最佳哈密尔顿圈MATLAB程序.docx
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最佳哈密尔顿圈MATLAB程序.docx
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最佳哈密尔顿圈MATLAB程序
最佳哈密尔顿圏
MATLAB程序
M文件
function[circleJong]=modifycircle(cl,L);globala
flag=l;
whileflag>0
flag=0;
form=l:
L-3
forn=m+2:
L-l
if
a(cl(m),cl(n))+a(cl(m+l)9cl(n+l))<...a(cl(m),cl(m+l))+a(cl(n),cl(n+l))flag=l;
cl(m+l:
n)=cl(n:
-l:
m+l);
end
end
end
end
long=a(cl(l),cl(L));
fori=l:
L-l
long=long+a(cl(i),cl(i+1));
end
circle=cl;
命令窗口
全程的:
globala
L=size(a,l);
cl=[l2:
1820:
5319];
[circleJong]=modifycircle(cl5L);
c2=[l192:
1820:
53];%改变初始圈,该算法的最后一个顶点不动[circle2Jong2]=modifycircle(c2^L);
iflong2 long=long2; clrcle=circle2; end circlejong circle= Columns1through19 11644454647 17485049515352 342152226 Columns20through38 62513373839 3610113182927 2873093233 Columns39through53 343512404142 15431424232018 19 long= 5.866999999999999e+002 1 a=[ 0.0011.5011.9010.1020.6028.4022.2028.00 20.8012.9016.306.0027.8036.0023.7022.10 30.2035.70; 11.500.0011.0021.6032.1039.9033.7039.50 32.3024.4021.5011.2028.6036.8028.9033.60 41.7047.20; 11.9011.000.0022.0032.5040.3034.1036.10 28.9021.0012.205.9017.6025.8019.6026.90 35.0043.80; 10.1021.6022.000.0010.5018.3012.1020.40 15.2023.0026.4016.1037.9046.1033.8032.20 38.402&10; 20.6032.1032.5010.500.007.8015.7024.00 25.7033.5036.9026.604&4056.6044.3042.70 42.0031.70; 28.4039.9040.3018307.800.007.9016.2023.40 31.3040.1034.4051.6049.1047.5040.5034.20 23.90; 22.2033.7034.1012.1015.707.900.008.3015.50 23.4032.202&2043.7041.2039.6032.6026.3016.00; 28.0039.5036.1020.4024.0016.20&300.007.20 15.1023.9034.0035.4032.9031.3024.301&007.70; 20.8032.3028.9015.2025.7023.4015.507.20 0.007.9016.7026.802&2036.4024.1017.10 25.2014.90; 12.9024.4021.0023.0033.5031.3023.4015.10 7.900.008.8018.9020.3028.5016.209.201730 22.80; 16.3021.5012.2026.4036.9040.1032.2023.90 16.70&800.0010.3011.5019.707.4014.7022.80 31.60; 6.0011.205.9016.1026.6034.402&2034.00 26.801&9010.300.0021.8030.0017.7025.00 33.1041.70; 27.8028.6017.6037.9048.4051.6043.7035.40 28.2020.3011.5021.800.008.2018.9026.20 23.1033.40; 36.0036.8025.8046.1056.6049.1041.2032.90 36.4028.5019.7030.008.200.0020.3023.00 14.9025.20; 23.702&9019.6033.8044.3047.5039.6031.30 24.1016.207.4017.701&9020.300.007.3015.40 25.70; 22.1033.6026.9032.2042.7040.5032.6024.30 17.109.2014.7025.0026.2023.007.300.008.10 18.40; 30.2041.7035.0038.4042.0034.2026.301&00 25.2017.3022.8033.1023.1014.9015.408.100.0010.30; 35.7047.2043.8028.1031.7023.9016.007.70 14.9022.8031.6041.7033.4025.2025.7018.40 10.300.00 1; globala L=size(a,l); cl=[12: ll13: 1812]; [circleJong]=modifycircle(cl,L); c2=[l122: 1113: 18];%改变初始圈,该算法的最后一个顶点不动 [circle2Jong2]=modifycircle(c2^L); iflong2 long=long2; circle=clrcle2; end circlejong 结果 circle= long= 1.808000000000000e+002 globala L=size(a,l); cl=[l1413324: 1115: 1812]; [circleJong]=modifycircle(cl^L); c2=[l141332124: 1115: 18];%改变初始圈,该算法的最后一个顶点不动[circle2Uong2]=modifycircle(c2^L); iflong2 Iong=long2;clrcle=clrcle2;endcirclejong结果circle= 14 56 7 18 8 9 10 11 15 161714133 long= 1・756000000000000e+002 2 12 a=[ 0.0019.8043.8047.6055.7069.9061.1052.90 38.3031.8039.6043.7053.5060.3051.9041.90 34.0047.20; 19.800.0024.0027.8035.9050.1041.3033.10 18.5012.0019.8023.9033.7040.5032.1022.10 14.2027.40; 43.8024.000.007.2015.3039.9031.1023.505.50 12.0013.4017.5027.3034.1027.6022.5020.80 31.40; 47.6027.807.200.008.1032.7023.9016.309.30 15.8017.2021.3031.1035.7031.4026.3024.60 35.20; 55.7035.9015.30&100.0024.6015.80&2017.40 23.9021.5017.4027.2027.6027.5030.6032.70 39.50; 69.9050.1039.9032.7024.600.008.8017.00 38.2038.1030.3026.2027.4020.6034.1039.40 46.9048.30; 61.1041.3031.1023.9015.808.800.00&2029.40 29.3021.5017.4018.6011.8025.3030.6038.10 39.50; 52.9033.1023.5016.30&2017.008.200.0021.20 21.1013.309.2019.0020.0019.3022.4029.90 31.30; 38.3018.505.509.3017.403&2029.4021.200.00 6.507.9012.0021.8028.6022.1017.0015.30 25.90; 31.8012.0012.0015.8023.9038.1029.3021.10 6.500.007.8011.9021.7028.5022.0016.708.8022.00; 39.6019.8013.4017.2021.5030.3021.5013.30 7.907.800.004.1013.9020.7014.209.1016.6018.00; 43.7023.9017.5021.3017.4026.2017.409.20 12.0011.904.100.009.8016.6010.1013.2020.70 22.10; 53.5033.7027.3031.1027.2027.4018.6019.00 21.8021.7013.909.800.006.806.7016.7024.60 25.60; 60.3040.5034.1035.7027.6020.6011.8020.00 28.6028.5020.7016.606.800.0013.5023.50 31.4032.40; 51.9032.1027.6031.4027.5034.1025.3019.30 22.1022.0014.2010.106.7013.500.0010.00 17.9018.90; 41.9022.1022.5026.3030.6039.4030.6022.40 17.0016.709.1013.2016.7023.5010.000.007.908.90; 34.0014.2020.8024.6032.7046.9038.1029.90 15.308.8016.6020.7024.6031.4017.907.900.00 13.20; 47.2027.4031.4035.2039.5048.3039.5031.30 25.9022.0018.0022.1025.6032.4018.908.90 13.200.00 1; globala L=size(a,l); cl=[13: 182]; [circleJong]=modifycircle(cl5L); c2=[123: 18];%改女初始圈,该算法的最后一个顶点不动 [circle2Jong2]=modifycircle(c2^L); iflong2 long=long2; clrcle=circle2; encl circlejong circle= 811 110934567 121314151618172 long= 2.143000000000000e+002 globala L=size(a,l); cl=[l10911: 1618173: 82]; [circleJong]=modifycircle(cl9L); c2=[l10911: 16181723: 8];%改变初始圈,该算法的最后一个顶点不动 [circle2Jong2]=modifycircle(c2^L); iflong2 long=long2; clrcle=circle2; encl circlejong circle= 13146785 2 117181615 439121110 long= 2.019000000000000e+002 3 a=[ 0.009.2014.0034.9017.5027.2034.5049.70 49.5055.9067.3071.3079.9022.2041.7055.10 62.7077.5065.90; 9.200.004.8025.708・301&0025.3040.504030 46.7058.1062.1070.7013.0032.5045.9053.50 68.3056.70; 14.004.800.0020.9013.1022.8023.3038.50 38.3044.7056.1060.1068.708.2030.5043.90 51.5066.3054.70; 34.9025.7020.900.0024.0033.7027.8020.40 36.2042.6054.0058.0066.6012.7028.4041.80 49.4064.2052.60; 17.508.3013.1024.000.009.7017.0032.2032.00 38.4049.8053.8062.4011.3024.2037.6045.20 60.0048.40; 27.2018.0022.8033.709.700.007.3022.5022.30 28.7040.1044.1052.7021.0014.5027.9035.50 50.30 38.70; 34.5025.3023.3027.8017.007.30 28.20 43.0031.40; 29.0043.8032.20; 49.5040.3038.3036.2032.0022.3015.0015.80 0.0022.0017.8034.2037.9030.107.805.6025.6028.0016.40; 55.9046.7044.7042.603&402&7021.4022.2022.000.0014.6015.4024.0036.5014.2026.80 6.8024.8037.60; 67.305&1056.1054.0049.8040.1032.8033.60 17.8014.600.0016.4020.1047.9025.6012.20 7.8010.2023.00; 71.3062.1060.1058.0053.8044.1036.8037.60 34.2015.4016.400.008.6051.9029.602&608.60 18.5039.40; 79.9070.706&7066.6062.4052.7045.4046.20 37.9024.0020.108.600.0060.5038.2032.30 17.209.9043.10; 22.2013.008.2012.7011.3021.0015.1030.30 30.1036.5047.9051.9060.500.0022.3035.70 43.3058.1046.50; 41.7032.5030.502&4024.2014.507.20&007.80 14.2025.6029.6038.2022.300.0013.4021.00 35.8024.20; 55.1045.9043.9041.8037.6027.9020.6021.40 5.6026.8012.2028.6032.3035.7013.400.00 20.0022.4010.80; 62.7053.5051.5049.4045.2035.5028.2029.00 25.606.807.808.6017.2043.3021.0020.000.00 18.0030.80; 77.506&3066.3064.2060.0050.3043.0043.80 28.0024.8010.2018.509.9058.1035.8022.40 18.000.0033.20; 65.9056.7054.7052.604&4038.7031.4032.20 16.4037.6023.0039.4043.1046.5024.2010.80 30.8033.200.00 ]; globala L=size(a,l); cl=[13: 192]; [circleJong]=modifycircle(cl,L); c2=[123: 19];%改麦初始圈,该算法的最后一个顶点不动 [circle2Jong2]=modifycircle(c2,L); iflong2 long=long2; circle=circle2; end clrclejong circle= Columns1through18 13144815919161117 18131210765 Column19 2 long= 2.261000000000000e+002 globala L=size(a,l); cl=[l1718131210765314481591916112]; [circleJong]=modifycircle(cl5L); c2=[123: 19];%改女初始圈,该算法的最后一个顶点不动 [circle2Jong2]=modifycircle(c2^L); iflong2 long=long2; clrcle=circle2; encl circlejong circle= Columns1through18 13144815919161118 13121710765 Column19 2 long= 2.105000000000000e+002 改良次数 路径 总路程 第一部分 一次改良结果 O-P-26-27-28-Q-29-R-A-33-31-32-30-35-34-B-C-1 180.8 多次改良结果 O-P-26-27-28-30-Q-29-R-A-33-31-32-35-34-B-C-1 175.6 第二部分 一次改良结果 O-25-20-L-19-J-15-I-18-21-K-17-16-22-23-24-N-M 214.3 多次改良结果 O・N・24・23・22・17・16・15亠18・J・19・L・20・K・21・25・M 201.9 第三部分 一次改良结果 O-3-D-4-8-E-9-10-F-12-G-H-14-13-11-7-6-5-2 226.1 多次改良结果 O3-D-4-8-E-9-10-F-12-H-14-13.11-G7-6-52 210.5 circle= Columns1through181314 13121710 Column19 2 long= 2・105000000000000e+002
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