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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!!!
2 P$ s* _! Y' W* d1 O0 C& GdistTSP.txt7 }0 ?- |& J. _+ a9 ?/ M1 i5 y
0 6 18 4 8- s/ M& [2 V% j
7 0 17 3 7& s: V! ^4 U3 V( Y- n! v8 v
4 4 0 4 5! s, Q8 c9 o9 P. n) \
20 19 24 0 22
) v/ ]0 |& n, N: `1 Z0 U9 A+ @5 x8 8 16 6 0" G4 ^# A7 z% d
%GATSP.m
5 T! b8 i9 X" k) B* t& h$ R) [function gatsp1()3 J& R2 t$ `, i% _- t( |
clear;+ B9 q r$ X* N( l$ X
load distTSP.txt;) T% ~9 b `$ v
distance=distTSP;
0 P$ G- b6 e( F) S1 NN=5;/ k8 }% e* E2 T; w, [
ngen=100;
1 a. v5 d( G6 y( a5 p5 s( o7 u, ~) `ngpool=10;" n5 b6 S" V5 b2 a9 A |# J
%ngen=input('# of generations to evolve = ');5 f! C; T1 l( C4 S
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool& r$ u2 D; H6 R
gpool=zeros(ngpool,N+1); % gene pool
# M6 ?* \3 r9 i! U' _for i=1:ngpool, % intialize gene pool D; a: k' x' O* h* O& _
gpool(i, =[1 randomize([2:N]')' 1];8 R1 M- e* K* g: P: }/ B' z
for j=1:i-1! y2 u& I# B: l" J
while gpool(i, ==gpool(j,
, \+ B% W" N& b gpool(i, =[1 randomize([2:N]')' 1];
( E4 ?! p1 u+ A' g end& a7 i4 k( b5 p) N) f
end! s! f7 h4 a$ N" g2 v0 j
end' k) q. f; u' q% e& ~* d: R! D u8 {
costmin=100000;. @9 x* o' `* `; A+ s) ^8 |
tourmin=zeros(1,N);
1 q3 _! q1 N8 H( y cost=zeros(1,ngpool);
& E7 E; [: {0 `. r7 F+ pincrease=1;resultincrease=1;: `& r2 E b6 k. u8 d1 U1 ]
for i=1:ngpool,
# z3 \ n7 Q9 ]9 `5 T; f4 y. {) Y; Q cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));5 ^5 w. i+ |% S* R% l! g
end
8 m! F# [1 L( u- c% s/ e0 N5 L% record current best solution
. {( C2 ^+ S' d3 h[costmin,idx]=min(cost);
: T! b% o; p% l4 Y6 L5 g& t, Btourmin=gpool(idx, ;9 Q( H+ m; i5 N' H
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
. ]0 V7 b n, V- H3 Q9 i$ Icostminold2=200000;costminold1=150000;resultcost=100000;
1 z* S4 f: @8 @7 E( }& k# stourminold2=zeros(1,N);
- W/ L% _5 h- I+ |/ K: ktourminold1=zeros(1,N);
1 ~& M6 Z% L s/ i) Y# @. iresulttour=zeros(1,N);' E. W$ z) H$ T+ }' w" O2 _
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
5 r& d9 [ U. ucostminold2=costminold1; tourminold2=tourminold1;
]7 T5 U2 Y2 } k& c% Jcostminold1=costmin;tourminold1=tourmin;
! i# K% e# }4 ]increase=increase+1;
/ d2 W! ~- ^# Oif resultcost>costmin' Y9 d/ n4 O: H: d* n
resultcost=costmin;2 s. E' y5 d+ |
resulttour=tourmin;) `, j9 \$ N, ]2 l
resultincrease=increase-1;5 l8 i& h# c- ?; _- k$ \* t% q
end, F/ l5 d9 R# T( z* M: M: p3 b, e
for i=1:ngpool,
5 M5 S7 l% Y) a, y cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));# u# J" h, N ~; s
end5 a* T; }* L, u1 C$ q( o
% record current best solution
3 c) h2 h. W8 b3 k8 i: ^5 o[costmin,idx]=min(cost); W7 c. K0 ]2 L& R' [6 R
tourmin=gpool(idx, ;$ _' G$ T( e* _* n& i
%==============2 n. F) o3 \0 t' N' n
% copy gens in th gpool according to the probility ratio
% H5 U' g$ G/ t$ H% >1.1 copy twice
3 \7 t [/ R4 A* i! d& M% >=0.9 copy once3 Z& r) v, R. N' ^2 M! Z# y, A* ?
% ;0.9 remove
9 j' O' W9 }& ~0 b[csort,ridx]=sort(cost);& P5 \9 V0 B( v1 p; o# E
% sort from small to big.
9 S: `5 I8 }2 t9 G& {csum=sum(csort);
c; x$ o- S R6 H5 _$ pcaverage=csum/ngpool;
/ H+ O+ B9 n7 c( Vcprobilities=caverage./csort;1 O+ ~. [) S3 k: O, X
copynumbers=0;removenumbers=0;
* F' a1 F$ D; G+ Q$ P( ~for i=1:ngpool,
2 ^% z9 t; F' C! o* ] if cprobilities(i) >1.14 n6 ^4 G& Y. h. i' J; G0 ~
copynumbers=copynumbers+1;
5 w( h9 |# @1 j6 t3 ^# v end \' f3 ?3 E: u4 e* n
if cprobilities(i) <0.9: v7 W2 T7 d' L, a8 B
removenumbers=removenumbers+1;; N9 z0 ?' a5 r% g6 Q. [
end1 o' p5 L! R9 Y m
end
\0 T, D: Z- p3 S5 F: [/ k7 ?1 x1 I copygpool=min(copynumbers,removenumbers);
. M" W( b$ ^5 `. p9 K" I for i=1:copygpool
3 @: y* S) r4 D; a" V for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
4 B2 H- O$ @( t$ w% h end+ I& i3 n' g. {' o3 v+ Q
gpool(2*i+1, =gpool(i, ;
9 R& `) r2 E% u! N$ v% ^) u% {" P end/ j6 X: J3 t# l$ o% n% o
if copygpool==0
; b L. O( L9 l" M% x- V+ L gpool(ngpool, =gpool(1, ;
; {) Y. H J m end5 K! f) ~1 [- O n' r/ M8 v. g
%=========$ Y4 C' c9 W) ]- L7 b/ P9 ^* V; E
%when genaration is more than 50,or the patterns in a couple are too close,do mutation; r7 x/ d' ]. q v" D p
for i=1:ngpool/2! p. }) g; U5 h7 p* I4 q# w4 x
%& M3 Q, i# N" b" {& a
sameidx=[gpool(2*i-1, ==gpool(2*i, ];0 t& c0 }% n1 u0 r3 K2 W; J# v
diffidx=find(sameidx==0);& f( t% _# u8 i* Q: Q$ @' d0 n0 ?
if length(diffidx)<=2
3 J& B8 t/ z, @- A gpool(2*i, =[1 randomize([2:12]')' 1];' M6 w0 H! t( p& q) @, k" ]1 X2 i* I3 v
end
. _1 h' A9 m' F/ e9 R' `# l! e end
9 z' g/ f1 e5 c: s# h3 q%===========
* V0 ^) J( X- @, S%cross gens in couples$ j2 L6 A8 n( y
for i=1:ngpool/2
& ~; u) U, D) o4 y4 ~& F: \" M( Q [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );' u' U$ u5 H& u6 Z3 c7 l! z
end
) n! L/ ^6 ~1 w) y8 V, P for i=1:ngpool,8 a) T0 \* A' z% O2 }
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
2 i5 \" K' k, Y end; Q4 c+ o8 Z/ q9 U
% record current best solution1 ?& l$ J6 V5 M& E1 L
[costmin,idx]=min(cost);5 O4 k8 M, D8 c5 ^5 M, h
tourmin=gpool(idx, ;# ^. T4 o. P* F8 h7 w" A
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])/ [, C/ w: P: [6 @# D$ W) f$ a
end
3 ~3 z, | L8 X3 l0 f' i; Gdisp(['cost function evaluation: ' int2str(increase) ' times!'])# i+ }6 @: x) R+ ~* k$ R/ k$ q
disp(['n:' int2str(resultincrease)])( g' g# m' S4 e- J ^0 ?8 o' U. m
disp(['minmum trip length = ' num2str(resultcost)])" K3 j+ E6 X* q7 {) l
disp('optimum tour = ')' s0 F# o) I; T
disp(num2str(resulttour))
3 S2 F8 { ^( }& a* s* M1 a' O7 Q%====================================================
$ p* E6 ^7 {( P4 n. H3 Ufunction B=randomize(A,rowcol)# a0 T. ?, H% C& ?$ A
% Usage: B=randomize(A,rowcol). w1 b! t4 j5 v( n
% randomize row orders or column orders of A matrix
, @5 v% {* u5 ^4 U# f" e1 e% rowcol: if =0 or omitted, row order (default)
, x. T" l- @8 Q4 f l( O$ v% l% if = 1, column order3 a& w' {1 ~. t/ s$ d j" F
rand('state',sum(100*clock))
* ~# L( l5 a5 L8 d3 H; @7 i4 Y3 ^if nargin == 1,
1 m/ S, @0 e+ w( O) \1 W rowcol=0;
! M% o' P% I C3 p0 uend( ]6 ^2 O2 F, Y. n% Z. w" d
if rowcol==0,
' }! m* H) Y5 x! t [m,n]=size(A);: @ e j0 [: y" i: Q
p=rand(m,1);
' f! ^# @9 v# [& {8 n [p1,I]=sort(p);
! ^" s' C# N0 [+ h Y( i4 w6 w& G B=A(I, ;; k! e, C2 u2 U) X7 d# ~
elseif rowcol==1,2 }( s* M Q) J' K6 H: p$ C
Ap=A';/ C% X/ k/ Y( J9 o/ j+ G
[m,n]=size(Ap);' ?- m2 o9 C2 d6 ^6 F, a, E% f( E( U
p=rand(m,1);
; F- E, z$ ^% L7 T9 U6 q* @ [p1,I]=sort(p);
$ ]; N! O. v5 Y9 j& y1 B( f B=Ap(I, ';/ A7 M, J3 M) w& q
end
* l# l/ ?! B" }4 n9 c3 t/ }7 \! M%=====================================================
. S. y9 f" `6 s4 `8 g* kfunction y=rshift(x,dir)( j) H2 v6 B4 |$ D- h+ A' C( q. n
% Usage: y=rshift(x,dir). S7 P, E0 ]+ H7 L% {0 }
% rotate x vector to right (down) by 1 if dir = 0 (default)! W3 ~& e* |. a& f# b% r3 N; w' ?- L
% or rotate x to left (up) by 1 if dir = 1
9 h+ y4 m& w2 X8 x7 p7 W2 w: \if nargin ;2, dir=0; end
1 S9 @8 D$ v6 h3 n: S[m,n]=size(x);- y7 m; h8 A e7 _; J
if m>1,- A4 P A F' x: h; V) Y
if n == 1,
% _6 J! B x, D9 y( C1 u+ q) I. l; o col=1;# n+ M& Z0 T9 _7 I! g
elseif n>1,/ Y" L9 P& h& V! z, @3 y) s" @( Z, T# g
error('x must be a vector! break');
4 n1 T4 Y, Z" @" p) Y# |- N$ c) I# @5 tend % x is a column vectorelseif m == 1,( F3 P8 \) c1 x6 ?/ Q1 J, b# w& O) }
if n == 1, y=x;
3 j& m& B, j" r! S$ a6 rreturn, J" E" q# l2 P. I( {2 C& \: z
elseif n>1,6 F3 T. c" T+ B ^# [
col=0; % x is a row vector endend2 v7 ~8 G6 X! E2 V
if dir==1, % rotate left or up; a9 q! L( N) |1 U! h+ d
if col==0, % row vector, rotate left
% }1 H) p" J3 d$ {5 S5 Y/ z y = [x(2:n) x(1)];7 N8 w+ T) x# W, q
elseif col==1,
1 ~0 d$ [9 d2 c* q; B y = [x(2:n); x(1)]; % rotate up
1 X2 Q! ]5 c/ s ]9 uend
0 }7 C/ \& W! G2 P+ O' c elseif dir==0, % default rotate right or down6 f7 o8 ]) I6 _
if col==0,
4 e4 t! w0 M2 u- W. A3 k' }# @- { y = [x(n) x(1:n-1)];
1 ~: A/ m) @7 |/ X elseif col==1 % column vector
: g3 g; }" e( d) `7 O4 X y = [x(n); x(1:n-1)];/ @0 g, z3 l" e) c( U, O
end
6 Q8 b# C) V/ ~8 F. j end) {; `* W8 `) w1 I4 J- A4 b) b
%==================================================3 J G a, P- j. b9 C( d0 O
function [L1,L2]=crossgens(X1,X2)( K0 c# F; O% R) {6 p3 O9 A
% Usage:[L1,L2]=crossgens(X1,X2)
) S" B4 \3 W O" _7 W3 U1 Y; ?& v" d- Vs=randomize([2:12]')';* V0 d4 X, o" h' @9 T% ]
n1=min(s(1),s(11));n2=max(s(1),s(11));8 L3 R6 H, L' o3 t, e- _! ?8 c
X3=X1;X4=X2;
; }3 Z, k* G; v1 kfor i=n1:n2,
- Z) C: b7 p( a, n3 N' l1 I for j=1:13,
& j" E3 n) R1 m0 ? if X2(i)==X3(j),
( r' }4 H: Y: Y# x X3(j)=0;
) ~8 z) b& N" q1 P0 ^# | end) p9 x9 n, s; W/ n
if X1(i)==X4(j), X4(j)=0;
, ^2 f, i0 k7 J: V a end
% C+ C8 v5 ]( @% w/ m end4 u/ t3 r X$ A
end& s! g( S0 A' R1 i1 P9 |) i
j=13;k=13;6 q* J: k1 e9 K# s: h, u
for i=12:-1:2,, b4 b K: f, `$ w, N$ S
if X3(i)~=0,
7 i4 Q' Z# ^% q: V j=j-1;
8 n4 j; ^: \7 ]" K$ ` t=X3(j);X3(j)=X3(i);X3(i)=t;
& o+ S2 |- p7 k' e) a [ end
' q; ?5 O/ {' l' a" @ if X4(i)~=0,
: Z: {; A% B8 k% g* h% e" I k=k-1;
! V! V5 u/ \9 d* @/ @9 s( b* j/ ^: o6 q t=X4(k);X4(k)=X4(i);X4(i)=t;
; w% y1 p. Z% Y" P* l- f( k end: _) H( M- ]8 P6 n+ `0 j4 O
end
% m8 I, O5 N- [9 C0 ~ for i=n1:n2
: k9 N" ^/ c; @2 e0 x3 A' n4 w X3(2+i-n1)=X2(i);
* h+ h8 N" k, h x9 h7 x X4(2+i-n1)=X1(i);5 h0 `# I$ i7 l
end. E b! T) U7 Y$ ^5 [
L1=X3;L2=X4;
0 E( n2 X9 f x, ^6 ]' a$ [$ C) m/ i%======================= |
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