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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!!!
" @6 E: P$ G% m' N7 {( ]) [+ SdistTSP.txt" ~0 y6 N: F$ P0 g* E
0 6 18 4 80 `9 N( |& a$ x( o3 C' T: c# O7 F
7 0 17 3 7* r1 _5 ?6 o0 ?5 U( s( e3 W9 P
4 4 0 4 5" X, n' d, V7 m0 j2 p3 a
20 19 24 0 22
/ u! @" V* |2 _8 g6 E: _2 N8 Z8 8 16 6 0# v) G# ~% c( w$ {. {8 _; n6 G
%GATSP.m" y+ z' {: d0 k# ~
function gatsp1()
4 x9 E( ^3 B$ I+ Q. p9 Qclear;
9 }0 |+ [* }5 ?load distTSP.txt;/ }+ Z0 w8 ~6 [
distance=distTSP;
5 |% P, z3 B3 G! y; p8 L& UN=5;# L7 L: f- |7 k8 e* x2 M
ngen=100;
. F7 }8 ]: A" tngpool=10;
! l6 K7 C. s: H3 n5 H%ngen=input('# of generations to evolve = ');! s6 z5 y" w9 D# b! w. Y8 _$ O
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
) _: J* n7 i$ O+ F- [# R) Ogpool=zeros(ngpool,N+1); % gene pool% e0 E2 Y. c, l9 ]% X4 C" J
for i=1:ngpool, % intialize gene pool0 `' ?. x4 t6 R2 `
gpool(i, =[1 randomize([2:N]')' 1];/ h0 c2 G4 V ?9 _4 q1 q7 a# _ k
for j=1:i-1$ @3 m1 s. _ G; Z
while gpool(i, ==gpool(j, 0 r3 A; j( L! W6 W9 _
gpool(i, =[1 randomize([2:N]')' 1]; r- y% X7 I- e
end/ Q/ C0 z, g3 M$ I; E
end
; t# o U L% v* e end4 ^8 G# q- D; w: t' M0 z
costmin=100000;1 M0 U; _# l1 j5 W3 t1 _
tourmin=zeros(1,N);' }2 o3 k4 \# y: f/ h0 F
cost=zeros(1,ngpool);
6 O) w& ^1 D s/ y R7 oincrease=1;resultincrease=1;( L5 y$ M& S1 F7 V5 r/ N8 s9 x6 c, O
for i=1:ngpool,& e; \+ l' D1 C
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
9 ^( g0 Y5 W$ B- I" D! W2 ? end
# e2 e% {) Y1 L0 b7 C% record current best solution+ y |% r# H$ D; b; w
[costmin,idx]=min(cost);9 z0 O+ p' M$ f; t. W# k/ f
tourmin=gpool(idx, ;
$ E+ C; u5 X8 S+ k7 G' w z2 o# Odisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
, H4 E, @7 b9 i& \) J& f+ u! S8 j, Ycostminold2=200000;costminold1=150000;resultcost=100000;+ a0 O4 c. i5 g% @- _/ E- n) m
tourminold2=zeros(1,N);
8 X; O3 A4 w: M6 `( u. utourminold1=zeros(1,N);1 {5 \9 k+ E' J3 o0 H; Q: R4 V _
resulttour=zeros(1,N);5 p/ O4 |, g2 Y* @9 B8 s& h/ ?
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
- z8 r# u$ U! n. G3 g/ f1 m5 \costminold2=costminold1; tourminold2=tourminold1;
" l8 \! V& J- \% ~costminold1=costmin;tourminold1=tourmin;4 G, i- O4 i7 B1 P# U9 }3 {
increase=increase+1;
3 w; M0 e3 G2 \2 ?" eif resultcost>costmin
2 Y }/ ^" x0 @5 Y& x; F resultcost=costmin;- r, g1 ?7 t: W2 v# F; ^+ k7 n
resulttour=tourmin;! ?2 G7 T3 T9 i) d
resultincrease=increase-1;+ t9 h8 i; L5 O0 q9 r6 p
end- Q, g) N* G1 J7 N" o: _- \/ p
for i=1:ngpool,
) Y" Z7 ?% q& {& F cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
) c$ q# q% W( \end& b2 m% o8 ^. X8 p% T% Z, ^9 Q
% record current best solution& |( x8 l: A7 `: d2 z7 z
[costmin,idx]=min(cost);; h' Y- B+ t& X
tourmin=gpool(idx, ;5 k9 d3 n% q' T) T5 j( |
%==============
/ W- ^$ |1 M- N7 v: b) v% copy gens in th gpool according to the probility ratio9 L$ A0 s; x) ]2 B3 D
% >1.1 copy twice
' l2 ~- d% O6 S. H* r& _% >=0.9 copy once
2 n( J; {! c+ ?! r Q" R4 s5 z% ;0.9 remove) `. a+ D: _# f8 @# ~0 W% F! c
[csort,ridx]=sort(cost);, L7 p) B/ q/ ?0 Z3 K
% sort from small to big.% U. w, r8 j6 t2 d$ B! p9 ]
csum=sum(csort);* G' `& U( l9 a6 V4 `
caverage=csum/ngpool;. u6 h. n; ~/ s# y+ m( @
cprobilities=caverage./csort;
2 I" Z. _3 s& j5 F: ?; W: X; h, J/ I6 j! mcopynumbers=0;removenumbers=0;
" _9 v$ T; ^, X+ R) R5 r6 c& n: Yfor i=1:ngpool,- }9 i4 `/ o% s7 W/ o
if cprobilities(i) >1.1* Q5 @. [% F( H$ I5 Y" C4 K
copynumbers=copynumbers+1;
^1 r3 k. O/ z/ L* D9 z end
8 G& V8 I- a& _" S& i+ F% | if cprobilities(i) <0.9) d0 ]& v& j9 E6 B
removenumbers=removenumbers+1;) L3 [% C2 x# n$ t
end
, o- k6 r l* N end
3 g4 x& O/ _/ M w- x7 F$ N' ?, W$ P copygpool=min(copynumbers,removenumbers);
+ s8 R# Z7 c$ o for i=1:copygpool) o$ K0 u& [* a5 T
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
- M8 H Y7 E$ h% ?" w2 u end
, f- M; R% r+ L- ?: Y gpool(2*i+1, =gpool(i, ;
1 v6 ?/ n1 P! B- O* G2 i, f2 _3 T end
1 o( C8 k& y! n& D! D if copygpool==0" Q, `2 x6 w7 T! _6 v* E% @+ N: M" Z8 l
gpool(ngpool, =gpool(1, ;
0 }1 P) i- X( H, d6 B0 F7 { end+ \- A0 }! X2 ]5 ~
%=========
/ w" A+ b8 v1 |%when genaration is more than 50,or the patterns in a couple are too close,do mutation
; G4 }6 @0 d1 p$ Kfor i=1:ngpool/2; D: ~! {' [& _! @# J9 R
%
1 {0 x1 |# L( R: Z3 w' {, Bsameidx=[gpool(2*i-1, ==gpool(2*i, ];
: P5 W5 r$ ]- x% g9 t$ L' ldiffidx=find(sameidx==0);
- o! Z3 Y& d/ z0 R; V R if length(diffidx)<=2
- I0 \3 o% t; C+ N b% g) F gpool(2*i, =[1 randomize([2:12]')' 1];1 M2 l' m0 ^3 ^& m' R
end+ e7 U' }, Q$ @5 f
end U; G/ n* I7 M) i
%===========
7 ]( b5 p" ~& P T% D+ ]5 I%cross gens in couples- ?, j! V6 c$ l" G8 b
for i=1:ngpool/2
5 T8 k, h* u& p+ i* Q; w [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );& y1 Q) X. C! b8 B* s) g: ~
end
- K$ [) ]+ |) l- f. u for i=1:ngpool,
& E( U! O' Z ]7 I% D* V) a H cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));3 R% {$ L: ^$ Y4 ~( [9 w0 z
end6 d% p9 w8 D8 K! {7 N* R
% record current best solution
! {7 V7 b4 u$ X1 N4 ?[costmin,idx]=min(cost);
7 q- W/ E3 \+ v1 btourmin=gpool(idx, ;7 ]9 v( [, x& Q
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])1 X1 C' u2 S0 b7 x2 B
end 2 ~8 z/ r5 e6 x
disp(['cost function evaluation: ' int2str(increase) ' times!'])
& H4 v2 G' _+ t+ s# Zdisp(['n:' int2str(resultincrease)])
, ^# Y( B9 B W- Ddisp(['minmum trip length = ' num2str(resultcost)])0 X" E& B7 t; x* G( x. n* x7 E
disp('optimum tour = ')
( M7 P2 z7 r9 l3 ?5 D2 {. y9 Edisp(num2str(resulttour))
6 m5 O! M! ^4 G% i%====================================================* E [7 e0 Z5 _0 }2 J9 Z6 K
function B=randomize(A,rowcol)5 c, T) {9 c6 h# S; ]# Q/ \; V3 F
% Usage: B=randomize(A,rowcol)
) \ D5 b* H) [: t2 q1 _. `% randomize row orders or column orders of A matrix
$ U$ O$ e5 C6 M e% rowcol: if =0 or omitted, row order (default)" ]2 H9 m, e3 [) W8 U' v6 i
% if = 1, column order. \* m0 ^( W- x$ P1 q% w$ ~
rand('state',sum(100*clock))
5 \0 c2 D4 n+ D9 O2 a% rif nargin == 1,) t* g$ \5 H" Y; }: f. |9 R
rowcol=0;
! b% w/ y+ M! L: h. y1 M9 j% b" Gend0 x8 x+ n0 K* f. Z9 v1 w3 V: h: @6 \7 }
if rowcol==0,
1 A4 c$ {1 l ]9 x [m,n]=size(A);( `+ p/ o% @. X
p=rand(m,1);
. O& q! @) Q9 h3 e1 w; E [p1,I]=sort(p);
$ V- K/ P3 N5 s" E3 D- Q" L( k1 y B=A(I, ;
; v6 e( [2 i( ^0 p, q% uelseif rowcol==1,+ l9 o; z5 D* U; d6 g& }6 o
Ap=A';- y! G+ U+ r# U( C4 E8 r
[m,n]=size(Ap);
* n0 y! O* N5 ^* j9 S1 O p=rand(m,1);
) V4 u1 l* E/ d6 v4 I; V [p1,I]=sort(p);
4 w5 A5 l5 q! U( b7 `8 I( m5 t# y1 A B=Ap(I, ';
) g; ^9 d w! A8 Fend
& y9 B* P3 T" K) d%=====================================================, j t9 x5 ]+ U* o. |: T# s
function y=rshift(x,dir)
% Y8 |/ x T1 P' N* B+ g6 x2 Z% Usage: y=rshift(x,dir)
' k% Y& ~$ R5 H3 W9 `% rotate x vector to right (down) by 1 if dir = 0 (default)
7 i: I. |: t! D. p: v% or rotate x to left (up) by 1 if dir = 1' h) Q0 @, p4 u% g! t. r' M# r
if nargin ;2, dir=0; end0 b4 S& V( ^3 G) C `7 I5 Z+ N. X
[m,n]=size(x);$ x9 d% V# Z! Y" q h
if m>1,
6 K9 ?2 N# u1 e8 a2 b. x3 Vif n == 1,
% K R b- w4 {+ G1 x col=1;
9 u5 u3 O. r2 u4 [# velseif n>1,
2 g7 p/ ]4 M/ v7 B6 d error('x must be a vector! break');0 Z" M7 m! C7 R
end % x is a column vectorelseif m == 1,, x0 y5 X1 {. Z( Y& q
if n == 1, y=x;3 \* {) h. n8 \" h& @- I4 Q
return
, s; p8 n6 t% d+ c% M* Yelseif n>1,
5 P9 D( t% F" p- ~$ | X( W col=0; % x is a row vector endend4 B( e. {# M2 [; G( c
if dir==1, % rotate left or up
, x [; i7 u1 E9 |0 ~* c2 e) K if col==0, % row vector, rotate left9 B6 `; o3 x# ~, L, r2 o
y = [x(2:n) x(1)];
# D- g- i0 N2 F) n elseif col==1,1 z+ v: r: E0 ], Y
y = [x(2:n); x(1)]; % rotate up
- b% _$ q6 Q; Gend
; d# O# O' |; _4 P$ B. T elseif dir==0, % default rotate right or down J6 u) E- C! ?+ C* t6 G. i
if col==0,
* a, j3 f/ w3 s" _ y = [x(n) x(1:n-1)];
5 s1 z8 B4 O) s elseif col==1 % column vector/ ]5 \ ~& a0 T2 K0 a) {
y = [x(n); x(1:n-1)];3 F F( Z2 X- F
end- v+ N0 I( v w; O! ?2 k
end- l# o* m! \ }8 Z$ r
%==================================================
: o5 f1 l5 }# M- sfunction [L1,L2]=crossgens(X1,X2)
! `, M4 |" w, u, s+ M/ C1 w/ f% Usage:[L1,L2]=crossgens(X1,X2)
# Y$ }4 v9 o/ R' o8 X, s, l) ss=randomize([2:12]')';* \0 v% M4 v9 `8 ~. ^1 Y
n1=min(s(1),s(11));n2=max(s(1),s(11));
* I# z, k" h" x8 [' X# z9 I# M) zX3=X1;X4=X2;
( v* P5 u3 T" ufor i=n1:n2,
- k9 ~9 h% L9 G! C for j=1:13,
# m# [, s2 P1 d3 `! f6 l% ?- { l if X2(i)==X3(j),
; u6 j5 x! D- A; y' u, e X3(j)=0;8 L! L- _ S) j7 P
end" \( m% d5 M* T! ?2 B3 i
if X1(i)==X4(j), X4(j)=0;7 W( L8 d* W" f! G- w: W- P
end: d0 z- \% a& w" X m. ^
end
8 \( y5 ~3 m% H1 V5 I! f end
) ]* ~0 T9 {. Y/ R j=13;k=13;3 n+ i! x$ J0 ^: w6 N
for i=12:-1:2,3 r3 I2 k" N/ l& Q0 L# A
if X3(i)~=0,) k' I/ j( A* z {. J3 C
j=j-1;" D- F' g3 G3 D7 N2 D0 h1 r. B3 c
t=X3(j);X3(j)=X3(i);X3(i)=t;
8 a1 \6 h! t$ A/ [/ U' O end
" C$ x7 I0 ]( L$ A0 y& H- G6 v if X4(i)~=0,3 N7 T1 f/ F/ _9 G* C
k=k-1;
4 W4 [2 x1 u$ C% B1 I: l& ] t=X4(k);X4(k)=X4(i);X4(i)=t;( b* @$ X2 U% k
end
% W4 Y8 z8 n& F( @ end: a g4 g8 t; k C
for i=n1:n2
- s& q. d+ ?/ U: C/ \( w X3(2+i-n1)=X2(i);; D4 R2 @% d5 F: z
X4(2+i-n1)=X1(i);1 @* u2 S3 H* I( F3 b
end
# d; v$ o2 e( I9 V& pL1=X3;L2=X4;
! j4 w4 Q$ Q% Y5 D" f# t- q%======================= |
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