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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!!!
2 f* j% P U0 o9 m7 sdistTSP.txt
/ N8 }1 z2 L; }4 L/ \ l0 6 18 4 8
3 ?7 e; X3 ^6 Z! i; m; M7 0 17 3 7' g1 |, S0 I( D, [* x0 k4 g& }! _5 L
4 4 0 4 5
5 ], A, [ N. f$ }( w20 19 24 0 22
8 n& R( ]/ q; l3 T! c, |8 8 16 6 09 u% w: H( i8 V) l5 O: M( Y- r
%GATSP.m
+ O( X$ P" J2 l2 \2 efunction gatsp1()
( B, T$ l9 j+ {# g% `' i$ |1 [- uclear;3 I: E! k9 u6 J2 }6 v) o! \( U
load distTSP.txt;) v% [' Y3 T4 l. G4 e% ^$ B8 a
distance=distTSP;
# D( r8 L2 g: }' M9 A3 Y" O5 ON=5;
1 U W2 R' }+ m; Zngen=100;
8 Y5 N: D5 q$ a3 Vngpool=10;
" a: Z. c5 Y0 R2 Y( H1 ^$ Z%ngen=input('# of generations to evolve = ');
/ W/ X. I9 y! ~! U%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
7 @# c2 T5 `" e% ggpool=zeros(ngpool,N+1); % gene pool* c. y* w/ [! Z
for i=1:ngpool, % intialize gene pool9 _- S8 G9 R3 t9 _2 H* j; c( O
gpool(i, =[1 randomize([2:N]')' 1];
0 ?, I, `2 u% ^for j=1:i-1+ d. E d9 n' P R2 ^4 N7 R
while gpool(i, ==gpool(j,
& _$ s5 u; j, z5 X$ z" J* i gpool(i, =[1 randomize([2:N]')' 1];
! m: |* i3 n% W$ K' z( m+ H9 I end
6 t; {. p" ?' \3 z* E: _( A! d end2 @# B; f3 I4 P! U- F: |
end
5 S+ X' d) x1 ]0 L* }costmin=100000;3 ^' j3 Y9 [( s! ]5 G! t0 X
tourmin=zeros(1,N);+ v/ R7 M! R" E! o* \$ |. W# b
cost=zeros(1,ngpool);3 s' c6 T! \2 E5 R( B
increase=1;resultincrease=1;
& Q p$ ?* u! d' L( J for i=1:ngpool,/ O. f. h1 _+ |: d* j5 {
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));% h2 n/ i: V7 k7 G$ P/ L
end
* ~; |2 u4 q! g; |' d1 _% record current best solution# G6 B- q/ L; ]" [+ n0 T' ^
[costmin,idx]=min(cost);$ Z/ H( ~; w [* K& I. e
tourmin=gpool(idx, ;
6 ?) `5 J4 G s- W0 ddisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])& J* E/ T r. `! x
costminold2=200000;costminold1=150000;resultcost=100000;
) D# |2 O4 J- J% ] ^# _& h/ ktourminold2=zeros(1,N);$ m2 r7 q: g" Z Q: i; T
tourminold1=zeros(1,N);( G+ Y1 j" b3 t- K5 p
resulttour=zeros(1,N);7 R1 {2 `8 s9 A
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
% [1 R; E0 e9 k0 i; _costminold2=costminold1; tourminold2=tourminold1;; C3 q2 e& V6 o, ?8 r9 d- P
costminold1=costmin;tourminold1=tourmin;% X2 S6 W2 ?7 k% v* [
increase=increase+1;
# y& @% `! H1 d0 v3 Y. Sif resultcost>costmin% S# ~$ y9 {' g
resultcost=costmin;
4 o4 i, K6 K. P/ O" t) | resulttour=tourmin;8 r; [) q5 `; m- v3 _ n. z
resultincrease=increase-1;
$ C" b# r" z$ T/ ?+ q end4 Y) s& K' W% V6 L, l
for i=1:ngpool,
: `7 r8 s/ m3 f3 U$ C cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
: |4 U# k4 A0 |* U/ Z+ S( U$ Nend
, `+ ^& D: _. h2 \: M% record current best solution1 R8 [3 p' p6 Z. M
[costmin,idx]=min(cost);4 C0 [. ^- u" Y, J
tourmin=gpool(idx, ;4 S; Z0 J# ]0 f# x2 X! P+ J
%==============" _ d7 _% {9 {4 n
% copy gens in th gpool according to the probility ratio
0 T; _4 x# }7 X: M! x1 L% >1.1 copy twice9 l4 y, I4 w3 P
% >=0.9 copy once
7 T$ D# @3 e! j" }/ k# k0 C3 V7 E% ;0.9 remove
4 w5 ? @0 o( E8 r; o2 H[csort,ridx]=sort(cost);
9 N) s6 }( f+ g; }* x) T( s% sort from small to big.
: _3 Q) y2 I7 _; I% A' w/ Gcsum=sum(csort);! c! G- o) |" T7 q5 Y; c
caverage=csum/ngpool;+ O |# ~/ O+ a4 v
cprobilities=caverage./csort;
5 S F# d7 h- O4 b" G! ~: O' ncopynumbers=0;removenumbers=0;& l5 l C& ]* v( b% s
for i=1:ngpool,
1 d6 P: h) L: `: L @! K' G7 N if cprobilities(i) >1.1
& a# u* L9 Q X4 p copynumbers=copynumbers+1;
7 J5 s" o! D2 i end# R- {# ?; E6 ]8 Y
if cprobilities(i) <0.92 y' `4 a* o( d3 j
removenumbers=removenumbers+1;
( f# ^7 k- Y3 c# V2 `0 U end
* P0 G7 H- L1 ]1 O* t6 n0 k% M2 V end
! r' C$ ?5 n% Y" o copygpool=min(copynumbers,removenumbers);
8 Y; E8 h/ n) w2 _, B for i=1:copygpool+ o) G- K5 K l% W
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
' @+ h& a! v3 h, s8 \. s end7 b2 D1 \* ^/ M r# D9 F5 G# v
gpool(2*i+1, =gpool(i, ;( ~( i$ X+ X0 u% d# f
end
& A; B5 `; T6 e2 b' s% U c. ? if copygpool==0- s) U; H5 O; P4 o
gpool(ngpool, =gpool(1, ;
5 C/ |' ~% R+ C" z# z; r end
8 K# `) R# w0 _' R# q6 Q%=========
$ W5 ~- q" ~/ s6 y# V7 x%when genaration is more than 50,or the patterns in a couple are too close,do mutation
% t% } P" d: `4 A, A7 M8 Kfor i=1:ngpool/2
0 w+ }/ `7 Q! ]8 d5 n( G/ r' } %$ o8 m0 V4 r, k& f! G
sameidx=[gpool(2*i-1, ==gpool(2*i, ];+ p( C$ ^1 G7 J$ H" K
diffidx=find(sameidx==0);
/ I" b# v3 Q- w2 j8 u if length(diffidx)<=2( F8 |8 h9 }2 d; o: C
gpool(2*i, =[1 randomize([2:12]')' 1];5 M! x- [$ J6 a1 t1 v, M E1 z
end
! \) P0 n& K6 D5 h& v end
) P" [$ A+ }2 d2 J3 [7 X7 Y%===========
' e; l" l. o; @) k" o% B- ~4 g%cross gens in couples
3 v% m1 U5 {& J! g for i=1:ngpool/2
- `% s+ D8 x+ h$ E+ d4 G: X) ~1 s [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );# A1 p6 j7 T8 K3 h
end
& V) m3 y# S! o' H6 O for i=1:ngpool,
: h& v" I* x9 P: M$ \ cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));0 a) {" L7 I. N% m
end! Y9 G; R1 D) Z4 n3 z$ x+ I
% record current best solution; q" ]; d. N. N5 r9 L
[costmin,idx]=min(cost);" p/ Y; K7 ]5 C3 J: a4 ~
tourmin=gpool(idx, ;
* U3 R: c' M7 F& L" idisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
$ E1 j* x9 Q3 V( s( xend
+ j$ ]3 y+ C* C5 wdisp(['cost function evaluation: ' int2str(increase) ' times!'])
. C/ r5 ~' G1 k( hdisp(['n:' int2str(resultincrease)])- _: D3 q' H: ^' B! [9 B
disp(['minmum trip length = ' num2str(resultcost)]). n$ P6 R3 u2 E2 @. Z- M' ~
disp('optimum tour = ')
$ s8 y. k) e; e6 p+ L7 Gdisp(num2str(resulttour)), P6 y. [$ p3 w/ `( \
%====================================================4 P0 k# x5 d# A* a# q0 N, J, |
function B=randomize(A,rowcol)
0 A8 L7 M# L- E" u) r, z8 P, \% Usage: B=randomize(A,rowcol)
# x+ x4 H2 A% n+ A* \5 F% randomize row orders or column orders of A matrix
4 a1 U0 \$ V, Q. v% rowcol: if =0 or omitted, row order (default)
1 R+ M0 k, O L+ o% if = 1, column order9 B' {0 `0 q6 H) r. Q
rand('state',sum(100*clock)). F7 x4 \7 H" J3 y4 u0 j
if nargin == 1,6 w8 p, s' H- b
rowcol=0;- U' }/ I* H+ A
end0 ~; Q! W, z$ }" w. l: f. O. Q
if rowcol==0,
) X& P5 d; U5 \9 s* a* R1 d [m,n]=size(A);+ k8 ]7 ~9 r% O ~! t2 c* [7 F3 r! f
p=rand(m,1);
# ?; B0 J. r" b3 ~* p) [ [p1,I]=sort(p);( m$ Z7 N. q7 x* w- N
B=A(I, ;
0 p2 M3 s/ }+ ?7 welseif rowcol==1,
. T" g: X1 r( g) S Ap=A';
+ F6 |: N1 Q9 H [m,n]=size(Ap);0 g. S& K# d8 v, r7 p* g
p=rand(m,1);
. Q* l1 Z' C" @ [p1,I]=sort(p);
9 |% Z$ l& x k- o, H1 E B=Ap(I, ';/ b3 H( V5 R* l9 L' n
end
8 w8 ^/ x6 L. |; i4 d%=====================================================
6 o6 g! _% @8 A& ]/ Efunction y=rshift(x,dir)6 m5 p& I2 {2 Y
% Usage: y=rshift(x,dir)
9 z3 e u- c4 @8 f% rotate x vector to right (down) by 1 if dir = 0 (default)% g T+ s; |. k* W/ t9 ~* _( s
% or rotate x to left (up) by 1 if dir = 1) ]# m# |8 I+ U$ k5 j
if nargin ;2, dir=0; end) ]0 `9 L0 h$ W' h9 D* t, n( k6 j
[m,n]=size(x);
% x8 Z6 Q2 C) U: Z7 {if m>1,
6 s, q: |5 {8 c* I6 e R; Uif n == 1,
+ ^) L8 ^1 T9 U+ i& H0 _0 | col=1;
1 C4 m) t3 r" f1 Pelseif n>1,
6 g% m. a* Q; D1 p* w& O4 ` error('x must be a vector! break');
7 V) h6 P: F9 R% {end % x is a column vectorelseif m == 1, J3 N8 F2 p0 o" R2 x0 }3 G5 u. }
if n == 1, y=x;
8 e# x% c$ C5 l! [, g3 b* preturn
- g. c2 [# {7 [ A2 \& k) {2 oelseif n>1, | u+ K+ _- o! R' G+ [$ d
col=0; % x is a row vector endend
0 B2 `( |, l! h* Nif dir==1, % rotate left or up
4 F9 H$ Y2 ~6 m5 N5 b! z1 k- L. p, R if col==0, % row vector, rotate left7 Z' A0 Z/ v* `+ u1 _9 L$ `
y = [x(2:n) x(1)];
8 V8 Q( r' @ H& @0 I- C elseif col==1,; t& ^% M! \2 |
y = [x(2:n); x(1)]; % rotate up' @: h M* C8 L/ V
end
z- Q2 y- C$ S* z elseif dir==0, % default rotate right or down* `& v2 g; x8 e" h. [! |
if col==0,( m! R$ X$ H! E s2 X, v* ^; w
y = [x(n) x(1:n-1)];! D+ |& ]' H# u& [# {( ^2 _% ~
elseif col==1 % column vector$ d1 r( Z- @! h- t; r
y = [x(n); x(1:n-1)];
: j6 I' o- a* t4 b. @0 F. \/ U end3 ` H2 T, V) o! H1 R. \2 [; Z
end
" H3 i" n( a2 G/ ~" [0 k5 Y. `%==================================================* ]; {2 T2 p5 S# {3 J( X" ]
function [L1,L2]=crossgens(X1,X2)
9 \9 ]' U9 Z& \7 X, G3 r7 _, z7 g% Usage:[L1,L2]=crossgens(X1,X2)
. N5 R' O3 s ]0 P7 }! a! ?, Hs=randomize([2:12]')';3 {# P: O- H! c0 R% R4 A) E& ]
n1=min(s(1),s(11));n2=max(s(1),s(11));
- V* O3 f" y1 ?; KX3=X1;X4=X2;
5 s7 Z. m( S6 E% g2 Lfor i=n1:n2,7 M n- Y3 s2 _2 a! V+ ]
for j=1:13,2 d; f0 C* `! {; E) d+ `
if X2(i)==X3(j),
2 C7 ?4 x8 K' L" E- F X3(j)=0;
* F6 _' Z% y, t: H2 ]% P end
) E& C/ N2 E9 W7 @+ {5 k8 K if X1(i)==X4(j), X4(j)=0;, F& o3 j3 a5 b4 r4 e T: p
end: N3 b8 ?- V: [2 E
end
! _% [" _% W3 g# g2 j* s% y end" ~" V3 m1 M9 t' W9 t
j=13;k=13;
|: ~. N4 D, E4 C for i=12:-1:2,
: T5 b( b, G( }$ D. C. |& M if X3(i)~=0,, Y! ~% `; c, [, M2 e5 T# f
j=j-1;
) w: s+ s5 w$ s) w H! t% g% V: i t=X3(j);X3(j)=X3(i);X3(i)=t;9 I e8 B+ G* v1 H2 F1 b
end1 v% P/ K. t4 n5 E8 z p. V
if X4(i)~=0,9 A, @, r$ z2 _: C8 K5 h6 {+ }
k=k-1;
7 C- A9 k3 ]. m6 H6 S2 n, E, N t=X4(k);X4(k)=X4(i);X4(i)=t;6 U6 R1 f8 G% V8 `/ }6 u
end8 b2 M/ z: `2 Q6 c+ C/ h+ o
end
$ ~/ ~" j) g8 ]- f for i=n1:n2
% j! @8 y2 }4 i6 F" F X3(2+i-n1)=X2(i);
7 G0 Y% a+ V z8 V X4(2+i-n1)=X1(i);6 }; m9 {# y: i
end
$ M6 X1 m6 i5 S! ^; o2 IL1=X3;L2=X4;9 F3 W* x( c# f0 f3 S- q
%======================= |
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