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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 ]& {$ ^/ ]) K2 L2 `" @+ ^
distTSP.txt
* [2 r2 z8 K) i0 u0 6 18 4 8
# U: Z" S0 c0 i7 0 17 3 7
: Y, m( @ ?! S! U0 d R& w5 A4 4 0 4 55 U# A' X+ `7 g+ v. N- `9 i
20 19 24 0 22; X3 m6 W; C9 q! c% X0 t3 ^
8 8 16 6 0
9 i/ v* G& o% l' g%GATSP.m( y9 b; ^) I& K4 R6 a# H9 h7 v
function gatsp1()
u, M& l( l9 Q; vclear;
$ Q* m/ F+ X% @2 b5 @9 vload distTSP.txt;0 z. O* x" m, C8 h J
distance=distTSP;1 m; u; i/ T) K: Y I! @
N=5;
# N( P& R4 i; N5 a; `( {, wngen=100;
- U" a3 _" E% K1 Vngpool=10;0 E0 C2 t4 ~, t2 C8 E
%ngen=input('# of generations to evolve = ');
9 Q) t$ r8 r1 c0 w W%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool2 W$ [5 X* q8 C0 y5 Z+ S
gpool=zeros(ngpool,N+1); % gene pool
5 Q" r% X7 t2 i& M0 rfor i=1:ngpool, % intialize gene pool7 Q+ t2 s7 P" u( n9 f/ n" t
gpool(i,=[1 randomize([2:N]')' 1];0 l$ w5 X2 d- S' X6 }, R
for j=1:i-1
3 ~ `- g# j2 u: Lwhile gpool(i,==gpool(j,3 h5 D9 y% X+ i* A6 h4 r
gpool(i,=[1 randomize([2:N]')' 1];' L' S3 w6 B6 h( D5 J5 O
end
: U! d) p1 c' m0 z& Z$ e4 d7 J7 l end
& l( }' U3 ~" y8 r* K9 |5 Y- F end* u! y& g' u! }+ \
costmin=100000;
/ l3 D- N' z; p3 [; l; o tourmin=zeros(1,N);
7 f8 N5 p7 E$ l cost=zeros(1,ngpool);2 O# Y" S9 [& @9 y- i+ b
increase=1;resultincrease=1;5 V' ^/ ~7 @' Q
for i=1:ngpool,
. U8 s- P+ u6 H7 v( J cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));
) J+ s) n& r) M2 ^: e1 _& k end% R2 _5 n& B6 c0 s; U/ Z
% record current best solution
- @) I- W4 W- T8 w7 @[costmin,idx]=min(cost);7 a% O) Q7 ~* H. F0 S5 Y9 b- s
tourmin=gpool(idx,;
: L0 ], u8 u4 Z9 Q4 Tdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
9 ~. g& X, k& u' }( V& o2 j3 Tcostminold2=200000;costminold1=150000;resultcost=100000;" p& Z9 \ h3 ~$ g- N
tourminold2=zeros(1,N);
3 t6 c+ Y" a* z" d& l) o$ Q* |tourminold1=zeros(1,N);
- @2 w) h* @' \, u: Rresulttour=zeros(1,N);# U9 |( b. @2 O/ Q4 F+ p
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
) Z8 ?+ D) C5 |. ~1 j6 ~5 Kcostminold2=costminold1; tourminold2=tourminold1;
6 i/ W" O$ `: A @costminold1=costmin;tourminold1=tourmin;
$ L2 h0 G: |* Y, m& [) [increase=increase+1;8 d6 W0 y& {! P$ ~- ?" h/ r
if resultcost>costmin
, K# U8 L" g" O: c8 v. G resultcost=costmin;; ?( C4 b7 I+ E; Q
resulttour=tourmin;
) s0 T( \- G$ J4 r( t resultincrease=increase-1;
4 x; s2 Y4 u7 J$ } end
! M! U# Q) Y( R5 O: [for i=1:ngpool,$ t# [% [. Q7 w! a8 ~; w
cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));; Z' k1 {* I M. e+ z0 {& ?1 r
end* Q" r* P2 P% g" @, |
% record current best solution
/ w p+ p! f0 S[costmin,idx]=min(cost);
7 q w$ h- v+ a0 |/ b& E7 Ttourmin=gpool(idx,;
4 A- J3 B8 ~! R! K9 s! i% h%==============% M4 p# Y1 u' Y J1 z; X
% copy gens in th gpool according to the probility ratio/ }. E1 k& Q# y2 E2 |: C
% >1.1 copy twice# U0 k6 R% W* @, V) S+ ^
% >=0.9 copy once0 L) k5 L- O, j8 ^6 C2 u
% ;0.9 remove
9 x& l, D Q. t& m2 ^$ `[csort,ridx]=sort(cost);
% n; | z# G. L8 r! q% sort from small to big.
3 Z6 z! j5 P. }2 wcsum=sum(csort);
, n u1 h! ^9 U8 U/ ycaverage=csum/ngpool;1 Z4 r: _# ^- d$ ]! X. y' p
cprobilities=caverage./csort;
A/ r% f; W' N, X7 [; Ecopynumbers=0;removenumbers=0;
) I; B1 |# X4 ~) B! }* b4 yfor i=1:ngpool,
4 [3 J) J( b; k% ^" Z4 ^# I if cprobilities(i) >1.15 k, g7 n7 n8 Q; | D+ G! C
copynumbers=copynumbers+1;
+ O! f" S) h" K end+ V9 I% _: ?# d$ [
if cprobilities(i) <0.9
3 S1 Q* |$ }- @! k: F removenumbers=removenumbers+1;
5 f1 J% B1 I. s$ L. T3 i: ?9 d4 K end/ Y# A" g2 I# {
end- ?: z& W1 b- S: e# r
copygpool=min(copynumbers,removenumbers);
9 o" K1 {' {+ f( \8 y& f! x3 n for i=1:copygpool7 \ A" x0 a% O2 x. Z- x! r
for j=ngpool:-1:2*i+2 gpool(j,=gpool(j-1,;; W, U8 Z- N; u$ ^
end
; o2 `3 b U7 M4 s4 [( y! i gpool(2*i+1,=gpool(i,;; Y: W; G, P9 z$ r
end! `* f: |2 b6 M9 E" M
if copygpool==0- S; Z: ^9 L" `! ~6 ?* c+ o) M
gpool(ngpool,=gpool(1,;) `' I9 {: l6 |) J; S ^* w
end
) W) ~3 K3 L- w' x9 j1 Y%=========
& A, S# _7 [* q& c/ Z% \3 `%when genaration is more than 50,or the patterns in a couple are too close,do mutation3 a! G0 L! F2 D4 r4 k% K
for i=1:ngpool/2
: f) x, M" ?- D( Z %
: q! C% O+ N. Qsameidx=[gpool(2*i-1,==gpool(2*i,];
6 D" p, T# T( m9 u" [3 y5 Mdiffidx=find(sameidx==0);
0 `1 V2 `, {# ?' p# h if length(diffidx)<=2
# ]! E" B' a7 w/ U: S) L gpool(2*i,=[1 randomize([2:12]')' 1];* g/ O$ N; c& X q% B
end
- b I; J4 r# _' J n- y+ X1 p end- X4 \! d6 F' O$ R, Q$ ?) @
%===========
9 h; z7 E. j: Q3 u. O%cross gens in couples
: {% u, e4 [6 C2 a for i=1:ngpool/2$ b. a0 I$ U0 u& E/ q
[gpool(2*i-1,,gpool(2*i,]=crossgens(gpool(2*i-1,,gpool(2*i,);
5 P" z* d( q; w. g2 e( G, W7 H- U3 _ end
; ^4 {( E4 K9 H for i=1:ngpool,2 u/ F7 _' r, z+ ]+ K3 @3 R: }; m
cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));' j5 w0 E K! `" G: s* |- n
end5 ~1 m5 U* j7 ~9 ^5 t2 M
% record current best solution3 V) G: V! w5 V/ @. g
[costmin,idx]=min(cost);
+ K. ]$ N$ f9 s& s. H/ Y- utourmin=gpool(idx,;2 G& V1 h3 |- |9 x1 ^& p9 Q* i- j
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])9 _5 z$ t5 ?* o( V& v" A
end 2 q L1 G* J. {1 _# w6 r* [
disp(['cost function evaluation: ' int2str(increase) ' times!']): L' m5 _+ ]" G( ^, K; M
disp(['n:' int2str(resultincrease)])/ i' L2 g; v/ d3 y
disp(['minmum trip length = ' num2str(resultcost)])
" @ y; m# B) M( t+ d1 X& y6 odisp('optimum tour = ')
8 |+ \$ y8 o) x. T/ N: e4 ]disp(num2str(resulttour))7 r! C) ~; z6 G
%====================================================/ U2 B* g; I7 Q: H( w9 T1 D' {
function B=randomize(A,rowcol)# M& t2 [* K% o" s. ?& @5 c
% Usage: B=randomize(A,rowcol)
4 m# T* V# B1 ]; \5 V% randomize row orders or column orders of A matrix
6 y" E1 o$ |& Q( V: n. I% rowcol: if =0 or omitted, row order (default) Y) `' a2 H. C+ G0 K
% if = 1, column order& W2 w" @! F! Q% U8 ~( R. X7 W1 u/ q5 u1 K
rand('state',sum(100*clock))
A0 L! C# ~+ p! ~( w9 D1 h( xif nargin == 1,) R1 X# y) [( ^) H
rowcol=0;
% s! N+ n X$ o- r* }end4 a+ @! Q' i, i0 {4 M* Q
if rowcol==0,
. s9 u* W% W( H4 g! U [m,n]=size(A);% @# B% U, B) _
p=rand(m,1);& K& M$ A+ S3 t9 ~1 J0 ]
[p1,I]=sort(p);
4 ]" }$ W* B4 J$ ? B=A(I,;
6 H. {/ y* v& U/ K( K) Telseif rowcol==1,6 f# n' @9 N, @0 q! X7 {
Ap=A';
( @0 q1 Z% M+ _ [m,n]=size(Ap);
8 f, m- J6 ` j: a8 X$ |) H p=rand(m,1);8 H( ]( O- p) l1 Z$ V7 V
[p1,I]=sort(p);0 D* E+ u1 K, V2 m+ x0 u! M
B=Ap(I,';
" i& ^* ^! q8 P; }# ]end
8 v, i( t! @3 h9 H# O%=====================================================$ j+ Y) u5 }$ H: D5 S. S! w
function y=rshift(x,dir)2 Z7 d2 x" u$ w0 b- l% V9 `& m' N
% Usage: y=rshift(x,dir)
, {+ k. \ ?8 D6 `% rotate x vector to right (down) by 1 if dir = 0 (default)6 `9 S) `* k4 r5 o* Z
% or rotate x to left (up) by 1 if dir = 12 J9 E% T2 U S* I
if nargin ;2, dir=0; end
c! a8 {+ v& |0 ~7 y6 S[m,n]=size(x);
+ I6 \% `8 T7 `; S* k/ i0 @if m>1,
+ n7 H w) d; M, t7 E% l' Pif n == 1,
* h- X0 ? D# E# [1 ^6 ` col=1;# V5 Q9 z" A' ~, y v6 t
elseif n>1,
) ]- A' G/ T/ y/ J- f# }: l error('x must be a vector! break');
* ?, p6 g m& T4 D7 q5 y5 send % x is a column vectorelseif m == 1,
" P+ W# J1 C: i5 Y0 d& V/ O# _# U9 Sif n == 1, y=x;
, a3 G; ^* e D, }9 hreturn
$ x" P! ^4 `) C' w5 x( kelseif n>1,
# A# H4 _3 r9 e col=0; % x is a row vector endend/ I( _9 a9 }4 l" @
if dir==1, % rotate left or up! h6 |) t0 w: {6 ?' s
if col==0, % row vector, rotate left
6 v* v$ R# l: ~5 L- }7 ]9 e5 o" b y = [x(2:n) x(1)];
5 a6 o* e1 c8 s' ~ elseif col==1,) g6 u, `! ?$ y$ p% k
y = [x(2:n); x(1)]; % rotate up
/ m3 a& A% @2 ^4 U, O$ A6 @end8 V7 t0 S" R% u0 s; }( A
elseif dir==0, % default rotate right or down6 E. f' F' B6 \
if col==0,/ F2 q- n% C2 C1 f( M/ N4 a4 I \
y = [x(n) x(1:n-1)];; y' w5 M4 U+ [4 L; S
elseif col==1 % column vector
$ X* k* U) t4 }6 Z% J y = [x(n); x(1:n-1)];
^0 b. Z. x# ] end
, v1 Q1 o9 @5 Q, j0 `6 y) T& Y end
7 e- N" U2 ^7 a1 Q5 P; R%================================================== t% U% \5 T- l3 b1 X5 d7 ^! [
function [L1,L2]=crossgens(X1,X2)
0 j+ g: T9 x# M: x) F- P& d% Usage:[L1,L2]=crossgens(X1,X2)
; G/ t' t7 _ Z8 us=randomize([2:12]')';
; `8 J3 h" K$ v& h9 X3 Ln1=min(s(1),s(11));n2=max(s(1),s(11));
6 m3 _0 i8 }& _ @X3=X1;X4=X2;
+ `" O U1 h% w' Mfor i=n1:n2,' j/ F z, T0 O) E
for j=1:13,
3 z( g8 j9 f4 \& k1 N. g9 Q4 d if X2(i)==X3(j),: s/ U9 Y$ P( e; r4 r
X3(j)=0;) p5 X! {8 W6 ?8 H% R
end
& o+ \3 w J3 f if X1(i)==X4(j), X4(j)=0;0 i& u! U. [1 Q3 I6 \0 g$ M
end
) L# J+ j: o7 a end
" @! y! _0 z4 F3 N6 H2 w# C end
! r/ ]* ~$ q( y: W j=13;k=13;: w8 `! y- X% |$ J
for i=12:-1:2,
, a* g9 |: ?* _ if X3(i)~=0,' _9 g" n' v7 R9 T" e) v
j=j-1;/ O, K; U( R" m# i- p
t=X3(j);X3(j)=X3(i);X3(i)=t;
$ O. C( X& l4 E! H: ? n6 r" M6 a end
5 A4 f. s6 y& n) S0 H7 G/ w T' d if X4(i)~=0,6 D; l2 N6 X7 d- d6 ~, A# k
k=k-1;
# v8 E1 \, _5 G- h9 F' y- o: v t=X4(k);X4(k)=X4(i);X4(i)=t;
! v# D- f1 l) j. @2 G3 P end* R6 ~1 _9 ]- k3 U0 h0 F) E
end
2 [8 L8 M; U5 `2 `& N' _# H0 U* R8 P2 W for i=n1:n2
% h# S7 U3 w( F- F& q X3(2+i-n1)=X2(i);" F* f# M @! V% h# X) s* Q3 V
X4(2+i-n1)=X1(i);
3 d* }% U, E2 | O. }) P- F: y. a end) |1 Y2 ]! G) ]0 }$ }7 {8 a
L1=X3;L2=X4;" p% {9 s, Z( z. k* t8 j6 C
%======================= |
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