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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!!!
* [7 y* @* A# o, bdistTSP.txt
, U7 I: H7 U7 @. d/ C+ \0 6 18 4 8
2 h+ C# i& B; T' S3 k0 r7 0 17 3 74 ~. ^1 X! M$ F/ J/ b7 M
4 4 0 4 5
) x9 q( R0 P; S2 N& c! b9 [! y( A20 19 24 0 22, k. I) y2 d( A- _7 ], l; a( |/ L
8 8 16 6 02 Q4 ? X+ B2 I* ~4 w: a
%GATSP.m$ c, j( d9 ]1 g2 H/ l( O Q
function gatsp1() G. R$ _0 D% [; u# C. ~0 Q1 r
clear;+ r0 |5 O$ S& k, _9 _
load distTSP.txt;2 q. G/ k! n( w# X" B
distance=distTSP;
: Z) B' t5 F# Q: @" O! r- E2 }0 i5 oN=5;% r0 d5 r6 B$ O6 |0 b( j, |& o! \
ngen=100;
~+ C7 n- W1 y) [! B+ g/ F# fngpool=10;+ y$ Y, A; \8 H( l" H. d
%ngen=input('# of generations to evolve = ');
7 T0 y& }2 Q! h& r%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool9 K! N5 H4 h( ?# z
gpool=zeros(ngpool,N+1); % gene pool$ Z: y( ]0 y. L; r5 A
for i=1:ngpool, % intialize gene pool: M+ |8 ]. \9 D4 p9 E1 w
gpool(i, =[1 randomize([2:N]')' 1];0 j+ P. e* T8 K3 }4 f+ R0 z9 K4 Q
for j=1:i-1
# c o4 |# h2 c9 s; ewhile gpool(i, ==gpool(j, : V# o, T0 j; O3 A( q- {& F. p
gpool(i, =[1 randomize([2:N]')' 1];7 S. Y& F! r8 f u) k9 T
end
1 B/ S/ H/ ]( v6 v$ U1 E end
) V( h0 `' c# u1 B" H end
* ?7 y2 b2 J5 ^8 g" i( f" g6 Bcostmin=100000;
5 @* I9 i# t u5 m" Q tourmin=zeros(1,N);& l, q+ t9 n E* H' ~
cost=zeros(1,ngpool);) [6 ]) Z: B9 C/ g" s
increase=1;resultincrease=1;
+ w# ~! d6 R7 t$ R& e& n: Y for i=1:ngpool,, o5 M" _& ]" w/ o
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
; b p' P& g3 n! F! V. A l* |9 R end8 [- [) @! ^1 w5 A3 ?; ~# v
% record current best solution
& c' @5 [- e" n: S6 @; m% K/ c1 Q[costmin,idx]=min(cost);
) U5 l1 j: [9 Q8 E* G- a5 Utourmin=gpool(idx, ;
8 M6 |. o! G( B, b6 ]disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
% t! M: E* i$ T- Dcostminold2=200000;costminold1=150000;resultcost=100000;
6 r* f- K' z- ?5 M3 htourminold2=zeros(1,N);5 |" Z- y4 o+ l
tourminold1=zeros(1,N);
) U4 Q! M( e, K! E) Rresulttour=zeros(1,N);
1 A% \7 _0 R8 e0 @while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
# w8 T( R1 h* u8 L$ o3 @+ |; zcostminold2=costminold1; tourminold2=tourminold1;# [( W$ {, y" p+ ~* M. `/ s+ c
costminold1=costmin;tourminold1=tourmin;3 w' j/ G% S% d1 s; o
increase=increase+1;; w7 g+ w0 K! e5 P' u$ u8 _
if resultcost>costmin) A& z! h8 U3 e) h8 S% C6 B
resultcost=costmin;
& C) M6 ^' z6 ] resulttour=tourmin;
- k) k W1 l1 T' s# O( G! C* H resultincrease=increase-1;
2 ?% i' p {& {# e7 S4 z. X7 x end% g" P9 Q* X# h$ O2 j8 p
for i=1:ngpool,
/ a) _' Z0 @5 T% P$ A4 p0 S cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
7 l9 q( S( o' x: v; J& H# c% Nend
. D4 q* A: Q7 {" o: i' [% record current best solution% q/ }* h- N, z3 D, n3 Z
[costmin,idx]=min(cost);2 b* r0 {% M5 _1 R
tourmin=gpool(idx, ;
. J' h4 {% }: \; C% R# }3 j%==============/ T- x |6 I; p
% copy gens in th gpool according to the probility ratio2 x; _$ M \: ?2 s8 ~8 g
% >1.1 copy twice) s8 g1 c) n1 F
% >=0.9 copy once. N, t) ]/ i; i0 Q0 G
% ;0.9 remove6 D. ^. v4 G' o! g$ ?# c- }
[csort,ridx]=sort(cost);
5 a5 q1 b2 p& k) P/ S. y5 r, `# H+ z% sort from small to big.
, X. z# W/ w! U5 p* E" O. P `csum=sum(csort);8 h. `& ~6 s& L2 S# s+ t. b
caverage=csum/ngpool;
; \8 [/ v+ \: O$ }' Bcprobilities=caverage./csort;+ p- _2 ?% v: f. P. |
copynumbers=0;removenumbers=0;
+ l' s% [0 x# _4 l6 L) b/ T% F2 dfor i=1:ngpool,
6 b. U0 C+ U3 z1 e if cprobilities(i) >1.18 ]% |. y# R' }5 P' x' |
copynumbers=copynumbers+1;" @0 R$ W1 {# n p. u* S& _
end
7 P' a" {+ }- m/ p. f" a+ Y1 ] if cprobilities(i) <0.9
0 j7 ^! O7 O$ \1 L removenumbers=removenumbers+1;
1 v; c7 Z8 ~& X& Y, @ end
1 v# j- u1 ~% ^) F end/ L8 T4 [% x6 G7 M+ E/ M
copygpool=min(copynumbers,removenumbers);
7 H: F. K' ^3 t. f. E' y" ~ for i=1:copygpool
9 x# J5 K- Y0 D% H8 W D! @7 J4 d9 y for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
8 L+ ^3 Q5 {7 o- ?4 Q- t) }% e% g. n end6 o" x/ R6 L; g6 r1 A
gpool(2*i+1, =gpool(i, ;
( @( m8 F/ s) I end
! x/ |0 A" U- |( A if copygpool==0
3 x& x' g/ O0 Q% y% @: d- X gpool(ngpool, =gpool(1, ;
4 t7 h' @" r/ W s* _ end' I# a W% @) }3 A) v
%=========( t3 s' x9 v5 C' W o; v# y
%when genaration is more than 50,or the patterns in a couple are too close,do mutation2 \ h& p& J. G
for i=1:ngpool/2
: p/ ^; s ]7 |8 D %! h7 J% @9 k4 N7 D/ L; u
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
j4 a2 V8 I* }diffidx=find(sameidx==0);
& X# c1 Y: e8 g q: C2 x3 n$ C! q if length(diffidx)<=21 Z1 M0 o% B) A# g
gpool(2*i, =[1 randomize([2:12]')' 1];
) X+ j0 k3 E9 T end
. I8 ~' y( \* h8 H' p end
& A; G% e W, F/ n0 ?7 g%===========
2 j7 w. y8 o( c& e J- z/ @: b%cross gens in couples, T3 Q' z7 _6 G7 ~, y( ^3 x
for i=1:ngpool/2: u" P! A0 \ x% ] N; _- r+ R
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );3 ], s: C8 w. e k: o% B& E
end; k3 ~4 E- P- K4 Z
for i=1:ngpool,! ~0 i- ?# c3 E9 P) Z: {* t0 e0 X' l
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
/ H$ M! R# z& ]1 C' A7 |/ A end$ L! K* _* k8 t; |# c1 z
% record current best solution4 }5 K# B+ d- a7 M
[costmin,idx]=min(cost);- t& I4 u$ m" b6 }8 N; k6 ~
tourmin=gpool(idx, ;
5 u9 p6 F- ~* P$ edisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
- k* L: `7 b9 i' b- J$ uend
$ h7 ^5 C0 P5 S$ ~% [; ] tdisp(['cost function evaluation: ' int2str(increase) ' times!'])8 L' ]* t9 ]( ?8 n
disp(['n:' int2str(resultincrease)])
: e% @& E8 Y) i3 odisp(['minmum trip length = ' num2str(resultcost)])
# f/ G# G$ R0 R* |disp('optimum tour = ')
" U1 h3 T2 J" q) u K' adisp(num2str(resulttour))
1 _+ I6 e+ {) Z%====================================================- ~9 h; r* }0 @2 A9 \, f; B
function B=randomize(A,rowcol)
4 R1 p' i3 R0 |% Usage: B=randomize(A,rowcol)
$ x' X* G( Q& u9 T0 w8 \' m% randomize row orders or column orders of A matrix
7 J, T N6 s8 ?- f+ u% rowcol: if =0 or omitted, row order (default)7 K% {" N. r+ o( c! @
% if = 1, column order
% e9 s1 z/ c& i3 K' ~rand('state',sum(100*clock))0 T* Q7 B( Q0 f
if nargin == 1,
]) E* E8 M# B7 V$ A; [4 l# L- U( v rowcol=0;" ]) G" v% B. a2 Y
end1 C, b- Y! g2 B3 c& E8 {
if rowcol==0,
- ^) H g) i q% A- C( J7 H [m,n]=size(A);
0 e% J- [+ P$ N+ q- v p=rand(m,1);
: _# h8 p5 B, b, k0 D5 b. o [p1,I]=sort(p);4 Z- @# c2 }/ X- c
B=A(I, ;3 d& x% \1 `) Y8 F4 R: ?+ [
elseif rowcol==1,
p+ p/ C3 W5 h, g+ m Ap=A';4 [6 o; W' r" W# X& j
[m,n]=size(Ap);
* O- D8 a; s8 p$ H# S) U7 N4 v p=rand(m,1);
( U; [" H6 e" a& I+ d1 a7 h [p1,I]=sort(p);0 \8 v7 X3 ?" [* B. @
B=Ap(I, ';) y) Q; I: g8 p$ n# N
end/ x% _# c" C. k- M
%=====================================================) ^+ n, z9 i, l0 D8 X+ v) q
function y=rshift(x,dir)
; p5 ^+ M7 f4 ^5 h. E; T% Usage: y=rshift(x,dir)) E. v! ?% q% U% G
% rotate x vector to right (down) by 1 if dir = 0 (default)6 l5 |) s. w7 t, Z2 s3 k
% or rotate x to left (up) by 1 if dir = 1
- f7 N$ i( ~1 f, Y/ `1 Cif nargin ;2, dir=0; end
1 Z/ k* K( P7 d: l[m,n]=size(x);
& o# O- t$ b5 j) H8 }if m>1,
3 K R) K! L* E, U/ M" Q5 jif n == 1,
. t! M9 |# \7 Y: N( g' G col=1;( B" @) ^: [9 ? t5 u$ Q, n
elseif n>1,' N; i3 T$ `. q6 ?4 S
error('x must be a vector! break');
* V6 S5 `% {( Eend % x is a column vectorelseif m == 1,
% ^% ]) _* ?- A1 z2 Uif n == 1, y=x;, Q' P6 {: U! F0 E9 ~# |
return
6 A6 e$ l, J+ c' x3 Kelseif n>1,' q( A! n. g" ?7 l. g2 A$ E
col=0; % x is a row vector endend" Y, {4 C/ s; Q q# O* y' c. M6 p
if dir==1, % rotate left or up
1 H7 U9 a" Q7 ~) } if col==0, % row vector, rotate left
7 o4 ]; s6 V& G y = [x(2:n) x(1)];
* G2 y- J2 m: y" h elseif col==1,# W" t4 x5 d t4 J3 G: l
y = [x(2:n); x(1)]; % rotate up# m1 o2 ]* s5 n7 w$ {
end
B0 W7 } O( \3 z( e. p elseif dir==0, % default rotate right or down+ q- T1 g+ }% V: {$ t# s1 Q1 N
if col==0,
2 }. t/ E) A+ g' s0 d. n y = [x(n) x(1:n-1)];
9 y; l' O. N5 [# w+ | elseif col==1 % column vector8 l& t! \ K0 w, o# @
y = [x(n); x(1:n-1)];
3 G, S& L0 m2 g/ Z' `# @% k end
) e% P' i$ v, }& A end
/ l* w7 ~/ y- Z6 s! k8 ~%==================================================
$ f: L4 {9 N* q9 O( ifunction [L1,L2]=crossgens(X1,X2)
8 F: \& Q8 ^. D% k0 N$ u* y! K% Usage:[L1,L2]=crossgens(X1,X2)& K9 x* M) G( N, ]; H
s=randomize([2:12]')';
; S6 ]5 |' x! o$ }6 q1 T6 cn1=min(s(1),s(11));n2=max(s(1),s(11));
- U+ v$ u$ D. }0 N xX3=X1;X4=X2;
4 }6 }( Q% [8 efor i=n1:n2,! m+ L! F6 J$ G# ~; K! }. @
for j=1:13,
, [. ~. {* f, ] if X2(i)==X3(j),
3 Y2 y5 S/ H* Q, j X3(j)=0;3 n% ?! ]4 T) {7 q+ ~* y+ l; e
end( v9 |/ u3 F) q" D
if X1(i)==X4(j), X4(j)=0;
% D; p4 \( i1 d0 B end
3 z# t, P* E) I/ C( A% r9 B2 | end3 `# ^- L+ w( X9 T* X1 x2 |$ y
end9 _8 v$ y+ V6 m5 }, |
j=13;k=13;
5 D C1 w) D7 [ for i=12:-1:2,
Q5 d; E. \& D ` if X3(i)~=0,
8 S" \- Q3 N/ }4 ~ j=j-1;& P, X2 _0 [" V6 p6 M
t=X3(j);X3(j)=X3(i);X3(i)=t;, |; m0 K4 G+ ^
end
: A# Q3 T9 M) D% C' i- @% z; O if X4(i)~=0,+ T) r0 \; ?/ [
k=k-1;
. w! s# `* u! J8 a) D+ l) t" G t=X4(k);X4(k)=X4(i);X4(i)=t;6 C2 I3 G8 f# h. f" O6 A
end
- q- W8 l1 i8 J& E/ M" H end/ J1 m x. U8 B0 G- Y
for i=n1:n2) `4 l; D2 S2 ?: R! H0 b
X3(2+i-n1)=X2(i);- `6 u' _; Y* L( O3 N; ~9 Q8 e' d5 m
X4(2+i-n1)=X1(i);
1 M& D" J& n5 q end5 `. @. v& X, ?9 p2 C( H- e Q
L1=X3;L2=X4;
- e! J5 C, R. H r2 v$ M/ m7 p%======================= |
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