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升级   89.25% TA的每日心情 | 开心 2013-11-20 13:38 |
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签到天数: 20 天 [LV.4]偶尔看看III
 群组: 数学建模培训课堂1 群组: C题讨论群 |
以下是遗传算法解决TSP问题的的代码,可是运行时报错了,请知道的大虾告诉以下报错的原因啊!!!
+ U' m& {3 o( r$ P8 B- _distTSP.txt9 d2 t$ _, y, [6 E
0 6 18 4 8
+ J# u! R* _( T# }9 {# V2 ^7 0 17 3 7: D; Z$ y; j8 c8 L" o
4 4 0 4 5
7 w- ]% f7 ~, d b% z20 19 24 0 22
1 g2 S2 S# s$ T3 J8 8 16 6 0
) W$ C! u8 U+ V s%GATSP.m
/ C7 ?6 w4 n+ d5 Cfunction gatsp1()! @3 ?7 p9 E. P. C) ]
clear;2 f/ r8 u3 y. s I3 \/ T1 V& c2 l) |
load distTSP.txt;
/ v& @& i$ C. \& Ldistance=distTSP;3 l6 n; D9 M; m) |; W9 @
N=5;
% x5 g* @. `! Xngen=100;# @" C/ k* A- _: I9 |+ I
ngpool=10;* a P" D2 U4 q& j2 A r3 Z
%ngen=input('# of generations to evolve = ');
* m: k3 w- ~# h- d9 L. Y%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
7 [" L4 R( f, F1 Wgpool=zeros(ngpool,N+1); % gene pool
2 W0 N7 t! [; j' }for i=1:ngpool, % intialize gene pool' v1 E6 {7 `4 [2 h* ~
gpool(i, =[1 randomize([2:N]')' 1];
& [2 d! R4 S. dfor j=1:i-1
2 i+ `; w# ?9 x# ^8 I' l2 V& R) T/ twhile gpool(i, ==gpool(j, 2 j( w# ^* b c& i# j/ \
gpool(i, =[1 randomize([2:N]')' 1];
: C; d! G, Z& R end: E0 U( T! `! Q5 m9 J* k
end- G9 w t/ @# T0 X
end
- P3 C9 J$ V" d, c. B. m9 Xcostmin=100000;
; u; Q; ~) ~8 K6 @" L. k1 k, J! S$ V tourmin=zeros(1,N);1 c5 B; p9 ^+ J
cost=zeros(1,ngpool);& x/ J, u$ |5 ~3 S! J7 r
increase=1;resultincrease=1;, f1 d; m3 v# W: B7 v
for i=1:ngpool,
2 h2 B( ]9 L g* T cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
& P7 f7 J1 D1 K0 x) H" G end
8 B2 K" C3 ]0 f1 _2 P9 C8 i9 s% k% record current best solution2 Q# ?4 R! h' `8 p% }: Z
[costmin,idx]=min(cost);& I% z$ |" F4 U4 I" u7 I% W' S0 s8 q
tourmin=gpool(idx, ;* X5 e6 ~6 T. L* A
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])- C$ ]( t1 |/ ? a3 W# v, V
costminold2=200000;costminold1=150000;resultcost=100000;
# u8 n0 d& Y4 ntourminold2=zeros(1,N);& D3 H, `0 b+ a7 T, O
tourminold1=zeros(1,N);& d( B- Q, J7 @; ]! k
resulttour=zeros(1,N);
6 M, |8 h7 ~' ?* `9 ~2 `# N( v, Cwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
2 @9 ]8 f$ T& G; G0 G, k s- J: Lcostminold2=costminold1; tourminold2=tourminold1;
. _8 }) m2 T/ i$ i$ F) Ncostminold1=costmin;tourminold1=tourmin;
, D" D/ ^ N9 ^( \) }' ]# T! Y( |8 X# Kincrease=increase+1;$ K7 @$ b) K( V( M. R+ i2 E+ y% {+ }" S) d
if resultcost>costmin
t# H5 E6 |# r& ]% { resultcost=costmin;( k: k5 `2 C& c* S6 }
resulttour=tourmin;
# p) k. z9 u0 |0 u6 I! f, r$ k resultincrease=increase-1;
6 Z3 g& b" b Y; u) d end6 i' p# w& X8 S& @3 D7 z0 M4 V; p
for i=1:ngpool,
7 F& i4 X4 M4 j: e- X4 ~5 P1 } cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
2 f! f, o+ |! q' Y L; O: a( eend+ h/ V9 `4 d2 _2 L x
% record current best solution8 _9 _5 }* l* U5 Q+ \4 T' |" x
[costmin,idx]=min(cost);
2 A/ w( C: _7 M% m! Itourmin=gpool(idx, ;. ~5 w$ p: f) M, j7 B' G
%==============
4 e; _ d# d2 B8 ? A& I4 b6 G" M% copy gens in th gpool according to the probility ratio, S" u* X( ~4 X* `7 n; J; A
% >1.1 copy twice* l8 |, }2 U! m' U9 Q! [& b
% >=0.9 copy once
$ \; W( K+ I3 P4 k, B5 n% ;0.9 remove
% g2 X7 [: ^2 T4 H: b. h. M[csort,ridx]=sort(cost);
- T1 }0 _- [. ~3 K* L$ G% sort from small to big.
' B2 F5 ]5 z' W% |9 r$ \- @csum=sum(csort);. j$ m* q$ i+ {6 W* e: X) s
caverage=csum/ngpool;& H/ r1 a! ?$ ]$ d$ e: _
cprobilities=caverage./csort;; n' t: Z9 C7 U. N4 E
copynumbers=0;removenumbers=0;2 q; l+ v( F7 C3 d" |* B2 S( M
for i=1:ngpool,' e! [+ F0 v$ X1 ^7 W& K) R
if cprobilities(i) >1.1
" `" |+ Y/ W' [; b& a) @" [ copynumbers=copynumbers+1;% M E+ f/ a4 K* V
end6 t: \! O% l8 G9 U
if cprobilities(i) <0.9! o% P* v+ n6 V1 P8 L. K2 K, ~
removenumbers=removenumbers+1;' ~+ B6 w7 u5 t* `
end
# P K. ~- r4 I, K; i end, y7 k7 A0 t N t% }. O5 u
copygpool=min(copynumbers,removenumbers);
, X4 m1 ?! I. U+ Z& k( x for i=1:copygpool5 b. Y0 P2 [+ i5 f @
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;: l3 ?( h0 [" Y# ^, O
end6 A; a/ `# n' [( L6 O( P6 v
gpool(2*i+1, =gpool(i, ;
3 ~! q: ^3 T; R7 {) o) M* H end
" {" t' m6 H/ O% X3 V5 a if copygpool==0
, M! t) y6 d0 a0 h# X: l5 S gpool(ngpool, =gpool(1, ;2 x# _& a1 z2 Z8 A' Q/ x7 g6 O
end& F4 n7 W, X! E, L
%=========6 f- [; N' }! A. x# N
%when genaration is more than 50,or the patterns in a couple are too close,do mutation
8 {; @7 U/ _1 b+ T& \for i=1:ngpool/2- T" V& _0 ~6 N/ N* j
%
: I+ P" K5 S. Z; isameidx=[gpool(2*i-1, ==gpool(2*i, ];1 M+ `- X# c) M
diffidx=find(sameidx==0);
; h" f+ g4 h5 {# Y2 d+ h if length(diffidx)<=2
! S' ~% [# V g9 c8 D7 g/ i gpool(2*i, =[1 randomize([2:12]')' 1];4 @) Y C: {( c
end
8 a0 h) A R* I1 \ end
# c: v9 {+ Y* b+ K( A" B9 i%===========
' _/ m# A) j8 ]. r! v%cross gens in couples3 C7 E# g9 _4 o0 }5 P V+ H0 {% S! p
for i=1:ngpool/2
& o {/ X0 c8 r4 q [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );; o2 F e# n7 L9 \# G7 M3 R
end1 ?3 r" y- S: f; @
for i=1:ngpool,
" [0 d2 X( q' f; z8 @" @+ g cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
2 F4 F# L' f& [3 ?3 d end- v$ n8 C+ G2 K
% record current best solution
6 u7 r* B% X7 _[costmin,idx]=min(cost);
" d/ I b& V8 Y- Xtourmin=gpool(idx, ;" _0 P4 S; ?& A* u& ~
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)]), R/ d* l/ ^% z
end 3 A3 L7 Q* M6 S" F* l$ \, i3 p' H
disp(['cost function evaluation: ' int2str(increase) ' times!'])
0 h4 ]6 f& c) `9 D! Fdisp(['n:' int2str(resultincrease)])
* X$ ^+ Z/ w2 s8 R2 {3 bdisp(['minmum trip length = ' num2str(resultcost)])- F( u+ V& A1 y/ o3 Q
disp('optimum tour = ')
: E0 M6 i0 y$ fdisp(num2str(resulttour))) p+ K' i/ V) ]! G6 w, [5 [
%====================================================' b, f9 L, ~! @' P
function B=randomize(A,rowcol)
" @; R1 L9 q, F' J% Usage: B=randomize(A,rowcol)
6 N/ c# i/ i L% randomize row orders or column orders of A matrix* e, D% F9 r. i& v# L5 Y. T) S
% rowcol: if =0 or omitted, row order (default), q4 ?- B- v! E; u' J9 B
% if = 1, column order
+ S$ Z( P) L# {. q9 K6 w0 |rand('state',sum(100*clock))
- P/ X& E2 S7 L$ \if nargin == 1,9 D) f% X5 J/ c1 }; h5 x- V8 g4 @9 D
rowcol=0;
: ^. N, _; d4 K' n- q$ Aend! G( E( I: ]0 ]: D3 G, s2 b
if rowcol==0,2 T l2 r! r& ]7 E4 x( E
[m,n]=size(A);
8 l6 R, Q, R5 `/ w p=rand(m,1);
6 i5 w% b- |; `- U5 B [p1,I]=sort(p);7 }0 k6 P+ b$ |! I$ S
B=A(I, ;
6 ]( x6 g0 B& s3 l$ selseif rowcol==1,. j9 b, L& C# {- E
Ap=A';1 S' R+ F" O! `( J& Z
[m,n]=size(Ap);
1 B6 X0 Y m1 u# c p=rand(m,1);
P1 R+ P7 v4 J6 C [p1,I]=sort(p);* G( Y; l1 v% r; C
B=Ap(I, ';
5 a8 Z: l$ \4 R* J) D5 J6 @6 Iend. ]; Z5 ^1 r, o
%=====================================================
+ f6 ^7 u' b/ p6 Xfunction y=rshift(x,dir)
2 S) W9 @/ Y. Z/ @& S0 o6 \% Usage: y=rshift(x,dir)9 S5 q2 Y9 L& z [% T
% rotate x vector to right (down) by 1 if dir = 0 (default)
/ d, }6 x! R. a; }8 i; x, S5 W/ W% or rotate x to left (up) by 1 if dir = 12 I e( I- X$ \
if nargin ;2, dir=0; end. a6 y, W( a0 U; b
[m,n]=size(x);8 O! j" F0 S6 T2 H' o t
if m>1,9 I. s, ~* l3 f# T
if n == 1,
1 a' |- A" p& H col=1;! a: N* y8 W8 F+ p8 U
elseif n>1,
5 K4 W! `4 n, }% B( Z error('x must be a vector! break');
& v6 v) N# Z, m4 c) V5 qend % x is a column vectorelseif m == 1,
1 [% y5 V6 S1 s; fif n == 1, y=x;
# t6 i9 |& V5 l# ireturn
/ r( \2 N+ J2 a1 \7 Q6 gelseif n>1,# j2 y, h( t. B+ h& `. ~" l
col=0; % x is a row vector endend. P7 [! V$ {' }* y
if dir==1, % rotate left or up3 V; o* L" h, w* @# D% j" Z
if col==0, % row vector, rotate left9 a4 C( @. ^4 O9 R
y = [x(2:n) x(1)];& E+ C# X' Z2 y3 @- Z- [
elseif col==1,6 Z8 T3 W$ Z2 C
y = [x(2:n); x(1)]; % rotate up2 W4 l, q! J+ J# O6 t' |
end
8 k0 @: h+ C K/ ~9 r; p" ]: H3 Q elseif dir==0, % default rotate right or down
' f" f2 K2 D9 u* w* w if col==0,
/ a8 O2 C8 i5 T2 r9 ` y = [x(n) x(1:n-1)];4 J8 {. P: K- @% [+ Z' J3 f: _
elseif col==1 % column vector: ]; u0 A7 g4 ~) Y# S4 T$ }2 O# C0 A
y = [x(n); x(1:n-1)];, b6 ~/ L! Y7 {' {! B
end
0 a0 i8 F, A2 s end
5 {1 Y) s- j- F%==================================================5 H" J9 c/ F/ i+ i" L( G
function [L1,L2]=crossgens(X1,X2)& l- Z! y) R0 G6 o, u+ C4 p0 g
% Usage:[L1,L2]=crossgens(X1,X2)) H, i, g9 P) v# n8 T
s=randomize([2:12]')';+ S! G2 c6 N- w9 {; h+ Y
n1=min(s(1),s(11));n2=max(s(1),s(11));' G- w5 |5 n5 G9 _; {
X3=X1;X4=X2;% p+ P7 R9 v0 O# y: L, v* f* E. a
for i=n1:n2,
' `0 P' E2 w, A! U: f for j=1:13,$ s- V; |* a. V& J- ~3 ]
if X2(i)==X3(j),
7 d& L- b, @$ ~' t X3(j)=0;
. L& I+ y2 ^8 ` end, W4 _: Q# e4 \& \) H
if X1(i)==X4(j), X4(j)=0;
& Z! V5 O! D& H' Z6 n0 O end
2 H4 d. U0 o9 I* E6 P1 l# X" m end+ ~) y1 e* w8 B. P) G/ |- r. H
end' R; C2 [5 o; T, `
j=13;k=13;
, o+ r# [8 W& d9 ?4 {% M for i=12:-1:2,9 w% x7 _8 _/ n
if X3(i)~=0,
( ]6 U* Q' `8 {: M% ~ j=j-1;
0 i3 i0 R( r( P0 |( c t=X3(j);X3(j)=X3(i);X3(i)=t;# l' l# Q+ y- I
end: g- I: [3 d3 ]5 m4 u
if X4(i)~=0,
8 H9 L/ `: q# w, V k=k-1;0 @6 G, C$ T6 q' @' @
t=X4(k);X4(k)=X4(i);X4(i)=t;
; e' c0 I* L4 X6 F" X end* {* X1 O& x# o8 D9 Z
end
) a. G! [1 M, c. Q5 Z/ r: { for i=n1:n2
% g- m; D. \* D5 c3 ]( C9 z' ? X3(2+i-n1)=X2(i);
8 R: i! x0 C& l& T3 m X4(2+i-n1)=X1(i);0 r. k0 L* o; W* [7 N$ U( y, A
end9 ~0 k* d# k3 B) R1 r$ B
L1=X3;L2=X4;2 u; U. a1 `$ E; \+ T1 I
%======================= |
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