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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!!!
" W9 |# k' T4 h0 U, i/ o8 t$ _5 ~distTSP.txt0 q1 ?2 U# {3 q& d' l+ |' g, }
0 6 18 4 8
4 i* r% W$ `% E7 0 17 3 79 H$ W! r4 \& | j- l
4 4 0 4 5
. s5 J9 f: u9 A: S* H: n6 i20 19 24 0 22/ p& ^4 D- V1 Q2 F
8 8 16 6 0
( d9 q9 j+ D5 o9 Y8 h0 R%GATSP.m) w& k; m* X) j: q( A% C+ m7 q: j
function gatsp1()5 F' [4 N9 U' e9 S) z* c) Z. Q
clear;
' S# ^9 _6 G! Uload distTSP.txt;2 w$ I( H8 o( F; D; H) [4 v* J
distance=distTSP;
1 N3 d2 \) K" CN=5;% f2 |8 G& |# ~
ngen=100;0 j6 F& B" Q' c5 Z6 p/ J+ U* O- N) y
ngpool=10;
3 P; h; q, J+ ]# F' N% N%ngen=input('# of generations to evolve = ');& b4 D7 T2 {+ a: U6 |" P' z! S
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool l1 ? K; \0 g! Z
gpool=zeros(ngpool,N+1); % gene pool* [! z+ I4 T$ B" X
for i=1:ngpool, % intialize gene pool
2 B! [- N% ?% ~8 v5 q3 Q( g' u, Ogpool(i, =[1 randomize([2:N]')' 1];
. e. ]0 G4 |3 K% Y g0 }5 I, Rfor j=1:i-1( [0 R: e' q2 ~) z5 y
while gpool(i, ==gpool(j,
8 f- E9 S! `+ o4 B/ V gpool(i, =[1 randomize([2:N]')' 1];
; Z7 `; w8 U- ^. z: } end
- j" p5 w/ }( t3 W$ l- g end
" X+ g* J% L0 h6 s7 x! N end
# j0 q0 s" V1 q* d0 Q; j$ gcostmin=100000;
( ^5 B% d3 _% @/ V5 J1 \% i tourmin=zeros(1,N);5 }7 @8 K4 w1 ]0 B
cost=zeros(1,ngpool);' A- q3 \( R6 G. F) j9 X7 }
increase=1;resultincrease=1;
/ L* L' p) N [9 ~7 z$ b2 U for i=1:ngpool,4 g& ?- E/ @6 n; ~2 |
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
6 ]; D) {# G* S) W! a! b9 i7 y y+ t end! s# \: ~ U9 ?
% record current best solution
6 ^6 p( W+ F, X w2 @[costmin,idx]=min(cost);) s4 s7 A0 N7 J8 I; A$ x7 [" u t
tourmin=gpool(idx, ;. K6 i- W7 k/ D- r* L
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
* A' H4 e: U) [1 W6 ]. Rcostminold2=200000;costminold1=150000;resultcost=100000;
9 \0 r# H* [" ?; f3 @tourminold2=zeros(1,N);4 v, m1 T+ v$ e
tourminold1=zeros(1,N);
" [5 f) v/ X9 I1 @. S; d) Aresulttour=zeros(1,N);
1 r2 C. Z9 N: iwhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)/ g. L& v' d0 d% l
costminold2=costminold1; tourminold2=tourminold1;: d* {% l# ^8 C( E" t! r
costminold1=costmin;tourminold1=tourmin;
+ K& |0 \5 G' l( Iincrease=increase+1;
( X5 B, K6 P$ [3 hif resultcost>costmin
$ w7 _+ p1 w! l5 n/ [. } resultcost=costmin;
9 L/ B4 ?4 K- L4 z8 o5 H* h resulttour=tourmin;1 X. r$ r: r! m
resultincrease=increase-1;
* `9 ?! D# K! R. J" ^( |4 j0 H end
# o8 a3 x8 w7 U9 V& x1 i: d ufor i=1:ngpool,0 e5 g }2 P8 H/ o" Z: j% {
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));& u& T' S5 t( L0 O& a ^1 P
end
& D' B1 p' i7 e5 p' a) {% record current best solution& F/ B! @2 c/ V3 ~& {) R
[costmin,idx]=min(cost);
: u9 r! J# r" h, c8 X$ v7 `6 u' Q) ntourmin=gpool(idx, ;* p; ^' _% I) I5 V; M
%==============
+ U) g8 \) w' s' }" p% R0 p9 w% copy gens in th gpool according to the probility ratio
, r. C! l4 ^0 A) u1 Y6 p: J% >1.1 copy twice( a- i* a) N I& ?3 c3 Z7 _
% >=0.9 copy once
- ^& @5 J3 r+ o% ;0.9 remove
8 z! M. W5 A5 w[csort,ridx]=sort(cost);$ L2 S% U! j0 W; d' G# u
% sort from small to big.
, z! ~/ q, b6 k6 o3 ?csum=sum(csort);7 A4 _/ H6 p$ K; { @
caverage=csum/ngpool;1 n% J5 F, c5 {) G
cprobilities=caverage./csort;- s/ L7 D0 H* x; s. ~& @
copynumbers=0;removenumbers=0;' u1 b. J5 D P
for i=1:ngpool,
* T/ F5 t- Z/ _5 `1 z& i if cprobilities(i) >1.12 X. v' Y6 Q Z: s( i, O- S
copynumbers=copynumbers+1;- K6 F# X5 Q% D* l7 }& l
end9 e: R# \6 J" |. j0 d
if cprobilities(i) <0.94 z& v* r9 ]2 }7 x9 w* Y `
removenumbers=removenumbers+1;! V7 I" c) i) R$ C/ B8 l
end
: N( A& U q5 v/ x1 S end
+ b. u! e# z- F! @ copygpool=min(copynumbers,removenumbers);
' X% `. Q3 ^( k) V) V for i=1:copygpool
- @2 F- B# y3 ~$ j* \ for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
% i' w: A, w) a1 K# X3 x( J1 i end
. i- ^+ H9 c) h+ i gpool(2*i+1, =gpool(i, ;
* h/ }: s- E* T1 i( K# ^ end
$ d5 b4 v, j2 S7 m2 I# i/ T& q if copygpool==0
3 S! r* l2 r/ m6 ?% l1 S% H gpool(ngpool, =gpool(1, ;
/ ^: D; q0 b% H. _( l" u2 L5 H$ C end
9 t" V$ F6 f9 S6 A%=========8 {& t2 d: Y7 |6 h: G# O
%when genaration is more than 50,or the patterns in a couple are too close,do mutation
" g7 |7 b, Y9 H. Bfor i=1:ngpool/2) @5 |: ~* D/ I7 l( y8 g
%
9 P" m9 k6 M% w ^sameidx=[gpool(2*i-1, ==gpool(2*i, ];! l$ O- ^: b$ Q& E7 c
diffidx=find(sameidx==0);
( r: Y6 Q; ^+ H# C6 T% Q; c if length(diffidx)<=2
/ Z+ Q, a1 I, n& f* T8 P gpool(2*i, =[1 randomize([2:12]')' 1];
" `8 s/ t' {* z9 \ end
3 C5 n S- T4 {$ ]& @% J end
% y( M: D+ G% B. K; @' |%===========3 c" [( P6 F, g9 Q, j6 c
%cross gens in couples
# j3 W9 s* n6 F1 `" }) \ for i=1:ngpool/2) i: V6 b( b) a! ?: K
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
* e. ]5 w; Y5 D: O! |( ? end% Z8 Y3 d- w8 G( n# L: F L% u
for i=1:ngpool,
* A- v O) z: N% M3 w/ P cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));: P( D& A& ~! {( C3 A7 h9 n
end- S+ }7 ]' d5 v/ ]( x
% record current best solution
& u" ]* y; {7 c$ u0 W[costmin,idx]=min(cost);( d: L1 k# Y+ _0 l. m0 \4 ~
tourmin=gpool(idx, ;
# r' d' ` S1 L9 d" A3 T$ ]disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
/ k) V" W1 e0 K- p( S9 ~ vend * k4 u- [2 U n3 }: U. C" C" j
disp(['cost function evaluation: ' int2str(increase) ' times!'])
' C3 J7 U( ?0 H; Adisp(['n:' int2str(resultincrease)])
3 n9 j- ~ h! a+ I* D: S) ydisp(['minmum trip length = ' num2str(resultcost)])
0 U+ z4 a& I& s. \! Q+ odisp('optimum tour = ')7 V) ]# a+ |! Z, m }
disp(num2str(resulttour))1 Z, D" {2 p: T* m- {' S6 j
%====================================================4 M% j' U. g5 \3 a6 g' N& |! A
function B=randomize(A,rowcol)4 O4 R& {) {7 E3 m2 }
% Usage: B=randomize(A,rowcol)2 m8 d: N! c$ q" D5 r
% randomize row orders or column orders of A matrix
' z9 m5 B* b s; [3 A% rowcol: if =0 or omitted, row order (default)
7 e7 n2 a! k/ w+ U) o5 i% if = 1, column order, ~9 U" ^9 P5 h4 y8 y6 b# h: k. e
rand('state',sum(100*clock))$ C' T7 S. Z' F! y4 h
if nargin == 1,7 D9 J3 A+ [- ?+ B$ h9 T
rowcol=0;
0 [" ~1 _) H/ a) y+ E1 xend7 m* g6 N8 A& W- _$ v
if rowcol==0,
- }' F8 Z+ ], I [m,n]=size(A);
, G, ` W; q. N0 _9 G9 { p=rand(m,1);& C; c1 N2 K3 d; N a% q1 `3 |' u0 O
[p1,I]=sort(p);
3 ^! |+ P* _" d# y1 Z2 @ B=A(I, ;
8 b5 }# m# V$ b) |elseif rowcol==1,' e" H1 u& |$ p' D
Ap=A';5 A. a* x; ?2 E5 l1 l. n
[m,n]=size(Ap);
: L! f3 z5 d0 b. f1 F3 s4 s p=rand(m,1);5 E: [3 |# e8 D q) ?! a3 L1 c
[p1,I]=sort(p);
/ p9 L" f9 Z2 l- L! Y) ^6 K B=Ap(I, ';3 K2 m6 W1 A0 ]3 R/ @3 v4 X: t
end
& ^) p6 E' \% I6 P+ x, J8 `%=====================================================
3 I4 E% o' {7 {. H+ I# ofunction y=rshift(x,dir)
3 L, a* R: n" Z0 q; |& r" W n% Usage: y=rshift(x,dir)6 g) S9 @ o3 V. d( l+ e
% rotate x vector to right (down) by 1 if dir = 0 (default) V. ?2 \3 l1 r. T v, N2 Q
% or rotate x to left (up) by 1 if dir = 1
* R6 o y9 \: [' ]* ~if nargin ;2, dir=0; end8 `5 x" X# C: F; {; N; z$ P7 C
[m,n]=size(x);
1 ~ v' h8 C, Z! V- _/ g4 p0 \% ~if m>1,
2 g1 p4 j. X4 H) M- jif n == 1,
7 E! v9 d" H# l4 {! B. V col=1;. T, E! p" k4 N: y: |& K0 a
elseif n>1,' V5 f* A9 z, t7 e: P
error('x must be a vector! break');, p/ c, [9 L5 q3 w. U1 k3 q2 U$ |8 M9 V
end % x is a column vectorelseif m == 1,
! j- O$ a( g; L& b. [( @ Pif n == 1, y=x;; b1 O+ m2 |7 N' F/ i, x
return u; v4 s, b) Q( T4 h
elseif n>1,
) ~2 e2 ?) s% C {9 X2 t1 \# H% } col=0; % x is a row vector endend# b' v1 P! s6 [! F1 I' _3 o
if dir==1, % rotate left or up
, l1 I# e2 y: w2 P- X( \9 S8 V" c if col==0, % row vector, rotate left) }; s8 x/ q2 R1 [% k; h
y = [x(2:n) x(1)];
; f* D% W" j l) R elseif col==1,$ A5 `7 t/ Z8 U4 i5 @
y = [x(2:n); x(1)]; % rotate up
$ b# e% [, m$ u' O% X Uend
. M" O! f1 c9 J! m# b) M* `1 t elseif dir==0, % default rotate right or down4 @" u8 F2 ^# u! J# e. N2 V
if col==0,
- i# o ], `& X. J; P8 S y = [x(n) x(1:n-1)];' M& M$ T9 i# f: g |! B( `
elseif col==1 % column vector9 @# t$ o/ R* Z& e+ }5 Z- U) t) H
y = [x(n); x(1:n-1)];
3 U# Z2 J6 n; L) T; F7 } end! e& H5 _9 a( C% Y" g7 B
end
" ^: d6 g2 G4 V. H- Q% t%==================================================0 i9 g3 r# S% F7 W: X+ y/ ]+ [
function [L1,L2]=crossgens(X1,X2)
, ]$ r0 q$ n9 A3 c: N7 x% Usage:[L1,L2]=crossgens(X1,X2)- D! M; L% {, Y, y8 u; i
s=randomize([2:12]')';
6 B2 O9 O x3 u9 ]# Dn1=min(s(1),s(11));n2=max(s(1),s(11));. Z9 O* n4 m2 w1 f
X3=X1;X4=X2;4 q7 b( u' A& W* p8 ^9 u/ y
for i=n1:n2,& S$ F: b% c0 ^5 `+ |
for j=1:13,, q0 v, O3 r$ k+ \7 T9 n
if X2(i)==X3(j),
4 [5 z: b2 B+ \4 N: M X3(j)=0;5 T" e' A3 C, k4 w/ Z8 G7 C
end. z# Y: |9 h& }. v2 N
if X1(i)==X4(j), X4(j)=0;
- g9 D1 S( r( a: g" }' a+ u end! ?) U) W2 G5 Z5 b7 i! u7 p" L
end {, e" {" H g% M$ b# Z
end
. |% }0 O0 {) h: t j=13;k=13;
+ p3 X, o1 t% w2 y7 g for i=12:-1:2,7 W# x# k: b" x" g6 Y" d
if X3(i)~=0,
( h$ e1 ^0 I2 d* j7 t j=j-1;! ~ b5 P$ I3 q& d. h' L% s7 B+ q
t=X3(j);X3(j)=X3(i);X3(i)=t;$ t' g4 b- @2 A# F
end; f8 K4 _' f8 Y8 Q) `9 t1 o
if X4(i)~=0,
" T u' m! P: B6 f ~- x' r k=k-1;
. ]1 s3 p% e: `8 Q# \8 O0 U t=X4(k);X4(k)=X4(i);X4(i)=t;+ N; h X# d9 Y0 l, H
end( i6 X7 [! {0 D
end
) n$ D! @8 S+ e; z- K0 A for i=n1:n2" a/ h _ P1 n. E( \* f. z* y
X3(2+i-n1)=X2(i);
8 G1 o. A. b7 q+ a/ x/ M. `" A X4(2+i-n1)=X1(i);
S! w! o# }8 \5 y end
6 o0 n' l6 m1 lL1=X3;L2=X4;
% X+ \4 L5 }1 \( Y%======================= |
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