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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!!!
& r8 x0 c$ I( Y4 k3 E. U& qdistTSP.txt1 [% x3 {' L- t$ p
0 6 18 4 80 \. @: h7 ]* k1 _% E* r3 g; L
7 0 17 3 7
9 ^# V! l/ e# R7 a2 Y6 }) K" R4 4 0 4 58 H! I4 C+ ]. P/ P- p" G
20 19 24 0 22$ P3 L8 I( X+ W6 K) h
8 8 16 6 0
2 w) U) d& J. _%GATSP.m
T1 L# r- n+ u0 F+ W2 ?" |function gatsp1()
9 N) g' ^" P0 N4 Eclear;- R# u7 g# ?: A0 U9 r6 d+ ]/ L; \
load distTSP.txt;
- c- J9 j2 H/ U, X$ ^1 }distance=distTSP;/ _; B" E9 p* j+ L$ K e- _3 f
N=5;, P9 `: Z: \ T
ngen=100;
0 e& L1 H7 a' e& B4 j Zngpool=10;
# Z; L2 t, F: |, Q2 u; N+ K9 c%ngen=input('# of generations to evolve = ');! \' e G1 ~' Y% g
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool5 S( H p7 B1 s
gpool=zeros(ngpool,N+1); % gene pool
V) ?& V3 m! Y% [for i=1:ngpool, % intialize gene pool) T) P% @) j9 C6 J; `" d/ C$ X
gpool(i, =[1 randomize([2:N]')' 1];
6 |+ e: @4 C7 \3 b9 M6 ~for j=1:i-1
0 y$ I h/ G6 F' V! u9 kwhile gpool(i, ==gpool(j,
0 F6 h2 }3 N+ t% `! z) V3 C+ T gpool(i, =[1 randomize([2:N]')' 1];
7 y7 _, ~( A4 A8 l6 y$ D end" w6 f2 [3 A% C% d
end3 [. O& w z# H0 }% s* M" T! |# X& n
end- J* |4 D* d& p( s; N
costmin=100000;4 B. u8 y, T8 g3 k! E! u5 ^$ P1 r- w- n
tourmin=zeros(1,N);
2 {# N/ G4 Z: f Y4 r Q; T cost=zeros(1,ngpool);
4 _2 a; P2 u6 Yincrease=1;resultincrease=1;
8 g6 K* c/ e5 c0 @5 I, {. p) F9 ? for i=1:ngpool,
, F$ w# s4 l/ z9 o8 l2 j cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
. S3 @4 n/ D n4 ?5 @! L6 L& w end
* e9 @: T m$ U$ @9 _# s9 f% record current best solution
! b* X" c# p' i! l- P' M[costmin,idx]=min(cost);
7 ~. }7 e/ f: l% d/ w2 Rtourmin=gpool(idx, ;
/ i2 h1 {5 c3 L* Q" cdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])# q9 c( w6 P% B- L( d* W* g+ d5 W
costminold2=200000;costminold1=150000;resultcost=100000;( D* q% ]0 r1 f
tourminold2=zeros(1,N);
8 Z/ X q% K8 o; ?8 G: d# z6 h5 G+ g) Ctourminold1=zeros(1,N);
6 s* p5 z" o) K' X$ l uresulttour=zeros(1,N);
& l" h: g% y4 `, twhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)7 W l3 W0 `) R. m1 w4 t: \
costminold2=costminold1; tourminold2=tourminold1;
7 z' }+ B2 P6 h! u5 ycostminold1=costmin;tourminold1=tourmin;" v3 L, H. F U; T/ Z3 V% ]) ^( n
increase=increase+1;
) O$ }& z- {: Z- [if resultcost>costmin
' E! N7 e# h* r+ K T5 ^" X resultcost=costmin;
6 s3 t* [2 ?/ O+ v resulttour=tourmin;
# o: M. a( H5 U9 S* o, X# D resultincrease=increase-1;, I4 W8 X9 M6 p
end
7 G% v; Y5 T9 R- b) ~for i=1:ngpool,1 d2 o+ ~; @3 n: w8 Y
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
0 I- ^. X; ?. |: f7 H, E$ yend* k: a1 f# o) T
% record current best solution
- L) v% j" I& g& K, w[costmin,idx]=min(cost);0 b! q8 ? A3 w2 s3 O5 v0 k
tourmin=gpool(idx, ;
/ c9 P! D$ d# g1 y3 Z%==============
' B* i# O0 z0 Q' T* o/ U6 ~% copy gens in th gpool according to the probility ratio
3 l# t+ K ~0 {! V% >1.1 copy twice3 O, C" l% k/ I% V
% >=0.9 copy once2 [$ P& f% H5 F: \( I2 V
% ;0.9 remove
4 z# E1 x( c3 @. F, F! h9 l[csort,ridx]=sort(cost);
. g. d. x3 l1 a! `( J# S% sort from small to big.* `+ V$ e1 y" e" J& ]
csum=sum(csort);
4 y9 N! g; {# p; Q: Qcaverage=csum/ngpool;. e$ M+ U4 [! M I
cprobilities=caverage./csort;4 e* F: J2 c2 M$ }
copynumbers=0;removenumbers=0;
3 J s' W/ {/ U5 A. p5 Jfor i=1:ngpool,
) j/ c9 E3 \( {% r if cprobilities(i) >1.1
' S9 D' H: E% X1 n2 b3 f. ^/ e copynumbers=copynumbers+1;% o8 P8 T0 T+ D! U6 Y
end
. ?# b ]; i1 U; H; l8 d. F7 w6 D& z if cprobilities(i) <0.9
9 p' @( Z3 ]( U* A0 p* n) Q" u removenumbers=removenumbers+1;
. x7 C# N( c" C+ C6 [1 | end7 j+ N# V6 T5 p8 B% \1 j
end, K( m6 J9 Q4 a
copygpool=min(copynumbers,removenumbers);
9 k2 X4 w6 E8 R- b6 ^$ @& j8 |8 v for i=1:copygpool2 G6 u& ~1 G1 p& s
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
( L0 N" {3 n1 f! v$ J, n0 U end/ x; |" `- |1 X* E
gpool(2*i+1, =gpool(i, ;
: D# x& \- u/ Z4 Q end+ G1 r. [" o( v9 G) h
if copygpool==0) n0 B c/ Q& _8 R$ R0 M
gpool(ngpool, =gpool(1, ;- y" X+ V5 t2 i) I. w
end9 z A6 d e1 h' z! t
%=========+ |' q% i- X$ q
%when genaration is more than 50,or the patterns in a couple are too close,do mutation1 l# [6 T: }8 o, R- H1 ?
for i=1:ngpool/2
, Z3 u! i2 x' N0 F3 C %8 B* t4 R+ R8 D' t, |, D' y
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
* w) o( ~: l0 L" i6 w5 _$ gdiffidx=find(sameidx==0);
+ @2 b2 a3 V# R4 k5 i2 c2 N2 n if length(diffidx)<=2
! K3 }) m& _7 T" O# S# V gpool(2*i, =[1 randomize([2:12]')' 1];
6 R G1 P7 v, r+ M5 k& \3 D- j7 j g end3 D% z; S4 k: @5 Z D
end; x* ?( D: m) \, ` O9 v- C! X
%===========
! \9 \# _* t b3 j%cross gens in couples9 r v! d) ~' U$ s$ _
for i=1:ngpool/2+ F9 [# a$ S& N( g" A
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );4 a& g7 E! y4 b2 f# G% V0 l
end# ]1 i# a& m) M: w
for i=1:ngpool,
8 P4 Z) w) n, F8 T% \: M- u& \4 b cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));4 k. T; T* v3 a2 J7 f. j3 b! J, t
end. Q+ B* ~7 I" u2 ?+ }' v8 f+ U
% record current best solution2 _) P7 e" V6 |0 R; p# f& k8 a
[costmin,idx]=min(cost);; M) J2 j k5 }7 l5 x
tourmin=gpool(idx, ;
# V7 f3 h% u# {& |: Rdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)]), C8 O$ l! J- o
end
+ f. C7 b: X ~1 p/ b8 r. }9 \& o- B6 qdisp(['cost function evaluation: ' int2str(increase) ' times!'])9 K2 s. h9 y. V d8 C; |$ S$ v+ [
disp(['n:' int2str(resultincrease)])$ x% c0 r8 X* Q5 W
disp(['minmum trip length = ' num2str(resultcost)])* e# T4 Z/ H6 N! ~( R. I d% w0 r
disp('optimum tour = ')
# \2 x' J/ W0 pdisp(num2str(resulttour))
9 I* g! f* G* x T, L" A8 I%====================================================
' \" k2 b" G& c7 {7 z( O2 ~7 p2 wfunction B=randomize(A,rowcol)
r4 T" c; Z) n: z1 d% Usage: B=randomize(A,rowcol)1 S8 B, G) X& g- k: ]/ t
% randomize row orders or column orders of A matrix
0 U4 I% d; h% ^+ F4 r) X( l' H% rowcol: if =0 or omitted, row order (default)
0 `8 Y0 y$ @5 X! S% if = 1, column order
4 h% \: `' d+ w2 x0 Hrand('state',sum(100*clock))' A; v% R% @9 N) K/ L
if nargin == 1,- E( o7 e' v7 ~0 M2 w
rowcol=0;
$ K. j. G. V6 O4 V" ]: Wend d( f% s; U# f1 w ^. T
if rowcol==0,
7 x; Y8 _6 T: y3 G" s1 i1 Y [m,n]=size(A);
, N; d$ |* f, X6 ~; j' D( I p=rand(m,1);0 D' V% V) H( j4 r% d# A3 O) D
[p1,I]=sort(p);
- J, n0 A2 Z1 R7 H. H8 [1 g B=A(I, ;
5 N1 v3 S+ }4 X' B, i/ ielseif rowcol==1,, c! k0 x0 F. o7 |, T
Ap=A';
# ~4 z( O. @/ T) V6 u% } [m,n]=size(Ap);
& R0 i6 j# i: v# E6 g p=rand(m,1);/ j9 {) N S& C6 M3 k; l
[p1,I]=sort(p);9 P8 ?' ~2 m4 U* i' O9 S
B=Ap(I, ';
3 O8 Z; R5 ?3 V0 Cend
6 R! f9 N! D6 J' L4 A% w: }%=====================================================
9 ~9 ]# W, K, c) {8 afunction y=rshift(x,dir)
. t T/ t' Z& N5 O$ ~% Usage: y=rshift(x,dir)
- i8 L9 p4 }/ R% @ _% rotate x vector to right (down) by 1 if dir = 0 (default)( @, R! D' s2 _ _# w$ U; Q, ^9 z/ j
% or rotate x to left (up) by 1 if dir = 1$ d; V4 ~, n% Z) M6 w
if nargin ;2, dir=0; end* E+ r6 c# r! S7 }
[m,n]=size(x);
% k; C, z3 O7 D3 Qif m>1,% ?' K4 Q3 \' q% _
if n == 1,# l8 Y% l$ Q, Q$ X' A
col=1;0 ?$ ]: K8 A7 [9 m6 h, @. m
elseif n>1," T+ D2 q: S; u% h8 L: ^* h0 A
error('x must be a vector! break');
% D2 z! p* O# [! x, Pend % x is a column vectorelseif m == 1,3 j& X% {# h% c% N
if n == 1, y=x;
4 N# P9 O, [; P8 P! j( Kreturn# g9 Y# R* ?! k- \
elseif n>1,$ v# Z2 m/ j0 W. [; A: j$ I
col=0; % x is a row vector endend! J* t6 i: C% z7 s0 S. R% }
if dir==1, % rotate left or up8 V& C& [1 c1 f1 m2 R
if col==0, % row vector, rotate left! E5 ]/ N9 M3 g9 Z! x/ H9 g
y = [x(2:n) x(1)];
8 E* O3 r: F" K E) | elseif col==1,# Y' W# s0 b \1 {! d
y = [x(2:n); x(1)]; % rotate up
) ^+ r& I1 f+ O+ Rend9 A6 v* r t$ q9 D
elseif dir==0, % default rotate right or down* j A& B, L3 c8 W
if col==0,
u6 b* L; m" v) R$ q y = [x(n) x(1:n-1)];
- _$ c( e, L. L) h! R) {3 @7 w elseif col==1 % column vector
3 i3 [* G2 b# u+ {$ q0 Y y = [x(n); x(1:n-1)];
* u2 J* J @. g( i* h! L/ Y; m end
4 r0 R# {0 J9 e! f; f8 q end7 n5 ~9 C2 A# z6 H
%==================================================$ ?+ o0 u D! x: I3 h* j
function [L1,L2]=crossgens(X1,X2)! |7 P( e% h/ ~6 I, t
% Usage:[L1,L2]=crossgens(X1,X2)6 ` B2 G" V0 K3 b7 q, f+ P
s=randomize([2:12]')';6 q) y+ s+ F: U* V1 h
n1=min(s(1),s(11));n2=max(s(1),s(11));3 A+ k: c7 s5 K
X3=X1;X4=X2;, {! X; ?: L5 l7 o
for i=n1:n2, j" y3 c, x3 @ t, S5 L
for j=1:13,
4 ?4 w: K4 e% X2 \ if X2(i)==X3(j),
0 O( i, e: w9 B# g0 \ X3(j)=0;
9 c! ~' M9 \9 s" \- v& {7 c8 d( a end
. q2 ?4 Y$ j& z* Q$ W% K if X1(i)==X4(j), X4(j)=0;
% h7 g7 l8 V) \0 @$ h) x end
* C2 }. l4 t y2 K/ }6 \6 p' f end
0 X. W3 D; b* j7 h6 p end
3 G }9 l! d. F6 K$ @7 [! P j=13;k=13; N" |& b' }( K2 ?% F; m2 Y. a
for i=12:-1:2,8 O! w9 u Z% R' V" d3 R
if X3(i)~=0,
5 _" B, }3 `7 h6 j1 z+ m' G w j=j-1;
8 B8 w: c" C* q# Z7 [( c# H3 w9 s t=X3(j);X3(j)=X3(i);X3(i)=t;& j+ g" \2 a1 N: q+ M3 G
end9 A' d- G* J, E- I' J
if X4(i)~=0,: g3 l" Y P1 b" d/ O' s" Z
k=k-1;& K# x1 o. D' F. x
t=X4(k);X4(k)=X4(i);X4(i)=t;4 M9 u( Q! k+ y' t) |- k
end7 Q8 ~2 D) \2 `: k, x$ [
end
* N$ Y% f% L+ U) k1 t for i=n1:n2
9 {+ J3 a- F& R X3(2+i-n1)=X2(i);
- n3 | Q' Z* {8 o6 X X4(2+i-n1)=X1(i);" N/ ^; ?' b8 {
end
7 X6 M% \8 N3 e9 O; ?; z! z3 _7 l1 XL1=X3;L2=X4;" i Y, L! K: f$ u' \, W
%======================= |
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