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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!!!- I# t5 B0 T# D( b" Z
distTSP.txt. `* Y3 g, o" Y7 i1 }. l
0 6 18 4 84 b# Q+ x3 J- T6 Z2 }! X
7 0 17 3 7) E/ U; \, D& @+ M, c) U- C
4 4 0 4 53 F5 U/ {/ t$ l
20 19 24 0 22- \( c! I* U' Y0 R" C1 t
8 8 16 6 0. V6 E0 T; ~% ~0 i
%GATSP.m- ~% ?4 c* P% e
function gatsp1(); M$ v' T- x* _9 C9 s+ N
clear;$ |( F) m# b0 ]) K7 O. q+ ]6 n
load distTSP.txt;6 w* ^. `+ c" f' y3 t( R
distance=distTSP;1 C# H8 [: h& i( y, X& H
N=5; z6 u) V- h0 n1 ?9 v5 O, o
ngen=100;3 g; p. G9 v- i7 k% K" X9 [
ngpool=10;& ~( m+ Z* x$ n0 X" w: i0 M
%ngen=input('# of generations to evolve = ');
1 V, w9 U$ x* b6 k%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool6 d9 c8 K, A" `* P3 r
gpool=zeros(ngpool,N+1); % gene pool0 \# ~/ S4 k$ I; y
for i=1:ngpool, % intialize gene pool4 g" o# x T" a; ?
gpool(i, =[1 randomize([2:N]')' 1];
) o! F7 G6 M4 w1 ifor j=1:i-18 f0 `6 X- }2 r# F. A; ?
while gpool(i, ==gpool(j, - k- a; ]: V$ @1 H
gpool(i, =[1 randomize([2:N]')' 1];
* U* L/ z! ~" Q+ P end! D& P3 b- H; S" p! a
end* v2 A4 _; k2 [2 \& \( w
end
1 ]7 h# H; r2 B2 ]! h) g7 Hcostmin=100000;
% S2 P |3 A& e5 z, o* } tourmin=zeros(1,N);7 a# g1 M3 I+ Y3 Q# D* W6 |
cost=zeros(1,ngpool);' K% n& C" e( s
increase=1;resultincrease=1;- j8 {6 p6 j. D3 p. h
for i=1:ngpool,7 u, |6 Z. A* H
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
$ r' F# x( |3 F, v) M end5 w% `) S( I) V5 M' Y3 ?+ \
% record current best solution
' @- s& k8 z4 \& [% K- z- a[costmin,idx]=min(cost);9 y) U- q, z6 R2 {2 n% Z
tourmin=gpool(idx, ;
" J0 B! w; [! q0 p/ c pdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])! Y) t9 M: E( x8 F/ v0 e
costminold2=200000;costminold1=150000;resultcost=100000;8 `1 ^, V2 V, ?- A% K
tourminold2=zeros(1,N);
0 q# j9 a! {0 G5 }7 Stourminold1=zeros(1,N); S9 E( L: H- Z# u7 c- P
resulttour=zeros(1,N);
1 ]8 T+ K/ a9 t* Zwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
. D' d5 E7 N! Y; n% t7 o& D% F( ocostminold2=costminold1; tourminold2=tourminold1;7 F; ~/ a5 D6 X4 g0 c
costminold1=costmin;tourminold1=tourmin;* b# o; Z: d1 h, t$ C! ]3 K5 Z
increase=increase+1;; b% X) { m. M* X; \& b S ]
if resultcost>costmin
4 Q3 d6 M9 j$ ~* ?6 k" C6 t resultcost=costmin;
% E+ i# D! x8 y2 ]2 P' } resulttour=tourmin;
" r: _- v. a- P$ R+ M resultincrease=increase-1;
* v! ]0 c6 u4 j) {- V3 b7 s end5 v$ I. I: h3 Y
for i=1:ngpool,4 N# {6 j# c) o6 v: m/ R
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
; {5 l0 P" T8 S3 hend
Q( r% T5 C; g' l; r5 }% record current best solution
* v) F) N& @) D5 @+ j[costmin,idx]=min(cost);8 U; b# ]" L F x
tourmin=gpool(idx, ;
/ u5 b* {: e2 q: [, M%==============
. i1 G" q( K/ a0 N% copy gens in th gpool according to the probility ratio
9 I! c0 F( }2 z$ c! k5 \4 f% T' e% >1.1 copy twice. B) F) x- \! G) J
% >=0.9 copy once
$ c! n1 [* R% V& R* d$ E% ;0.9 remove, n. j5 s5 |! I2 O4 B! F! d2 _
[csort,ridx]=sort(cost);
q: q' p% N& c# q% sort from small to big.
8 O2 |) z$ n7 T7 A( Ecsum=sum(csort);# X+ b: q9 \' R9 I& W
caverage=csum/ngpool;/ x4 \+ i( s8 P+ A2 y. b, w( U
cprobilities=caverage./csort;
7 n J9 Q+ [ ?* B/ Dcopynumbers=0;removenumbers=0;
; |6 i9 |9 T$ \6 m1 a$ n8 }+ V' zfor i=1:ngpool,
1 [( }& b$ D( B if cprobilities(i) >1.14 _) b& H. o. Z8 w7 ]
copynumbers=copynumbers+1;$ j1 F- j- N. d! k) M7 s- o7 W
end
! L( D. @0 z6 K. P if cprobilities(i) <0.9
( i3 w8 g; |( D5 [; } removenumbers=removenumbers+1;
/ x5 M. V8 ]7 N! N: ^1 d& E: e- v7 f end
( B/ E; m9 A, e, T( K end/ r% E( I8 r; _8 |6 }7 @
copygpool=min(copynumbers,removenumbers);/ T! y$ B, Z" j$ x4 A& l' c/ `
for i=1:copygpool
# }2 c' D: r5 \- U5 I2 k" G/ w for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
/ c8 h# R+ ~ Q9 U o! v$ E end
- J8 S5 L9 y, D# i) _ gpool(2*i+1, =gpool(i, ;
# ]2 l. V! e8 B9 p end- m- g0 Z9 F( y B: n+ X! f
if copygpool==0) Y- _4 F: f$ B0 X1 ~, C# j
gpool(ngpool, =gpool(1, ;$ u, d5 _ G' Q3 U# |$ k- O4 O+ U
end
* E9 W$ g" s1 O% M7 W. t%=========
+ g, P1 f7 X9 w8 w* ?%when genaration is more than 50,or the patterns in a couple are too close,do mutation
% @- s0 r% j* b9 Y+ gfor i=1:ngpool/2( w5 p; C( S) |3 r& K0 c$ k7 D
%
! ]8 C6 I, L$ {5 [) s9 k1 k1 ysameidx=[gpool(2*i-1, ==gpool(2*i, ];
! w' c: I: _0 [diffidx=find(sameidx==0);
7 Z. ?% d$ H. G$ b7 d0 e4 ~ if length(diffidx)<=2
$ E1 R: t. V ?$ z gpool(2*i, =[1 randomize([2:12]')' 1];
, }* c9 `8 _+ E( Z end
& t. l* @/ f9 N( C6 D' H% k- w8 D# \ end
) g( c( ^* u8 z. [%===========
% c6 y# }- Y5 X, f: i# F%cross gens in couples- @* A# H1 P p& v
for i=1:ngpool/2- k2 b, b' O4 e$ A O l$ t
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
? E' ~9 ^2 O Q- b1 N' |1 H2 b$ i end
& ]8 ]- ?% B6 ]' K for i=1:ngpool,
& Y$ r$ l. E3 h2 v/ x4 E3 L$ c cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
; q5 r8 G8 k$ D! y end3 R8 [0 N0 L# E7 w% b3 V
% record current best solution* _( Y# V U6 V9 n
[costmin,idx]=min(cost);/ S9 m P' r# f; ]1 U+ `5 \
tourmin=gpool(idx, ;
& c d' z/ X' O1 z9 y* Tdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
7 O8 k+ i. [, T8 G5 f% Bend
( ?5 e: C% x/ R! Q3 E" o4 k6 H6 h( n' fdisp(['cost function evaluation: ' int2str(increase) ' times!'])
3 ]" W1 t8 `; q2 ^% ~" P Ndisp(['n:' int2str(resultincrease)])
/ o& t5 C8 G; v" U# t4 S5 vdisp(['minmum trip length = ' num2str(resultcost)])) x! t* F5 Z8 l# ?; n: q& y$ @9 I
disp('optimum tour = ')
8 ~3 v2 s- h3 `' Z' ~disp(num2str(resulttour))
/ J9 R; S. h. j/ a9 K%====================================================4 z& O' H0 m1 W4 Y
function B=randomize(A,rowcol)
$ F2 F; K: n7 q) u% Usage: B=randomize(A,rowcol)- @$ N' l7 h% X( Z+ m" k
% randomize row orders or column orders of A matrix; I" J# @5 T5 C
% rowcol: if =0 or omitted, row order (default)$ G, K9 G8 w+ }0 S k
% if = 1, column order
( Y& d1 X* v$ m! Trand('state',sum(100*clock))
0 V1 v( ^# s" w8 ~+ K1 mif nargin == 1,
p0 u7 ]3 b9 z! q0 ] rowcol=0;
. M4 ~' Y2 ]) n' }1 zend! d# S' U. B6 I
if rowcol==0,
# H, g' I5 b% p% Q z# X+ L [m,n]=size(A);2 h. [# p6 @' d" Z9 K' ~
p=rand(m,1);, D# Y! E n3 l5 [$ V/ U O7 Z
[p1,I]=sort(p);* B' _+ [' v0 S5 p8 i- P" S
B=A(I, ;9 x3 H: i+ N, f B3 B3 G) {9 n
elseif rowcol==1,$ H) {- j4 ~6 W7 }# I) D
Ap=A';
! N* ?+ T+ T9 X) ]1 K. g1 ^8 Y( s [m,n]=size(Ap);# [' j2 [! R+ F) b' F/ N
p=rand(m,1);
5 K4 y: a9 a3 E, [$ l; N [p1,I]=sort(p);
& ^8 u: m" p3 Q) d1 o5 _ B=Ap(I, ';
2 d9 M! f1 |8 Tend9 Y) Q3 ?, ]$ w& i
%=====================================================+ [# f7 y6 |) y6 `
function y=rshift(x,dir)
: E3 x( ]& L2 J1 e n$ B' d% Usage: y=rshift(x,dir)2 \. h- C, ?$ B$ G1 U( J
% rotate x vector to right (down) by 1 if dir = 0 (default)' M; e4 D7 P: u5 u* p3 Y
% or rotate x to left (up) by 1 if dir = 1
0 C6 V) _# @1 ^if nargin ;2, dir=0; end
s0 n5 I8 T' p/ Q9 G[m,n]=size(x);
\+ W. l" q. u C) t; Y) b4 lif m>1,- W |! f$ p0 j$ D3 F& ~# l- |( ?
if n == 1,! g% ]/ U% C2 _" l3 ?6 F
col=1;4 `0 ?' U/ l" b8 U+ h
elseif n>1,
8 Z1 {" M1 b$ m$ i+ b error('x must be a vector! break');
$ B6 p @" X. _3 Z" }: [& m( P7 Iend % x is a column vectorelseif m == 1,/ ~7 g6 y7 n( j
if n == 1, y=x;
* k4 I; ~, Q) d1 \$ W( i# Q d; ereturn! Z6 W4 i1 [2 s( K- y. j4 o! \
elseif n>1,- ~- h% u. H" R) [& \
col=0; % x is a row vector endend
3 \# }$ u4 x3 L( r6 o/ Yif dir==1, % rotate left or up0 h9 x* g3 E. v& c7 b6 k' Z" t4 D
if col==0, % row vector, rotate left
; y" t8 `6 t8 e$ J# t) H7 ?) \6 h0 @ y = [x(2:n) x(1)];' ?3 t9 \8 V+ d* d( f5 q
elseif col==1,
3 F$ }3 l) q0 U+ Y6 o$ N- G y = [x(2:n); x(1)]; % rotate up
1 Q% r3 ]; N$ {1 Bend
% v- p9 J: L( A) y/ k" y x elseif dir==0, % default rotate right or down$ {5 F2 Y/ l9 I. r
if col==0,% `4 V) E' a( i+ H g0 M+ g
y = [x(n) x(1:n-1)];2 _( Q- E% P* B( s) [5 s# r
elseif col==1 % column vector
: ?# u5 n1 y5 w, S0 \9 x" @ y = [x(n); x(1:n-1)];" m [- S) G' z" J/ q4 ^0 _0 Y9 q
end
" |% u+ _9 H a, _4 L+ M+ `: _ end: a f2 H8 V3 ]8 B
%==================================================! J9 Y& S$ H f0 L
function [L1,L2]=crossgens(X1,X2)6 c& O# U6 t' z8 Y% |1 g
% Usage:[L1,L2]=crossgens(X1,X2)7 w: A; P% q* {0 y2 n5 |) f) _& A0 T
s=randomize([2:12]')';
" L. U4 p3 Y# f# f$ _* jn1=min(s(1),s(11));n2=max(s(1),s(11));, N6 O4 p5 W. A9 y9 A
X3=X1;X4=X2;3 P5 k5 F7 J: p' _. k
for i=n1:n2,9 w- C; ~& k8 K, q8 f
for j=1:13,( K; Z5 R; R& R7 b" N3 I
if X2(i)==X3(j),, U! x, i" Z% U$ W- f1 l" j
X3(j)=0;, j& }3 a2 s1 P9 P& N' c! A8 w- }
end# M8 H6 }; x: u3 T& M5 w$ X3 }; e
if X1(i)==X4(j), X4(j)=0;7 _$ l& s# d, v3 P2 v, O. p4 J
end' m) u" L& z. s% {% c* O
end
' P8 _/ q. M' ?' q9 `3 v* b# i end
3 A j5 ]# Y* H0 E! @ j=13;k=13;) ?0 D( r- F' H: A; J d8 z
for i=12:-1:2,
% `: H8 m T3 J! z# P: H8 C# L- p6 t if X3(i)~=0, B# y! \ |% O# O
j=j-1;
) A, L# w: m, F t=X3(j);X3(j)=X3(i);X3(i)=t;
6 I- }" h. L4 ~5 l* z3 A/ t end
$ j/ b5 Y2 @! A0 h/ N" m if X4(i)~=0,
/ ?8 s( {4 }0 f3 x: S+ d { k=k-1;
& c/ T5 C# l# g: N( Q t=X4(k);X4(k)=X4(i);X4(i)=t;
$ E7 O" q, `9 \* w* f5 d. O( E, N end8 G- ~' S, [( p4 U
end
/ D5 E7 e: \: E) r E6 d for i=n1:n2
, H( S" t) O. c! N1 ^1 B X3(2+i-n1)=X2(i);6 Z7 @& t0 H0 k- U' a
X4(2+i-n1)=X1(i);, D Z, C" ?8 h: C
end
0 g7 s4 w; T* a- k% ~3 p" vL1=X3;L2=X4;
) G t) k4 p" u5 A# e$ L+ F! L! v%======================= |
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