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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!!!
G* h# h" E0 }& H' kdistTSP.txt
. b4 L+ X& G2 C. [& V* [$ N- }* |0 6 18 4 8
) S ~, b( T1 ~: Y7 0 17 3 7
& Q! l7 Y# D. e0 Z ?4 @9 F/ o3 s4 4 0 4 56 a' Q& @" k3 t' N$ ]6 T1 x4 K
20 19 24 0 226 ?1 }! I5 ]1 y/ l
8 8 16 6 0
4 X/ t8 X+ u) w+ o0 i% ~%GATSP.m
. V2 H% T9 h7 f, o* j; m% Xfunction gatsp1()
* q: C( y3 e9 A( z3 rclear;
2 U0 j/ r( ~5 N' U. l1 sload distTSP.txt;2 A$ H" z( P9 y% a- g
distance=distTSP;
) |' F7 a# H2 j% V/ O/ _' Z8 hN=5;
5 b* Z4 {, M: G0 b' Sngen=100;
" s4 k* F; x; c+ W, s. R& lngpool=10;
l1 }4 _7 O. |+ d$ H: B, B%ngen=input('# of generations to evolve = ');
& a! ]1 z& L |( a1 T+ [%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
/ ~2 ^2 Q, ~ |. ^0 m. X4 _" x1 Ggpool=zeros(ngpool,N+1); % gene pool
( Y& i9 R9 V# e# ^; w2 ofor i=1:ngpool, % intialize gene pool
- y6 _( s j9 J |0 G, Jgpool(i, =[1 randomize([2:N]')' 1];) ]. }. `- I9 W$ ?* Q% D3 N; O
for j=1:i-1
/ v6 y/ [6 s+ B* j3 mwhile gpool(i, ==gpool(j, ! |1 j& r6 Y/ D. Q' H( n! K: u
gpool(i, =[1 randomize([2:N]')' 1];
1 q5 E/ o& {$ B/ o& P% T end
& a2 ^$ x4 v% X* ]0 u end7 x! r3 ~! c; ]: W9 ~& [" _
end
/ P5 Z, G K# Zcostmin=100000;: d% b. x! F1 ~0 F8 x& S2 l
tourmin=zeros(1,N);- _7 m D1 v, p) ~
cost=zeros(1,ngpool);
" R! \/ e6 b3 N) ]; Tincrease=1;resultincrease=1;2 n5 L( E8 |8 S4 C
for i=1:ngpool,
% T1 X# a$ o0 a9 i: a cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
5 t: p/ W0 n: Y# W, H$ o end
$ m5 {! K- n/ o& r% record current best solution
- N f. i8 m8 K* E3 M[costmin,idx]=min(cost);
& ^7 Q, P: g6 \( btourmin=gpool(idx, ;
9 Y/ |. ^3 j3 C# T \) \disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
+ j1 k% b2 w7 P* X2 acostminold2=200000;costminold1=150000;resultcost=100000;! h& ?9 J, S. A; D* `
tourminold2=zeros(1,N);
$ K( O" j* j" B4 j( g( S$ utourminold1=zeros(1,N);
! b. Q0 L! b( U0 g5 Mresulttour=zeros(1,N);
7 m {5 ?& S0 {% J* ^6 J8 H2 wwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
$ P! V, z% q" Lcostminold2=costminold1; tourminold2=tourminold1;; J0 D* q2 ]; d! t
costminold1=costmin;tourminold1=tourmin;
+ i6 n0 n( s5 z+ y- yincrease=increase+1;
$ ~4 ?0 A$ l0 r3 _& _0 k% W0 wif resultcost>costmin
, Y1 e8 {' k. W- \, |- x$ G/ s% v resultcost=costmin;- \% B$ r8 A6 X2 |# g7 M. E8 y6 Z9 b
resulttour=tourmin;$ G$ p: X% l" {7 i w" X5 ^& p, }7 T
resultincrease=increase-1;
/ g; |5 I* A! ]# y# r end
) i" j/ w/ K) E. Nfor i=1:ngpool,4 \$ t1 O' n+ X1 S
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));" y) N) ?' g1 }0 [2 I8 R
end
. N6 T: R/ T5 \/ M% record current best solution$ x( w( z0 e" A% M, O
[costmin,idx]=min(cost);! E% N) P7 z* |! e& [
tourmin=gpool(idx, ;
( k/ T! L6 J; F- X: C9 Z$ k%==============
7 I; P/ r& j: a& i( o# |% copy gens in th gpool according to the probility ratio) u) `6 J0 ]( O/ t! U" S
% >1.1 copy twice
6 w# N, O1 D5 L% o; \% >=0.9 copy once
1 K1 \/ I6 `+ Z. f0 S% ;0.9 remove! L( r* n0 s9 [3 }1 Q. j+ R/ Y% B
[csort,ridx]=sort(cost);
1 o ~& C8 r# N/ }1 w% sort from small to big.
$ o' w/ o* T6 H% r4 v3 ]1 gcsum=sum(csort);) N8 h! I6 P; S0 a3 r7 [, V
caverage=csum/ngpool;* \# R( V& K I' k& u
cprobilities=caverage./csort; t; ?, L w: n$ d _- v
copynumbers=0;removenumbers=0;
, Z. I" F$ D) lfor i=1:ngpool,) d3 k. d4 f0 H, c" t' y
if cprobilities(i) >1.1
7 S& ` Y9 ~& G J! | Y copynumbers=copynumbers+1;3 @; ]3 F- g0 h$ G, {$ t
end! B2 B8 V6 a2 i9 g4 B& D
if cprobilities(i) <0.98 D9 {+ L7 p% \
removenumbers=removenumbers+1;
, F. X4 n+ x" S end
# m% H1 z* P; s V2 p/ F end
" x- u2 j5 N6 j copygpool=min(copynumbers,removenumbers);
5 \) d. \" _" k( ?3 {5 N* w for i=1:copygpool
# z4 M# p; P: v$ d4 U% K for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
C+ u" u( F( Z Q end$ l$ q G0 Q. v7 ]6 T
gpool(2*i+1, =gpool(i, ;
! r8 d$ N+ n/ G# r1 _# I end
5 Y% g$ s( ~* @% _/ p4 H- V8 M if copygpool==03 A$ R$ B- ^4 ]' K( Q
gpool(ngpool, =gpool(1, ;5 P: A% x) Q* z1 S
end, h3 j' D5 w( t! R0 H) b2 l& x2 k' B
%=========5 L' B K G" x m+ D5 W+ [
%when genaration is more than 50,or the patterns in a couple are too close,do mutation4 q8 W; P9 ?5 k3 r, d* a+ v1 E
for i=1:ngpool/2- l0 j5 b$ b* v! B; G
%
! ~& U' C5 H! I$ K9 U% {sameidx=[gpool(2*i-1, ==gpool(2*i, ];2 J5 l- q6 |' L+ a
diffidx=find(sameidx==0);' ~& ]& g S& u
if length(diffidx)<=2& W# Z; m+ y! Q1 f% V
gpool(2*i, =[1 randomize([2:12]')' 1];
d1 W% g; r8 z/ s end! ?+ Z6 B) U& A: W3 T
end L4 a: L; W% ^% T9 v4 c/ _
%===========/ F; ^" Y& ]5 F. {! f/ z2 ?
%cross gens in couples
5 j6 z! ~9 u/ }1 c3 f for i=1:ngpool/2
3 V* m( f* ^" g4 g( V) H3 _8 L [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
' F; d U6 `' ^& |; { end: A: @- F) |5 ^* V" l
for i=1:ngpool,9 O) ^, U* ?# _3 b8 E, ]% I
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
7 ]! {0 `$ J w/ E end4 R. ~3 M5 C7 K) z4 u
% record current best solution$ }- d) \, }2 j l
[costmin,idx]=min(cost);
6 i1 d+ p9 j6 V/ k' i1 D6 D1 @+ Ctourmin=gpool(idx, ;
3 C9 x. O4 e6 W7 ^disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])( P' R5 b2 U1 W& {) \
end 1 Z6 N. p7 e2 i; a$ q! a; q
disp(['cost function evaluation: ' int2str(increase) ' times!'])
4 o. ^4 c) \; T$ t+ Edisp(['n:' int2str(resultincrease)])3 x3 i6 I. x* C5 {7 V% e- D
disp(['minmum trip length = ' num2str(resultcost)])
, M: {% v' A: u9 I! E4 edisp('optimum tour = ')- m" |$ F/ T% b9 [+ Q
disp(num2str(resulttour))* g6 G; ]/ ?* a4 q. F. S
%====================================================3 n, j, Q# t. o$ A
function B=randomize(A,rowcol)
; }) p0 s3 @1 `0 a# y% Usage: B=randomize(A,rowcol)
4 A0 E4 c. y- q* ?6 ~5 N3 Z% randomize row orders or column orders of A matrix
6 q3 t& F M0 i0 T" }% rowcol: if =0 or omitted, row order (default)
2 p; q* n; r1 F8 I- y% if = 1, column order Q' r7 _8 A( c0 X& \
rand('state',sum(100*clock))3 w0 ?' T. k) F3 E
if nargin == 1,& G! t$ ^; o, p# e7 S
rowcol=0;9 Y/ |" V! `9 t- B) P, T( s7 R
end) t& s ]* ~7 o# n3 g7 e
if rowcol==0,) X3 i# W7 {' y
[m,n]=size(A);! ]( u3 h( g( |1 M. j! g
p=rand(m,1);5 n7 T* j( {- }3 a+ s8 j
[p1,I]=sort(p);
9 y) y+ m! P0 h- l) i: u8 \2 p B=A(I, ;
! h! s$ x( A) c1 J9 L- E/ c9 Jelseif rowcol==1,
; X, ~% {# p# V; n) b Ap=A';) f8 d$ l3 s. }5 O
[m,n]=size(Ap);
! p5 q1 i* Z) h$ C) _; H p=rand(m,1); x3 T9 I0 W4 m8 ?" Q1 t; a; W! x6 G
[p1,I]=sort(p);
5 |: q( R0 x# q$ f, c B=Ap(I, ';
3 f. d/ L& Y5 _: M) H; j! P$ r+ Eend
6 F! T `4 ]+ f. C%=====================================================
- x) R( M9 J! A3 b) F/ E% Z6 l8 tfunction y=rshift(x,dir)# _1 |4 @. N, x. {: `$ U
% Usage: y=rshift(x,dir)
+ d! t7 p1 L5 |& U3 M% rotate x vector to right (down) by 1 if dir = 0 (default)
% k# m$ m) ^0 C8 j0 m- j g" \% or rotate x to left (up) by 1 if dir = 1, c9 J V1 x3 t$ T6 F- Y
if nargin ;2, dir=0; end
* x( A4 I( z: z5 f[m,n]=size(x);
$ M2 R- q# [# \5 r: g4 G# {8 T; oif m>1,
8 Z: i- v8 y+ A4 aif n == 1,
+ _5 a3 Y6 h, l9 _' U col=1;8 q+ t2 Y6 @2 h) ^
elseif n>1,, u( e. H n- i7 e' S/ z7 M8 m* S
error('x must be a vector! break');
, v# _, y2 I% a/ yend % x is a column vectorelseif m == 1,
& Z5 a* W' c- g0 o) uif n == 1, y=x;7 V$ A9 V h4 z8 G' ~( F' i* H
return! @& @, D. A. t t7 O
elseif n>1,
& I: p$ Z, B) }- G4 M# f; Y7 j col=0; % x is a row vector endend
' v* x, Z: H1 ?" b2 [if dir==1, % rotate left or up7 \3 O4 V3 A( Y. w- ]1 i+ k
if col==0, % row vector, rotate left
9 f" [7 @# g0 G. `& w$ g1 l9 h y = [x(2:n) x(1)];
$ {/ L+ `/ s( a- m elseif col==1,) j5 w5 b( T) E/ v
y = [x(2:n); x(1)]; % rotate up
# j5 R, F2 d- Fend
: T% |2 Z9 _; l9 x6 @ elseif dir==0, % default rotate right or down" {2 ^9 p) V9 L) j4 W
if col==0,
" M9 N# o' e& S7 a( J- ? y = [x(n) x(1:n-1)];4 @* F# r* u- |4 @ _2 L+ q; A
elseif col==1 % column vector, X1 @2 k7 K/ ~% u- I8 X
y = [x(n); x(1:n-1)];( P: O5 V, }8 n. U4 C6 w
end P U8 b3 d2 L- W4 I( v' r
end/ z, l/ d8 Y: F% c u
%==================================================+ v" q" U- ~9 e' _/ o- w
function [L1,L2]=crossgens(X1,X2)- J% h) t7 [% |
% Usage:[L1,L2]=crossgens(X1,X2)
5 t! W# m) W! H# ns=randomize([2:12]')';
( A9 i7 ]3 j% B" d" o# I. g; `n1=min(s(1),s(11));n2=max(s(1),s(11));
( [$ F5 [; n5 wX3=X1;X4=X2;8 d4 D# x1 u( L$ k( ]. h' G9 }" k
for i=n1:n2,
4 ^! c( k4 j; O6 x for j=1:13,7 [, K6 ~2 z2 p; ^& V* l/ ~; W4 ]. T
if X2(i)==X3(j),+ N. `$ K, }6 b- G7 I2 b
X3(j)=0;
4 y1 L% ^% t2 m0 e* g, W9 ~1 r end" ^9 i8 [, v% Q( I$ x
if X1(i)==X4(j), X4(j)=0;7 M. ?5 [, M5 S: j4 `1 |
end
& t: R9 l g. [. o" m5 \ end
- I, N4 ]# q1 h6 C end
8 K8 e" a3 B( \1 L$ N1 ~/ _ }7 ~ j=13;k=13;
; h1 C, m( q4 p% @ for i=12:-1:2,
' |4 Y0 e5 R6 ~4 @( H1 Y+ H if X3(i)~=0,
# E) U; V+ r% g4 F6 L" E2 Y! M j=j-1;
. U2 [8 D% H: e& B# A( ~ t=X3(j);X3(j)=X3(i);X3(i)=t;! w2 ~( l7 x" V2 b0 J* o+ E9 u
end8 Z7 u% p( k9 v& ~% V
if X4(i)~=0,: O0 t; h9 H3 v
k=k-1;9 T& V& X/ M0 W. F0 @
t=X4(k);X4(k)=X4(i);X4(i)=t;
8 R$ X3 |$ f$ t7 l7 C end
' a! j1 k% q D9 } end
8 o5 Y( z) O4 A0 s$ }8 O/ n: ^ for i=n1:n28 U# H1 D9 l' R( e
X3(2+i-n1)=X2(i);& K: ^# W' @$ f7 `, p1 A. o6 Q" A! y7 @
X4(2+i-n1)=X1(i);
9 `, Z; d/ V7 [7 n end
+ ]8 r4 P9 {) T! ]; M1 rL1=X3;L2=X4;0 O: e) E# G6 B) X
%======================= |
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