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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!!!
8 z0 S+ `% R- X3 G. F( A( L! X/ hdistTSP.txt
* b2 o0 r$ |) Q8 _! U# D0 o0 6 18 4 8
5 L; ^: \' N% O, V% b8 x' O& r8 E7 0 17 3 7
7 {1 X% v8 ?- ?7 }( z' E' O4 4 0 4 5/ n( z; r# S. y' y
20 19 24 0 22
- ^( V$ U2 \4 l; H8 K5 r* I# e8 8 16 6 0( P9 i( q8 L' ]& y
%GATSP.m9 M4 M8 k1 j4 ?# K! G0 B# p5 S
function gatsp1()9 n% c$ T G- p" Q
clear;
5 [/ r5 G5 C2 g# aload distTSP.txt;
7 g k( s$ h% Z( k' cdistance=distTSP;
( P$ h, T/ z% yN=5;, V4 \! V) d8 w
ngen=100; |- u' R! m1 P D5 q4 a6 D
ngpool=10;$ h/ S% n# J! `3 ^9 p) w" g
%ngen=input('# of generations to evolve = ');& W. s. o- B4 A' H
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool a; L' [( q1 \; Z2 ?" r% c
gpool=zeros(ngpool,N+1); % gene pool
) z- W2 y4 g. s& o6 G$ W. pfor i=1:ngpool, % intialize gene pool2 r' x5 j. y9 O* q1 T
gpool(i, =[1 randomize([2:N]')' 1];
8 `" r9 k% s0 p. R2 Xfor j=1:i-1" _' a5 f+ m: {7 [% R% z) o* j. {* C
while gpool(i, ==gpool(j, 9 X: Y. ~ g8 S0 k# \1 `
gpool(i, =[1 randomize([2:N]')' 1];
6 C, c: j7 S3 F( S end
+ s, d( B. j1 E end; q+ y- q9 N. G
end) ]- b2 F! y/ a7 |6 P
costmin=100000;
* r7 W! v( D; F/ y7 V" m i. a" V tourmin=zeros(1,N);. P9 {+ \ ?5 u# ?
cost=zeros(1,ngpool);
$ U" @5 p# \; y rincrease=1;resultincrease=1;
# }, L# |% G. n for i=1:ngpool,
$ x" Z! i! j: P cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
7 ]% r( F, p. |/ [4 a end
7 I5 C" m! H& G8 m% record current best solution* Q: o/ Z' Q$ m. z% ^0 d. f: U( a1 V
[costmin,idx]=min(cost);
1 L+ _6 x& Z" D$ w& g9 Y* w" btourmin=gpool(idx, ;
) J- M2 O1 @: @disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])1 d. X, {1 E3 w+ W& E
costminold2=200000;costminold1=150000;resultcost=100000;( Q3 v/ `: E8 y+ ]4 D6 H$ f# Q4 I
tourminold2=zeros(1,N);/ T& |& w* v* v7 f8 J! d# k! n/ @+ p. y
tourminold1=zeros(1,N);
# z7 H( Z, @4 [. w" \resulttour=zeros(1,N);
2 }& _& o7 \9 W/ D& ?while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
" w, P: F: l2 t, G2 B( Y( k9 q acostminold2=costminold1; tourminold2=tourminold1;
! N6 ]' c( @" N. ?& J% ~$ {costminold1=costmin;tourminold1=tourmin; v( _6 k) V, j
increase=increase+1;
* }/ [/ g# N' z* Q$ K# y- c2 qif resultcost>costmin
. u9 R, z% h/ V6 W9 D( D: {6 R; d resultcost=costmin;8 K4 D q. |9 f0 v) I6 b
resulttour=tourmin;" ]# _- G8 N9 n+ J
resultincrease=increase-1;0 e# l# T( u" M' a3 F
end+ u, s, k7 d. Z- T, x/ _
for i=1:ngpool,
9 h) C$ H: u6 ^9 ? X6 h M2 ^ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
e" b* h3 ^& yend
) Y% B+ T1 \9 N1 z7 }, q% record current best solution
/ U6 c) n1 W) }5 A) ?[costmin,idx]=min(cost);
9 N7 }0 v5 y4 l5 d2 ntourmin=gpool(idx, ;. Z, G [+ K* X! S* n8 X, {
%==============% i! G2 g# c1 s7 S& ?6 }
% copy gens in th gpool according to the probility ratio
4 Y8 Y0 f" W G- W$ m5 c3 _% >1.1 copy twice
; `2 K9 _% g, s" l% H, d% >=0.9 copy once ~: R- P; p$ c% d" L2 ^ C- W' {
% ;0.9 remove
; A, q5 z& v" C, F: ?- W[csort,ridx]=sort(cost);, L" _9 @% E. j" k. u0 V2 {
% sort from small to big.
$ b4 @/ J9 u, I! q4 fcsum=sum(csort);
f; [% G+ X* a& Rcaverage=csum/ngpool;
. G6 @) Z! C. P7 H o/ gcprobilities=caverage./csort;8 R' _, s& {4 V/ `3 I. T s
copynumbers=0;removenumbers=0;% v# p9 Q- r/ m; Y' s
for i=1:ngpool,* o( w7 B6 F5 a0 A% O7 A& o! v9 p
if cprobilities(i) >1.1
) t8 w5 o' H7 n; m- n1 d% q; N! ~ copynumbers=copynumbers+1;! B$ y4 \$ D* U
end% A# h) J2 c1 c; o+ } }. F' i: w
if cprobilities(i) <0.9
( R: ~: h6 D2 q8 X( D- k1 z removenumbers=removenumbers+1;
& O( H- [8 |5 D/ v end
$ E- s) |8 Z( _6 C* ] end
. h: y0 i$ t/ c1 z copygpool=min(copynumbers,removenumbers);
4 D% v0 C* C8 J7 |) B* C7 _ for i=1:copygpool4 `5 q) ] J( g$ F V
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;1 L7 o, }; D7 d, v/ Q
end# Q9 E% X+ O1 N" c! `2 Z
gpool(2*i+1, =gpool(i, ;
* [. d5 [+ f3 C8 s( E end
, T# Y! t9 p* G& _ ?0 |: C if copygpool==0
]3 y: F: h( e8 R% V" N) h gpool(ngpool, =gpool(1, ;
/ f; @3 B. x R! p+ K5 I* J end1 ~" @, H1 O8 g! w1 A4 U1 s4 c
%========= u' F1 U8 H2 @" f7 K4 a( I
%when genaration is more than 50,or the patterns in a couple are too close,do mutation4 ^/ h( e/ G' V
for i=1:ngpool/2# s. s. i1 A2 Z2 p7 h: b+ X
%( C8 C$ _5 I# Z! H
sameidx=[gpool(2*i-1, ==gpool(2*i, ];0 S2 p) {2 {# b" n. [
diffidx=find(sameidx==0);* l% z; w; s' n! k2 c
if length(diffidx)<=24 r; Q* O. H5 H& ~8 \- B$ Z
gpool(2*i, =[1 randomize([2:12]')' 1];. D7 y- i. M) X9 Z6 M8 j4 W
end
( w/ \& W( X0 A, p n! g end9 j" P" X1 z1 `( |) ~3 Z- X/ q% \# |
%===========
" `7 ^, V6 J( Q3 X2 K4 w+ {%cross gens in couples
, P8 z& B9 e! h/ g, v/ x for i=1:ngpool/23 T& w: K$ U* d5 B1 e2 m5 k- ^
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );6 s! j/ j" D1 M" r$ R2 S
end
$ C8 t3 u+ l8 e7 F' B! s for i=1:ngpool,
& `5 I$ _6 d' O, B* Q8 m! A& V) r cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
7 @# Z+ Y& N0 A end$ n) E5 @7 L K9 W4 s" c
% record current best solution
$ s" w( [5 m2 B+ ]3 r[costmin,idx]=min(cost);
! \1 w- i" t# T. X" B) _" Z" r; Itourmin=gpool(idx, ;, O3 c8 t4 u5 q. K* l
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
9 o9 a% {- ], r* t: i/ ~end 1 S. f4 s' x; y8 |3 t9 o' b5 h
disp(['cost function evaluation: ' int2str(increase) ' times!'])
- ?$ l) e& e/ { I9 I- |disp(['n:' int2str(resultincrease)])
/ @7 y; O8 m3 F3 }+ E1 g: udisp(['minmum trip length = ' num2str(resultcost)])
5 ^0 T: e Y& h. P' kdisp('optimum tour = ')
0 Q8 c+ _5 Q5 m/ O8 ddisp(num2str(resulttour))
: Z- c4 r1 D3 \%====================================================
$ R+ X/ M$ h3 J: i$ E' sfunction B=randomize(A,rowcol)6 R' ]9 ?5 \# o' c! X/ M# x' a+ I
% Usage: B=randomize(A,rowcol)
8 g0 o! E: v7 Y/ X% randomize row orders or column orders of A matrix
4 t3 @9 l4 |2 m% _( U- n, [% rowcol: if =0 or omitted, row order (default)& W1 Y. ^! q/ A+ d5 g
% if = 1, column order' w$ l! S, D( G9 {5 o8 z
rand('state',sum(100*clock))" ^; q; I) U6 P" d
if nargin == 1,4 r; H) O1 l U) G& ^
rowcol=0;. U3 R8 \# m+ o9 l8 _- c0 _
end
: W" K- w; L" b7 m$ ~0 ] if rowcol==0,
7 u! |, K. Y9 n% p, B9 c [m,n]=size(A);
' V* Q+ D! t6 l; X+ [ p=rand(m,1);
A- I, G2 i% R7 r [p1,I]=sort(p);: g# l" k2 p9 M
B=A(I, ;8 A D% e/ K) X5 P) [6 x- b) N
elseif rowcol==1,
4 s" c& N* H) ~ Ap=A';# u8 |1 z( z% A6 f
[m,n]=size(Ap);
* s9 A: ~/ E$ u0 C& I p=rand(m,1);
/ r( N" _- I, S( ~; x [p1,I]=sort(p);; m& o2 m! O: y0 O3 z
B=Ap(I, ';
& R& T3 k0 N% i$ S8 g7 iend
, C, `7 Y: [( Q+ {! G( n%=====================================================
; l, o: \3 {9 k4 p. K' \function y=rshift(x,dir)
' C0 c% E6 G n$ v9 P }. W+ z- t1 L% Usage: y=rshift(x,dir)- `- H5 O9 ^( _( A) ?5 W! l* r5 T+ N: M
% rotate x vector to right (down) by 1 if dir = 0 (default). N& e C* K: u
% or rotate x to left (up) by 1 if dir = 1- ~" `/ B, o) T+ ]! F$ w- |
if nargin ;2, dir=0; end
3 L" L }* N9 R4 I$ @[m,n]=size(x);8 N( x. Q( L& ~8 a9 `5 y% P
if m>1,
8 b( w# V# r6 T4 n+ pif n == 1,9 q, z( Z& B# L, {, t0 g* D
col=1;2 m8 C# q8 t2 h" `, F( a+ W; m7 P$ Y7 h
elseif n>1,
7 ] w% t+ D1 p3 _$ N4 y f5 X! Q8 ]* z error('x must be a vector! break');8 z2 ?- c& ~& I! ~+ ^; m$ M
end % x is a column vectorelseif m == 1,
: i T1 ?( {0 Tif n == 1, y=x;8 Y* \7 \4 B5 O1 O/ ?& l: J
return5 D% f$ J+ h l- W+ B* }
elseif n>1,
7 _3 C" w* h3 x& ?' n( F* O' e5 B col=0; % x is a row vector endend9 C( D0 y+ H! c- k
if dir==1, % rotate left or up- C7 Q" n2 l9 N7 R- [: z$ H
if col==0, % row vector, rotate left9 G7 i# A/ \; O* S$ p i, g. {* U
y = [x(2:n) x(1)];9 |5 d6 P; [* ]' B1 ~
elseif col==1,: e' v6 F6 r9 E$ n( W- x1 m6 a4 k
y = [x(2:n); x(1)]; % rotate up
/ D- F$ }6 y: c0 e( _1 w; zend
, d) p9 B0 X; C; J0 x elseif dir==0, % default rotate right or down
8 i# F4 w* k9 \( V5 ]" W if col==0,5 T" D# M0 E, K1 o
y = [x(n) x(1:n-1)];
# {' _: _' p) S3 w- w0 l elseif col==1 % column vector( j' b8 O4 \; ^8 ]: u
y = [x(n); x(1:n-1)];
/ m: z4 i2 h: c9 G6 _ end
# K: {0 j# {( C8 B end. {/ g t( E8 V: P/ E% q
%==================================================: A+ b5 v d, a+ s: \5 V: k4 |5 b
function [L1,L2]=crossgens(X1,X2)$ y% Z" O( d4 q# b/ c8 l( j! x
% Usage:[L1,L2]=crossgens(X1,X2)7 B! v0 i2 a) ~2 S0 |7 |
s=randomize([2:12]')';
( n. L6 M3 r0 Kn1=min(s(1),s(11));n2=max(s(1),s(11));' i" T9 p+ C3 q% a% B. X
X3=X1;X4=X2;
+ I" r; Y7 U1 X2 j$ O, p4 Tfor i=n1:n2,$ y! e' b6 |# ^1 C: J6 L
for j=1:13,
0 e/ ^3 r, Z8 H1 @ if X2(i)==X3(j),4 B+ k7 l' N4 u6 ^) x- c
X3(j)=0;; x( c4 z1 S9 r5 Z9 p$ \: H
end, B7 Z; ?2 H2 \6 l: L7 }$ n
if X1(i)==X4(j), X4(j)=0;* X8 ~. u4 ?2 C2 v, V; O
end. B9 ]) s0 M3 X
end
6 d# T& { I+ |+ ~/ R" @% v end; V) k0 A( L* M/ \: p5 {
j=13;k=13;$ m5 X T& j+ d! B- a4 y* t
for i=12:-1:2,
/ @* \4 g L7 E2 K4 m; ] if X3(i)~=0,
. r, c1 L, J6 A0 S# t j=j-1;
* j, J' u1 r% } Z' v6 s/ [4 x t=X3(j);X3(j)=X3(i);X3(i)=t;! ?% l, b: |5 h' D
end
8 k7 V6 G& H3 S, G# V3 } ^ if X4(i)~=0,# ?0 w M8 C3 \( S2 b. v# _8 V
k=k-1;
% U) k0 g: T0 Z t=X4(k);X4(k)=X4(i);X4(i)=t;0 G& |$ X6 k: R) F( ~% d
end. R1 J5 M2 Y3 _2 h0 {5 F
end1 h6 |3 @4 T3 L+ ]" D1 ], R
for i=n1:n2! j! f9 [0 _9 Z$ m
X3(2+i-n1)=X2(i);
$ C" X+ j+ {4 N/ L S2 Y X4(2+i-n1)=X1(i);$ |3 p: L2 N; L3 T) u6 r9 ?
end
; P) M3 o! h" M# F: d) pL1=X3;L2=X4;0 s' n- W# n4 m4 o+ }/ I6 n6 B
%======================= |
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