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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!!!
: O( U6 F" v$ Y; q mdistTSP.txt
. F2 N4 `! F7 L* q2 I2 Z0 6 18 4 8
$ L/ C3 ~5 g% _# i& l" J' d7 0 17 3 7. a* |* S2 n5 q, h) D
4 4 0 4 56 q0 W7 v( S8 h' n! `( K# O0 @
20 19 24 0 22( M) r1 l r/ n! D. n$ C) R
8 8 16 6 0
; Q( S8 i6 [/ T9 U3 t1 p%GATSP.m1 u8 x8 s9 I7 r0 L1 P2 ]
function gatsp1()
) k' ^8 h: U) z, ^. {! Jclear;
6 P& Q8 ]8 ^! Oload distTSP.txt;
: J( A( Y" R, _7 c0 ~$ h. E9 ?% \distance=distTSP;
v3 E$ r. D. H9 F9 J8 g8 f# ?N=5;
. r' X5 J! C9 P. s4 n& @ngen=100;. z& p, T0 F' [$ k. [
ngpool=10;' j2 }" l6 b0 _+ \
%ngen=input('# of generations to evolve = ');$ D' b& `0 f6 F6 J% s9 |1 n
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool7 y* L0 [# Y+ @$ E6 k$ q( A
gpool=zeros(ngpool,N+1); % gene pool- L" |$ v% V1 q l* k
for i=1:ngpool, % intialize gene pool
( s; |! M' G% E% xgpool(i, =[1 randomize([2:N]')' 1];* G3 p$ d) N* w$ d$ ~, n1 w/ q
for j=1:i-1
! v+ U% O8 n9 a( mwhile gpool(i, ==gpool(j,
% u% h" l% J0 P: [ gpool(i, =[1 randomize([2:N]')' 1];
* D. e2 T% T5 o% `/ M end
" ?; \# j7 B# O+ W' T* D* P end' ~& x4 d5 a, J0 ]! o# C ~, ^; \) ~
end3 f# g1 I4 m; {" B
costmin=100000;
3 b5 {& k a# E( y4 |/ P tourmin=zeros(1,N);
8 ]+ _- X; [$ ?8 e; ^) T$ B: F. Q( A cost=zeros(1,ngpool);
3 @6 ^( n3 N; {6 [0 U+ {8 y0 `increase=1;resultincrease=1;
6 o& R$ i5 o; n* H for i=1:ngpool,( B+ u8 ^' |+ l. p2 n
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
4 r; F- R: j) {0 o; Q end8 v' ]( h1 u% u; S
% record current best solution
6 {& Z" x. z& [7 \[costmin,idx]=min(cost);1 I0 u% O2 Z+ |/ p0 G+ H
tourmin=gpool(idx, ;) C" t2 Q' [) Q( R
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
- l3 B& s b9 [1 ~. x* Gcostminold2=200000;costminold1=150000;resultcost=100000;
; G" R# p; m2 Z5 F% K Etourminold2=zeros(1,N);4 a" `/ d0 ]! i- K
tourminold1=zeros(1,N);
: m& s% u4 s! t; I4 P) Oresulttour=zeros(1,N);9 v, W) U+ V: r( @) }6 ]
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)( e; X+ |7 p: F: w9 b1 S% z
costminold2=costminold1; tourminold2=tourminold1;1 m7 E" C0 J6 e8 J6 `7 V
costminold1=costmin;tourminold1=tourmin;9 {3 C$ d0 C! }2 s7 q8 Y0 D
increase=increase+1;
" g9 r; h9 e1 |4 h- y4 X8 e. Dif resultcost>costmin
$ J: z# D: k1 H7 H: P resultcost=costmin;
4 U7 _3 s; C4 H7 F- g% ^6 w resulttour=tourmin;9 v! P1 \8 C9 _5 d- Z ^# f
resultincrease=increase-1;
) C. R1 H) g% g6 s( U' Y7 ?5 ~& N. l% Z end; S# b( l# B. W: a3 [& l
for i=1:ngpool,' {9 S. q! X1 d- [9 ^$ K# v
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
$ t+ [0 j4 q A; w6 Oend
- D8 {5 v Y+ l _% record current best solution
1 ]) l( x }% _( k7 A0 }" ]9 s$ r[costmin,idx]=min(cost);
8 Y3 J9 f7 g: F/ f0 N0 P8 F5 i/ t" ctourmin=gpool(idx, ;
" [9 o5 ]+ r/ |0 w$ E: }7 x7 v. e%==============
7 z1 B: ~* d: C8 ^; }% copy gens in th gpool according to the probility ratio" O# n$ u! ?$ Z2 t3 z3 T3 i. E
% >1.1 copy twice
/ I O7 B7 ?! o. }1 F% >=0.9 copy once
# \0 a* P( R1 t1 L: a% ;0.9 remove- R8 V' D: t/ K( j- I# y
[csort,ridx]=sort(cost);
7 ~' C! ]1 V! d( N+ i% sort from small to big.7 I6 m- s4 A; x4 Q
csum=sum(csort); p+ I! ]' q4 c- n F$ ?
caverage=csum/ngpool;
& r/ I" V4 F- {4 P3 f* q/ qcprobilities=caverage./csort;1 h8 d% T; O6 X" T
copynumbers=0;removenumbers=0;) z4 o5 B+ h: F1 @; b' d* }* J
for i=1:ngpool,
! f# J+ e- n, E7 A if cprobilities(i) >1.1
, e. a7 @* R2 n/ l6 j' S8 N$ ? copynumbers=copynumbers+1;
( X$ P3 K! l$ Z; R# v end
' U9 D2 k! `" N" r1 p if cprobilities(i) <0.99 f' u& o& c6 K
removenumbers=removenumbers+1;4 q2 v; C3 @0 l) d0 F+ N
end
+ M. {# f# S6 n end
# r6 {' s7 r, T- T0 r3 G. { copygpool=min(copynumbers,removenumbers);! v+ h }2 G" X' I; u) Q
for i=1:copygpool1 s0 }4 Y2 j P- J
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
8 d! _* p* `1 q i& ] end- |8 I1 C; @9 o; k4 C
gpool(2*i+1, =gpool(i, ;
$ k& H2 n( Q5 P0 \* [$ a end
+ ]# N, H) H# K, q if copygpool==0
* a) r% ?5 [% p6 ^5 t gpool(ngpool, =gpool(1, ;
" H V& E) I$ _1 G2 K' l+ U1 r end
- b/ d( d6 |* r5 H0 y7 @%=========
2 _2 M) Q \% ~" n9 p+ P%when genaration is more than 50,or the patterns in a couple are too close,do mutation
, O7 `; |& c# P5 m6 W, ]/ Nfor i=1:ngpool/2) P g: ^. V1 B/ E9 W4 ]$ H
%* ]! ?9 q8 [! c7 {5 c- S. D$ C& }
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
1 o, }2 B# X: L4 O5 X/ Mdiffidx=find(sameidx==0);6 l$ [; i1 t7 z f4 }7 R
if length(diffidx)<=2
/ f( w' V7 Q5 e+ G' ` gpool(2*i, =[1 randomize([2:12]')' 1];& p4 _" z& V5 X- a3 u R6 B
end
. B: y6 t4 t# L6 C I9 G end' c' u/ `7 Q/ w- ]: d: d- Y
%===========! }& X2 G* B) I, B' C' d8 o/ s1 {
%cross gens in couples
, }8 F% k4 M+ Q0 x) Z for i=1:ngpool/2( t1 z. v7 D5 T: d# Y, j
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );+ m l* F4 o6 S8 y7 z* [- Q3 C- u
end
, w. z4 G6 n: d C( g' R3 g# P5 S& J for i=1:ngpool,& K$ r% q' T! ]1 {
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
: L2 F0 t8 S9 ? end
. Q# n: i- R4 F7 {3 Y' W0 @! C% record current best solution
; i F7 d# ]/ ?' G+ [[costmin,idx]=min(cost);
9 l- _5 @- S* j& g% N C8 R. wtourmin=gpool(idx, ;
6 J$ b) }" d) Q9 _) l- e/ rdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])% F5 b8 V2 e- H) ], s+ @/ E
end 5 n* t+ J& q. F/ D. p
disp(['cost function evaluation: ' int2str(increase) ' times!']). W5 g8 _" X- j3 E2 Z; U k
disp(['n:' int2str(resultincrease)]). a0 w: L ^" Z4 z: y4 @
disp(['minmum trip length = ' num2str(resultcost)])6 p% C* _, `& Q+ \" B( P* q
disp('optimum tour = ')& P" ^0 t; j; p9 x8 w: Q
disp(num2str(resulttour))2 ^' b4 i. Y2 a% T$ @
%====================================================/ O8 E- }4 R0 h, u
function B=randomize(A,rowcol)
: K. [) v9 p% s$ |% d c; J; U2 e* n% Usage: B=randomize(A,rowcol)
( @; r( d# t/ _2 k6 T- A+ R% randomize row orders or column orders of A matrix9 u+ S+ c" R1 G; v
% rowcol: if =0 or omitted, row order (default)2 ?8 k& P3 q2 U' f9 k
% if = 1, column order& [4 p, w2 }% z1 y/ w: v9 K
rand('state',sum(100*clock))8 c Z2 w2 R6 N( a# L
if nargin == 1,
" {, N* f4 ]/ o R2 l7 t, z rowcol=0;7 a. U6 v7 `0 w. U$ o
end
B1 Q4 B1 ~ a j/ @9 v8 b, I! Y# E if rowcol==0, i5 { u: |$ u! E
[m,n]=size(A);
& i: A$ C6 G9 F' R4 p9 V/ W# c p=rand(m,1);
' N+ b# o% ^( m" X4 h9 S [p1,I]=sort(p);8 i5 G0 U h' B4 I
B=A(I, ;0 r3 L% Q6 X: [2 m% _, d
elseif rowcol==1,& |% I7 o8 F E4 j7 g6 g4 R: ]. \
Ap=A';4 g* G/ u4 `" Q" q. w, x3 v
[m,n]=size(Ap);
- r" D# d) p }3 n2 | {$ } p=rand(m,1);; t5 Q! m" Z- I4 x0 x
[p1,I]=sort(p);* F$ S5 O c6 a# j, z" r; u6 R
B=Ap(I, ';
# v" J. V8 Z! x& z( mend. z- W! m+ m% F) g
%=====================================================
- W) X& U3 u. P6 j& r3 l! S0 dfunction y=rshift(x,dir)9 P8 z3 O+ [) t! a) z& b j9 r
% Usage: y=rshift(x,dir)9 U( v- c A* y0 A- B; q5 d
% rotate x vector to right (down) by 1 if dir = 0 (default)
/ b' u( V5 g) u; O2 Z4 k! z% or rotate x to left (up) by 1 if dir = 1
( z$ j# A2 ^6 E: s- W3 R5 ?if nargin ;2, dir=0; end
. K: y$ B) g+ a5 O9 K# S3 j[m,n]=size(x);4 Y' O# i" D% L
if m>1,
2 M; K2 D, \ m0 Aif n == 1, y2 H s6 @5 J7 e
col=1;
" l' F+ ^: q& n3 Kelseif n>1,
" a/ U: ]: r- b' `; D' T error('x must be a vector! break');
* t: ]" Y% a: F4 s; A6 iend % x is a column vectorelseif m == 1,+ R% x: V* x0 D$ x; {$ J1 b$ G( b
if n == 1, y=x;& J+ v- K( l y
return! g% Q- C" a, z0 A5 c$ H
elseif n>1,- C7 ^( i* @/ I' P
col=0; % x is a row vector endend, [8 h( l4 {/ l5 @9 O
if dir==1, % rotate left or up
6 Y/ n/ m6 s1 P. N8 ~6 X if col==0, % row vector, rotate left
0 p$ `7 v. ]0 J+ E y = [x(2:n) x(1)];
0 Y8 a; M+ g" M' U elseif col==1,
4 ~% n) S; p9 Z4 K; p, _" X y = [x(2:n); x(1)]; % rotate up( R l7 E3 N( `8 X% a' N z) p
end
: @- C+ A9 b, d4 J$ ~" A# L elseif dir==0, % default rotate right or down
( c6 |& `) p3 P4 P" e% @ if col==0,1 [8 {; Q' q; ^( m: D5 D& B+ U, O
y = [x(n) x(1:n-1)];
- g m+ @! T7 ~% x4 X elseif col==1 % column vector9 ` }. v4 z1 z r
y = [x(n); x(1:n-1)];" U4 O4 O- @ O# Q; b. d
end
0 V0 p, r7 n2 K4 Q; [( M end! |0 [5 T4 D% ]( K2 Z3 D
%==================================================" s; Y: _! W8 L
function [L1,L2]=crossgens(X1,X2)1 y; X9 j) m* f5 g) b* ]0 C o
% Usage:[L1,L2]=crossgens(X1,X2)
; ^0 d: r! @8 k3 Ls=randomize([2:12]')';
4 c" }$ A& r& R; xn1=min(s(1),s(11));n2=max(s(1),s(11));
" x L4 v8 c8 C: u1 X9 V$ CX3=X1;X4=X2;, h2 Y" k8 y! c0 d6 v% U9 m
for i=n1:n2,# z( k. \+ t4 x& ^" n" T/ `
for j=1:13,
* K2 ?+ P2 W7 r if X2(i)==X3(j),+ A% e7 [8 v: H3 Z: H
X3(j)=0;1 J; C; h n# t3 Z9 f Q
end
k( e% b& w1 e/ e* ~/ Z if X1(i)==X4(j), X4(j)=0;6 Y3 K+ P- H6 p2 N) c
end7 f J- s+ Z" \" x
end* _9 {( o0 ]" k
end% a# B: `7 \8 C! Q+ H* N
j=13;k=13;. q" ]1 J3 A/ L7 E5 H
for i=12:-1:2,% h4 C* \# U, M- B
if X3(i)~=0,' c, X8 M, }0 j$ e# k
j=j-1;
, q! [" c4 S9 L2 `. R) a t=X3(j);X3(j)=X3(i);X3(i)=t;" A7 ~7 H5 A. _5 Q/ \% m) X
end
$ y% r0 l+ ?7 m, i) q7 [( W) b( z if X4(i)~=0,$ w# M3 N; h1 d# f
k=k-1;
, t# q. V: D2 @$ y- `5 y; ^. X t=X4(k);X4(k)=X4(i);X4(i)=t;
- u5 A; a# @" H$ ?8 D0 B3 q5 z end
' a8 }; q: V6 H end
0 X# H' Y% f6 x for i=n1:n2* w, s# ]5 p3 Z1 f$ ?/ a( L
X3(2+i-n1)=X2(i);
6 [9 Q( p( R6 J1 }2 L X4(2+i-n1)=X1(i);
& |. f: t4 v. G8 y4 [! Y: R end
: r( G F* C8 y8 h9 _L1=X3;L2=X4;: G5 d) N6 I. B
%======================= |
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