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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!!!
: d2 R U' c/ W' Z' j; T' SdistTSP.txt5 j- V' P/ R( G* f0 m% H
0 6 18 4 82 [9 U. m% I0 H: Q |& \8 S; K( l
7 0 17 3 7# p" ~+ G- z; }: U9 g* E0 ^8 V( q" ]
4 4 0 4 57 g8 v7 u/ u5 g9 @; Q
20 19 24 0 22& L% B, g6 B) U8 y+ E6 V" l
8 8 16 6 0
7 ~ B) t7 a# x8 S3 I3 ]: a, r6 P" [%GATSP.m! H2 Q' M9 @ b) l8 J% S( t
function gatsp1()9 v) S. k0 G/ O6 B. z
clear;
) M0 p1 d+ L6 n% Gload distTSP.txt;$ F2 w: Y9 a7 t: Y
distance=distTSP;: q- ?, I! K" S/ B, i9 }8 D
N=5;
& } Q8 u6 u. m* P6 Jngen=100;: d6 Q9 i C- ?. A# [( i
ngpool=10;
5 f" j6 N1 n4 B6 M%ngen=input('# of generations to evolve = ');. f6 @7 g" u( ~: c. s( t
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool9 P9 y6 r" T* z( w" Q) \' B
gpool=zeros(ngpool,N+1); % gene pool3 X1 f" D1 j1 E5 n" U) Z/ ~
for i=1:ngpool, % intialize gene pool
. \% @7 Z) u9 k6 sgpool(i, =[1 randomize([2:N]')' 1];
% g( e1 }; H9 r/ \6 {& p$ }- A- Vfor j=1:i-1
- J4 i1 V# l" Uwhile gpool(i, ==gpool(j,
0 e1 V; U+ _9 Y: b3 o: l gpool(i, =[1 randomize([2:N]')' 1];. @) d% J# N, h9 P' }4 c
end- S% n! D0 }+ g& N2 p: i) o
end
6 ?) q& k+ S1 M r, ] end8 _. Y; V; I5 m$ w+ h
costmin=100000;
# M( e8 M+ X" c; O) z; i+ }5 {: P tourmin=zeros(1,N);& ^: Q! d7 `: q* X6 c0 ~) G
cost=zeros(1,ngpool);
; I/ n q5 m" Nincrease=1;resultincrease=1;; x( T& b7 N5 g# D# S6 W) I5 L
for i=1:ngpool,5 {. m$ t; }. y, W+ v4 Y% N, P1 g y$ X
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
. ~, m* e" }# w end
( p/ d2 ]( f/ B1 v) b$ ~1 `! N% record current best solution9 x; L( f- s3 z5 y% Y$ Y% R
[costmin,idx]=min(cost);9 G2 S, F# s, i" c6 c1 D
tourmin=gpool(idx, ;
# Y. G y4 }! m0 V7 Jdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
+ R* Q5 r; O: B6 Jcostminold2=200000;costminold1=150000;resultcost=100000;
* `' D9 r+ A$ U; etourminold2=zeros(1,N);
; n D3 v/ C# Z2 r5 g, C8 s" J' ytourminold1=zeros(1,N);" I1 r) y( H1 z y& g
resulttour=zeros(1,N);
) U T4 k5 z6 p' x* s2 q! ?. W. cwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)4 T {9 K6 B0 S5 O3 A
costminold2=costminold1; tourminold2=tourminold1;
2 Q2 Q: M$ M |costminold1=costmin;tourminold1=tourmin;& s3 h ]( R1 W! |
increase=increase+1;' u5 x+ Q, \( D% U- Y) k3 [' r- w0 o
if resultcost>costmin
- _" g+ ^ R$ m" q5 ^! O3 k" W resultcost=costmin;% `" W0 G$ \. W4 O& r
resulttour=tourmin;
% S4 R0 Z9 E# n6 ~( P5 k resultincrease=increase-1;
* }& N0 ^; v3 f5 W2 v8 g end5 A \9 I2 s8 m1 K- [ z- S& p1 _
for i=1:ngpool,* E4 w" r0 P6 z9 w- b/ K9 p1 W
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));; I5 n5 F- x1 C+ p- Y5 y
end: @% D( \! \ I5 H9 M; v8 N! u9 \
% record current best solution7 ?8 W0 D0 m w1 d" ^; W8 M
[costmin,idx]=min(cost);
! p5 K; m* `8 l: s) x) e% p$ mtourmin=gpool(idx, ;
# ]' t% F9 L6 _% u6 J7 ~3 _+ g( I- g%==============6 d$ g2 Y5 D) Z* y/ i8 I
% copy gens in th gpool according to the probility ratio* \& h6 \' h ^7 ?" s
% >1.1 copy twice
& g* c& l7 }3 u) p% >=0.9 copy once
1 B" ~& P6 [6 e U% ;0.9 remove2 G* {! _$ ? n6 r3 U+ y0 v
[csort,ridx]=sort(cost);; q2 W4 O( [3 @" `) K
% sort from small to big.
, \6 ?3 M+ N1 ocsum=sum(csort);
$ |/ k( x' ?8 ^8 H8 D1 Tcaverage=csum/ngpool;1 [4 u3 S) [) B$ l0 X: _
cprobilities=caverage./csort;
/ t% v3 N6 v& C. v* ], dcopynumbers=0;removenumbers=0;5 Q: H" N3 r- l( f+ J2 L8 i
for i=1:ngpool,6 T' N' \- a! \6 F9 ?" m
if cprobilities(i) >1.1
7 A# ~, p! n) W copynumbers=copynumbers+1;
: P( U$ C: f( _/ J( q' ?) n6 `* R end
! R. d* r: r; @9 z; R" ]2 | if cprobilities(i) <0.9
% N! _; U/ ?) ~$ n9 H( j; Z/ l8 m' d removenumbers=removenumbers+1;! u: f& c( w& Q7 ]: A3 C
end
* V) _% W/ N, i0 C3 G/ E2 j end9 }& U) w- ?) ~" X) O" R3 k8 y! v
copygpool=min(copynumbers,removenumbers);( n+ u' K5 k/ d
for i=1:copygpool
. A& J1 h- t/ n( ] for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ; V- p; Q; F, A8 b) l& O5 M- E
end6 P; G u! g3 n3 B- R: V
gpool(2*i+1, =gpool(i, ; q( }: X5 c" T/ E, m2 |
end
# m3 T9 r- n! g5 b if copygpool==06 K% h+ _( F. U) C
gpool(ngpool, =gpool(1, ;
& m* S& J: d3 `, |4 Z end) Q- Z2 y. m% L6 H1 |8 s; j
%=========
9 F# ~1 \+ B$ w' G' w%when genaration is more than 50,or the patterns in a couple are too close,do mutation6 C$ U0 g$ {' z. R7 d
for i=1:ngpool/20 q( v! R0 I9 b& S
%* L. N7 y* G) n8 }! V
sameidx=[gpool(2*i-1, ==gpool(2*i, ];7 F7 p- M+ t$ @' Y" P) {
diffidx=find(sameidx==0);
' O4 X4 h* Y- h) A& x% r if length(diffidx)<=2
' Q' T+ L/ r8 O# |' ~& E1 K gpool(2*i, =[1 randomize([2:12]')' 1];5 f# l/ i% S' p* ]9 s4 x8 I" }
end5 g$ E+ X+ B/ A1 x; I! b
end$ E+ Q; e' d4 O; K! J. s% G- q. @" }/ H
%===========5 ~! x, Q7 r. F5 Y
%cross gens in couples; Y' i' K! l9 K3 E" o
for i=1:ngpool/21 N6 M" H7 Z% u3 C4 E
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );# R8 \9 X+ n2 P) m5 f( t. z
end. r1 L8 k! Z. c$ l8 T
for i=1:ngpool,. u6 ]+ w0 K" M3 |2 E3 {7 R
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));1 y* [: o% q/ x1 v
end! L! I4 y, c' T2 K* t+ r2 ~
% record current best solution5 b1 h7 v& t& P% x
[costmin,idx]=min(cost);9 ` l) k+ h5 Z0 i( m
tourmin=gpool(idx, ;
0 @8 g; k1 z% x" E* r& @ T! wdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])( j4 R* _' D8 B Y' ^! c8 o
end
- i7 V A, D% w0 U8 K! ?7 @$ q( tdisp(['cost function evaluation: ' int2str(increase) ' times!'])
- w) @2 i1 s% _6 gdisp(['n:' int2str(resultincrease)])6 l- A N- |$ y/ h% a1 \1 m1 k
disp(['minmum trip length = ' num2str(resultcost)])
% W3 B& d( F% H9 E! N3 Fdisp('optimum tour = ')
, K N6 r+ C8 Mdisp(num2str(resulttour))2 S7 ?/ g7 V. p$ ?+ o/ L/ |
%====================================================- N5 }% W, P) K, T6 |7 |
function B=randomize(A,rowcol)! u8 S6 N# A( z5 u7 n% `
% Usage: B=randomize(A,rowcol)9 b2 R5 |( i2 h9 E
% randomize row orders or column orders of A matrix
1 `& C/ d% I4 U6 N9 |% rowcol: if =0 or omitted, row order (default)
1 B1 {; d8 Y# _4 T2 q, Q R" {6 R. l6 w% if = 1, column order2 I9 }7 v: {7 a$ ?
rand('state',sum(100*clock))1 V% k! @0 ?- X+ I! |" e$ D. }
if nargin == 1,2 j0 M7 Q* A: ?
rowcol=0;( ~: ]8 n1 z$ t' y4 Y2 E
end
# Z% R+ V+ p/ ^# j; K if rowcol==0,5 O- A/ P0 G# ?- I, x+ i+ ?/ ~
[m,n]=size(A);- l) b& ~ P9 v$ V6 n* ?
p=rand(m,1);5 }; z) N& e$ \/ Y" k
[p1,I]=sort(p);
# n! m- v7 n4 }/ C8 j: ?3 |6 c0 i, v B=A(I, ;
1 b n# F' f( s- g6 N( o9 ]elseif rowcol==1,
$ y n) e+ ^& e) j Ap=A';' ]: Y6 O9 c' L) K& Q! y& W
[m,n]=size(Ap);
$ ]0 }* C$ L: c0 f ?4 s& R- j! M p=rand(m,1);
" \2 b1 p1 N2 ^ [p1,I]=sort(p);$ U& V- K3 a' ?( d6 z9 ]
B=Ap(I, ';! |8 a: W! p" M$ x. O J& d/ R
end
" ^$ ~( y" n6 W( t$ V: p5 m%=====================================================
& h1 S4 E. V( d* ^1 s" u2 sfunction y=rshift(x,dir)5 f9 w' F0 h) o: L4 d
% Usage: y=rshift(x,dir): ] p2 `- d q5 T6 `& I
% rotate x vector to right (down) by 1 if dir = 0 (default)7 I O% E0 @) B, h: g& f
% or rotate x to left (up) by 1 if dir = 1
+ n! m$ |2 B4 {* H7 [- s" qif nargin ;2, dir=0; end( g# C& z# N+ z& k9 C* @
[m,n]=size(x);- Y4 V6 W/ e8 e# d, l
if m>1,
1 f9 x& ? X5 E$ sif n == 1,2 H% Z1 ^3 p" H$ g1 L8 j/ f
col=1;
p: o2 f* e( delseif n>1,. q$ m e% j9 f4 ^7 m% }
error('x must be a vector! break');
# i5 X7 y2 z* ~% M7 e+ K8 Y0 ~$ lend % x is a column vectorelseif m == 1," Q3 R6 K. z* ]* q S2 W9 T2 ]: K* W
if n == 1, y=x;4 S' L0 G3 B& |
return" O# s. } `% G/ H1 E7 F0 j' T
elseif n>1,
- t& s( C/ m L; R7 C' P col=0; % x is a row vector endend# L/ Y$ y( A, B* E& R
if dir==1, % rotate left or up- g% [4 g+ D1 |$ q5 H
if col==0, % row vector, rotate left: h" Y9 [6 k" p; }
y = [x(2:n) x(1)];! q# @4 g6 g2 {# C9 {1 }# M
elseif col==1,) c# t3 b, L5 D& g5 n: n
y = [x(2:n); x(1)]; % rotate up, q! a" V8 I1 r. b+ e* @: O
end
}0 X- | j& f- L4 c/ J4 T elseif dir==0, % default rotate right or down9 k+ D+ g* J0 x' P6 P$ S/ ? t0 N
if col==0,
$ e. |4 ?0 w+ R& u# M+ ] y = [x(n) x(1:n-1)];5 }9 V" o: N% [2 b* A# B: ]
elseif col==1 % column vector5 M* E- ~# a; g/ m
y = [x(n); x(1:n-1)];3 w0 [7 }# [" r! _# N) u; h% [ W
end8 C3 S0 _5 {' U. x! Q( l) Z5 B3 X
end4 ^5 j9 f7 P* I) n* ^) t s
%==================================================
- ?' z' A5 W6 z5 t8 ~function [L1,L2]=crossgens(X1,X2)
# S6 u9 V- O$ ?6 W0 ^# Y% Usage:[L1,L2]=crossgens(X1,X2)8 f4 \' B. j8 S
s=randomize([2:12]')';1 n" z3 A4 |) }! E6 Q
n1=min(s(1),s(11));n2=max(s(1),s(11));
+ Q J2 q& M0 e, x: l& G, uX3=X1;X4=X2;
: X9 A. N5 l' l$ Q# \6 Pfor i=n1:n2,# y9 g1 H8 S0 e+ X; @, g, X3 G
for j=1:13,+ ?8 ?& d! v, p. n5 g8 f1 ?- |9 y
if X2(i)==X3(j),
. X( d! z; g) m/ H1 S/ {# Z X3(j)=0;
4 A! v0 n0 [. P3 I end0 [: S+ j0 A; x$ w' }& |" s
if X1(i)==X4(j), X4(j)=0;6 i; r' Y' k* o# ~
end. c) {9 S/ M6 h, B- L8 y
end* q/ S: ]. \/ O9 ~( }# d' S
end% c7 ?7 y0 t- D& F9 h$ l4 z0 F8 `
j=13;k=13;
* U, q- A- |7 \2 V6 q8 } for i=12:-1:2,
% t8 d0 ~* a2 u* O, |; I( m if X3(i)~=0,
" v' H/ j8 I: m j=j-1;
# h+ x4 ^ F: U/ E0 E6 G( D* j t=X3(j);X3(j)=X3(i);X3(i)=t;
- ]+ Z( r k# b5 \9 f end
( r7 V9 H& c! W2 Y if X4(i)~=0,, M6 g# Y8 e5 z' f: Q2 V
k=k-1;$ Q/ C! _+ V3 p, f! q8 O# I
t=X4(k);X4(k)=X4(i);X4(i)=t;
- b% l, f Q- R# _ end( \( b. X/ j* a8 } n0 r
end
5 x+ g* N3 L4 o/ g) ] for i=n1:n2$ {& v8 U# q: V# N: D9 Z4 U G8 d; I
X3(2+i-n1)=X2(i);( F; ?/ g0 F$ s% M! H
X4(2+i-n1)=X1(i);9 S( h0 ^1 d" C
end
1 b: b! W) _7 IL1=X3;L2=X4;
8 [) x2 ]' Z7 D5 @# o9 s, Z& ~%======================= |
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