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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/ L7 ]' X& h9 n# m7 `
distTSP.txt
+ w, R1 F6 R2 m: _! }" u- n0 6 18 4 86 Y5 v" A- A4 h( ^
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# z; S) P3 e5 J# D3 d) v; }) T# f2 L4 4 0 4 5
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9 w; r2 R0 P0 a0 L" k/ b4 o. h8 8 16 6 01 M" w3 T1 A- y9 \. b2 C5 d
%GATSP.m$ ~1 y4 | y5 k+ `# B
function gatsp1()
% h( q) Y9 K1 ^/ g# zclear;, }* v1 w7 |+ }8 `
load distTSP.txt;0 p7 `& B1 I- \' Y6 x
distance=distTSP;
2 o) ^) p$ s: \3 ^* YN=5;
% J+ p" m/ w! o; [' ^ngen=100;6 k, l1 c& ~; O/ u T) i
ngpool=10;
# G) e- y4 G- G4 h%ngen=input('# of generations to evolve = ');
! \ f k, a3 s' a6 p# [%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool# b$ h7 s/ {' L
gpool=zeros(ngpool,N+1); % gene pool$ H, g2 {, D" d3 I K
for i=1:ngpool, % intialize gene pool$ h* W" T" m1 W) W1 X' e/ s& b
gpool(i, =[1 randomize([2:N]')' 1];
% r6 a+ b( e: O- ]3 Xfor j=1:i-13 p! {8 F7 \8 W, n8 j Y5 p
while gpool(i, ==gpool(j, : m0 @+ A' N. @5 {: I7 u
gpool(i, =[1 randomize([2:N]')' 1];
/ @3 O0 w: P% { end* ]) l! E0 [) ^6 X" [0 e. u2 T
end; p1 A) S* k! D' l$ I& ?; w2 P
end
' }% d9 ^4 S+ M* w( _# xcostmin=100000;
) ?9 k7 T7 @' f q) F tourmin=zeros(1,N);
/ G" S6 A( d* D; g cost=zeros(1,ngpool);$ B( g. ]% G9 u8 g* e5 k" ~$ W$ s
increase=1;resultincrease=1;
! n g0 [/ U m& J/ K for i=1:ngpool,
5 C+ n8 S4 {' ~ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));: e/ |7 {" Z" j
end- ~( A- T# C% e" l6 s
% record current best solution, o) p8 _( M, E! u& l1 H
[costmin,idx]=min(cost);
; i" ^. C J2 {' ^2 Ctourmin=gpool(idx, ;2 ] j: v3 b2 R
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
( j% Q7 E6 t3 a0 b2 Wcostminold2=200000;costminold1=150000;resultcost=100000;
& F# `5 V& V# b! S/ e6 t& }tourminold2=zeros(1,N);
/ x2 L& O% _5 htourminold1=zeros(1,N);9 Q% _" P. l: U/ I
resulttour=zeros(1,N);
, `' U* K" C# ~, J+ G4 ?while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500); _' X* G) w) Y* W/ g3 w
costminold2=costminold1; tourminold2=tourminold1;
5 Q, A- K# A. g& `- k; kcostminold1=costmin;tourminold1=tourmin;
w, M, n% R. S$ E0 oincrease=increase+1;
0 ~6 o" I$ g; d8 |8 Uif resultcost>costmin
0 L8 N9 Z3 N- v9 M resultcost=costmin;/ {+ G! J+ |9 M9 J
resulttour=tourmin;
5 V8 k" W$ v. f6 [ resultincrease=increase-1;
0 e1 w* H1 Q# u: ^5 D, e$ U end
2 P( q3 X( X$ b- i. f) U3 Sfor i=1:ngpool,
- r; D; j: @) V* C' H cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));2 D6 y1 ^/ o. O) |7 F- a% c
end5 ?7 K, Q/ m0 ^! X/ X1 r0 w
% record current best solution' ]9 V0 b* K+ Q7 a! n, U& I' W* ]) Y8 n
[costmin,idx]=min(cost);
8 L* y/ I9 s' L3 D1 Utourmin=gpool(idx, ;
) o3 _% A" _' I# W%==============. m* z5 A* ~6 O: Q
% copy gens in th gpool according to the probility ratio! P$ t! S, i1 e4 I! O
% >1.1 copy twice+ a( P5 r9 [& x. i P: T
% >=0.9 copy once1 i$ C' X- @, B
% ;0.9 remove
2 R) W3 t/ ?7 u$ s% l# _: i% f[csort,ridx]=sort(cost);
3 U( r" i1 X7 I% sort from small to big.& l% Q5 ~# ~' V8 i7 V6 Y
csum=sum(csort);
7 }0 ^$ N* |! k! e8 G8 Y, Hcaverage=csum/ngpool;
7 G9 G: o, W i# q6 _7 c/ @( u* R# Dcprobilities=caverage./csort;
' B" f' @$ W% v/ jcopynumbers=0;removenumbers=0;
1 E5 Z0 {7 o8 _0 H6 E5 Tfor i=1:ngpool,' q9 m, A8 l& U3 ^+ B
if cprobilities(i) >1.1
5 T4 w1 V- v# W4 M% N( A- m2 A- A copynumbers=copynumbers+1;* r# j# P4 Y: y' w/ E2 Z3 M$ l$ T
end) [1 ?. ~6 E- ^6 [0 B; s8 ~
if cprobilities(i) <0.9 o" w. _$ Z, g9 ^
removenumbers=removenumbers+1;
1 u; a4 \: e {/ X, x end" I% a3 G& s0 G2 u5 C
end
. V' j0 ~$ Q& p0 w1 H" k* Y copygpool=min(copynumbers,removenumbers);9 J' `8 Y J- d+ e+ ]
for i=1:copygpool% f+ |. q, X/ }5 |6 w
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
3 _- ^4 R( x" t- w4 a; \9 ]4 \0 M end; A7 l4 V$ p4 @ h; e
gpool(2*i+1, =gpool(i, ;$ _3 T) h) T+ j# }2 P& ]) G% {- w+ n
end( T& ?6 w7 {4 H5 e4 _% b; K! e- T
if copygpool==0; t4 n9 p2 o" ~. ?. H
gpool(ngpool, =gpool(1, ;
/ _/ F& o0 L w: l0 _% e+ M+ f5 Y end
9 y1 }) x! U# u; ?5 l4 ~1 r# [%=========
) ^" e" b, \/ }4 a%when genaration is more than 50,or the patterns in a couple are too close,do mutation1 O6 f0 f) Q# A' O# O2 Q% y; g
for i=1:ngpool/2
- d4 q8 J% {7 E6 t5 t4 y2 o %
" B9 s& _2 D' n3 ssameidx=[gpool(2*i-1, ==gpool(2*i, ];
8 j, V( f- n' S& N6 c) \" Kdiffidx=find(sameidx==0);
2 y& _0 c, o- U \# ` if length(diffidx)<=2
0 p% Y6 h+ e. R! Z4 g% G gpool(2*i, =[1 randomize([2:12]')' 1];
4 m/ S0 w( I1 ~; E, B. t end
# q+ `" v& A5 k' O end* k! c2 c2 P& l' a7 a: U
%===========
9 w) }. h# {3 d+ F+ w%cross gens in couples
( w5 c1 b1 T3 W) ]' n for i=1:ngpool/2
, F, w! c" ^$ R7 g5 E [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
5 l8 S% M- U2 E" Z7 I, I% ?: c) K end
9 m6 \' Q! P2 j" I for i=1:ngpool,
# C5 H7 [2 V. D7 d- \& ]: G7 x cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
6 Q2 O/ ~3 U+ S: q: f end
) `8 a' ]0 V" h% record current best solution
s- ~( [; ]0 q( ?# h, V[costmin,idx]=min(cost);- |9 W Z Y7 w5 Q% k* i1 {
tourmin=gpool(idx, ;" @+ A! o$ r3 B9 L8 M0 ~
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])/ v- U" }! N$ G+ r1 r: |
end 9 f) Y, i, o- _3 b4 e0 s
disp(['cost function evaluation: ' int2str(increase) ' times!'])- c) e4 q+ S" ^% _! D/ X$ ~ @
disp(['n:' int2str(resultincrease)])0 r. c* l; u. O' X9 a2 S1 w" o7 k
disp(['minmum trip length = ' num2str(resultcost)])
. w. \# g( r" wdisp('optimum tour = ')6 ^4 p1 K1 M7 e
disp(num2str(resulttour))5 W% O4 p5 i D2 z
%====================================================
+ P' Y5 K# Y* ?' h' H# Ofunction B=randomize(A,rowcol)
1 t+ D9 ]( d# O# h: c' z% Usage: B=randomize(A,rowcol)* f/ z; W" @2 Y( j) ~/ I
% randomize row orders or column orders of A matrix
4 s$ j; C, c& g) K0 S% rowcol: if =0 or omitted, row order (default)4 k0 R# d O% n6 Q) J
% if = 1, column order- n+ K) _: D/ L( o
rand('state',sum(100*clock))3 j. L Z" Z/ |/ y. G% b- K
if nargin == 1,
( {8 C5 m% |- G4 @4 c7 d5 ?/ q rowcol=0;
; g, J( C' M: dend4 j% f# D. S2 k
if rowcol==0,
9 W( \, g2 Y, T3 ~ [m,n]=size(A);1 ]/ y! x6 ` P* R/ ^
p=rand(m,1);0 \9 [9 L9 @4 m/ r. ?& g/ ~8 t K
[p1,I]=sort(p);
7 I% i% m2 ?- S9 l& A9 } B=A(I, ;- i7 W3 b, w. c
elseif rowcol==1,7 v6 X# ]# \0 y8 e2 C0 x
Ap=A';
+ {; [# l! D% w9 T6 ^5 e t [m,n]=size(Ap);
# y) X; z% p1 u B: A7 [ p=rand(m,1);
6 G" c( ?7 U1 }9 Y: V5 [; y [p1,I]=sort(p);
# q1 Q* a6 u/ ~$ _0 X B=Ap(I, ';: O- p. ]4 z+ o1 c
end
+ Z. V5 ]0 n& h9 S%=====================================================$ E. z* E4 w1 Q0 M7 b
function y=rshift(x,dir)
. C7 _% C% b4 b8 z" K% Usage: y=rshift(x,dir)$ i: D" C% ]3 W
% rotate x vector to right (down) by 1 if dir = 0 (default)
2 |3 ]5 `1 d# Z9 i6 q. b% or rotate x to left (up) by 1 if dir = 1. p5 A1 n. Z1 Y; h0 }7 h3 h7 |
if nargin ;2, dir=0; end2 S& Y# Q! R# c3 i1 D
[m,n]=size(x);
' N6 E: s3 c( \ d. R; ^& M( G% hif m>1,/ Y1 A, O3 H @3 J# D9 I2 Y- H
if n == 1, {8 C) A! G- g( s( _( E. i
col=1;+ t) a6 @3 ?0 ^+ G F
elseif n>1,* R( Y3 ~5 t0 W* p N: |; \+ f
error('x must be a vector! break');/ }4 Z7 C, o; c( [0 l, [
end % x is a column vectorelseif m == 1,
3 ]2 U& c. s& i& o( {4 ~if n == 1, y=x;: R, g3 D1 z+ V: u# W9 e _4 Y
return
) N$ n$ l/ C1 Z+ V8 }- ^7 welseif n>1,
; J! r Q( f1 K# J. p: S col=0; % x is a row vector endend
5 u1 ~# ~. `. I eif dir==1, % rotate left or up
4 O0 Q# z! M7 [2 O& C9 R if col==0, % row vector, rotate left
8 c7 @# L8 e" F2 X/ M y = [x(2:n) x(1)];
% b. T9 [+ o( A# e elseif col==1,
) `7 @6 y& _) M) S. ~$ A: c O& K y = [x(2:n); x(1)]; % rotate up
2 o/ P( G) r4 y* fend) L; y8 {9 }( u% @% Z) Z
elseif dir==0, % default rotate right or down
" J* U% p3 L- e# O/ Y if col==0,
v9 r' P3 E) V2 x! ] y = [x(n) x(1:n-1)];9 z" S+ F4 Y0 t4 ]0 \5 X+ U
elseif col==1 % column vector
' P6 L* r6 H: n% p a y = [x(n); x(1:n-1)];
. A' e+ R) R/ u end
4 U! L2 }, x5 ^9 t2 t, Q end. i: J* Z/ J0 M( n0 @8 j6 I
%==================================================
/ h* g0 `; V& b. p Z) ^) I, C$ hfunction [L1,L2]=crossgens(X1,X2)
: b$ l5 I7 h4 K- \% Usage:[L1,L2]=crossgens(X1,X2)$ O6 X; N3 {# j2 H( m0 F" ?
s=randomize([2:12]')';) R9 h4 e; B& ~% v$ S
n1=min(s(1),s(11));n2=max(s(1),s(11));' j* Q9 z+ G' G; g: a; {% t" R8 ?
X3=X1;X4=X2;
+ m1 b3 P. |6 A6 Tfor i=n1:n2,6 o5 i8 y3 `+ [% i
for j=1:13,3 a I9 R+ u; B6 D' g1 L
if X2(i)==X3(j),7 X5 T0 c5 B) }" [6 y/ v
X3(j)=0;$ n& o1 X% T/ a( ]% D- i' V, |
end
, j1 `' ?; k b8 k) O if X1(i)==X4(j), X4(j)=0;
/ H$ z9 j2 @, I% X2 I5 P* Z end- f, b/ X& f# V& Q7 X; _0 [' ]
end+ q8 { e0 W. @
end
2 @1 Z* p9 z @8 @1 I j=13;k=13;
0 N) v2 R- |, ~" F/ W) h for i=12:-1:2,1 o7 g, F2 A* h. m4 ]) ^
if X3(i)~=0,0 J& I& M7 K4 N% R
j=j-1;& P$ F( k( f# w, ]/ Q; h) u
t=X3(j);X3(j)=X3(i);X3(i)=t;
" V4 }# N+ I/ w2 o end9 c8 H( h4 n! M+ @0 w
if X4(i)~=0,
. j! e" i+ S2 \' w! Y k=k-1;
+ r6 W! w+ |+ @% G, N) n t=X4(k);X4(k)=X4(i);X4(i)=t;7 ]" z2 _! a& r3 P# Z* t. D; T' ^
end7 e5 P) F$ |, t, k$ F
end
7 E2 P) e3 e! z9 c' {7 M( k. O6 ^4 W for i=n1:n2! _8 Q3 K4 ^7 o6 j N
X3(2+i-n1)=X2(i);
+ V* k# ~; g8 \7 I0 U X4(2+i-n1)=X1(i);
) ~$ e, f2 Q' e end
- p6 ]6 ~ O* Z& S. o; xL1=X3;L2=X4;( p! E5 o! N6 Z1 \) Y4 ]- L- }
%======================= |
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