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要求从1开始,最终回到1,且路径有方向,要求所有路径都经过。
, o M' c& p5 |/ v以下是lingo的代码
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' @3 S4 t+ o$ D& _4 tnodes/A,B,C,D,E,F,G,H,I,J,K,L/;
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A,B A,E# H' O. L$ q0 s
B,C B,E B,F
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E,A E,F
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G,C G,F G,H G,K7 c5 b# P$ M4 ?9 u
H,D H,K H,L
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J,F J,G
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data:
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150 1659 }+ |% ?5 k. O% f/ G3 @
130 230 160. f9 B2 W; I. ^# F
140 100$ V' Q8 n9 |+ ?. K
100 190
! d2 _/ E, K9 [5 r3 }0 z# [5 |165 144
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200 122 109 185
+ r) p0 p4 G$ R, [+ y180 141 190
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n = @size(nodes);8 h# Z6 q) e. Y8 J
min = @sum(arcs: c * x);1 x5 N' X$ i" ?4 \
@for(nodes(i):/ q# t% A! p: [4 L
@sum(arcs(i,j):x(i,j))=@sum(arcs(k,i):x(k,i))
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" k6 c; u9 ]. E4 e, I7 X@for(arcs: @bnd(1,x,9));
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它只能算出路径的步数和路程,并不能得到线路。希望能用mma解决这个问题。 --------------------------------------------------------------------- 自己用mma写的程序对于四点还可以,但是扩展到12点实在繁琐: , c2 Z# v6 A' F
P11 = {2, 5}; P12 = {150, 165}; P21 = {5, 6}; P22 = {230, 160}; P51 = {1, 6}; P52 = {165, 144}; P61 = {2, 5}; P62 = {170, 144};(*只考虑1、2、5、6四点,P11为第一点“可去往的点”,P12表述对应的路程*) open[q_] := Module[{i = 1, randomD, randomP, D, randomreal, p1, p2, p5, p6, c, u, Df = 80000, uf, path = {1}, pathf = {1}, pb},(*随机搜索*) For[r = 0, r < q, r++, {p1 = {}; p2 = {}; p5 = {}; p6 = {}; u = 0; D = 0; i = 1; randomP = P11; randomD = P12; While[ Length[p1] != 2 || Length[p2] != 2 || Length[p5] != 2 || Length[p6] != 2 || i != 1, randomreal = RandomInteger[{1, Length[randomP]}]; c = randomP[[randomreal]]; AppendTo[path, c];(*Print[path];*) Which[ i == 1 && Product[If[p1[] != c, 1, 0], {i, 1, Length[p1]}] == 1, {AppendTo[p1, c]}, i == 2 && Product[If[p2[] != c, 1, 0], {i, 1, Length[p2]}] == 1, {AppendTo[p2, c]}, i == 5 && Product[If[p5[] != c, 1, 0], {i, 1, Length[p5]}] == 1, {AppendTo[p5, c]}, i == 6 && Product[If[p6[] != c, 1, 0], {i, 1, Length[p6]}] == 1, {AppendTo[p6, c]}]; i = c; D = D + randomD[[randomreal]]; Which[i == 1, {randomP = P11, randomD = P12}, i == 2, {randomP = P21, randomD = P22}, i == 5, {randomP = P51, randomD = P52}, i == 6, {randomP = P61, randomD = P62}]; u = u + 1; If[u > 11, Break[]]; If[Df > D, {Df = D, uf = u, pathf = path, path = {1}}, path = {1}]; } ]; Print[Df, ",", uf, ",", pathf];
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