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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!!!! q! v3 f8 `" W) V( M4 v. {
distTSP.txt
0 J8 R! E2 b* x3 B, s8 S0 6 18 4 8
6 F% J( b* |/ r# d& @5 O: i7 0 17 3 7- {* ~" v9 V( g5 `2 R
4 4 0 4 5
; ?2 j+ w& _, p F R3 R9 @2 N20 19 24 0 221 L+ f# N( K$ a% d
8 8 16 6 0
4 Y! e. B$ w* T3 {' G1 `%GATSP.m4 z0 `; f1 j& a
function gatsp1()# d* U* ]. _" d+ p+ w1 l6 Z
clear;" k8 x* Y5 P0 T* ^" w, ~
load distTSP.txt;
7 T" a% v8 o5 Ndistance=distTSP;. b' f2 r5 {" t# G% h; Y* |) ~2 E
N=5;
' K8 e& l A; ^* p5 Angen=100;* G9 D9 C1 n6 ?5 y" a7 R0 u
ngpool=10;
4 x, h0 C, P3 H8 n# I/ ^* q5 `%ngen=input('# of generations to evolve = ');
) u$ l0 X {' v4 G( {6 i%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool) ?$ {4 h; J+ ]/ A0 o0 @- k
gpool=zeros(ngpool,N+1); % gene pool* h0 u" o& ?& J" ]8 {/ Y0 E
for i=1:ngpool, % intialize gene pool6 w; t+ n/ F9 z2 F7 b9 [6 m4 W' n
gpool(i, =[1 randomize([2:N]')' 1];1 \- D% ]' j6 D5 O0 @ v: k
for j=1:i-1- q: n6 I0 @4 R; z
while gpool(i, ==gpool(j, $ i( a8 L. R' P3 b4 x
gpool(i, =[1 randomize([2:N]')' 1];: S# I9 L6 |' {% I
end
. k9 g& O1 t( ~* I end+ W' ~; u7 \# ^; U& p" t& k/ k9 O' E) a
end% X. C$ p3 I3 a* D2 ~8 _2 V
costmin=100000;3 s, c6 O2 u9 [4 M5 e
tourmin=zeros(1,N);
; [3 i* c; j, y2 }2 P cost=zeros(1,ngpool);: w# p. }; v9 a* ?1 r
increase=1;resultincrease=1;
1 v2 U" x$ v2 f/ j( t1 E6 [ for i=1:ngpool,& L5 F2 Q! q- E* w/ ^9 O
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));) e2 ~. T: A0 ]0 j+ S
end
6 q& t% [9 ~/ E6 Z% record current best solution+ c3 L% b& b, H: H) S" G0 \
[costmin,idx]=min(cost);+ O" p. c6 C) E* D7 R! s
tourmin=gpool(idx, ;: F: O- u2 B- y- w- [. M' V
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
$ F( q7 E& {4 R( qcostminold2=200000;costminold1=150000;resultcost=100000;/ Y6 {& N' f$ I5 m" e3 ]
tourminold2=zeros(1,N);& @* |$ H2 p7 I
tourminold1=zeros(1,N);
' {" A* o: j7 c" Qresulttour=zeros(1,N);" r3 h! B4 v+ [
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
+ @" p7 s5 a& e0 p2 ~costminold2=costminold1; tourminold2=tourminold1;
4 h5 N" l/ r N& pcostminold1=costmin;tourminold1=tourmin;
) Y3 C% s9 r$ \increase=increase+1;- |/ X) W: o8 F2 e
if resultcost>costmin7 ]. r3 ?/ H$ D% ]! a1 [
resultcost=costmin;
, Z0 u& c$ s! _/ @* Y resulttour=tourmin;, j5 m0 u3 O- W: |
resultincrease=increase-1;
2 H: ?$ @3 s P# i end
" Z' R& {2 Z' [; h& `6 Dfor i=1:ngpool,
* U, Y0 c5 l6 n) g( b! \ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));3 M2 ^2 f* {6 L8 b0 H
end) Y. i5 e8 ~4 V
% record current best solution. u) p% x) p T" E! m
[costmin,idx]=min(cost);
$ y% [! S# m. l; \! s# |tourmin=gpool(idx, ;0 u% b4 {1 b* Z* j4 ]
%==============
" i$ O8 ?; t% K$ E0 w3 J5 W% copy gens in th gpool according to the probility ratio4 s, O/ v! M7 L+ l7 ?/ S
% >1.1 copy twice
; H0 `; D9 k) b% C* j% X% N; h9 {% >=0.9 copy once
4 j0 \# x9 _( U9 ?' t" ?$ H% ;0.9 remove# m) D# ~1 P) f3 u
[csort,ridx]=sort(cost);
( v5 X4 \6 J; K" h* Z: C% sort from small to big. z1 C ~5 ~2 _- ]: e( v' q) x
csum=sum(csort);" |6 Q: Y7 @% [+ U3 \* D
caverage=csum/ngpool;; ~: i4 Y8 T' }& ~* d
cprobilities=caverage./csort;% N% j* P! v8 A
copynumbers=0;removenumbers=0;5 \ O$ f& }8 _7 T
for i=1:ngpool,
4 U6 f7 o1 p1 Q1 O2 B% K8 N if cprobilities(i) >1.1: B+ O( m: R% r" a
copynumbers=copynumbers+1;3 I% d' t" N' O+ m! H
end" {$ o! y' L1 Z& g9 ?) ~& f9 |
if cprobilities(i) <0.9- ]2 r/ v8 r, M. g# Q) M9 I
removenumbers=removenumbers+1;" s, E5 Q5 k6 O m* V
end
* K1 E4 ?: w: w9 T7 X end' Z, v. [1 \/ n" |
copygpool=min(copynumbers,removenumbers);
, J ?- ^2 v; O! B for i=1:copygpool
( z3 m2 N/ H; N0 i& z3 c3 @% f1 E for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;1 T( d4 s' x; `" m; m5 w
end
5 p) u; j9 z6 u1 P gpool(2*i+1, =gpool(i, ;
0 F# w! G. |9 Z% `$ G6 ~ end+ K# ]+ m _# B* l# |8 m
if copygpool==0
$ d( J8 `- t4 C! }, |0 k6 Y gpool(ngpool, =gpool(1, ;
; ^ V$ g* L: U2 | end
% T# J4 n* {- P+ `+ p# S; ^3 k%=========& D* c" r: g {) Y3 ~0 ?2 v
%when genaration is more than 50,or the patterns in a couple are too close,do mutation
i3 B$ X3 e* s. U4 a& g8 t! mfor i=1:ngpool/2" B! Y* r3 C2 g
%$ b# ]( E( ^2 q+ s3 }; f
sameidx=[gpool(2*i-1, ==gpool(2*i, ];# ]5 P; W+ i6 ?8 X w0 N7 Z
diffidx=find(sameidx==0);* J1 s0 S3 I8 t; R( n, n i3 M
if length(diffidx)<=2
$ a2 U) v/ I! x) K2 d* Q gpool(2*i, =[1 randomize([2:12]')' 1];! i H3 R5 h# Q; v5 |
end- [ w: I3 n2 s, S1 ]+ o
end
1 r4 q/ L8 d, F2 C# _/ d6 X& ~%===========
7 l7 r7 I! e: }# ~* [% V8 O/ J%cross gens in couples R9 k6 q1 g6 w+ o% J+ @$ _
for i=1:ngpool/2
) }; J8 G. k" y2 { [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
. q5 ^5 O/ R$ v* G8 ^ end
+ {1 X7 M4 k: _0 X for i=1:ngpool,
3 w' ^3 N5 O4 B' k: k" o) z% Z* T cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));/ H; R1 ` l9 I/ M& |
end
& g* [7 I- W. w. b, ~3 u% record current best solution% }8 G* N+ O1 K% ^
[costmin,idx]=min(cost);# h! o6 r: A, L5 o* _8 J
tourmin=gpool(idx, ;: E$ ]) i( J& Q+ o( Z/ P! c
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])( s) B+ b) U" B) s
end
! [3 t2 Z% F `' I' Fdisp(['cost function evaluation: ' int2str(increase) ' times!'])) N! o7 i. G" a: r0 f/ S
disp(['n:' int2str(resultincrease)])' C9 v! b2 r4 G9 n
disp(['minmum trip length = ' num2str(resultcost)])+ ]2 j4 }( `7 v& t: Y; r, L
disp('optimum tour = ')# I1 U& ]8 w/ k: f, N# t
disp(num2str(resulttour))
' H; o% \8 ?' T7 P, \9 u%====================================================
1 f$ S6 U( o7 _8 _( {& cfunction B=randomize(A,rowcol)
! \- P3 s9 M5 o/ L) {( @$ H7 K% Usage: B=randomize(A,rowcol)1 I! l- d$ L. m: D3 m0 a- n3 N
% randomize row orders or column orders of A matrix( x2 O1 K7 X! ~
% rowcol: if =0 or omitted, row order (default) p* J& D' ?# w3 Y$ }+ N; j
% if = 1, column order
$ P9 G) b* X V$ A) wrand('state',sum(100*clock))
: A6 A+ {9 p, ^; lif nargin == 1,# U) e z. a! C8 @: B- n+ c
rowcol=0;
+ V+ b1 q/ x X" J# Yend
$ u* D* u! Z( C3 W if rowcol==0,3 J5 A( c6 T* e! K% i8 _( O
[m,n]=size(A);7 E& C! Q% I2 X$ j
p=rand(m,1);3 l6 N! v- f, H z% k
[p1,I]=sort(p);
# @* a; F. j% B/ ]8 f8 M V$ @ B=A(I, ;
0 \( Z/ c# R3 h$ Melseif rowcol==1,
0 h; ?' l4 U% ^) `7 U' e Ap=A';# b! L. h! W1 O8 J U
[m,n]=size(Ap);# @1 K7 T& b: O' w2 l5 H3 P* _
p=rand(m,1);! X4 ~" A/ k; z+ B; ^* V
[p1,I]=sort(p);
+ n9 _" i/ _- W( _2 }" g( m B=Ap(I, ';, V& j* k3 c `. J, P" ~8 D
end/ c9 }, ^ @# i
%=====================================================& _1 _" O! N- E4 A
function y=rshift(x,dir)
- z4 T2 H/ \9 _, p% Usage: y=rshift(x,dir)& D( P( s2 h2 E" c
% rotate x vector to right (down) by 1 if dir = 0 (default)" S( i b5 C# U4 H+ m
% or rotate x to left (up) by 1 if dir = 1% k: X9 ?+ g) d, g5 F) H6 K
if nargin ;2, dir=0; end& i* Q. o9 s1 E
[m,n]=size(x);* I- A5 c; a( W" n
if m>1," U3 t7 M- L2 r6 ]4 U# V1 q
if n == 1,
1 C: x5 }- S0 A& g. S/ _, K col=1;* i' |1 j1 h0 N+ t" j0 i! @+ ?2 f. R
elseif n>1,8 H! K+ G4 b* O2 O# k
error('x must be a vector! break');
' \$ N# _; c" m1 L. @end % x is a column vectorelseif m == 1,
1 [6 k* U. v1 b8 _; {if n == 1, y=x;
0 E: ?( ]5 f1 xreturn
6 n5 \5 Q' N" e ]elseif n>1,! r/ y- J m, g' _" b8 J. A d
col=0; % x is a row vector endend
& I" g/ W: J/ l0 A1 c6 g& tif dir==1, % rotate left or up
0 b$ s) O; _6 H8 V$ o if col==0, % row vector, rotate left$ m: C8 d9 Y" ^! E7 k4 ?5 ]
y = [x(2:n) x(1)];
9 X7 v* ~7 K+ C i1 p6 @ elseif col==1,7 I! `( Q( g4 V
y = [x(2:n); x(1)]; % rotate up
& J( b0 L+ j8 m! f$ Dend) h3 Y- ~) D1 F% e. s6 K8 n# d
elseif dir==0, % default rotate right or down# e3 o% E5 U8 `% y3 Z" ]3 d
if col==0,+ |6 a* h$ i) I5 }8 e
y = [x(n) x(1:n-1)];
* ?2 V! Q z& `; E; _ Z elseif col==1 % column vector
}3 V& T+ d% A. u! R. r y = [x(n); x(1:n-1)];
3 ]7 L- n5 Y0 [, q- `% | end
; e1 R( p! | V. Y5 \ end( r- l" g' Y: A) k
%==================================================4 N& G; v6 ?9 ]3 ^6 x: F
function [L1,L2]=crossgens(X1,X2)2 l* S1 ~" }+ u5 v% T" ^1 w$ x* k
% Usage:[L1,L2]=crossgens(X1,X2); w6 C9 P; v1 u+ f! f, h
s=randomize([2:12]')';
# P0 _& S- X9 G* mn1=min(s(1),s(11));n2=max(s(1),s(11));
' A/ u; f" W2 K& Q! U! DX3=X1;X4=X2;
$ f9 @, O! D! ]0 }for i=n1:n2,
) Q; F) E# w* e+ v: e& @' i( V9 p for j=1:13,7 R, a' k4 W$ h$ P! \
if X2(i)==X3(j),, S7 b4 ^; G7 t* V
X3(j)=0;- G, G+ \1 {6 N9 {; \
end" n: E! u+ a- c2 }4 Y# Q
if X1(i)==X4(j), X4(j)=0;# Y7 L& D) h6 R( t5 s, X
end2 ]* u0 \# c& s
end
/ l9 p4 M- D0 l, I2 ~ end0 n# J3 O! |6 S) j n
j=13;k=13;
- u3 M M, L+ C$ t" L for i=12:-1:2,% N0 W9 r7 ]. k
if X3(i)~=0,% u$ r u/ A8 N* v
j=j-1;
( \: d9 Q0 ~0 Y b t=X3(j);X3(j)=X3(i);X3(i)=t;$ J2 Y' k X* |& k7 @& F
end0 O' a" h3 u& b: }2 M5 n2 s
if X4(i)~=0,5 D- n' N" `* ^/ p
k=k-1;
" L! K2 j. A- A8 I8 e& } t=X4(k);X4(k)=X4(i);X4(i)=t;9 [* m5 ^0 | \
end" J* M1 {1 U! G- K, ~8 w7 _! Y2 S
end
% I+ V! n! U, t/ p7 W9 f/ O for i=n1:n2& ^6 I+ c: f% B, Z3 F
X3(2+i-n1)=X2(i);0 v0 _" v2 j; S; w4 e7 O1 [
X4(2+i-n1)=X1(i);
$ }4 z# |& S5 ]2 g3 H3 x$ Q- z end
. s; o# ?4 F# vL1=X3;L2=X4;
' ~( g& C* h" w x6 t/ G%======================= |
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