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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!!!
' ?2 e+ i; U# L y: T" i. VdistTSP.txt
; _7 j0 N: k" q+ i" ]7 R0 6 18 4 8; v8 b2 k* {# ^' Z
7 0 17 3 7
+ T/ e$ N9 u5 U% c8 Z4 4 0 4 5
. g# O( e* P! v, n; F. s; f20 19 24 0 22
4 ~$ b' G4 Z4 e: e, T4 @( a) T8 8 16 6 0
; x2 e' e! W/ {& l2 W' L# t%GATSP.m6 j/ N9 J0 Y2 M4 R
function gatsp1()
5 ]8 V, j* B s# \( A/ dclear;
- s$ v5 t* F/ j# r0 h4 cload distTSP.txt;! w4 u$ R2 r9 q" C
distance=distTSP;
$ H# J; \% w( G% M5 R- P, _3 M PN=5;
; s' v, b2 w! Zngen=100;
7 M3 d& U7 f5 c, o, T0 e7 D1 ongpool=10;7 g( s% E, K' P1 k" o j* O; `& M6 U
%ngen=input('# of generations to evolve = ');5 I2 A b( r7 g
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
3 f& L- i3 E' W- j! d1 ugpool=zeros(ngpool,N+1); % gene pool: S* H2 F; w, \" l. ~/ @6 H5 {/ S* W
for i=1:ngpool, % intialize gene pool
7 \6 W" Q$ Z& A5 qgpool(i, =[1 randomize([2:N]')' 1];& j0 n# s' M @( Y
for j=1:i-1
1 F# D/ V( R2 v3 vwhile gpool(i, ==gpool(j, ; q7 ]) R( @3 W/ e5 ]( ^
gpool(i, =[1 randomize([2:N]')' 1];
% s, K- ]( K" l& T' `9 { @ end
7 m! h7 w/ |9 A8 s end8 I1 ~5 {& B8 g6 i; H$ Y( p$ d
end
2 S' m) _$ P9 w6 v' l7 pcostmin=100000;
8 \: `2 E0 v& F7 i2 `& C: x) X tourmin=zeros(1,N);1 W8 L, a- w+ o0 ~
cost=zeros(1,ngpool);; E9 q) z f: G3 ~
increase=1;resultincrease=1;& y) Z7 C, |5 s2 o" d
for i=1:ngpool,7 o; W/ h( H+ t
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));/ U! o& G m: Q) R
end' P0 ]& d; g/ G- I, I
% record current best solution
% Z& n6 |* L1 K' l& F. b. a4 {7 N! Z[costmin,idx]=min(cost);
* J& k* L. n+ a2 {- R4 b5 p6 J# ~tourmin=gpool(idx, ;/ g' Q5 O( ]) W' L' w
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
/ X, ^, _6 f$ q5 bcostminold2=200000;costminold1=150000;resultcost=100000;# k0 k! z% c' C7 E% A* S! U
tourminold2=zeros(1,N);
2 ?. t) e% [' T; \. B# xtourminold1=zeros(1,N);5 _4 H0 H- {* K
resulttour=zeros(1,N);
" i4 |- e3 ^/ nwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
2 Y- P' A% M1 A- @% ycostminold2=costminold1; tourminold2=tourminold1;
8 [! ]+ H, N$ W5 N0 ?9 C* Ocostminold1=costmin;tourminold1=tourmin;
! F. @) C: E8 T+ M" x* {1 nincrease=increase+1;
3 V4 @' {2 s8 ?% eif resultcost>costmin
; Z8 c0 c$ `; R( e0 m# F! Y' Y resultcost=costmin;
- x7 z; ?1 b2 ~3 D resulttour=tourmin;
& c' |6 b4 y! ] resultincrease=increase-1;; A# K3 A3 d1 S/ w, k
end
$ O1 v* J+ t0 Y1 Y" F( D2 ^0 `& kfor i=1:ngpool,
- {* K- |% A/ [: ], q. |4 l cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
' t8 c( E& E9 C! q" ?9 _* [0 ]end
6 i* E+ d4 a- N+ n% record current best solution
+ x6 ~( v; {* r4 |[costmin,idx]=min(cost);
9 |6 O8 N7 e' b+ R2 }% `3 g$ Qtourmin=gpool(idx, ;
( H" D: C- K; S+ u%==============
9 F' O+ r4 Q, Q, i2 x3 N1 _4 P% copy gens in th gpool according to the probility ratio
6 l# ~9 r; i/ P& ]2 e% >1.1 copy twice+ T: W/ W: J3 d/ F5 I
% >=0.9 copy once, Z9 C, N0 ]' J1 l) A! \& |9 w" R
% ;0.9 remove
+ B; L3 y7 Y5 @( p" G) k[csort,ridx]=sort(cost);1 Q4 b9 I# [& U' ?0 K* ?
% sort from small to big.# G5 |, F' `# M) `7 F
csum=sum(csort);! x3 _, ]" q! W ]
caverage=csum/ngpool;4 Y+ n- R' z( `$ P1 g4 _' e
cprobilities=caverage./csort;
: L1 g, N F( l# ccopynumbers=0;removenumbers=0;4 a. I/ V/ D5 D9 |% n. d. K
for i=1:ngpool,
3 t1 V- A) T/ w9 U7 E r+ w: i3 N if cprobilities(i) >1.1' j, \9 N7 |' u
copynumbers=copynumbers+1;% b% r s, C. R4 c. P) f, B' f
end
. ~' R2 s# l# F/ \5 Z if cprobilities(i) <0.91 `! E! p! y% Z+ j! p
removenumbers=removenumbers+1;2 ^! ~4 p0 t) t3 f# a
end0 K n' e' i# W4 u% Z: x
end
* u0 U3 p( b2 M copygpool=min(copynumbers,removenumbers);6 Z- f' f' I+ G& f
for i=1:copygpool
& ]& N- e1 x5 b( B+ w& _0 j for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;+ r- }# E8 R: }
end
, w$ v$ J$ I' n& S, O; l" @ gpool(2*i+1, =gpool(i, ;0 f& P! O1 S* C: ?
end
; H1 q$ S, q- E3 }6 z if copygpool==0
$ @- }' q/ _- m! {' J. }. N gpool(ngpool, =gpool(1, ;0 U5 n1 V$ i/ I; J' o, n7 J
end
3 @# H p: g5 _4 O%=========2 }! L9 ?: F7 S- b% s" u* e2 J/ |
%when genaration is more than 50,or the patterns in a couple are too close,do mutation2 }. J7 `% o& E8 d3 b k
for i=1:ngpool/2
, \" g8 i3 v& y %; x- _' P% \5 O( p$ |# l
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
1 a( M4 g( D4 U4 _, X0 }diffidx=find(sameidx==0);
' c& f$ d9 o; R4 v% I if length(diffidx)<=24 N- d; H: g6 R6 F% C7 r
gpool(2*i, =[1 randomize([2:12]')' 1];
8 v8 ]1 T8 O' i" j( r# v end! A& ~8 ?7 j9 N
end# Y7 N8 N$ S6 W4 }
%===========
; U9 [6 `0 s( c%cross gens in couples
1 T: Y" r* ^( `( }+ v for i=1:ngpool/2
2 B( M7 z4 u c! q6 j1 K [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
6 H, \2 H$ b% h' l3 v8 y end8 L, F/ V3 F1 O: `) j! `
for i=1:ngpool,
S- R2 q: q- p5 h3 B0 H cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
1 z* f; S( @; w6 N3 M6 a$ S end: V6 Q( G; c4 @# Z2 W6 c. Q/ t
% record current best solution' D9 g# w: q) o+ W. t1 h$ G
[costmin,idx]=min(cost);/ D6 P" B) F, ]7 N, [6 T! A: {. m8 X) w
tourmin=gpool(idx, ;) k1 g3 q+ T4 G' G2 ^
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])6 C7 z, g- N& `+ v1 C
end + o+ J8 C7 D, q
disp(['cost function evaluation: ' int2str(increase) ' times!'])3 O6 C$ x Z' ~* Y+ L
disp(['n:' int2str(resultincrease)]), X) a0 j) d3 z `. k( ~
disp(['minmum trip length = ' num2str(resultcost)])- C( v' q. Y6 m. `1 ?3 u7 d
disp('optimum tour = ')2 a0 ~$ N. a$ v( Y
disp(num2str(resulttour))
i8 t% ^. X& K e3 [%====================================================
" A6 K# C4 U- afunction B=randomize(A,rowcol)
6 ^+ [8 q5 Y8 D1 t# T0 L% Usage: B=randomize(A,rowcol) s( _6 O6 ^' N4 p) w2 R F! m
% randomize row orders or column orders of A matrix
+ I4 P. e. T+ V3 I8 g% H! F% rowcol: if =0 or omitted, row order (default)- |& x+ S6 u( J- f+ p( f" T+ F
% if = 1, column order
$ N( _; X6 |" z( T* O2 s. J frand('state',sum(100*clock))
! q/ G# O' j+ u: R; Z V8 s _if nargin == 1,
& }1 ]- W/ C) R+ w* G! q rowcol=0;
5 ~. M3 a& K: t/ M" vend
7 T- K" @. {5 M' V; V9 { if rowcol==0,
# k- a ]' X& C1 z, e1 Q [m,n]=size(A);3 L# n+ u; W: `" k2 b; u
p=rand(m,1);
9 I- T+ o& N0 j5 g l$ K. d* \ [p1,I]=sort(p); p5 P! S! n+ |7 P" W
B=A(I, ;
3 }. @0 C t, e. ]! q4 q3 _; O. kelseif rowcol==1,2 g1 J! L( C) a- }4 w3 q4 Y. M
Ap=A';
, U7 h. }! O. n2 V9 o) J [m,n]=size(Ap);
( \0 z% v0 `6 \( H1 w p=rand(m,1);; o" E4 v0 e$ p
[p1,I]=sort(p);8 ~* @4 T, ]& Z
B=Ap(I, ';
3 k: _2 [# C! m/ i1 a4 z+ Gend$ Q1 H4 ~ t( f$ F& Q
%=====================================================
+ q" z9 N& r. r* T0 i; m ^# k+ Xfunction y=rshift(x,dir)3 @- M$ T; b* ]
% Usage: y=rshift(x,dir)9 }( U- u" h5 x; _
% rotate x vector to right (down) by 1 if dir = 0 (default)
* q! \8 }/ M% y( H) U5 q( X0 U% or rotate x to left (up) by 1 if dir = 1
! v6 v; J; y9 Lif nargin ;2, dir=0; end7 |! R9 `5 W, k1 z8 E
[m,n]=size(x);" L! j/ e$ I3 l4 Y7 s! I
if m>1,
6 |) d* r( |1 ^$ w5 e/ sif n == 1,
4 { ~; _. i6 Q4 X col=1;9 @6 C3 _. T) Y
elseif n>1,
8 A& C% E. J! c9 b, P& {7 B error('x must be a vector! break');- C5 P: `4 ]5 X. k8 [
end % x is a column vectorelseif m == 1,9 n* P5 o2 e4 d0 _( U0 R6 d0 E
if n == 1, y=x;
5 p9 I( c! R% nreturn$ E/ d5 ]% f6 I
elseif n>1,
1 b% ^( ^. T) P7 \ col=0; % x is a row vector endend
! m. T( z/ h8 R8 o3 _. b0 s+ Jif dir==1, % rotate left or up& p$ o' k) X7 ?$ |$ v2 q
if col==0, % row vector, rotate left7 F2 J! l' N% l( R
y = [x(2:n) x(1)];3 t8 m' k" x4 |9 Q/ ?$ k/ Z+ ]4 _
elseif col==1,/ c/ ?/ x% w- M+ o3 ?
y = [x(2:n); x(1)]; % rotate up
% I% f) o8 w/ @end
( u9 g/ Z1 H) Y3 B elseif dir==0, % default rotate right or down" Y& U; @9 u3 m {. J! r& k! n6 i
if col==0,
2 Q5 J: @) e% j7 o0 T; b: ~ y = [x(n) x(1:n-1)];
1 W% C. h$ n5 K* d" t elseif col==1 % column vector1 p! }% y# V- ~) h
y = [x(n); x(1:n-1)];
6 j& x$ H( s% C$ y: O+ | end2 [3 c8 o) C' F9 |& B% P3 g2 V
end2 O5 K# _% t' P. f$ \6 L# b
%==================================================. _: |5 m( g/ B f9 G
function [L1,L2]=crossgens(X1,X2); |- t1 Q- C* Z
% Usage:[L1,L2]=crossgens(X1,X2)
- D, q; }0 P0 s- M! E) V0 ]/ gs=randomize([2:12]')';9 A' T, }% Q: e; T
n1=min(s(1),s(11));n2=max(s(1),s(11));+ {9 v- U7 Q! B0 @0 P9 E
X3=X1;X4=X2;
8 A$ j- `# Y, V1 G4 U/ i8 H& y' @for i=n1:n2,) m2 O2 E# ] t) d
for j=1:13,) x0 O# i! h/ V) e0 G6 E
if X2(i)==X3(j),
; \7 r& s k6 y. S$ {/ I7 ~0 l X3(j)=0;
$ a8 t" J5 A% S) H; j5 M4 j K end. n: f; @6 l. L7 L4 {
if X1(i)==X4(j), X4(j)=0;
0 z1 J" x! K1 `* A! r' z: o end1 D5 o7 K2 A, [, K f
end
. Z+ A' G8 ~' ?8 |, S end
# ]$ R' o7 R& ~! S( i6 u3 k7 m j=13;k=13;
9 S/ A( _& a, M9 m for i=12:-1:2,1 [" H! Z9 O/ }: Q
if X3(i)~=0,
; ?7 P9 S! V2 q j=j-1;9 S" g; Z7 T3 }& n3 V a$ P
t=X3(j);X3(j)=X3(i);X3(i)=t;& u+ A* w2 x- @' Q: X4 S
end
1 [! Y2 a/ {, \ c if X4(i)~=0,
" l; E8 z1 c4 k2 e- U+ O+ W k=k-1;
9 ^7 q* C6 n# _ t=X4(k);X4(k)=X4(i);X4(i)=t;
& p; y$ ~6 G7 @2 l- j- ^- K end$ M2 V" L3 g1 }* ^
end& P2 B% w+ B6 |9 x, f: a, m$ E
for i=n1:n2
( s& }) Z* ^/ z+ T, D: d X3(2+i-n1)=X2(i);
5 t/ }$ a* _( z: b9 u2 e X4(2+i-n1)=X1(i);
3 N: w1 h( V' q& D5 G" ` end8 w# }5 H! k' X* N# @5 A
L1=X3;L2=X4;
+ \8 R2 f& i# I: `4 ^5 b%======================= |
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