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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!!!0 X8 j, j& j* w( c5 N. J2 O
distTSP.txt) n# q. t: l; I2 w; r
0 6 18 4 8
' G& R8 y) M$ o) b/ N& e W0 g7 0 17 3 7" z2 Q ]6 n! e: t
4 4 0 4 5
0 n) u+ G; y3 S. p4 @+ L% m) S* U20 19 24 0 22" T" i* w- H, ~- G2 Y3 ~
8 8 16 6 0
$ B3 p! A5 u; k' w%GATSP.m! ?/ y/ v( j, s" R* h
function gatsp1()& r* _; i( t( v7 V9 d) y2 O& o
clear;( w6 O7 ?* }7 U5 ?; o4 f
load distTSP.txt;+ ?$ a5 e3 z' ^ U4 T
distance=distTSP;
6 c: P: P; W8 l* w+ ?) M) J" rN=5;
q. n$ z3 {7 e' L; Kngen=100;
/ f5 B B# L* cngpool=10;- x/ X k9 E+ c- ]
%ngen=input('# of generations to evolve = ');! E& u1 a L9 m0 J# n: ]
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
, W7 I* ?, N1 d n) s, Ggpool=zeros(ngpool,N+1); % gene pool( F4 s7 m: x) u P t
for i=1:ngpool, % intialize gene pool8 \( h4 _, S* s1 D! B* D
gpool(i, =[1 randomize([2:N]')' 1];$ v: T! r+ N+ X. j' Y" F1 ?
for j=1:i-1 z$ U' C% M4 ^8 B0 d& H
while gpool(i, ==gpool(j, 0 O. r' R' Y6 D& t8 i. i# X; F
gpool(i, =[1 randomize([2:N]')' 1];- l8 s9 \/ ~* q8 n/ k9 z
end$ z# V) n! R8 G: T5 P
end
3 i: s. `) ~3 l" ~. }1 d) B end% e n1 F* `9 V! I5 _! d
costmin=100000;
* ?( D7 D1 D4 A1 k: h4 N1 L tourmin=zeros(1,N);/ v- S. r2 O: Z/ f0 [
cost=zeros(1,ngpool);1 W& v {2 y4 Z( F B( K) q
increase=1;resultincrease=1;; j4 p2 M! S2 H+ Y4 E
for i=1:ngpool,
+ y7 _- M2 u, C( k cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));5 W3 [/ Z9 H0 H( `
end
8 l9 l+ q' x+ Q4 d+ a. p# z& ?) E% record current best solution" N% O5 g9 M! a: U8 a1 E
[costmin,idx]=min(cost);
# [- i( H7 a; mtourmin=gpool(idx, ;
+ t1 n: o! a5 z. O$ n+ t2 K" Ndisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
; @8 I6 d/ T# w$ b9 _! p# J. Wcostminold2=200000;costminold1=150000;resultcost=100000;2 j' o% y& s! c" c& t8 s e8 g
tourminold2=zeros(1,N);
8 T: k% k2 T8 z* H8 C/ \7 D. ptourminold1=zeros(1,N);
; g6 y$ y! U% C( ]' sresulttour=zeros(1,N);
' {! B( w/ V6 d% Ewhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
7 |6 `1 _ U& C" Lcostminold2=costminold1; tourminold2=tourminold1;
! b; ]' `8 Q, P p: n4 G# W" Ecostminold1=costmin;tourminold1=tourmin;8 g0 w# U* d( l, M% N
increase=increase+1;5 l2 s# q& c# Q A) ^$ v, k
if resultcost>costmin
: h( E# g1 W5 F" w p resultcost=costmin;
9 p) C. B" M* h+ v7 j# U: V resulttour=tourmin;
7 ]) J. S) r7 O% v. }. _/ _, v resultincrease=increase-1;
$ k8 z# p1 n a+ C+ V' w+ y end5 T7 P7 ]1 K1 |
for i=1:ngpool,
: p! L. F3 J$ O9 q, H9 T cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
3 l2 d+ w+ R5 S7 S+ Q1 F/ o+ \# k5 zend8 p5 Q- T5 M# \% R# W, }
% record current best solution0 Q' I( ^& Q2 N M8 k
[costmin,idx]=min(cost);0 g* R- I, D6 c- B: g0 P0 Z
tourmin=gpool(idx, ;+ w6 J8 ~6 v* c9 i2 R+ n3 x) O
%==============/ e- i. g+ @% a- d. g& I/ C3 S) e/ a
% copy gens in th gpool according to the probility ratio
$ `9 @: R; N9 l/ t7 J2 W( S" p% >1.1 copy twice' }0 A4 ]7 `( n8 I2 B$ ]
% >=0.9 copy once* j6 ?" O% l" k2 Y8 G: j
% ;0.9 remove
1 [, R4 e8 p" }5 v V[csort,ridx]=sort(cost);
; u N+ ~0 `5 e8 W% sort from small to big.& z. |$ `' h7 X! l: h
csum=sum(csort);7 n1 f/ c$ i8 E V( G
caverage=csum/ngpool; Q2 k1 \6 M9 _5 y' _
cprobilities=caverage./csort;
) H( e' o4 f0 C3 M0 L6 {! M- V icopynumbers=0;removenumbers=0;
& n) q* e9 T/ o$ |1 \8 ?for i=1:ngpool,3 f, O1 q, H+ r3 R& n
if cprobilities(i) >1.1: x: B7 Y# ]% L9 ^6 @" M
copynumbers=copynumbers+1;' Q4 e5 f# S( F' v% G
end
, X! a( _/ o2 [2 w if cprobilities(i) <0.9
$ g7 D( T6 i2 P; ^ removenumbers=removenumbers+1;
# r9 S4 N2 R, |) r- N end
7 v& `* ^- K8 _0 Z' k% h end
$ v5 t- D) l4 f8 A+ D copygpool=min(copynumbers,removenumbers);* @9 X& Q# ?4 z% r( E0 F
for i=1:copygpool
" B3 h! u) [3 z% z7 o for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;1 O( u8 ]1 q) _2 \- O# B
end4 a9 o" L$ t% K' q% u, ^
gpool(2*i+1, =gpool(i, ;
& t X+ w$ |' U/ C; S3 V, V1 n end
$ V0 @: Z8 s8 T z Q7 `6 x if copygpool==0
( ]6 m0 c$ W1 C) p, W gpool(ngpool, =gpool(1, ;
+ N: u; |' y6 J& d6 _ end) q$ h' t7 [5 T
%=========
a/ f3 E9 T# Q# h M s) D- `%when genaration is more than 50,or the patterns in a couple are too close,do mutation
1 W9 X) l, T5 [4 N; F: Afor i=1:ngpool/2
+ E+ U+ F2 W& S* Q; A8 G# T( S6 c %
9 E& P+ x5 |/ ~: Q, `1 ^sameidx=[gpool(2*i-1, ==gpool(2*i, ];" i6 K: M0 H( R c9 {+ p
diffidx=find(sameidx==0);/ R* H4 B6 J7 {7 ~1 e
if length(diffidx)<=2
# A% B, i/ n1 a% m+ V gpool(2*i, =[1 randomize([2:12]')' 1];, D6 c5 v* ^8 Q
end
2 I, v* t9 \+ z0 m: p5 S7 P6 { end- I# U- w3 B) A( ?
%===========
$ \1 [; K5 O4 U/ U( K+ g7 M%cross gens in couples
* T k8 Q/ g, u* L% {/ o for i=1:ngpool/2
) `) x4 _0 v( t [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
2 I8 Z I; \ W end
$ l- e; k. Q5 h3 D! i$ M* K2 J( K; @% L for i=1:ngpool,
! Z- v X/ ]) j* {' L cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));1 Q: \9 P$ X. j
end6 h: M2 L( U4 ^2 O/ }4 L
% record current best solution( d3 s9 ^3 }% G
[costmin,idx]=min(cost);
0 d8 S$ D* T9 u* S5 v5 O: N: q+ ]tourmin=gpool(idx, ;
2 V4 P2 C) M H. {( u n" zdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
* C, F* J" J% fend + D( _* h5 w, U; V
disp(['cost function evaluation: ' int2str(increase) ' times!'])8 U, N& A, T6 F, ~
disp(['n:' int2str(resultincrease)])
9 @$ ~1 X, l9 I7 w f" I. Jdisp(['minmum trip length = ' num2str(resultcost)])4 J7 o0 Q4 |& ~2 B6 e
disp('optimum tour = ')
* H3 V9 f5 d% Pdisp(num2str(resulttour))! |$ N' O3 y2 C( A( W; [! ^
%====================================================9 e9 q! ]& I$ N( U2 f- m/ L& Q |
function B=randomize(A,rowcol)
: [: p& \# d- x% Usage: B=randomize(A,rowcol)
& U0 q) c& ?* K% randomize row orders or column orders of A matrix
/ v$ L9 C- l; L" T% rowcol: if =0 or omitted, row order (default)0 T, T5 S+ p( v( _$ |4 t r
% if = 1, column order( w: V: ~) s* F) {+ j
rand('state',sum(100*clock))' I1 ]; m% |9 G( N9 |
if nargin == 1,
$ Z1 V2 y- O% @8 ]" @ rowcol=0;3 ?9 J" I+ X0 x
end
$ H# o m% T9 B3 ? if rowcol==0,
: C. W) T& z3 b! O: a* e [m,n]=size(A);6 \" c+ p$ s$ |7 ?( F! r( |
p=rand(m,1);
4 ^& j4 W$ W2 T' z [p1,I]=sort(p);
9 n A: E; I8 L/ l! p+ R7 j: E B=A(I, ;6 ~& P! _4 |8 A3 A2 e! W
elseif rowcol==1," I1 j4 z/ O% P
Ap=A';
& G! V& k. z4 W( S/ ]% @" h [m,n]=size(Ap);
% L% Q* Y' _* @6 r9 t; ` p=rand(m,1);
6 ]& S1 w% Z, U [p1,I]=sort(p);. D4 h( t* d$ l4 A3 V' e
B=Ap(I, ';
. k) o0 }8 ^: oend
: M# p: u8 b; Y%=====================================================5 U- h( j- D% G& d, @
function y=rshift(x,dir)# s: o- G2 B+ N c: l
% Usage: y=rshift(x,dir)
0 [+ t7 W1 S* q ?" N' R% rotate x vector to right (down) by 1 if dir = 0 (default)
7 e, [0 g& }8 ?9 g" X% or rotate x to left (up) by 1 if dir = 1- @" ?) D* d* r* p
if nargin ;2, dir=0; end
& E+ X' M$ `3 V+ y9 |[m,n]=size(x);0 @$ n: D, y+ y- `& v1 o5 {8 x& k( y
if m>1,
M( _! a* ?: D: Yif n == 1,
: O" g! \- H& O col=1;
- N4 x+ g6 L' ]elseif n>1,* c, U3 d) F9 _4 [# Q4 V& z
error('x must be a vector! break');3 L; x. H g9 ]( O) k% O/ q t+ k* @
end % x is a column vectorelseif m == 1,& S, P( a2 l* Q& T5 N
if n == 1, y=x;
7 Y) e! ?. d* P1 D: W7 A1 G: c9 M. Z2 ureturn' c2 E5 Q) x8 R) ?$ `5 A5 }" m' o5 Q
elseif n>1,! v' e! g$ m0 E4 l- u* U
col=0; % x is a row vector endend( g+ n- A* c) z" _7 ^5 m& l
if dir==1, % rotate left or up6 `7 N( M4 O( H& `+ Q
if col==0, % row vector, rotate left" N9 _$ s; b* \* [9 Z
y = [x(2:n) x(1)];' M( @ M6 l8 i. v
elseif col==1,. `3 N% l* I/ {) s6 @- \
y = [x(2:n); x(1)]; % rotate up: X" P* k6 A9 ]9 a
end
4 [2 r) s5 }' x6 u4 n5 ^( R8 L elseif dir==0, % default rotate right or down* q! i2 j& w" f+ t
if col==0,
6 ^, @" R& \3 I3 H1 F x y = [x(n) x(1:n-1)];* k+ |/ L, F$ R8 J1 i' z
elseif col==1 % column vector
4 R" D# `* L( T0 p+ n1 v y = [x(n); x(1:n-1)];+ T9 m8 c( u" r- [3 K% E
end. l' `2 o% E4 \- A
end
5 T s2 q1 s0 {8 B%==================================================- i+ E( K I+ l( m' ]3 T5 X
function [L1,L2]=crossgens(X1,X2)
: z" v7 [( `0 u7 ^6 T* m n' ? }% Usage:[L1,L2]=crossgens(X1,X2)6 C/ k8 y5 s& w; ?; l: ?
s=randomize([2:12]')';
0 o, B9 Z) t5 C) v8 m& }n1=min(s(1),s(11));n2=max(s(1),s(11));
5 f3 }' u+ ~5 g9 r7 WX3=X1;X4=X2;
$ {; I0 d5 m- W8 qfor i=n1:n2,
7 R w0 o) R- N' n1 t! O9 K0 D1 [$ m* v9 [ for j=1:13,
- M$ W; q4 s, W( G4 N: d if X2(i)==X3(j),0 a! T) Q7 P* A/ _% H" i
X3(j)=0;
% b) [9 N% ]% s6 D end2 m9 |% L$ d$ Z l' D4 t
if X1(i)==X4(j), X4(j)=0;
( y- \9 n+ u3 t" n end( ?: D2 F3 \9 g* e" j& R+ i h5 K# O
end
7 g/ L; r7 G7 s9 A$ T6 m5 F end
* U% g6 V' D) S& w! e' m! \! p* K8 y j=13;k=13;
- K/ M. P& `* } for i=12:-1:2,
1 ]6 \0 l9 G$ D if X3(i)~=0,# W& {8 e3 P! f0 Y) D- K* F: K
j=j-1;
0 t" x( O+ V7 [ t=X3(j);X3(j)=X3(i);X3(i)=t;/ G5 U8 ]+ o2 c1 f% A5 g
end
: M# |+ b4 o& I7 a8 k if X4(i)~=0,0 t4 o4 x$ U8 p1 y3 u+ s2 n4 g
k=k-1;
. m V% H+ X1 x" B t=X4(k);X4(k)=X4(i);X4(i)=t;, t' K; M7 X) o( | z6 z
end
4 n: i8 B2 {% `# W( G end7 l% `' f% T; m* z: z7 H% ?
for i=n1:n2
n: v, ^4 y; a' Y. \2 V X3(2+i-n1)=X2(i);
& @. n5 X# T$ b9 Z/ v w, T% }' R X4(2+i-n1)=X1(i);
( V0 Z4 ]1 x/ l# g( E. t end
6 U# D) t( ~ m8 R h- XL1=X3;L2=X4;
) `; w& e. e3 V" H%======================= |
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