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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!!!
# ~1 j' B$ d9 J, _7 U) LdistTSP.txt% Z4 }5 J) h, f1 t" F
0 6 18 4 8/ ]2 A9 x: ~4 m" ?7 d% k1 X
7 0 17 3 7
! E2 l8 L; e! D, I' x4 4 0 4 5) D) ^2 c9 y" n5 H
20 19 24 0 22
! I; Y1 @+ r( o) g5 P8 8 16 6 07 H' Y4 ^5 D5 _; a: g1 R
%GATSP.m# O3 S3 d E$ z: x1 Y t
function gatsp1()* ?* F) u* ?$ p) C! g
clear;
+ {; t7 p' I2 _/ A f6 Q" B" W, oload distTSP.txt;/ H+ m1 _- W% G8 m: M2 j
distance=distTSP;; N3 R9 @, s6 O5 w. X, b
N=5;" x, ~) Z9 v/ u1 ~3 d/ X
ngen=100;
( I; a9 c' p7 n7 |* zngpool=10;
. n0 e! r# ]) M$ o& J%ngen=input('# of generations to evolve = ');2 e; l% v Z) @6 M2 J0 G
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
$ m+ }9 Z4 v( Kgpool=zeros(ngpool,N+1); % gene pool
/ T9 g; f/ Y' P* @5 |: xfor i=1:ngpool, % intialize gene pool, j5 |4 g- {, k
gpool(i, =[1 randomize([2:N]')' 1];
; {, n; }* ~$ V/ d7 i1 A6 E8 lfor j=1:i-1& Z9 C$ c! @2 U( w1 G. g
while gpool(i, ==gpool(j,
& D! A$ {; @. O% x gpool(i, =[1 randomize([2:N]')' 1];
; j2 w# w! n7 [0 a) ~ end
0 W1 a2 F9 \: x( d! { end! X9 v0 t S% o" X
end Q$ g. e' Z" ~& m
costmin=100000;
. Z% }5 }8 ^6 H6 Y tourmin=zeros(1,N);
; t+ Q3 `: ~$ H4 k cost=zeros(1,ngpool);* O2 P/ q! a5 s* N {
increase=1;resultincrease=1;# Q$ @* o5 e' x+ h+ }; D
for i=1:ngpool,
* f. R8 `4 k# X# j' m$ |9 t cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
8 y$ O" R' ~! {1 a6 v6 ~" W/ l. C/ p end1 g% v. [3 B8 V( T+ s( b8 C
% record current best solution2 c W( B5 H, ^6 s
[costmin,idx]=min(cost);
( m/ T" `5 D8 q! H! k4 Ntourmin=gpool(idx, ;; W ]2 b* T4 s. B% T* h6 z# q5 Y1 v% \
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])8 @4 { f+ |/ S7 O# L
costminold2=200000;costminold1=150000;resultcost=100000;
, n+ |8 M+ A5 a3 e3 E3 v, jtourminold2=zeros(1,N);& z$ {0 s& J9 R5 a- |8 I) B" S
tourminold1=zeros(1,N);
8 D( ~3 L8 n6 Z4 b! Y& \resulttour=zeros(1,N);
0 M4 b# @1 x Y4 u, Cwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
3 i% X. j4 ], h/ p: d" Dcostminold2=costminold1; tourminold2=tourminold1;
2 N) ^) Z- e+ B8 P Q9 {% qcostminold1=costmin;tourminold1=tourmin;0 |- `- X: ?" ^9 y; D
increase=increase+1;
/ D5 w) T5 Q! t mif resultcost>costmin
4 B+ e& r( p) e/ R1 G% _ resultcost=costmin;
* ?6 [* p- W7 B# k- o2 C resulttour=tourmin;
7 `4 Z8 @/ f7 `6 C. [ resultincrease=increase-1;
$ o# m; ^( P( Z: N$ D# b end
9 ^9 y) B) ]) J% ]) E% Q5 vfor i=1:ngpool,
$ r; B5 \+ d9 D# J7 n( b# t9 c3 d cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
. @; b. z) B5 Rend
3 H& h+ h( w: ^. a1 T4 e6 D% record current best solution
4 c5 M" f4 w. \0 m7 A! _+ i+ N1 t[costmin,idx]=min(cost);* P9 R+ @1 d; k
tourmin=gpool(idx, ;
- }9 |+ I) d- h: T/ d9 _%==============* J/ N3 Y4 u* Z% B
% copy gens in th gpool according to the probility ratio5 N6 Q' f6 S/ D: m, s$ g# E3 }. K) |
% >1.1 copy twice! a0 I+ o: ^/ X# h4 U9 `. K, D
% >=0.9 copy once
, V/ v# c" Q" J4 ]* S, v2 G2 @. U# s' p% ;0.9 remove6 w% b2 | t% n0 {) d5 C
[csort,ridx]=sort(cost);7 k1 z6 D/ K- Z) ?0 M
% sort from small to big.
9 q- ]! s' f6 _6 f6 c' d5 ^csum=sum(csort);$ ~( x- F2 d4 L; }+ D
caverage=csum/ngpool;
) M0 ]/ x6 D* w: q9 w7 wcprobilities=caverage./csort;
' h9 G2 T8 D+ U2 Xcopynumbers=0;removenumbers=0;
" Q" I4 P* E# F! qfor i=1:ngpool,; X3 i: s1 c6 U0 f8 @
if cprobilities(i) >1.1& B1 L/ F8 ~8 J
copynumbers=copynumbers+1;' Z- ^* G. Z. w9 M e
end
! l5 X8 }% w( Z5 \* C if cprobilities(i) <0.9
4 H8 i- L r* n' @0 B7 Y removenumbers=removenumbers+1;( y+ s. X4 k: z. L
end$ n( T6 ]% j) {9 `* W v) O/ f& C
end+ d' |4 _% p$ p |; k
copygpool=min(copynumbers,removenumbers);
/ J9 ]" N: J k: l0 D$ O7 Q, E: t- y for i=1:copygpool
+ P, ~) G; _3 [6 T for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;4 ~( F6 G t, g, X0 K! R% b3 N
end
- |5 E+ Z ~0 k; A, l, |: [5 y4 K gpool(2*i+1, =gpool(i, ;
4 d$ U& c+ H0 L0 W: b+ A4 a: ` end c$ v+ H, z' ]( L4 F. j+ i
if copygpool==04 x$ p! N8 o( @0 n9 E4 n3 P
gpool(ngpool, =gpool(1, ;
- D n' b/ ]- ] end% w$ ?% ]- ^" r' }. _
%=========! r" z0 w/ B% u$ M U/ ~
%when genaration is more than 50,or the patterns in a couple are too close,do mutation1 |% {! T0 J* T) j4 _# t/ `
for i=1:ngpool/2
% a+ \6 _. W$ T4 Y- |# y8 d0 A& K2 u %
0 ?6 T' R+ W4 C$ A/ R8 s! z. M: {sameidx=[gpool(2*i-1, ==gpool(2*i, ];5 m. R+ q7 i. r* w
diffidx=find(sameidx==0);! K. `/ Z8 _) L/ r
if length(diffidx)<=2, E& j+ R2 i* |# ?; N* o7 }
gpool(2*i, =[1 randomize([2:12]')' 1];
- Q* G: i# A/ @) V+ C8 V3 `5 z# C end- k n8 f% P$ c4 Q
end* F- `$ @% h' f6 H' g
%===========
5 j) A3 q; U, Q: U, E$ z%cross gens in couples7 l, z U: o I$ y5 _
for i=1:ngpool/2
$ c5 |& K( L# f9 b [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
9 T: i0 @+ I* w' h5 g end* I) n# S# I+ n6 f6 F
for i=1:ngpool,0 m! W1 _3 y: V4 l
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));: { P+ n) t5 [
end
) s! M" |/ M; ^& }! d) d% record current best solution
/ W; Q z$ T) d- m1 ~- h; M[costmin,idx]=min(cost);
! v5 M* |1 V: u; A$ y" m/ f" Xtourmin=gpool(idx, ;8 F. c) m% c7 W! I
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])1 g4 l G) P' i; m- b
end ; p# d$ P4 e1 U! I7 x& t
disp(['cost function evaluation: ' int2str(increase) ' times!'])% |7 d2 B2 S9 P& e( }
disp(['n:' int2str(resultincrease)])
- a# o+ ~$ m5 k4 Ndisp(['minmum trip length = ' num2str(resultcost)]); [0 x$ T2 o& _: D7 i& {7 v- f
disp('optimum tour = ')
) e/ E5 U: Z! O( p3 kdisp(num2str(resulttour))
* T& G+ m( h2 r0 D1 `, w9 U# D%====================================================- m+ B! a0 J3 u2 f; ~- ]
function B=randomize(A,rowcol)+ H: o) I5 \5 [ I& A
% Usage: B=randomize(A,rowcol)3 p K) R3 x% j/ O0 @1 m, w. P: P
% randomize row orders or column orders of A matrix9 l& y% [0 F: E% G" U+ T
% rowcol: if =0 or omitted, row order (default)* q& e/ L6 |9 N z" q* G
% if = 1, column order1 v' _1 L, y& w0 ^
rand('state',sum(100*clock))# ?7 c7 ]: c' e: R5 \
if nargin == 1,
) h; y. m; k3 F n1 ~6 w+ V; T rowcol=0;
6 y1 o& v/ ] ^3 V! V! Bend
o/ c" ?( H( F" h( H: Z# q# I if rowcol==0,
( p4 b! s$ s) }4 U4 F7 l9 [ [m,n]=size(A);
w9 u" ~9 ?; X3 B$ s+ \& y p=rand(m,1);5 M: u) ^. O4 W5 P1 m7 d$ f: r
[p1,I]=sort(p);
+ h( ?7 `5 f$ o5 u2 X" W' @. H- L B=A(I, ;- e; F3 k, ?: x& k6 f0 T$ t. m
elseif rowcol==1,3 E7 Z/ y" e1 k
Ap=A';
. o2 f$ A8 P8 p, Q v# q [m,n]=size(Ap);/ B8 w; Z& y1 J6 J; r9 J
p=rand(m,1);
& X; H& V ^# ~3 {+ T1 e# Y; j [p1,I]=sort(p);* w2 F+ ~+ A# T) t/ ]3 }9 p5 g p
B=Ap(I, ';
" x1 i# R+ k0 x6 h6 _6 d1 qend
, Y' U$ ]1 e! Z' A7 n%=====================================================
% F' i: ^1 P$ W$ \function y=rshift(x,dir)
+ ]( S+ Z7 F+ ]% Usage: y=rshift(x,dir)
$ B% [% c) G) j) w/ c, _% rotate x vector to right (down) by 1 if dir = 0 (default)9 r0 }8 P; k7 m, }; r4 Y
% or rotate x to left (up) by 1 if dir = 1
: L$ v7 z3 @" v, qif nargin ;2, dir=0; end
2 u: n9 i( W1 `( n0 P[m,n]=size(x);. f0 e, @1 @. h7 ?$ K/ p2 L4 T, ]- s
if m>1,
' n& p2 _9 b1 f7 v6 Xif n == 1,/ G+ U0 w2 y9 }; L
col=1;9 i! u i8 S% R! B O( y, I
elseif n>1,
! Z. Z) [, Z& R" [5 y error('x must be a vector! break');
$ Y, S' U8 i9 \9 a3 jend % x is a column vectorelseif m == 1,5 g; K, D, Y. m9 Z+ n+ p
if n == 1, y=x;( s% J) o: F6 J& ?7 V' n
return
1 H) D3 G3 n$ s) I2 I1 oelseif n>1,% Z i, D6 L# w: g+ `
col=0; % x is a row vector endend
7 i3 n9 f D, H% _( _if dir==1, % rotate left or up
" G5 r: y1 ?0 |2 ^4 e; Z if col==0, % row vector, rotate left$ F9 F- p7 y, M" S: B0 E* E
y = [x(2:n) x(1)];
, Z: C5 B3 A5 a" E elseif col==1,5 P% z5 l) {, P' m7 B* x
y = [x(2:n); x(1)]; % rotate up
( r4 X5 U; {( vend
8 n* M6 G0 z5 Q- x% i elseif dir==0, % default rotate right or down4 ?5 A; o, Y4 J6 ^: t5 ]" D2 ~
if col==0,
' w" R2 t6 W+ d4 c y = [x(n) x(1:n-1)];
! F2 k( p+ Q! u" R" _! u elseif col==1 % column vector4 l* I7 i! y [% }7 C7 ~
y = [x(n); x(1:n-1)];+ o& I8 {% I( {5 s0 ^5 O, Y
end1 p7 O: C, p$ N* ^& q# Y
end9 l# T( w# `4 m4 O$ s, V& `
%==================================================
# C2 i7 I# D, M) j# N: Kfunction [L1,L2]=crossgens(X1,X2)
H! E% f. v8 ]* ^$ N# X% Usage:[L1,L2]=crossgens(X1,X2)
# `- [; m5 ?- h8 _2 B5 i4 |$ _s=randomize([2:12]')';
& N9 |- i t* r6 M; ]n1=min(s(1),s(11));n2=max(s(1),s(11));
2 S# Q& [. r, \X3=X1;X4=X2;# m+ U% u* b+ O0 V |
for i=n1:n2,- Y1 F, c& A" d0 _+ k5 o- a- A
for j=1:13,& P. _7 e- D( x6 f( F U2 u
if X2(i)==X3(j),5 B& z# H; _7 X0 Y6 e
X3(j)=0;: h! O8 _7 S2 S) p* O/ E7 Z
end+ g" W1 }- [4 B; l! A+ s
if X1(i)==X4(j), X4(j)=0;
2 {" U' H/ U, L2 i end& v" x# b6 H+ Z
end
+ v2 L8 F- ^, q) x! O6 @. j( z7 Z end/ x \, s& k2 ~* i, Y: x
j=13;k=13;
" ^8 Y) _. _# [1 E5 f: j" U for i=12:-1:2,5 X0 z& J3 H3 B t# H
if X3(i)~=0,
; G0 k1 E' A' h+ X, }1 W j=j-1;
4 D, P7 c7 A+ ~3 w. B t=X3(j);X3(j)=X3(i);X3(i)=t;8 V, r% \7 a5 R. p
end
2 b4 c' }! f9 t! M/ n' ?* E$ R if X4(i)~=0,' s2 ?. I" }2 c0 b1 g
k=k-1;
, L4 Y$ R9 P# U3 v+ r t=X4(k);X4(k)=X4(i);X4(i)=t;' k9 X/ D) ?+ q- C& U
end
. E, N0 c: k1 E4 b% i& v end) S1 t3 V I/ }! L$ h
for i=n1:n2. ^6 A, ?" p# {$ @* ]
X3(2+i-n1)=X2(i);
% e0 t/ K1 W( v( V4 O X4(2+i-n1)=X1(i);% ~- V& n2 d6 ?; }& q- \9 P( p
end
% b5 `7 c0 w3 LL1=X3;L2=X4;; @- F T k) M& p
%======================= |
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