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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!!!
; _9 i6 C. A4 K( V; xdistTSP.txt! D' l7 J+ d7 B$ ]% A( d" U/ L; D5 T
0 6 18 4 8. M6 H: }- k$ y" j* ?% P4 q
7 0 17 3 7
6 m' E( o% Q) V4 4 0 4 52 e3 J0 V" X6 T1 X
20 19 24 0 226 n2 W- m1 _) X
8 8 16 6 0
+ L( }9 D8 g R$ Z, d: W/ x: x%GATSP.m+ K+ i8 t! H8 ]- @- R! S4 y1 f" b# w
function gatsp1()- a# o. g# X$ T6 b2 t6 Y0 v
clear;
0 R4 _2 [: Y- y! Aload distTSP.txt;
- S+ v! l" y# s, J* r5 kdistance=distTSP;
& \+ R d2 P4 k$ b; r5 }5 z( QN=5;8 s3 h9 v2 `! o$ ~$ P# j0 I* R$ I
ngen=100;
/ f3 c4 M: E$ ingpool=10;. ^/ `, O; R1 ?- ~( v) k
%ngen=input('# of generations to evolve = ');
+ I |4 v7 U* a; w& z%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
& T& B& S/ ~. K. @0 S$ r! b8 O) ~gpool=zeros(ngpool,N+1); % gene pool3 r$ ?: H7 P0 d" I0 T9 q
for i=1:ngpool, % intialize gene pool
0 c% I0 ]$ G7 v" B- c, wgpool(i, =[1 randomize([2:N]')' 1];
2 N5 y, d: j8 _for j=1:i-1
7 e- L7 z5 Q8 J" [) P& y' [: p* @while gpool(i, ==gpool(j, ; l& d* w/ j$ ]; B
gpool(i, =[1 randomize([2:N]')' 1];
" S- m& }3 o _ end7 `# w, `7 g3 Q
end
' s3 L5 s. t7 B5 I5 d7 S* u. |1 i end
2 U6 A5 R" @) x9 w! h; k2 {costmin=100000;
. H& n( h- i" L+ z' O* k* a" x tourmin=zeros(1,N);
% n X$ f7 e! n+ { N/ A; Z" T cost=zeros(1,ngpool);
( p2 W2 L8 a. a. `( iincrease=1;resultincrease=1;) n) ]5 E: M" o1 L- Y/ L
for i=1:ngpool,
/ }, Q/ }: R2 u/ L* M7 p0 b2 _ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
, {. r) v5 {+ l* v E end9 E P! C& r+ Z3 ]
% record current best solution' W# R5 g+ M! B3 L3 {6 D. R' h
[costmin,idx]=min(cost);; C6 E/ e3 F: C% T# m
tourmin=gpool(idx, ;$ T5 T8 H0 T! @% c$ l1 {+ g& l! _
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])* E+ C* c8 i4 O- F+ T5 Y
costminold2=200000;costminold1=150000;resultcost=100000;
, f8 J, H/ c' D" Z' k0 T/ B! ntourminold2=zeros(1,N);- S: u1 y! A6 M8 Z
tourminold1=zeros(1,N);
: x, o; i/ k/ U3 u kresulttour=zeros(1,N);1 M/ y7 f+ I9 ]7 h1 _" D
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
- V, s9 x( w, C F6 L* L+ l/ mcostminold2=costminold1; tourminold2=tourminold1;7 ?. E+ S0 X2 b5 E" B& _4 B8 q$ f
costminold1=costmin;tourminold1=tourmin;9 p/ K2 J! E: B* ]6 O/ W, `! f
increase=increase+1;
7 @1 A; T. m2 R0 I. w. ~" O' Sif resultcost>costmin
; }9 R6 j; K2 a6 X3 O resultcost=costmin;
3 p* N; q) x) Y R resulttour=tourmin;3 _/ T, \0 _( V2 k& M+ d
resultincrease=increase-1;
0 i% d9 _2 p7 q end1 E1 w) G f5 s: ^ S* D! F! P5 @
for i=1:ngpool,
" Z/ i; P0 r$ Y4 a+ r cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
^6 i1 ]. U, u$ ~% Oend
. v5 i" I/ O. l: L+ b& n0 U9 i% record current best solution
, N: l8 d' ?: K5 ^* h( f[costmin,idx]=min(cost);
1 G) ^ ]1 o0 s. k, Otourmin=gpool(idx, ;
- Z" `) G" W2 [ N2 K+ R%==============
# g3 a s: q+ ~9 x% copy gens in th gpool according to the probility ratio
. L( |6 T2 g& s5 P$ J4 a% >1.1 copy twice& L; N2 D. Y H! l% `+ [
% >=0.9 copy once
& e' H! L9 q. f: b- R% ;0.9 remove8 \4 v3 Y. I* b p
[csort,ridx]=sort(cost);
) d' p( ]: x) v7 k+ L2 P* m# u+ U% sort from small to big.0 [. I3 i: ?$ e- E
csum=sum(csort);8 o. C! h9 Q0 c, R& R
caverage=csum/ngpool;
l5 e+ j- z5 l; l7 dcprobilities=caverage./csort;
* v* A# _2 W. @7 P* P* I9 Jcopynumbers=0;removenumbers=0;% k# q- V4 s& C5 j2 k$ E! H
for i=1:ngpool,
0 u# o w& c) _" E! o+ R4 { if cprobilities(i) >1.1& Y# J1 N! Z7 A8 I
copynumbers=copynumbers+1;
' `" |8 U; c! ^6 j. T end
: r. l+ B* f2 c p' G/ ~ if cprobilities(i) <0.9* N% r7 h( C( p0 @4 [
removenumbers=removenumbers+1;
3 Q1 n v- m9 y) X! t+ x' v0 Q end3 b. N5 i3 y/ w& a: @
end
' ]' Q5 a! B' \9 \! m9 h# U copygpool=min(copynumbers,removenumbers);
# q8 U& _% r; c) p for i=1:copygpool3 w: I0 J: K* q6 r6 P: }
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
3 }& b5 t) L$ p% z+ A! I1 T, o4 G end; @: u- G# r1 l
gpool(2*i+1, =gpool(i, ;
5 U- j( R( j3 S end
6 h* ?' @) V$ g2 B if copygpool==0& L5 ^2 G) @" E% [7 Z* C
gpool(ngpool, =gpool(1, ;% K! W+ [/ D# B7 F7 o% O8 h1 G
end4 c, ]9 i) a' k$ Y4 b
%=========
4 o+ J2 A$ F9 i$ L%when genaration is more than 50,or the patterns in a couple are too close,do mutation) @" U3 {) i1 u
for i=1:ngpool/2/ b" {9 M( N. p( L' A
%
+ A, p3 G3 q3 T5 o. k6 O4 W& Usameidx=[gpool(2*i-1, ==gpool(2*i, ];
+ w% k2 h0 d( Q. _1 Y: Gdiffidx=find(sameidx==0);6 X3 i) H" C+ }6 w! C+ p
if length(diffidx)<=2
- T, k4 S8 K S" m6 x/ U' G gpool(2*i, =[1 randomize([2:12]')' 1];# ]+ x) }+ \5 {0 {
end
. P2 T2 Y0 N' f- o7 S7 Q end/ X+ a! f2 n# h) L
%===========; J& F3 r0 [4 G2 Q. N3 n4 x
%cross gens in couples
) u; ?# l* k+ C: ^ c for i=1:ngpool/2
( W& b" b5 |' O0 {% X [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );+ e4 C. l( h- S+ R+ ~
end
1 I$ \8 W7 w3 h: _: s7 m9 Q for i=1:ngpool,: t: M" R. A/ M# L- G& p
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));$ c! r+ H5 O1 B. C8 T# B
end
: j6 l7 `- j2 S- J% record current best solution
0 E0 o$ }# b$ [[costmin,idx]=min(cost);- d1 H4 R T' N$ N7 e5 d
tourmin=gpool(idx, ;
a2 u* E2 ^; p$ Y9 f0 @4 E. M1 Kdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
- Y: E/ [) W V, G* i N% f1 m) yend % m( G; m9 W& `% ]) l( z8 E
disp(['cost function evaluation: ' int2str(increase) ' times!'])9 @1 H+ V) s' w
disp(['n:' int2str(resultincrease)])
8 o/ x, H" U) V6 G, Mdisp(['minmum trip length = ' num2str(resultcost)])
; J5 W' j! v* s1 Hdisp('optimum tour = ') W6 i$ x, F/ C2 g) u' ?# u+ g2 @
disp(num2str(resulttour))$ S; z8 {, w1 j
%====================================================
, S6 b% P. z8 T4 @, l3 l9 Pfunction B=randomize(A,rowcol)% u# Y" q3 u/ ?" z, F/ P) Z
% Usage: B=randomize(A,rowcol)8 A3 o" q& a9 K# E
% randomize row orders or column orders of A matrix/ c4 D4 A0 X/ }) `% M3 g) ~0 r( C
% rowcol: if =0 or omitted, row order (default)
l, r6 [+ r+ g/ B% @1 S% if = 1, column order
( M- w) a5 T" S3 j, i/ r+ Erand('state',sum(100*clock))" _& f+ [ d2 Y- d; a7 a
if nargin == 1,3 ~; @8 w" ?, U7 @' Z; T
rowcol=0;1 H- |9 _4 |, E- ?) j# V9 y! [
end
7 S( C/ N: x& l% C7 B+ w- m if rowcol==0,2 N6 u/ U' s7 z
[m,n]=size(A);0 q Q0 ~( t# L/ [0 n
p=rand(m,1);& S4 ^! k6 [- O$ S) G
[p1,I]=sort(p);
2 z' k, W! h6 h9 i; N B=A(I, ;
" \" f/ t$ i2 B8 s9 X" X- Y+ Ielseif rowcol==1,
; a/ l1 p4 h$ h/ o- |' P- } Ap=A';
7 u3 z8 d& Z" W& G" N' T+ m6 Z [m,n]=size(Ap);* A8 y6 U# I- S2 t( j& _% ?
p=rand(m,1);
* z* Z" F$ l* T6 t: P: e [p1,I]=sort(p);5 b" g8 K) g0 h0 K0 l9 m
B=Ap(I, ';
, @- T6 G c; m, Q, a7 i+ O6 Fend
& v) h. p* B! L, m* x ^%=====================================================! p' ~5 q4 t) S
function y=rshift(x,dir)9 ?# i$ I3 P- b
% Usage: y=rshift(x,dir)
2 L1 p3 V! D. r% rotate x vector to right (down) by 1 if dir = 0 (default)
% W9 o3 u+ t( f9 Z& u% or rotate x to left (up) by 1 if dir = 1
. Z& E0 x5 C* ]. E) v1 v2 Yif nargin ;2, dir=0; end
) a: @ w% Y6 P! J7 ?/ m[m,n]=size(x);
' u2 m% T7 p' W& F9 \0 {! }9 z3 Fif m>1,( z' A |' s0 @0 y( D, ]
if n == 1,: v; c3 J2 N: g' _! |
col=1;' D# S. ]! B; V8 ^; ^
elseif n>1,: t7 P; ~- a+ I4 o) d% R& e# p
error('x must be a vector! break');" s6 ~; ]: r/ u# U( B
end % x is a column vectorelseif m == 1,8 ~( P8 H0 G; G+ ~3 \9 F8 F
if n == 1, y=x;' Z$ w' \0 ~$ Y! G' p
return
, K" e l. ^4 ]" u7 Melseif n>1,
! `5 y6 U: m0 V% h" Y! t col=0; % x is a row vector endend0 B8 @- _0 b7 g1 D% a/ Z
if dir==1, % rotate left or up
+ g+ H, C: f. ]1 J" [& B7 c if col==0, % row vector, rotate left. w4 M# }) Z- ]2 W
y = [x(2:n) x(1)];8 N H+ W+ ?2 s; H1 k
elseif col==1,, N. ^4 \0 J" M* r( R" L
y = [x(2:n); x(1)]; % rotate up
$ u6 S$ T7 w J `end4 l9 n b( o, n" \7 P
elseif dir==0, % default rotate right or down
2 I4 C9 l C( R, K6 ?0 |8 M: Y5 P if col==0,
' X, B+ h; Y V" u* T8 i( z y = [x(n) x(1:n-1)];/ m( e- u5 I- A3 W) F6 F) H
elseif col==1 % column vector5 Z ~: y( o9 x7 X8 ^: i
y = [x(n); x(1:n-1)];
: G1 N4 i3 a% s2 |& o end s' S7 k6 Z& ~/ a. z
end- S' N) ]5 Q( n2 |$ K8 E- Y
%==================================================: }0 m& r; G% v% }6 ?( m; \
function [L1,L2]=crossgens(X1,X2)" m0 b. x2 u/ Q5 h' @! |6 k" C
% Usage:[L1,L2]=crossgens(X1,X2)
+ m4 C% x, A2 V& c& C* b3 Fs=randomize([2:12]')';
& G2 V; X q* n& Nn1=min(s(1),s(11));n2=max(s(1),s(11));2 d$ ]! G2 m% Z6 a5 \# Q
X3=X1;X4=X2;, G! _( R. c9 P# }
for i=n1:n2,% n6 S( b+ c! X& {
for j=1:13,) D$ t+ G4 F% s- d4 B
if X2(i)==X3(j),
; N2 o6 q! B( C; l t X3(j)=0;. }7 L0 [' M0 j' f) ]0 H
end9 n+ @3 o3 I; i% N; X1 }
if X1(i)==X4(j), X4(j)=0;3 K% m& G; R _/ m* J
end
3 @5 R. n, C6 r1 |7 q: `+ E end
3 a j, L$ c. V% c1 w: I/ q+ c end
6 N4 ^. R. J3 \) l3 p j=13;k=13;0 P$ [% l4 S( X- P! @5 ?
for i=12:-1:2,
6 x) U5 X1 U3 ^4 I if X3(i)~=0,; {, W2 M/ S$ ?+ T4 w* J8 h- @
j=j-1;1 V" b4 ]. x" u2 H( A T- o
t=X3(j);X3(j)=X3(i);X3(i)=t;
/ Q5 N" K n# s9 d end1 C2 o& W' ~6 Q2 E$ q
if X4(i)~=0,
4 ^( [' D4 w/ c9 T k=k-1;% |8 U7 \ j" b) W+ P; M- @
t=X4(k);X4(k)=X4(i);X4(i)=t;$ U, f; K8 x, _
end5 T+ l. k S1 K$ O
end( G; k5 K- I, g, J/ M
for i=n1:n2- R/ X Y# ^& ]7 ?5 x1 _; ?- o
X3(2+i-n1)=X2(i);
F+ K* I% d0 F* } X4(2+i-n1)=X1(i);/ l9 \. j9 E: z) X: v" d# t
end3 v5 U0 z$ g$ u) |8 I$ P
L1=X3;L2=X4;
3 z8 `0 J8 f6 o6 q) P%======================= |
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