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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!!!
4 U3 x* b/ @9 K& `' t. L3 BdistTSP.txt; |: c4 t8 J1 u5 j8 u
0 6 18 4 8
" R4 K6 |2 `7 c3 @7 0 17 3 76 j9 Q( n) J, o* y4 X: g2 _0 w
4 4 0 4 5
8 ^% ?7 w5 U- P20 19 24 0 220 L# n/ u) t) J7 L5 J+ z. w' x
8 8 16 6 0
1 V/ i3 l$ j/ A5 j%GATSP.m8 l) o. ~1 Y1 o
function gatsp1()9 u8 L g [+ a+ d9 H8 t: v
clear;& @8 {3 l% {% @& Z
load distTSP.txt;. H2 ~0 r/ q5 ^. M x
distance=distTSP;
$ s; r& b4 L2 j8 O/ [! v$ \! fN=5;: z, w. o5 A% n( R v" A0 h
ngen=100;, R4 d, ~5 i, U: N
ngpool=10;
% }6 ^$ V, F: l2 ^' q- k7 K7 `%ngen=input('# of generations to evolve = ');5 `! ?4 S7 g6 P" S
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool' l! {8 N2 p, ]: X1 K' l
gpool=zeros(ngpool,N+1); % gene pool( v' Y6 I" F7 r& ~" C' [- L, r
for i=1:ngpool, % intialize gene pool
0 e, k6 F- ]* r8 w" ]gpool(i, =[1 randomize([2:N]')' 1];
; B9 _' v7 _2 W( L' c, b/ Zfor j=1:i-1
: v6 R6 p" a* m$ X) n, D! L owhile gpool(i, ==gpool(j, , ], G. K# k% z1 |7 e/ B
gpool(i, =[1 randomize([2:N]')' 1];
* H! k2 f, t- s- l( K end, j5 X9 x( o3 J% O! O
end
2 @2 _) U8 @) u) P* l5 ? end
8 R1 N! a. M& M6 b0 ~' Ocostmin=100000;/ Y. z _* l6 N# ], F
tourmin=zeros(1,N);
2 T4 l. }7 M9 M3 O cost=zeros(1,ngpool);0 v0 @+ s( l- w5 A/ ?2 R
increase=1;resultincrease=1;% b& [$ N2 U1 A# s2 P# E$ b) Y
for i=1:ngpool,4 d! ]5 @! G9 N% |
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));5 b1 v v! r/ L4 d4 l M# f6 |0 k
end7 h/ j7 Q9 v7 o; |
% record current best solution
" N2 H! T! ?; Q[costmin,idx]=min(cost);* x; I4 @* X' z/ N* \
tourmin=gpool(idx, ;- }1 ?. Z2 X! L: d
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
) B+ b: ]# ]0 X8 a# ?( q8 {costminold2=200000;costminold1=150000;resultcost=100000;
% x6 \ d% Q% o ctourminold2=zeros(1,N);* [) F7 J) J6 {' F- M- F; e
tourminold1=zeros(1,N);
3 E/ W) Q8 I% j, F* [0 @+ z' e2 T( Yresulttour=zeros(1,N);
) T+ z( p* o8 i& x+ ^while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
( K1 o0 F" V; [9 g# k' g0 rcostminold2=costminold1; tourminold2=tourminold1;* n( O; I X( T/ l: c7 J
costminold1=costmin;tourminold1=tourmin;
1 ]4 y8 Q2 K( _increase=increase+1;! I& v8 i& I3 C, H1 e0 ~5 B
if resultcost>costmin6 k8 y3 X+ N8 M) ]8 |; I
resultcost=costmin;
" S8 W* c E; D resulttour=tourmin;2 I, N- \* h$ q u
resultincrease=increase-1;" R" G) F0 r. v
end5 C7 ^5 {( x% e6 [$ _
for i=1:ngpool,
7 V% M* W N- Q/ r! M cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));7 a8 {5 P4 b; Y6 S6 D8 s9 z
end
1 }1 K. x: ]& T% record current best solution* T. O: z% ~- z3 G) _6 W9 T( p
[costmin,idx]=min(cost);
8 B) O+ x! V5 O9 u& ~tourmin=gpool(idx, ;! H, J5 ^$ p! M/ j9 Y/ Q
%==============. G2 m( p5 n3 j/ _' Y6 F6 p
% copy gens in th gpool according to the probility ratio
$ r+ T( ]" w' C2 R7 M9 c$ ]9 Q% >1.1 copy twice
! B( a$ y5 F$ d1 h/ Y% >=0.9 copy once
- @* H0 J" ^8 h7 a U0 q( C) V% ;0.9 remove Y7 l e, z8 t8 I! I' }7 E
[csort,ridx]=sort(cost);% l1 m! J& x1 L0 S9 S }- w, d
% sort from small to big.
& i2 h }6 |+ J5 hcsum=sum(csort);) B1 {5 b- x9 r+ e
caverage=csum/ngpool;: d7 X1 t1 R* i0 h2 L' z4 V
cprobilities=caverage./csort;3 f' D0 i2 j% G" f
copynumbers=0;removenumbers=0;) g0 \2 p# X) G3 T# w
for i=1:ngpool,* C! |! a6 N$ T
if cprobilities(i) >1.1
/ k8 i5 l- @# h5 o( S8 _ copynumbers=copynumbers+1;
8 S% U- _$ P( C/ F0 X" G# K# @ end
& g4 ^7 `( E2 m6 d+ u if cprobilities(i) <0.9
7 L6 \) m, a* [+ `5 y removenumbers=removenumbers+1;
# J* H0 y6 R9 N; Y end2 q" l+ L* T, r# y
end
3 n/ Q5 j# q4 O$ L7 |6 ~ copygpool=min(copynumbers,removenumbers);
' y/ e. L. z" J0 J9 ]- i5 I _ for i=1:copygpool
# X) T; h4 o8 P& D4 K. V& U9 ~ for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;& Y0 w9 o$ ~) I) c) J
end) T+ p$ m* ?; R, }; Z1 M: B
gpool(2*i+1, =gpool(i, ;
% M' C. h) m: F3 \: s- i" ]& Q end
- X R. N! b7 P if copygpool==0: D( r" |7 M8 B% p B- K/ l
gpool(ngpool, =gpool(1, ;
6 L1 \3 G& B2 `7 x y; H end
q$ f9 z: a9 [: b; I%=========
_) \# K# W. g; e! b%when genaration is more than 50,or the patterns in a couple are too close,do mutation
: I4 E& j0 J% g! n2 }1 ?2 ]' Mfor i=1:ngpool/25 f5 G3 j- u+ P$ A, h
%2 }! Z f/ S, A2 q1 `
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
' {3 c$ e) g! Q, W4 Sdiffidx=find(sameidx==0);+ Y0 G1 U6 P: x8 A0 I/ r
if length(diffidx)<=2
4 |( y& R( F' P( \& @ gpool(2*i, =[1 randomize([2:12]')' 1];
3 L2 {: L. I/ a end3 U. U! ?+ s1 W/ A$ k+ a& U
end
- ~# b; l+ U8 _( a* Z+ ^2 P4 G%=========== c2 w: q7 m0 H3 b* A
%cross gens in couples
9 M& w0 I3 c. J: n1 J for i=1:ngpool/2
' W7 b% ?6 l. _! p/ N- l [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );. t$ B5 f# m* x5 P d1 R7 }- t& Z) Z
end
5 C( f1 H" ^: q6 Y! M# P for i=1:ngpool,4 W7 x1 t9 s5 W$ w
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));2 {" r& `( c/ i4 z1 E8 m% |% j
end
$ I: ~) m0 {! ]2 U% Z) ?0 H: V% record current best solution5 h& u1 t3 b5 l5 M. F
[costmin,idx]=min(cost);
4 _% q: G$ M% i7 C `* m/ s( s4 R8 ?4 mtourmin=gpool(idx, ;
( v# {! C( V5 Y+ L' U% i/ @/ _disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
' w: d7 t' P2 H2 x2 Jend
% Z y$ j- K" adisp(['cost function evaluation: ' int2str(increase) ' times!']) U3 p! H7 t% U) T A! D9 m
disp(['n:' int2str(resultincrease)])
7 W2 X5 t7 C: S. F, H% q3 d4 D Wdisp(['minmum trip length = ' num2str(resultcost)])2 [7 w0 L' w! p- k' j8 I; V8 X
disp('optimum tour = ')
$ `/ H9 o0 t0 jdisp(num2str(resulttour))
) {) }: J5 t/ g4 b3 z% X1 E) [%==================================================== C) k) s9 _4 ]# P0 a' h) Z# ?6 M
function B=randomize(A,rowcol)1 q; g) g! a+ V) P. g) ?4 z
% Usage: B=randomize(A,rowcol)
8 t: Q/ d) [/ H' \+ R) ~& _0 l% randomize row orders or column orders of A matrix2 l$ m' F9 ^. \& a
% rowcol: if =0 or omitted, row order (default)
/ \% t% N3 s+ Z9 D P0 B% Q& K5 k% if = 1, column order
* ^1 G* P( X( b: o( Grand('state',sum(100*clock))* k+ U, `2 u+ Z9 ^
if nargin == 1,4 x( b3 c8 w4 N% _5 @( p4 ]; Y
rowcol=0;
' u+ M2 A: Z4 k2 k ^end+ W5 S* \! @. f- g
if rowcol==0,
! F. r8 a/ d6 m% J+ p [m,n]=size(A);: G y6 O6 F3 |9 t/ L
p=rand(m,1);3 O" d0 K9 |! F; i& n- v# a
[p1,I]=sort(p);% {+ J$ @9 Z& O4 ?
B=A(I, ;% H$ d% u" I8 z- T& Q
elseif rowcol==1,
# G( ^: Z6 M/ K# C* H Ap=A';* f# V4 d. z# L3 ^0 R
[m,n]=size(Ap);$ p- |4 S! F8 Y% N3 U
p=rand(m,1);
0 v& K" r f8 u' i) w1 }+ X0 y [p1,I]=sort(p);
- J1 {; o o$ F( |3 |) s1 z& H M" \8 S B=Ap(I, ';- d8 \" m$ H" l4 z' c
end$ x/ T( ^$ M6 Q& x1 s8 I
%=====================================================
3 q1 G( Z b9 ^1 Mfunction y=rshift(x,dir)6 b( b8 v8 j' T: V5 i* F; d9 f$ H9 `
% Usage: y=rshift(x,dir)
. m* h9 b9 b' D# h( Y4 w! f% rotate x vector to right (down) by 1 if dir = 0 (default)" e3 k* z2 ]7 f" `0 j; Z& |& l" G
% or rotate x to left (up) by 1 if dir = 1" J0 ?" h4 D$ X! U
if nargin ;2, dir=0; end
0 w) c, y7 G3 Z; k9 B[m,n]=size(x);. @% ~ X2 C* a$ b, e
if m>1,9 ?& M( `( W! [ x3 g1 P6 h' a( D
if n == 1,; s: m. p! i4 M
col=1;4 O" {2 @ ^2 O9 l/ `
elseif n>1,! Q# n1 F8 l: ~0 i% g$ K6 b' b
error('x must be a vector! break');
" t% N& ~, U! n, L+ I( c. J; dend % x is a column vectorelseif m == 1,
" s! x" R+ h% N/ o4 p; @; Y0 w& Hif n == 1, y=x; Y; z d2 _* q
return
% |% r/ R( \# n/ }, v: t2 j2 felseif n>1,* R# [9 s2 x8 w1 X$ P. x
col=0; % x is a row vector endend) p: A) ]2 k. I/ d, @2 e1 T
if dir==1, % rotate left or up# b! n9 N. k& ] I' J* T- Q. j7 ]
if col==0, % row vector, rotate left. b7 U* H4 {1 E: y. p( O
y = [x(2:n) x(1)];
' j7 b, D! s7 m/ A elseif col==1,8 o9 Z+ ~; k9 ?
y = [x(2:n); x(1)]; % rotate up
6 T$ ^( E/ L' S0 H& B$ \0 d+ Nend3 o. s y+ z2 H( ^4 n! w
elseif dir==0, % default rotate right or down
# ]+ S7 P* J6 ]) ~! h% U. p! U if col==0,2 R+ ~; I( N5 _3 p. W
y = [x(n) x(1:n-1)];
: t+ T4 P( ^1 A, K, ~4 b6 S6 Y elseif col==1 % column vector
3 C) ?# }3 p! {, \* ^/ A y = [x(n); x(1:n-1)];
, y/ H4 ~+ `" \, t1 c end) p) b- P6 \* x* k; K
end
+ Q" y2 P. o+ z% a* F( u+ V%==================================================
6 |+ G( W+ z) o' }( ]4 O4 jfunction [L1,L2]=crossgens(X1,X2)# ]; l7 H3 t Q9 |! P# o
% Usage:[L1,L2]=crossgens(X1,X2)1 ~/ {* j6 c' }! @* u# Y) E
s=randomize([2:12]')';
" {& V# ~. ~/ }3 ?0 Qn1=min(s(1),s(11));n2=max(s(1),s(11));
( c5 S5 f. g# x) O, yX3=X1;X4=X2;
1 A. }) C1 d2 I; Kfor i=n1:n2,% b( u: u0 A. x2 T: q2 \: J( T
for j=1:13,, r5 a6 q/ R" `3 I
if X2(i)==X3(j),
- T0 X# U; B6 r' }8 L/ G X3(j)=0;3 @0 i2 p* `) {5 g, l
end
0 m/ ]8 l( z9 d( i! r6 ` if X1(i)==X4(j), X4(j)=0;8 }( U# x A0 D& l) F
end1 @( @, Z- F% w3 @9 }
end
( X2 P( [, z: h. Q9 `& k end
' k7 U8 R: Q" @, F! g j=13;k=13;
. `9 D8 ^2 }* n' I) N% F2 R for i=12:-1:2,5 `4 @/ z! d5 @9 D1 }
if X3(i)~=0,* A; I0 X5 n. p O+ x6 j3 V$ a1 ^; E! ~, i
j=j-1;$ W3 s; g( d1 i, V4 _( U6 r/ h8 w
t=X3(j);X3(j)=X3(i);X3(i)=t;
; \, k, K4 x$ D; k/ l- v end/ G/ D, U7 A! n
if X4(i)~=0,% z& r1 B& {5 ?' `
k=k-1;% [1 z/ T9 v( O6 P$ g
t=X4(k);X4(k)=X4(i);X4(i)=t;! D; K/ Y4 `$ j8 E$ p+ J& S8 N
end" j8 e, x: l6 H$ B' x( X. V! O
end2 x; V* r# ?3 z/ B$ q
for i=n1:n2
7 c: f! R! _+ L+ c X3(2+i-n1)=X2(i);
' y9 b+ x0 b3 T X4(2+i-n1)=X1(i);+ D, O3 x% u( F0 w
end+ I8 a4 Z& E$ H: X
L1=X3;L2=X4;
" O# w* l/ {8 M%======================= |
zan
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