilleure_distance = float('inf')\n",
"\n",
" for _ in range(iterations):\n",
" fournees = []\n",
"\n",
" # Construction de solutions par les fourmis\n",
" for ant in range(n):\n",
" non_visitees = set(range(n))\n",
" tournee = [ant]\n",
" distance_totale = 0\n",
"\n",
" while non_visitees:\n",
" i = tournee[-1]\n",
" probas = np.zeros(n)\n",
"\n",
" for j in non_visitees:\n",
" probas[j] = (pheromones[i][j] ** alpha) * ((1 / (M[i][j] + 1e-10)) ** beta)\n",
"\n",
"\n",
" probas /= sum(probas)\n",
" j = np.random.choice(n, p=probas)\n",
"\n",
" tournee.append(j)\n",
" non_visitees.remove(j)\n",
" distance_totale += M[i][j]\n",
"\n",
" # Ajouter la distance du retour à la ville de départ\n",
" distance_totale += M[tournee[-1]][tournee[0]]\n",
"\n",
" # Mettre à jour la meilleure solution si nécessaire\n",
" if distance_totale < meilleure_distance:\n",
" meilleure_distance = distance_totale\n",
" meilleure_tournee = tournee\n",
"\n",
" fournees.append((tournee, distance_totale))\n",
"\n",
" # Mettre à jour les phéromones\n",
" pheromones *= (1 - rho)\n",
"\n",
" for tournee, distance in fournees:\n",
" for i in range(n - 1):\n",
" pheromones[tournee[i]][tournee[i + 1]] += Q / distance\n",
" pheromones[tournee[-1]][tournee[0]] += Q / distance\n",
"\n",
" return meilleure_tournee\n",
"\n",
"\n",
"# Utilisation de l'algorithme de colonie de fourmis\n",
"T_fourmis = colonie_fourmis(distances_5villes, iterations=100, alpha=1, beta=2, rho=0.5, Q=100)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "fd8d1672",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "94f5a447",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_fourmis = colonie_fourmis(distances_20villes, iterations=100, alpha=1, beta=2, rho=0.5, Q=100)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "eeaadc36",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "1fd90b9c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 50 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_fourmis = colonie_fourmis(distances_48villes, iterations=100, alpha=1, beta=2, rho=0.5, Q=100)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_48villes, noms_48villes, 5)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 10.1",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}