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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$ }# x. s8 \+ d- _2 BdistTSP.txt
- ^' X0 V1 h+ z8 z$ B+ H, e0 6 18 4 8( c+ l2 ~& Z4 W9 V, K" ^
7 0 17 3 7
( W2 F2 x: q6 N4 4 0 4 5
4 n. x, R/ I6 S H, O7 ?' Y$ U20 19 24 0 22
! P2 @* }4 Y# w) I3 B. a @; i; E8 f8 8 16 6 0
" h! v6 ?6 p4 q: r3 F2 Z%GATSP.m4 i; p8 v$ H3 h2 }0 A8 i
function gatsp1()
9 B4 V8 q! S; L* f( x3 z. {8 Tclear;
3 h9 g; k2 M# K( M2 U' l3 }load distTSP.txt;2 n! V! E" T- k/ x. A
distance=distTSP;
9 @' Z/ n/ G( v+ w! m A# J0 ~: C4 jN=5;9 g6 x) j) `8 [4 R. |% I
ngen=100; k7 Q3 O1 M# B1 r
ngpool=10;
' m( p4 U2 F! ?0 O5 A%ngen=input('# of generations to evolve = ');
' O1 }3 {. j' Q* B9 I%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
' C9 s$ `' J. @, Z9 Bgpool=zeros(ngpool,N+1); % gene pool0 |' s# Q* I: S( e4 D0 W
for i=1:ngpool, % intialize gene pool
. i) \2 R f, a7 m0 Cgpool(i, =[1 randomize([2:N]')' 1];( i* E) b4 V& S7 T+ i1 A5 D& \
for j=1:i-1
! V, O3 Z1 ^8 b! f3 lwhile gpool(i, ==gpool(j,
0 z7 j% c+ ^% s! s Y( r5 j/ T gpool(i, =[1 randomize([2:N]')' 1];
7 g7 m$ U* T) T+ I end A! V5 L, q7 v% ]
end
" h0 n3 j% B$ w6 {1 d1 B6 D; o end
p2 Y$ ~/ X% c9 K- C' y8 Mcostmin=100000;
9 o! j6 Z5 L, X- r% `% A- j tourmin=zeros(1,N);
% _8 ^7 g- q' _' D' D) X. q# j cost=zeros(1,ngpool);: M6 B$ `4 G# {0 O, h! i
increase=1;resultincrease=1;5 H5 t) q# e* @% z
for i=1:ngpool,
& T( B$ i3 T+ V% ^ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
( X; H! f+ h N; D& }, j; h" Z end. t6 G( O/ K" X+ S: v4 \
% record current best solution& P1 S+ L" S' p2 m
[costmin,idx]=min(cost);
$ A. ^1 {% K g! z) K/ Htourmin=gpool(idx, ;
: P, l1 H: _2 n& z# sdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
, ^2 d( [5 ?3 D3 R0 W! n6 T. |costminold2=200000;costminold1=150000;resultcost=100000;6 `5 Y4 V6 i( p& b$ `, m
tourminold2=zeros(1,N);, c' S* n( Q! c1 A! g& F
tourminold1=zeros(1,N);. R3 ]; [% @& F8 J( z! K1 }
resulttour=zeros(1,N);
" e: k' p6 V3 g7 qwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500), w& ?2 C7 v5 G3 v
costminold2=costminold1; tourminold2=tourminold1;( g4 I) C% {) q! |0 r* }6 o
costminold1=costmin;tourminold1=tourmin;# O6 O0 t( B8 V6 X) G
increase=increase+1;, P0 ?/ k$ U: z/ u. Z5 I. ?5 J2 V
if resultcost>costmin. P L9 N2 g! ]7 Y
resultcost=costmin;
8 _" r& o9 O: _8 ~6 h. O resulttour=tourmin;
3 K! F Y2 R, }' x. h% O( M9 [# B7 h" c resultincrease=increase-1;( Y& {8 t) N0 \) |# v8 H
end
* S8 @3 T: n8 ~' m ~, |for i=1:ngpool,
+ p1 P) {1 x& F7 @& O& p: u" U cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )'))); }" v* R8 @5 O
end) ` p. A& h6 q& c2 u/ [) v: f
% record current best solution$ |" ~, ~5 U; Q4 p5 i; |# w: m0 n
[costmin,idx]=min(cost);$ z' V. G# N% ^- h9 ?# H
tourmin=gpool(idx, ;
% t/ I- V# R) U% H%==============- |; C" M% \$ F5 R
% copy gens in th gpool according to the probility ratio
+ `# W' f, t& F* D4 [, f: L! C% >1.1 copy twice
! G6 r4 e, ~. }. F6 `% >=0.9 copy once
" h) ?2 r7 v) n% ;0.9 remove. O. j- B, O- V2 l) }1 M, Y r+ l
[csort,ridx]=sort(cost);: r" y: `5 U ^
% sort from small to big.
" b9 h( Q2 o! J' B0 C# \csum=sum(csort);
9 R4 J1 e- y' ?# l$ Ucaverage=csum/ngpool;& X- x8 z2 r; E1 Y3 @
cprobilities=caverage./csort;: `, B+ G* {5 Y. m
copynumbers=0;removenumbers=0;! d3 l: _. j( D' x' W
for i=1:ngpool,
6 Z6 H z& _3 T1 W0 k if cprobilities(i) >1.17 J7 K, i" ?8 x) C) E: K
copynumbers=copynumbers+1;
0 ^5 |6 U m8 x* z; R: O; D2 M ~ end
: P3 g, m. p1 {5 k) N1 C) N* b, a* | if cprobilities(i) <0.9) j( u* q2 m# F* q1 k
removenumbers=removenumbers+1;% R- _( m9 g8 W t/ {- D1 t8 q/ E6 t
end
! V! I( o- u# N$ d end
8 y. i, _6 L) i. J copygpool=min(copynumbers,removenumbers);, p2 y9 m7 q7 y, F3 b4 k
for i=1:copygpool7 c _: O/ U. O" Q9 O3 D
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
* j/ O0 }* u v end
/ k# H+ v! a: b9 b gpool(2*i+1, =gpool(i, ;# u) l; d& G: K4 @/ i0 c: {
end0 {! P4 i9 H4 B8 T/ A8 x5 k$ z5 @
if copygpool==0
2 E3 g5 R ]" I9 O7 ~3 Z; T gpool(ngpool, =gpool(1, ;& v& T* Y2 ~, O0 m# c- {/ b' q
end/ u# v* P1 J: a. Z
%=========
% j7 A% L R$ z: H H%when genaration is more than 50,or the patterns in a couple are too close,do mutation
" |. R8 n' X) y/ u4 Wfor i=1:ngpool/2. h( _8 j+ R1 L4 y
%( p, @% H& P1 G2 t, e* V0 G
sameidx=[gpool(2*i-1, ==gpool(2*i, ];( L7 A* w5 D u' W2 `* u
diffidx=find(sameidx==0);
3 Q% Q6 k- K j% |: }( Y, ~ if length(diffidx)<=25 l2 p5 X% ^& r9 M( {9 t( V
gpool(2*i, =[1 randomize([2:12]')' 1];
$ R3 O0 t* Z" o: i0 ~$ B end
) G$ I }/ A/ C; ~ end1 D7 w1 Y4 {' _" M2 K& S- I
%===========
/ C9 `% R3 t! G K%cross gens in couples' `0 \2 ~! o- ?, Z8 g8 o
for i=1:ngpool/2$ |2 @+ {+ \, o5 o/ z' m T% p
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );# I5 j. v3 r9 D' f' r- B! R) X
end
1 b2 z. c( z' O8 R7 S R9 n& v for i=1:ngpool,& N. ]1 x% X" a* v; D
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));* H; i: I |7 X. z; f
end
+ w& O0 R m" `* B" u; K i% record current best solution
! z' K ?; ?4 [* L0 y" q- ]0 ~9 |2 P[costmin,idx]=min(cost);
T. D& B( ?+ j3 \8 L" ktourmin=gpool(idx, ; l) S9 W' H7 {3 N
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
6 j7 u8 W2 _2 b b7 E# h8 pend + H4 t1 B w- n* v, g+ [: m
disp(['cost function evaluation: ' int2str(increase) ' times!'])
3 G' Y. [1 F+ Q1 h, v# n; c) ndisp(['n:' int2str(resultincrease)])
( a) i Q4 Z, L; pdisp(['minmum trip length = ' num2str(resultcost)])
; P% s4 o/ i( S6 B$ ?disp('optimum tour = ')3 }6 W4 O6 W2 t7 S5 D$ m- q3 t# U
disp(num2str(resulttour))
, g% h, c _+ M& ?+ c$ ^' b' L1 q1 H%====================================================
7 E' ?9 d A7 `5 wfunction B=randomize(A,rowcol)7 j1 E, e) v, ~* v5 h a; J
% Usage: B=randomize(A,rowcol)) r+ B, [1 |. }; }
% randomize row orders or column orders of A matrix3 g6 m7 ]+ e A1 ?3 U& `2 M# N) e8 }
% rowcol: if =0 or omitted, row order (default)
# [% g3 k( t5 }6 I- s% if = 1, column order
' ` g$ @5 [- b! `+ Orand('state',sum(100*clock))
7 a$ {/ O3 v$ a( }2 Kif nargin == 1,& J- I% i+ @# ~4 @
rowcol=0;+ L$ s6 t; a5 h7 K: {) Q& o) E
end
5 w1 g- K# i( l* u if rowcol==0,& b; x: s/ G$ C" E
[m,n]=size(A);- t0 z8 n: Y7 N- T2 \" s% Q: F |; q& {
p=rand(m,1);) o" k1 n" K- a% v& K
[p1,I]=sort(p);
1 `% a: @% |+ C5 v4 r. I B=A(I, ;# L( {# W" O8 W. W& p% S5 Y3 g
elseif rowcol==1,( E; J1 W1 U9 H* N$ q8 p0 h) y7 b
Ap=A';
$ W5 F7 e, u) V5 T; `1 L [m,n]=size(Ap);8 \+ z9 d; Y: C, h
p=rand(m,1);
9 H3 X3 b* \. { [p1,I]=sort(p);
0 g5 Q4 L4 b O q1 g B=Ap(I, ';
$ v) f' e& p3 H }. Kend
& ~' J, @" ^5 t$ X1 T# N%=====================================================4 }7 ~# K. w) R! J4 j2 |
function y=rshift(x,dir)
: D4 I% e% F9 K7 q' N* u% Usage: y=rshift(x,dir)- g* m% V" k' f+ Q0 F6 r
% rotate x vector to right (down) by 1 if dir = 0 (default)4 O3 L$ E8 L, G# m3 k9 Y; ^0 Q
% or rotate x to left (up) by 1 if dir = 1% L9 W) D, x" C* p
if nargin ;2, dir=0; end
8 `6 K7 W$ o) {% v5 [! |[m,n]=size(x);8 p. e! g5 [$ w6 N/ ?
if m>1,# I/ I6 t' Q' n) w1 d$ _' g1 n
if n == 1,, M. K; }) k/ m( @7 ~8 M3 M9 [. }
col=1;
, Q' Y9 P* x' W; x5 jelseif n>1,
$ r, G2 w2 b9 K) \- H error('x must be a vector! break');! q5 p$ O( Y/ `
end % x is a column vectorelseif m == 1,4 Z* h: K0 _& g+ d, h, e4 f# c
if n == 1, y=x;
/ Q; {1 m, c$ S( p lreturn7 l l) {. }4 a/ U x4 Y) o
elseif n>1,
3 l) k( O( R* N0 l3 i0 J col=0; % x is a row vector endend
2 e0 n a; D% ^5 ^+ Q ?1 Jif dir==1, % rotate left or up
- L6 u$ N3 G1 l1 y& R if col==0, % row vector, rotate left
s. I7 O' g } y = [x(2:n) x(1)];
) S$ Q/ |5 d* U7 P8 U: h4 R5 N- E elseif col==1,
/ `# P. Z6 o- l. t# k S, p& {; J y = [x(2:n); x(1)]; % rotate up2 \! U* h- V: f, }5 c; G
end
$ h& G4 F D }0 F; j elseif dir==0, % default rotate right or down
- E! I- K! Y4 R% L" ] if col==0,9 _7 T2 H5 g( e. R/ c$ K: ~
y = [x(n) x(1:n-1)];# a) E: F9 ?5 t( u; K* m
elseif col==1 % column vector
Z4 Z* P* R, z y = [x(n); x(1:n-1)];
. D) R1 i5 ^5 N: T. F( X end
. k5 t0 e2 i7 G: d! T- S) Q! q8 Z end/ z& l1 a# B7 P8 @0 B' E
%==================================================
7 e9 x1 O6 ]& y4 ? j, ~function [L1,L2]=crossgens(X1,X2)2 x3 B. @3 |: t
% Usage:[L1,L2]=crossgens(X1,X2)
& u! n3 M$ r9 E+ ?$ g% G$ ~3 Qs=randomize([2:12]')';
+ X- F5 t2 i# c6 }' j$ on1=min(s(1),s(11));n2=max(s(1),s(11));
6 ]) L ]( e4 c* ~0 mX3=X1;X4=X2;
4 P" o8 r! I$ Dfor i=n1:n2,% n2 V# J- S5 g! s+ f+ S S
for j=1:13,* S7 d* \7 F$ e' A
if X2(i)==X3(j),
4 E q# k3 l2 f. q X3(j)=0;: W" V! z, y3 w0 [
end
" J- R4 U) ]) M" U, o. `" X4 u8 W* t if X1(i)==X4(j), X4(j)=0;
7 J j6 P0 M8 ^; N end
& b; G0 G; t6 n- y5 C end7 E9 R9 U1 v5 h: Q P
end9 g$ o0 n! ]' }; |0 G0 C' n% h
j=13;k=13;. O1 z9 h* K# k0 m$ D+ q# b
for i=12:-1:2,
0 e9 P% B- N; ?' E0 A' | if X3(i)~=0,
: n0 d# K0 E! [1 Z) {+ h) v j=j-1;
' @* C* m" L" q+ E, W t=X3(j);X3(j)=X3(i);X3(i)=t;# U6 q( t R) p4 B4 {
end
) O' j8 G' h( @: X3 i2 o if X4(i)~=0,
; v2 W4 s4 y+ [) s5 o% E k=k-1;/ _/ \# [- O& }9 V7 R, C& N
t=X4(k);X4(k)=X4(i);X4(i)=t;
; h) [/ @4 E6 F end1 d* ~2 p5 O5 O! _: S6 S! S
end6 g4 @' V: [. H! U' ?2 c5 B
for i=n1:n2. m) z5 P4 {% |' n; `: Z$ C) O
X3(2+i-n1)=X2(i);3 a/ r- P9 ]8 G" k0 Q1 t+ \
X4(2+i-n1)=X1(i);
! m& ]1 M& g/ _2 }! }- K0 k end# X4 `1 c, o7 x- [: D z- Q
L1=X3;L2=X4;
0 h7 ^+ _" e$ t# _5 c$ s5 _ _%======================= |
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