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标题: Mathematica 能否完全替代Lingo？ [打印本页]

作者: 入戏太深丶 时间: 2015-4-15 14:24
标题: Mathematica 能否完全替代Lingo？

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。 ( I5 x( [/ [4 |! I" f* N) K( w8 M0 Y
以下是lingo的代码
+ a) I* p9 e4 H+ ]6 o* \' rsets:! c( d. _- ^% w) L( x
nodes/A,B,C,D,E,F,G,H,I,J,K,L/;2 [' Y3 _9 V6 M0 S
arcs(nodes,nodes)/) K: Q& f+ g+ w$ s& H
A,B A,E
5 _4 Q! [4 ]% w3 t/ r/ z4 W; q# S3 }B,C B,E B,F
% J; G1 Y- D5 S$ c7 |! W7 @C,B C,D
1 @7 z7 y) l9 m! B$ J$ W6 V1 ?D,C D,H
* L$ n$ v/ I, }- ~. sE,A E,F. j6 R9 W$ |. `2 `7 H
F,B F,E F,G F,I F,J' d, `, s+ v6 b
G,C G,F G,H G,K' F( n+ J' h# c$ r
H,D H,K H,L
/ ^/ v, v# k1 W5 H* ]5 g! lI,E I,J
6 ]1 [$ |* ?0 x7 p0 X: LJ,F J,G
( ]0 B+ M. i# l# ?- E# E. wK,G K,J
( u7 c1 g- q% I* u" N7 I2 YL,K, V* {- w; t/ B/ R9 U
/: c, x;
9 W9 h6 z. T! m& M. T/ Wendsets' K+ i, r- l- H0 }; q
data:
7 j6 r) K8 y2 z. B+ h; gc=
+ O& s; x0 ^$ I, T) ]8 X150 165
& c4 |8 p, K" m1 m9 H' c! x130 230 160
' ~5 e' {. [8 O/ i140 100
" s! Y8 Z. q( w# M3 G* _100 190
+ q6 ^! Z. W# Q. j" [# q. F5 D165 144" z3 M; I5 r7 w; L, S
170 144 128 218 174& W2 N: |# x& j
200 122 109 185
. @- Q6 ?# m+ u- S. U) z5 u/ d/ |: y% g180 141 190" t- F8 B% ]$ L5 _# n
194 148$ {" k$ f+ }* d$ S% T7 V
174 233
4 d, K4 Q/ `  u& }- W* b185 1352 N3 X* J- l+ c/ F3 f! F
110;: P6 S2 n/ c/ \3 E6 A) ]8 Y
enddata
7 n! V5 _! p7 p9 P. Vn = @size(nodes);
+ L, u* q9 O- L3 Tmin = @sum(arcs: c * x);
& Z% o0 e/ m8 A+ m4 R) d@for(nodes(i):
3 B  o" ^6 b0 r: R& l- q' G@sum(arcs(i,j):x(i,j))=@sum(arcs(k,i):x(k,i))9 }( ~5 [! N% U" M' ?/ G, V3 }
);
* a$ c7 ]7 B  R& h0 k@for(arcs: @bnd(1,x,9)); * w8 _  ~, `; f4 Y& Q; z7 m
: N: P) F- m+ \2 e2 ?+ D
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。

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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：

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];

# B% z+ \# w3 g/ N5 J
open[1000]
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