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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!!!0 l) M1 p/ m% Z3 A
distTSP.txt. E% b8 T s. z# V. y: _4 X9 @
0 6 18 4 8- w9 p$ r" {1 u# o. I) W5 h, d, W
7 0 17 3 7
, ]+ i8 `' T% C# E4 4 0 4 57 N0 ]( @ C, |1 |
20 19 24 0 22
9 L q6 t8 d! A" q; _9 c1 X8 8 16 6 0
8 ~' ]2 T! F! m" t6 f T%GATSP.m, G8 M! }/ w* b& z M' a7 H5 l9 ]/ p
function gatsp1()% U: M; D1 r2 Q# ~
clear;! H; D) p! u. C4 C; L9 g$ B2 g
load distTSP.txt; ?! {: r; c4 ~
distance=distTSP;
. M1 j4 c, _$ Q1 e3 _+ y" j7 c$ }N=5;
; e, t4 L+ K( }1 J2 s# R7 h: N& z, Nngen=100;) u( k- Q; ]3 v- d9 P) k% t# O
ngpool=10; l* s$ I" u" Y0 ~8 |' }$ s
%ngen=input('# of generations to evolve = ');3 g1 G- |5 n6 K5 G) x
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
8 H% P# z& K( O9 vgpool=zeros(ngpool,N+1); % gene pool! ?/ t9 k9 B/ A$ |- b2 u
for i=1:ngpool, % intialize gene pool; t; u; |! h3 _+ y# b
gpool(i, =[1 randomize([2:N]')' 1];* l! \( {' S1 s7 ~9 C9 a, f' Y% t
for j=1:i-1 V. I+ g$ p- _' c" j
while gpool(i, ==gpool(j, 1 Z( B1 R- e; s7 M4 y9 @% L5 m$ C
gpool(i, =[1 randomize([2:N]')' 1];1 \2 n# v% w# Q! F
end
8 M0 w9 p9 C) ]% Q! _0 H end
* E; {* C0 ]( d$ Y8 P# [ end, [- \+ x( M+ Q$ I
costmin=100000;
8 ^2 U: h$ t) |- Z tourmin=zeros(1,N);/ S6 S% p/ A( j! p2 v% o E9 Z+ b
cost=zeros(1,ngpool);
) b: Q2 q0 ]4 k' m2 N& E: ^increase=1;resultincrease=1;% E7 ~3 ~- {9 n- B. T$ D
for i=1:ngpool,
' _$ Q/ A% {# D4 i cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));, u2 i; u- {5 V: z& ?4 y, R% W
end
% ` i* M# g' B0 ?! [9 j' X, f4 P% record current best solution1 k" ]2 g* t w' J
[costmin,idx]=min(cost);
2 s# E. ~2 Z$ N/ Z' @! gtourmin=gpool(idx, ;
/ F( N2 l4 w9 Ldisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
9 _2 k, D, H/ s! k Qcostminold2=200000;costminold1=150000;resultcost=100000;
& G8 C$ `. o' M5 r; A) @8 f3 Jtourminold2=zeros(1,N);+ x9 B( P& t1 H. z" P
tourminold1=zeros(1,N);
0 t( U! \5 C) Y: X# D- Q& o$ Mresulttour=zeros(1,N);4 C# [9 [- `& g; i7 I: _3 O
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)% z/ W" x1 o0 {1 [
costminold2=costminold1; tourminold2=tourminold1;% b6 k" ?$ M( R( \3 `8 a% o
costminold1=costmin;tourminold1=tourmin;/ M5 Y2 ?( R. B# y6 e1 k
increase=increase+1;
5 r! R: M6 ]& ?+ o3 E sif resultcost>costmin7 b( a# @8 n! M: X" Q
resultcost=costmin;% \1 t8 a3 F- p7 o7 P2 V: F2 d
resulttour=tourmin;. C' U" [6 h5 u. F# Q0 N, O
resultincrease=increase-1;9 N G. ~+ x, \* f
end
" Y0 B5 o* D1 D" s. r. cfor i=1:ngpool,
- u+ F; T. P7 [) l7 A: ^ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));: n1 Q% _ ^- v8 S" t
end
4 I' w. x I) S/ Z% record current best solution/ S; `* v- l7 s4 k1 J4 b; S% V
[costmin,idx]=min(cost);
: o; y8 [( C ?# A# stourmin=gpool(idx, ;
, D0 ~" @* r$ n% b* R, V3 |3 u; S%==============
1 I- E- s- \+ I# R1 j. r% copy gens in th gpool according to the probility ratio
" u% k- L" F1 Y/ T$ Y% R' C) I% >1.1 copy twice8 a# l. i, ~$ a% J: m
% >=0.9 copy once
4 b. D* {! f) u, r% ;0.9 remove; S0 a# i, n. _+ ]! E$ e7 t
[csort,ridx]=sort(cost);
6 d& b8 q4 T- y1 d8 N( w* K) z$ T0 e2 H% sort from small to big.! k: w. N9 b# j) D0 X6 U
csum=sum(csort);
: G2 j" \: k% w2 d% ^4 M( c+ zcaverage=csum/ngpool;
9 ~9 u; O) R. g; L2 @, w+ D! Ncprobilities=caverage./csort;/ v* R6 |! _1 s- i% D% _8 w2 L
copynumbers=0;removenumbers=0;
. d) L4 C! w1 Cfor i=1:ngpool,
+ H3 d/ u1 K/ L6 e- i* ^ if cprobilities(i) >1.18 X7 H- p( E: _3 m3 `4 H
copynumbers=copynumbers+1;, k5 L4 Y* X6 [' b/ V3 L
end
2 t1 O a# s6 R# W3 d if cprobilities(i) <0.91 R2 |7 C! X. m |0 c4 B/ o
removenumbers=removenumbers+1;
, j1 m. w/ G* x end
; W: x. G. x6 w1 M" R! {. U end; |$ p I$ B5 p0 T( `3 i
copygpool=min(copynumbers,removenumbers);/ g3 Y# A1 h1 D
for i=1:copygpool; u; n0 L% T5 C! w- w7 }+ p
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;) D2 ]- J7 d& c! C
end) r" Y+ f8 G; }; l
gpool(2*i+1, =gpool(i, ;
- f! N$ K+ b0 i: e& _4 d" | end' {& z: [, N/ b9 n
if copygpool==0" a" i0 k9 V- O3 c) k& t$ H
gpool(ngpool, =gpool(1, ;
' b9 S6 m% o% d end
+ S; u& ]( H3 g2 N%=========8 g! _9 G# Z' c H
%when genaration is more than 50,or the patterns in a couple are too close,do mutation
' ]1 B4 a" K5 q* X' hfor i=1:ngpool/2
( x4 w/ D1 t6 f) k7 n. o %
& U; R" o- O5 t4 Y5 Xsameidx=[gpool(2*i-1, ==gpool(2*i, ];+ `, q k( h6 A. T z) B3 }; q: W
diffidx=find(sameidx==0);# p5 i3 s( T7 u c/ Y- l! D
if length(diffidx)<=2) C' K# v$ _: Q' c3 T
gpool(2*i, =[1 randomize([2:12]')' 1];! ^/ \, P/ M+ b
end
- [3 k3 H5 ^3 M1 b6 c end
& ?, p; Z( k( R+ k%===========3 M( c5 |1 n5 x4 q C: `: T2 [
%cross gens in couples
; [8 B& E; V Q7 U' J$ E. ` for i=1:ngpool/2$ C2 [" f2 j Q' N. {
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
6 _& { l7 x& t. ]) R7 @, } end" S9 r' c- f/ f
for i=1:ngpool,# l/ c! ]) n" Q, b& R. J
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
2 k9 A, D B4 L' I6 W# j end
: J- I d" W' n9 A% record current best solution. \3 U+ m, B* [, @: u5 h* Q+ Y
[costmin,idx]=min(cost);
+ {+ }$ Q1 u9 A7 ^( _% Q; e( gtourmin=gpool(idx, ;( e+ i! f$ i( D4 N
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
( a0 g7 O; X$ N% iend & N- J1 g0 F% k2 t
disp(['cost function evaluation: ' int2str(increase) ' times!'])7 f- w4 j+ @ T4 \* G$ u
disp(['n:' int2str(resultincrease)])' t8 W; I' d" a
disp(['minmum trip length = ' num2str(resultcost)])
$ ?- G$ T7 L; X) K/ ydisp('optimum tour = ')4 G& b3 S- C# U$ X' O0 H7 @
disp(num2str(resulttour)); s% S# \0 F. a" D6 f
%====================================================6 H6 a+ ?' t w* p8 i
function B=randomize(A,rowcol)
2 x' l! B$ Z6 N3 s; \% Usage: B=randomize(A,rowcol)5 s; R% P7 c* y" l$ K% [+ D$ t
% randomize row orders or column orders of A matrix. I e: K! Y3 @
% rowcol: if =0 or omitted, row order (default)! ]7 X7 F( i7 ?; [0 I) x
% if = 1, column order
# N) Y- W6 M+ K' i& g' N. grand('state',sum(100*clock))6 X8 o/ z; Y/ O
if nargin == 1,
/ E1 u6 @+ i8 k! V- y6 g rowcol=0;
, t% X; [* k- V3 xend
1 s7 d1 v7 R$ d$ a M! Q6 N if rowcol==0,2 Q% p+ X/ C5 t6 c( I# P% O) g; Z
[m,n]=size(A);+ I& i# P* P, X: G1 `/ B" V
p=rand(m,1);
' o+ y7 j$ P+ S" l8 J9 W5 y [p1,I]=sort(p);
7 h9 A; r0 ] V# }: E! \; c% q B=A(I, ;8 Z9 T* U. o% I7 Y; u# [, y
elseif rowcol==1,
. c% T( C+ B( C k: z Ap=A';
+ q8 U( C8 n8 F2 r/ o: u [m,n]=size(Ap);; V0 h+ |; x+ z! ^
p=rand(m,1);1 g' n: G& t% D9 k4 [% ~6 t
[p1,I]=sort(p);. N( a# @$ R' u% j3 a3 B
B=Ap(I, ';
6 U5 D( r# j9 F) Vend
. \ }& G$ _* N4 x" j+ [%=====================================================. @2 h; f% w; ^( y! s( ^* w
function y=rshift(x,dir)
9 R$ u* c; G0 p' S, [9 q! \7 I% Usage: y=rshift(x,dir)
# ]$ U6 ]7 }9 ]& N# u) @% rotate x vector to right (down) by 1 if dir = 0 (default)9 P$ p f& M! _4 [/ Y5 A+ D
% or rotate x to left (up) by 1 if dir = 13 m/ m4 o* G0 Y( y `( ]* n
if nargin ;2, dir=0; end. r% Z7 B z+ N) C% U
[m,n]=size(x);
5 M% K! A8 g/ K6 t. @4 v" I: hif m>1,
7 C0 q! T' l( @1 aif n == 1,
9 t' T6 P- v& L* t col=1;5 V) c8 Z1 D2 |! G5 S
elseif n>1,
, E0 H- D: g( T/ K) j, Y error('x must be a vector! break');
( K* `3 ?. s: x1 R9 g3 Kend % x is a column vectorelseif m == 1,
5 r6 v* M; W3 `( N6 y8 ^( \if n == 1, y=x;
2 F2 _+ B8 C! Z! f, [# Preturn
& z5 y/ m6 E# `- N5 b N# _elseif n>1,2 C* A# @+ j1 X# f
col=0; % x is a row vector endend
' b9 S4 d2 i( X% J7 K. oif dir==1, % rotate left or up0 _/ D7 t' j, ?% l( ~+ U, T: L4 j/ z
if col==0, % row vector, rotate left
, [/ b2 c1 e2 x% X3 i0 u9 c y = [x(2:n) x(1)];
& q9 H8 p0 {2 c3 @$ ~( i0 K elseif col==1,& F3 u4 {" k! K* A/ i2 q
y = [x(2:n); x(1)]; % rotate up
+ S+ O: x* y$ s8 tend; M* v5 P0 l) k/ A( j7 L) I! F
elseif dir==0, % default rotate right or down
$ o9 Y% B7 I5 }( q" L7 S: Z4 X2 G4 L if col==0,
/ ~# V7 S8 ^$ X W* c2 m) O y = [x(n) x(1:n-1)];$ Q/ ~( Y- v" Y0 s
elseif col==1 % column vector
" ~* ~; l$ n; D' ~' r y = [x(n); x(1:n-1)];
* _. Y: k6 x/ l& p/ T* ~, } U0 B+ F6 e end2 P* C5 E3 w( {. r3 V3 {
end
6 y8 t/ [& G$ R, J%==================================================- ^, _$ |2 R7 h( a4 g+ r
function [L1,L2]=crossgens(X1,X2)
: W, z/ V. r) G5 L% Usage:[L1,L2]=crossgens(X1,X2)7 l! u" c/ Z( o( P
s=randomize([2:12]')';: P4 H$ x1 Z' w4 s' [
n1=min(s(1),s(11));n2=max(s(1),s(11));/ E1 D& s+ |. J) _
X3=X1;X4=X2;3 Y/ \. {5 O' F, R
for i=n1:n2,
# ^1 J* r y9 [/ E' B) b! K for j=1:13,
8 \2 h' l0 ^1 ?0 ~' @+ s2 h if X2(i)==X3(j),, D: j, l% e+ N# c, x- j' y. B, s, j
X3(j)=0;1 ]& I6 H0 d5 I! o
end
' L& r4 W, h+ F6 Z! b if X1(i)==X4(j), X4(j)=0;- ?, K' Q5 }% x2 T# t n2 R/ S
end# H% h6 x1 s1 c# L3 }9 x5 N9 q' K
end4 X1 ]. `8 x- {) _
end& q" d9 y7 Y, m% a* l% h' V6 C4 ?% k
j=13;k=13;
; I& C& K* i. ]; N! [4 V/ } for i=12:-1:2,/ j- j% p, l' V) h8 B1 i# a! Q
if X3(i)~=0,5 P* _1 q6 Z$ Z9 r7 S+ r+ ?
j=j-1;# H: l6 u- D( Y
t=X3(j);X3(j)=X3(i);X3(i)=t;( ?3 z5 h( j* g# S/ z0 e' G
end |1 h, I( p0 O0 M# i1 `; A
if X4(i)~=0, E! d2 j1 ~% |% G
k=k-1;( J2 o2 W+ g4 @, |
t=X4(k);X4(k)=X4(i);X4(i)=t;
5 u2 `4 O7 \* z" G; o end
) q- J& E0 N; O6 S end6 k$ G! G& x, N2 o1 P
for i=n1:n2# H+ q# `1 @* z; e& o0 \
X3(2+i-n1)=X2(i);
) R: h/ _& I; v) L1 q7 Q% r# a X4(2+i-n1)=X1(i);
) K7 `; H/ I u end, t2 X5 _/ X" Q$ Y: E$ Z
L1=X3;L2=X4; {/ D( ]9 B9 M/ Y
%======================= |
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