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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!!!5 [' X: x2 S! v* l. g" T
distTSP.txt! S' n: x3 g' c! \/ C9 n& l9 x; `! d
0 6 18 4 8
" h, F. e) q7 x5 U( e7 0 17 3 7, l3 D8 r+ [7 a- I. y
4 4 0 4 5
% D+ g3 |) I0 k# m- [20 19 24 0 22
% C- w. R) s# @2 _% S0 \# c8 8 16 6 0* @* X& W) c$ T/ [' V) i
%GATSP.m
1 }& h( h" o# x% C7 Q8 r2 O b" A$ bfunction gatsp1()
$ w, Z& p8 `& a/ }: [' @' K, F( U; Uclear;/ [( K0 G+ M+ l+ X
load distTSP.txt;( M* |) R, H; ]8 |, O" a# C
distance=distTSP;
! n$ M8 p' v: _( rN=5;
o1 M7 q1 j& b% L0 qngen=100;8 C6 p' c" k1 v; F' _! V( X
ngpool=10;/ H0 ?# u# p3 }" U
%ngen=input('# of generations to evolve = ');8 x/ ?5 B8 T) G! O
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
$ S/ |7 b' g# M# c7 W! p' Igpool=zeros(ngpool,N+1); % gene pool
) @2 c# m/ | A3 v. I7 zfor i=1:ngpool, % intialize gene pool
4 _# ]0 U, g7 [: y3 p$ qgpool(i, =[1 randomize([2:N]')' 1];) h+ k4 D) g4 H
for j=1:i-1
) ]6 A1 R5 q f' v3 y; ^& J$ Vwhile gpool(i, ==gpool(j, 1 s6 o7 H; g4 ?/ X0 X3 u' g
gpool(i, =[1 randomize([2:N]')' 1];
+ H0 M% x; j; l* ~7 C$ C end; x3 n1 l& U3 \" S6 q! z
end; p, Z/ {; U" j0 A
end
( W# j, y$ a3 j3 b& F& Xcostmin=100000;
$ G4 O3 O1 H+ ]" L, X" p% o4 c tourmin=zeros(1,N);
" B1 p0 y; d& a; J cost=zeros(1,ngpool);+ h. ]0 k$ z7 M" ?
increase=1;resultincrease=1;; k3 ]4 l7 i7 e/ \
for i=1:ngpool,
) O6 F2 W! F; v% l+ l; e cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
5 @. m8 y9 R1 J& C- D$ ?7 J7 V% G ] end( D5 i! A! Z! @6 I
% record current best solution
$ L1 ~6 o3 C) x- w$ P. Q* k% N[costmin,idx]=min(cost);
) H. B5 `# c N. ztourmin=gpool(idx, ;( V7 L& C9 p; K' P" q
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
& j6 j9 l, ^- M+ o. ~. ecostminold2=200000;costminold1=150000;resultcost=100000;
4 s* U! w0 M# k# V* etourminold2=zeros(1,N);
& k2 G$ i. |% h7 @/ Ytourminold1=zeros(1,N);
3 G. v# a( _* j6 ]! Iresulttour=zeros(1,N);9 s) \. v; h# b s' q9 o
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)7 O* p7 o* ?7 @* g9 v) e6 x
costminold2=costminold1; tourminold2=tourminold1;" A3 M4 j+ V1 e5 D/ H
costminold1=costmin;tourminold1=tourmin;
8 N$ m# q0 P4 E8 k2 v3 `! _increase=increase+1; h1 M3 ]: d* A/ |8 ~
if resultcost>costmin
. r ~" d# p0 P$ P! i+ G: \* T resultcost=costmin;
. `5 d' q. G) B$ @* C resulttour=tourmin;& n1 F4 a' T. ~5 F" v" D" x) b
resultincrease=increase-1;
% j. Y+ x) d4 p1 o {. o end
; l2 |# L: d- ^0 L+ A/ a( efor i=1:ngpool,0 C8 H$ S+ v t
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
, Q9 q$ U3 T+ ^* ~0 t& s- N3 ?end
% K# ]2 X% g% e% record current best solution, C+ d/ Y8 u V* r( @
[costmin,idx]=min(cost);
- B; ~% |; @+ @# Ltourmin=gpool(idx, ;+ m r" m1 X7 H1 w- y! B
%==============# M, N# S, I% e# E* ?
% copy gens in th gpool according to the probility ratio
! P8 g5 h4 X8 o8 e, q% >1.1 copy twice& B0 z- b! N* Z$ C
% >=0.9 copy once9 b7 ^8 ~# T6 }; A- n
% ;0.9 remove
/ V" w! \, }. A' L[csort,ridx]=sort(cost);
. x; U6 n( N& f8 h% sort from small to big. x: a) P* U/ A4 M% @- m
csum=sum(csort);
6 _* i4 i1 a- k% U/ A' F% m( R$ Jcaverage=csum/ngpool;
1 t# j% Y2 W4 W6 {cprobilities=caverage./csort;4 E( i8 j/ v# T- P' k; }
copynumbers=0;removenumbers=0;
, e$ }0 n4 O8 h9 q5 u. y" {for i=1:ngpool,
6 O. @0 r( o+ M v$ Y if cprobilities(i) >1.1" m1 t4 [* u+ _1 j [, w
copynumbers=copynumbers+1;2 V5 ?% G. w; b3 v5 P- m2 u
end
% y6 V4 d! p2 R5 y if cprobilities(i) <0.9" @( k" P+ f5 L& O6 ]; ~
removenumbers=removenumbers+1;2 n: R, v$ Z+ E0 R
end
. j) a! E+ a" T end9 k, w% R1 z' C' ^- J
copygpool=min(copynumbers,removenumbers);
* u4 u0 H* ~ U* w" G for i=1:copygpool
6 [, P0 S/ c" D1 a for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
( h" j, i7 V0 B4 z6 I# i2 _2 V | end: l8 ?( X+ Q- @% z6 |" Y+ ?
gpool(2*i+1, =gpool(i, ;! z. I3 Y1 \5 b8 T: b
end2 m6 u: z' D5 R, w8 a- H1 E. R
if copygpool==0- s1 o/ g6 w r
gpool(ngpool, =gpool(1, ;
5 ]' J% m) j5 S. y9 B1 D end
! [/ O1 X% p3 l" q" ~%=========
( {% p/ w2 L9 Y% R1 s! B$ k8 l%when genaration is more than 50,or the patterns in a couple are too close,do mutation3 S7 ]8 m) L0 I% M! X) j
for i=1:ngpool/2' b5 t0 u! |. @
%( h5 I! L* i- w+ c
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
) ~4 d; ^4 |. T9 R Ydiffidx=find(sameidx==0);
. A* N8 I, B, J6 p; c( h) ~9 q if length(diffidx)<=2
& y/ [6 x1 Q5 b; w0 A gpool(2*i, =[1 randomize([2:12]')' 1];
0 K0 Z: g, b g2 b# V% @% c end4 r7 r3 S6 l8 G7 h
end/ w" y6 M5 w1 L Z6 A ^
%===========
2 l6 s% w4 M( \6 K& N$ E1 Z5 f%cross gens in couples
( h2 \& k" B1 K8 L$ f* R, a for i=1:ngpool/2
, d+ V: t t c0 I3 X* G [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
; k9 t; u1 x8 t4 Z0 Z end
6 \/ v2 G/ h. ?. m for i=1:ngpool,
- M; ^1 T1 M& @% T/ N( @& @" K) z cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));: h& Y, `6 H% U O( v$ x* @& H
end
' y2 f* G% O+ B4 h/ L$ U" [% record current best solution
* F4 {4 _+ B3 B( e) p, F[costmin,idx]=min(cost);
- D4 c& h; S1 J% U( M. Utourmin=gpool(idx, ;
, r7 v: N' X& O; ^# B2 H* L7 ?disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
- q/ f4 R" v" Fend ; |" i) B0 d) W) ~
disp(['cost function evaluation: ' int2str(increase) ' times!'])! P% }8 @5 L+ \
disp(['n:' int2str(resultincrease)])
1 P( S! \; `' i* }disp(['minmum trip length = ' num2str(resultcost)])* f: ~- O3 n2 T! O# e7 B. u
disp('optimum tour = ')
( {1 e7 i% k% U b# u9 ddisp(num2str(resulttour))7 M/ J1 B# a- L7 J- m! c; V7 D1 r
%====================================================$ g7 M/ I3 {! \* N, @; j
function B=randomize(A,rowcol)
0 G7 j# u% }" r$ Q% Usage: B=randomize(A,rowcol)
% Z+ v; \/ y/ |/ T& L% randomize row orders or column orders of A matrix, j) C4 G+ U7 X* D; r
% rowcol: if =0 or omitted, row order (default)7 a8 ]9 A" j+ ?5 B& W, h
% if = 1, column order
1 p# a+ J% A! b6 `5 yrand('state',sum(100*clock))
/ W- x, C; k5 s1 h- ~if nargin == 1,* r( k6 V( Y" N4 }- ^
rowcol=0;$ |$ {- }$ C% f& z0 j
end8 V9 g' X' ^! w8 {7 m
if rowcol==0,! H* H+ m9 K* P) q' N ~$ ]8 e& [
[m,n]=size(A);/ X; o! L! k8 P7 M, E
p=rand(m,1);- O0 @ E$ Q! d$ {* k) P
[p1,I]=sort(p);
) p) \$ O$ R, A) g9 T8 b, | a0 U B=A(I, ;
+ Y5 n1 ~% A' m1 xelseif rowcol==1,! F$ [. Z/ i. A6 {( M/ @! X
Ap=A';2 ?! d( A$ \) r _; d1 U
[m,n]=size(Ap);, u7 g* J. w# l/ T, j5 n5 w
p=rand(m,1);+ ~7 a8 H6 n: Y% i6 w2 d6 |/ h8 P
[p1,I]=sort(p);
7 \3 F) P, P4 ~% s1 x B=Ap(I, ';, H) @* {' z' M! L) f5 w% I2 g$ C
end8 X# [/ j3 I# n& G
%=====================================================
5 K! ?9 M3 u; z2 y5 J+ i0 w$ o8 {function y=rshift(x,dir)
1 m f) \/ M' L& a; d- b% Usage: y=rshift(x,dir)" L* {/ p$ S D, d
% rotate x vector to right (down) by 1 if dir = 0 (default)
6 m/ l. o1 M* s) L4 m% or rotate x to left (up) by 1 if dir = 1 _4 q# T8 ~* G4 u# I
if nargin ;2, dir=0; end
$ e/ A/ S7 d% \# m[m,n]=size(x);
' z/ A% _9 D5 ?' S$ Eif m>1,
4 @# r) _% R2 Q# @: A" _) E! X! yif n == 1, D* X& s5 e5 R" Z# o7 Q2 Q$ f, \
col=1;
3 z2 r6 [7 v7 k9 @( helseif n>1,
9 W' W$ z, e' T# t" X$ s' ` error('x must be a vector! break');
* p! R5 r. U- A c! uend % x is a column vectorelseif m == 1,
f% y4 W" y+ _, |$ D9 q" [if n == 1, y=x;$ H! Z# J( t' ?" ]5 [* D
return
+ x$ Q$ D* r5 g$ z* V. Pelseif n>1,
8 t+ }, p: O9 Y* n col=0; % x is a row vector endend! U7 ]) F' o7 g1 H5 D9 N0 N
if dir==1, % rotate left or up9 l* h7 j" t/ V4 F/ T9 k7 Y) _' }
if col==0, % row vector, rotate left
7 Z" d1 L9 F& m9 m# ^ y = [x(2:n) x(1)];
1 l5 q! @ R7 Q elseif col==1,
0 S; w1 _& p+ h3 w+ q4 y y = [x(2:n); x(1)]; % rotate up7 q, d* B0 A7 v& j/ M% _0 l
end- x% M9 l& @3 I$ f; _( G
elseif dir==0, % default rotate right or down, o; {$ @$ P. }. m& f4 _, t3 s& f6 q
if col==0,+ D! s2 t/ [. |; X: A' D
y = [x(n) x(1:n-1)];
7 V+ _/ y0 x) J; c8 B' m8 l9 ]. s1 Z elseif col==1 % column vector
9 M: M* K/ L9 k6 W) K7 a" S( I y = [x(n); x(1:n-1)];: [- A% A; y$ S( i% J# @' p( Q
end
( A5 D" _, o, E2 v2 H! u end) @( u% \7 O+ a) l1 C' g, {) J
%==================================================6 _/ {( T% p5 O
function [L1,L2]=crossgens(X1,X2)1 o" k% V- t# Z1 B6 V; p
% Usage:[L1,L2]=crossgens(X1,X2): n3 O+ P+ s3 L2 h& m: X
s=randomize([2:12]')';4 S% J0 D, D1 T4 W* `. N* X
n1=min(s(1),s(11));n2=max(s(1),s(11));
! i9 w( C6 j$ ]X3=X1;X4=X2;# T$ F' w2 M* c- I1 h' z
for i=n1:n2,, u' V/ |: {8 ~) P. Y6 ]4 s
for j=1:13,
8 A* w7 C* r' m! b% J if X2(i)==X3(j),
0 B9 c2 u9 B" ^; W7 r9 ~ X3(j)=0;9 m. B, g8 l3 j z6 H
end
" u! K4 {0 q# h5 r) g) c" J) K- G: s if X1(i)==X4(j), X4(j)=0;- J( o9 _ N0 k
end) E8 Z1 O$ c" z9 b$ K
end+ q3 A2 F/ J: a/ g; I
end
M a# y- p+ R/ K j=13;k=13;1 ~# v: z$ H7 U
for i=12:-1:2,
2 s+ Z2 h) c- Y$ x0 D& q& p3 \) R9 G; P if X3(i)~=0,; j- l4 |. m4 D
j=j-1;/ S# D1 E" I1 N/ F
t=X3(j);X3(j)=X3(i);X3(i)=t;" o" Z2 o& Q; m0 U9 K6 v
end
0 U! W- z" U& d# V; O) e if X4(i)~=0," X9 w' A' b' |/ S6 H- o& b; Z
k=k-1; v/ L) B1 L7 f0 K
t=X4(k);X4(k)=X4(i);X4(i)=t;
% D, C. L4 a9 s ^! |, b* y$ B end
: J: q" P, X) y1 q* L end+ Q' l( `3 U& l9 ?7 e9 w; f
for i=n1:n29 V3 R! M2 m( A
X3(2+i-n1)=X2(i);5 I3 C7 B0 n+ K
X4(2+i-n1)=X1(i);9 i/ O o+ [; j2 N% a. i
end
: j) s# R% _' a$ ?( [; G4 p. e7 z( b. QL1=X3;L2=X4;
# i# ~. t- _9 v0 P%======================= |
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