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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!!!+ b, X2 B A1 u- n4 f: w/ h
distTSP.txt
2 C# {4 z1 X G# P, ]+ A0 6 18 4 8
6 L$ z1 d+ h5 J; a c' |* c3 ]. }7 0 17 3 7
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+ y+ V; H) \) I( j$ @; [1 D20 19 24 0 22& B: s' A8 @+ A
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%GATSP.m# [1 ?- N, d7 _" `5 h; A) L: p6 c
function gatsp1(). C/ y, n* u3 y, |2 ]
clear;% S# T( ~1 g2 O3 Z
load distTSP.txt; R F1 N! c# }, y4 G
distance=distTSP;& q: x1 M4 h1 ^2 K
N=5;
j$ K* g; } _1 Fngen=100;5 r! s8 k# P. o6 a( j/ T ^2 W2 h& _' J
ngpool=10;
" `4 I+ q; B: ?# X! h%ngen=input('# of generations to evolve = ');' c B) e0 o2 H+ c0 [
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
+ a5 h6 B5 v/ lgpool=zeros(ngpool,N+1); % gene pool
. _" K' ]$ i h- yfor i=1:ngpool, % intialize gene pool0 Z l" ]+ }4 [, T7 Q0 f
gpool(i,=[1 randomize([2:N]')' 1];9 a, |" ?" p9 L, L7 _
for j=1:i-13 d' ~9 r+ X) k6 ^
while gpool(i,==gpool(j,0 [/ j$ c9 a& l* u
gpool(i,=[1 randomize([2:N]')' 1];: w- k6 y( a3 \" ^6 i& ^! \
end
- q g; s: z3 @8 C- o# s end
' A2 p' r4 Z2 I* T end
* [ ~/ D6 L: {6 |% u! bcostmin=100000;
/ M w2 I2 N0 i; d! \5 B tourmin=zeros(1,N);
( C+ P* r7 b3 S; G, z9 O2 u( e cost=zeros(1,ngpool);
9 _0 k9 k% G2 A G; a2 G( V; }. Uincrease=1;resultincrease=1;5 Q9 X# L0 c' `$ n
for i=1:ngpool,
2 M( y |/ e; R cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));- D" N% |- _; j1 F3 M' O6 W7 W. _
end. k, V& x3 q% v' i6 [) V
% record current best solution
- G' C( t) ^$ S3 ^0 ?+ J$ R8 `[costmin,idx]=min(cost);
; E. g3 p' f% b1 y0 o9 ?tourmin=gpool(idx,;
5 `* G3 F* w. b! Kdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
9 Y" [: d: [. |- c( c& |" g: Ncostminold2=200000;costminold1=150000;resultcost=100000;
+ Q/ \- f( F( a- H& }' w" Atourminold2=zeros(1,N);% C7 p( l) N, I( [1 `
tourminold1=zeros(1,N);" ^4 B) h; @* l+ i4 ~5 W# K8 }: o: j
resulttour=zeros(1,N);- m7 a+ z4 W" J. C7 L
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)" y$ }, I% l+ c9 _1 Q& @
costminold2=costminold1; tourminold2=tourminold1;
$ L" G$ m1 d+ z4 J6 Ucostminold1=costmin;tourminold1=tourmin;$ S3 F( G$ M* P
increase=increase+1;
$ V. s+ E* S' D2 aif resultcost>costmin
: D( O( d" B* c8 ?5 g0 M5 E resultcost=costmin;
1 i( M# H2 P4 f7 q# N2 n& J resulttour=tourmin;- a& } m* |4 v6 L2 H
resultincrease=increase-1;% R, i4 K" H3 y6 S" D/ }/ j
end
. Y4 [7 u0 J5 f: cfor i=1:ngpool,
' p' a3 ^) Q& v; J+ v8 B3 [ cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));# v; }! t* Z" N& c8 K) b
end; W8 w2 `- a& V& G: }
% record current best solution
; V: R# A5 ~% `/ U[costmin,idx]=min(cost);. |$ B5 J3 R: }4 T
tourmin=gpool(idx,;6 X. d( E& v X
%==============
. u( M- r0 a/ K( z; G' a: F* X" W% copy gens in th gpool according to the probility ratio
@7 b. e. P! \: u9 p- e% >1.1 copy twice
$ |) _3 G% v$ Y, D% >=0.9 copy once+ O! g. Q0 n& | X1 V
% ;0.9 remove1 f2 Z) T" J/ C# l7 N( R
[csort,ridx]=sort(cost);4 L7 G% r- o3 R* P
% sort from small to big.
. d7 U6 N3 S' g/ d8 I( |3 Jcsum=sum(csort);
7 T1 B( Z0 p; Z/ `, X, ocaverage=csum/ngpool;; {# b! P% A, e" [1 ?& M* l# O
cprobilities=caverage./csort;
' H. }" v0 v& o7 [4 p3 M+ d/ ocopynumbers=0;removenumbers=0;
: T0 j+ L& w. q6 |( D" Afor i=1:ngpool,
& c6 J) i4 h8 A if cprobilities(i) >1.1
2 a" ^9 C; P1 E- t copynumbers=copynumbers+1;
+ u+ P* a/ H- k$ R end p, @" d. T4 y% X5 c9 t! }6 ]2 T
if cprobilities(i) <0.90 A7 q; F" l. _1 y5 ^6 j8 u
removenumbers=removenumbers+1;$ K( v! T; c& @2 Q5 z8 |& B& ~/ v
end
+ a8 x: c( r8 ^* X9 I* T# F7 o# S end
8 [* {% J% [$ f2 Q copygpool=min(copynumbers,removenumbers);
, a" [$ @# h+ ?) V for i=1:copygpool! R! w7 @0 X/ A1 f
for j=ngpool:-1:2*i+2 gpool(j,=gpool(j-1,;/ i: N/ E5 z% f5 g; _
end, L7 A* O: \( j1 M) d) t
gpool(2*i+1,=gpool(i,;
& y4 u1 O; I' z1 r) ^ end8 c( |* T4 C, {& o# N5 U% x
if copygpool==0; a0 W' \+ p6 n$ C. g
gpool(ngpool,=gpool(1,;
" B3 g+ h4 I- Q0 u8 b7 i5 D2 ^ end
) _/ L @5 F, E, ?& A" }. q%=========- {* J) x4 {/ @4 J& ]- f: }
%when genaration is more than 50,or the patterns in a couple are too close,do mutation# N( T" ? _4 ? }8 I9 A
for i=1:ngpool/2, U& |% C/ e( B. R. Z
%2 I" W3 `/ l5 l( ~5 o
sameidx=[gpool(2*i-1,==gpool(2*i,];
2 b6 Q* |; i/ G! I$ mdiffidx=find(sameidx==0);
" r& U$ T0 U! g' u if length(diffidx)<=26 e, z# ~0 Q& k" Y( M
gpool(2*i,=[1 randomize([2:12]')' 1];
$ e: D v8 U7 I H$ k& t1 j+ F, e end8 [+ w8 \) O9 T3 b8 ?4 a
end
& @# ]- R5 e$ N%===========# o$ m1 N- W' F* C6 A- y
%cross gens in couples
( Z. Y6 g# o" y& Q0 `& ~4 s for i=1:ngpool/21 Z. U+ R% _0 ]4 V4 ^/ X
[gpool(2*i-1,,gpool(2*i,]=crossgens(gpool(2*i-1,,gpool(2*i,);1 W4 b' `! B+ g3 ]' S
end
: X( u& Z9 h- O' z" @ for i=1:ngpool,
- V7 I" Q C$ d8 T1 `5 n cost(i)=sum(diag(distance(gpool(i,',rshift(gpool(i,)')));
( @+ O) y7 ?+ w end# S( [- E" `3 ~
% record current best solution# [4 t9 E0 {, |
[costmin,idx]=min(cost);
+ b0 `0 o+ T( L$ T" m ctourmin=gpool(idx,;
4 p8 ]' y7 B2 g2 f- ^disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
8 ?8 b; g$ E+ S. O4 Z5 xend # O# L0 Q" p1 u5 X. O: \9 @
disp(['cost function evaluation: ' int2str(increase) ' times!'])$ V5 d9 H/ A' {4 s+ |& j* C. _2 @6 q
disp(['n:' int2str(resultincrease)])7 |3 x- L( g7 V
disp(['minmum trip length = ' num2str(resultcost)])3 F4 `6 }$ V4 w' B9 U
disp('optimum tour = '). k5 c8 D/ ^. Z! ?0 {
disp(num2str(resulttour))
- c# I0 h2 E2 R%====================================================
, t7 a. T$ P" u+ ^2 m6 \function B=randomize(A,rowcol)
# D7 Y7 c: U9 Y1 o4 n+ d0 M% Usage: B=randomize(A,rowcol)( d: ~ p% }' V: q! D
% randomize row orders or column orders of A matrix# O/ k1 _" C. B+ h) @
% rowcol: if =0 or omitted, row order (default)
) |3 x5 o2 W# u8 ]- f' Z% if = 1, column order- e( }) b$ W( Q& |. {/ y
rand('state',sum(100*clock))+ `2 e" D# V2 u, v) w
if nargin == 1,+ D0 C3 j8 S$ I/ e5 E
rowcol=0;% e$ e8 e# y: _8 ^: q9 u2 [3 x
end
, T t/ g, Y* Y* m: o. ? if rowcol==0,6 G _" D |; O
[m,n]=size(A);8 C1 T' Q1 s' e
p=rand(m,1);
0 Q% k# R/ |" P$ L; F. W [p1,I]=sort(p);
' z4 L: W! B7 C4 \: Q B=A(I,;
! J6 J+ }4 z, f. L6 V8 celseif rowcol==1,
. t) r7 ~/ u$ |: X! \, P# ^& W Ap=A';& ?# F1 s) ]* j
[m,n]=size(Ap);
& r& i0 F4 K% e9 K p=rand(m,1);
( X* x, s0 k+ Y5 Z [p1,I]=sort(p);* B8 B7 \3 I& B7 V
B=Ap(I,';& l/ I( \/ y5 D1 t w
end5 \: Y. ^' S9 D" ~
%=====================================================; m' o" T% Y7 @! ]
function y=rshift(x,dir) u2 H; H& G3 ~2 V
% Usage: y=rshift(x,dir)( T' h5 p: ?7 }" D$ B
% rotate x vector to right (down) by 1 if dir = 0 (default)
2 F. A j/ c; y$ _" T% ^8 o% or rotate x to left (up) by 1 if dir = 1
0 L8 |) i7 P. K9 y6 a' S4 |if nargin ;2, dir=0; end
- a7 t! }- w4 v, V# X3 q[m,n]=size(x);. m" J& [2 t; t4 A. ]
if m>1,
5 {' A* h8 ]% O9 l4 a* W7 aif n == 1,& [6 ~. d, y$ a* x* D
col=1;; }% \7 g/ R% y' Q6 P0 m
elseif n>1,
% I* @ {2 {6 I error('x must be a vector! break');7 p- P8 ^- \1 j! _: X
end % x is a column vectorelseif m == 1,7 [+ [1 E. x# ^; \- @
if n == 1, y=x;" E# \# n, y# l) E
return
: K; N k4 J6 p9 a: welseif n>1, v) I* J" E2 r2 P* j
col=0; % x is a row vector endend* J9 E& R; I0 A k0 H
if dir==1, % rotate left or up
3 M9 d& O9 r& j4 R& u5 N if col==0, % row vector, rotate left
. h6 X) K% ?3 t2 O( i- ]9 R* t+ N y = [x(2:n) x(1)];- R' H K6 N {7 b. m- h9 r4 c
elseif col==1,
2 v6 s4 N9 F0 ~5 [ y = [x(2:n); x(1)]; % rotate up
0 C. i8 }, h1 ?8 _3 J5 h! H0 ]5 Iend' w7 A! r% e1 G+ k2 M7 ]/ y
elseif dir==0, % default rotate right or down
5 u! {( c0 ?: |7 u1 P if col==0,
1 Q' Z0 ?& z% e+ b y = [x(n) x(1:n-1)];8 s; v& N7 Z8 X7 p [9 O- c) i
elseif col==1 % column vector
9 b) Z$ [$ f* O$ |/ _: q6 S9 [ y = [x(n); x(1:n-1)];4 V- z4 _( t+ C# T4 t, p( @# i
end; J5 X6 y4 X* z7 P
end
. g2 L/ e3 X: ~) z! j: N%==================================================
" p9 l# Q* J# J- Ifunction [L1,L2]=crossgens(X1,X2)7 Q9 c. t! j, A" n% R7 j5 z+ W
% Usage:[L1,L2]=crossgens(X1,X2)7 i6 n3 {: W2 [- y$ F& s) U
s=randomize([2:12]')';
1 W) V+ p9 y: `4 ?n1=min(s(1),s(11));n2=max(s(1),s(11));' Y# v$ `+ \/ ]/ ^# C
X3=X1;X4=X2;3 [) u: |+ u5 Y1 u5 J5 S$ u# q
for i=n1:n2,
0 A; V6 T* k1 i5 b* r; L4 b for j=1:13,
: D+ A$ f Z" k. D( I7 T! ` if X2(i)==X3(j),
9 W% P, z& S# _$ g8 l _3 m. y X3(j)=0;# A6 k- B) W1 H) [3 }- x
end% e* M0 ]( t d+ D& v2 }
if X1(i)==X4(j), X4(j)=0;
& b0 f4 A$ w f# @* p end
7 f2 k3 z% O) Q/ y$ u end
1 W& ^$ }6 f6 Y1 w end
. n# v L8 G9 ~$ p: g1 T3 V' o K/ e j=13;k=13;
- ~7 p: R( Y( x/ t. }3 T" w for i=12:-1:2,- Z5 J4 y2 Z9 f3 ^7 B. M' V
if X3(i)~=0,
7 H; v- F+ T! m8 ?. S/ A, g8 o1 M j=j-1;8 z9 k, {7 j0 a: t" N
t=X3(j);X3(j)=X3(i);X3(i)=t;2 e N2 s" V; T& g( k% W
end" l4 m+ _4 q9 c
if X4(i)~=0,7 I- Q5 }5 `& z0 l8 ^( d
k=k-1;+ z9 W. b6 {2 _. A9 P: t1 w
t=X4(k);X4(k)=X4(i);X4(i)=t;% d/ u1 X" G2 S C, N& i$ V( D2 B
end) ~1 c) L- ?3 f2 g7 Y+ `
end% ~# D, {1 J; x- b6 a* q2 Z8 X
for i=n1:n2- T5 Q4 v: n9 e3 v. C* o
X3(2+i-n1)=X2(i);
. U3 v$ z- C m, g) a/ V X4(2+i-n1)=X1(i);+ L1 S, h8 m. X! h, P" {
end8 R0 L" l" W$ Y7 d
L1=X3;L2=X4;1 Y8 ?, K$ A% e3 |% {
%======================= |
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