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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!!!+ j' F, Y7 A; L$ ?& B6 b/ e! @+ V
distTSP.txt* B3 y* Z( G! R4 G: J0 |
0 6 18 4 8+ n' Z) c8 ^) g9 C2 I& o' L( t
7 0 17 3 7
1 X' R9 o8 J7 v1 e4 4 0 4 5
. `4 i$ A! f& K4 P( C20 19 24 0 22
4 V. T9 z j- h8 s8 8 16 6 0
. i2 ]. Z. K# Z" c5 T%GATSP.m
9 W0 k X* a% E3 u, {# lfunction gatsp1()# f! T' Z& m/ J
clear;
2 D3 y" J3 d% E2 U$ _load distTSP.txt;# c4 F+ ?7 d; L: B
distance=distTSP;
& `/ l3 u7 l! ^/ |- tN=5;0 w7 _" C2 S4 `6 i- C# r. J
ngen=100;, j4 y! Y9 X. a; M L
ngpool=10;! @0 J% i: L( [) \0 u& ~$ d4 `
%ngen=input('# of generations to evolve = ');% e( t& k0 f. w8 f" L; p
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
G" A( V7 Z5 T1 m9 F2 T7 c) |* agpool=zeros(ngpool,N+1); % gene pool2 b% C* V: [5 N( [, D4 T
for i=1:ngpool, % intialize gene pool
0 O! I3 `; K. \5 E9 V, egpool(i, =[1 randomize([2:N]')' 1];0 I7 K- s. z9 S- I
for j=1:i-1; Q, \$ {- d6 ~% g; o
while gpool(i, ==gpool(j,
+ n/ U0 g2 z+ x5 V2 M" D. f* [ m2 m$ H8 O gpool(i, =[1 randomize([2:N]')' 1];
$ \# m c& R5 c( S7 S end7 g- E+ W. n7 Y/ N l9 ?
end9 S8 g K1 f, v! ]& C: |% `4 j
end* h& ?5 K& D* I0 ?
costmin=100000;
+ G' i3 m; J/ l& `3 Z2 E tourmin=zeros(1,N);7 w; ^# L& k* h* T* O$ ~6 L
cost=zeros(1,ngpool);0 {; Q8 H% Z2 U# o
increase=1;resultincrease=1;# ^: ~* U) T) m0 c' Y1 c I
for i=1:ngpool,9 X6 m8 i" p% T+ p
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));! ]: a6 C, X( \1 I1 e$ L0 L4 S
end- V: R8 c( Y9 M, z. L
% record current best solution, o0 ]5 ~, Z0 q& w0 u
[costmin,idx]=min(cost);
& y0 K+ P- _, w0 htourmin=gpool(idx, ;
4 }( e! h3 F5 A, Adisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
+ z" g4 k8 M. J* I$ P6 \: ]% Hcostminold2=200000;costminold1=150000;resultcost=100000;; w! L1 |( C M
tourminold2=zeros(1,N);6 S, v- ]& \4 P g0 \# Y
tourminold1=zeros(1,N);8 i b+ H2 `6 A0 E, I6 ?
resulttour=zeros(1,N);. H+ {/ Q# L/ k3 o
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)7 [7 o: A+ o& U! o
costminold2=costminold1; tourminold2=tourminold1;/ F" T9 N$ Y1 {" P3 X% n
costminold1=costmin;tourminold1=tourmin; F s' ]/ _# \' K
increase=increase+1;
4 {+ E2 L+ Z; ^1 @7 E2 l9 ?, }if resultcost>costmin1 y/ z: i6 Q' R5 d% J
resultcost=costmin;
, y; G+ l( U6 E7 x3 Z% L resulttour=tourmin;
; k+ J, q0 B7 B; Y% j: d. A3 S resultincrease=increase-1;( |: u* t2 W. @7 M% y9 v+ U
end' n7 T$ {, H/ e3 ]$ t
for i=1:ngpool,
/ i0 z# z3 O L9 z" b cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));( ?0 c5 D$ v. O% L% a
end4 w {5 Z8 `) {
% record current best solution
& @ h' u! q# P: B. \, n[costmin,idx]=min(cost);- D# d: n; }. x0 y0 I! S% ?
tourmin=gpool(idx, ;
0 g: @! o& D% _- {% v%============== G) x& }, b# a: d: l; ^
% copy gens in th gpool according to the probility ratio) n) x# ?% Y( x `* K4 {" ^
% >1.1 copy twice
0 H7 d2 D" s$ O$ W3 U8 i% >=0.9 copy once
@, _- I5 {; X. ^% u% ;0.9 remove) w7 w% s; D$ c6 | y
[csort,ridx]=sort(cost);
5 m" h. @$ k7 ~6 A; A. F% sort from small to big.
& S$ o* f0 R/ ]3 [8 w5 ] l1 |csum=sum(csort);
3 [+ x& S9 ]' l' vcaverage=csum/ngpool;
$ h% O2 s6 a- c2 } o5 F: Rcprobilities=caverage./csort;, Y0 B a8 ~1 l1 r5 \0 E
copynumbers=0;removenumbers=0;2 j" B- [+ f; x5 C
for i=1:ngpool,% f2 B2 ^4 ]7 o7 u5 N& w
if cprobilities(i) >1.1) a& n' P- j" z5 O# f/ e8 h( I% ?
copynumbers=copynumbers+1;% E l4 n7 a/ c
end1 d6 A+ E& g! v" t9 I2 O& W: o
if cprobilities(i) <0.9
- ]% v8 i1 L- s% t5 t! o removenumbers=removenumbers+1;
) } ?+ v2 C2 v1 Q5 L/ g end% O0 P1 p: ?, ^( A$ l* F: }/ [$ x
end: c3 J* y" Q# T5 ~, T& J( ^) y( ?
copygpool=min(copynumbers,removenumbers);
8 M/ w9 ` M3 N9 k3 ^# p8 } for i=1:copygpool% e' p I0 d* S o6 ^- e
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;( w+ k p& W# D) U: T
end- `3 h! }, F' E; D4 t" i W5 w8 y
gpool(2*i+1, =gpool(i, ;8 V" z) A, E [7 \& k5 _
end# y% y, ] M- }
if copygpool==0: k- N9 e8 R$ Y) b
gpool(ngpool, =gpool(1, ;+ N( S: _) ~6 R! w2 q
end) L( l I0 _ Z" z t$ N+ e4 _
%=========7 b8 r+ |4 `) Y' j7 y
%when genaration is more than 50,or the patterns in a couple are too close,do mutation, \3 f J& A: C
for i=1:ngpool/2/ P% E) i$ h7 n! a& }
%$ p3 a" T5 `1 S8 J! o# Q% o
sameidx=[gpool(2*i-1, ==gpool(2*i, ];+ y, m/ t9 }$ {% {
diffidx=find(sameidx==0);$ {1 b) c- K) G. X0 X# L3 i! U Z
if length(diffidx)<=2) \- _( A: y# ?* i- x0 G
gpool(2*i, =[1 randomize([2:12]')' 1];2 a7 H8 b/ r- b& r r7 q
end
) a5 u* B; b' G end: M) `* {. b" t4 r$ \" s; h
%===========6 n: k0 q0 N2 r; E1 x
%cross gens in couples
' v! g" e4 G. b for i=1:ngpool/2
0 J! w# p' F! J+ u [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
o a7 P5 W6 `8 ~% N" O" C: z end' ~% b8 \: c; w% o
for i=1:ngpool,' O# R C2 Z a& R" h8 R
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
6 a; E# I3 u0 W. {4 y end
2 S2 G- n4 h8 y% record current best solution% w$ a2 F) l& L
[costmin,idx]=min(cost);
3 r8 @1 w7 A3 \, l" G# @. L" @5 htourmin=gpool(idx, ;( ^( m* N7 O+ J* ]
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)]); k' Z; `; b# i3 A. g/ Y/ u6 d
end 3 J; o+ @! A$ k. L& S7 ]- w
disp(['cost function evaluation: ' int2str(increase) ' times!'])
' K) w' l9 q7 W; |: R" |disp(['n:' int2str(resultincrease)]) ?0 p$ c+ W" s( U7 c
disp(['minmum trip length = ' num2str(resultcost)])( b$ U, g& V5 s' }" W
disp('optimum tour = ')5 r( ^7 S) w) s, U3 R/ h* u
disp(num2str(resulttour))
% K ~1 `3 a Y' e# }/ V+ [%====================================================
& S) }5 D5 }! n: _. cfunction B=randomize(A,rowcol)0 g6 v" G$ o* D! c2 v
% Usage: B=randomize(A,rowcol), c1 r; D4 e! W' Z3 t
% randomize row orders or column orders of A matrix
; Z; |( r3 x# w7 F% rowcol: if =0 or omitted, row order (default)
- u5 S1 I% F/ {3 U4 S% if = 1, column order. S' |1 U; t; w; |' R6 [0 j4 D7 h
rand('state',sum(100*clock))
$ m- i) z! R+ Q' y! w) d) lif nargin == 1,
" P" R5 _7 z b7 y& J2 u rowcol=0;
+ @$ Y0 n! h6 j% c0 I4 L$ m/ |' }end
' x( d( K) J0 p9 n# g if rowcol==0,5 ]6 B3 I5 n, {7 ?/ t+ c- C2 }
[m,n]=size(A);
* u b3 Z( _# M. O6 U% } e$ M: J [# P p=rand(m,1);3 Z6 @, s$ \& B% U3 A
[p1,I]=sort(p);; H3 U/ k7 l- |* p; [
B=A(I, ;
" c" N6 _& D- Qelseif rowcol==1,
u( m. d( Z5 L7 c4 { Ap=A';- Z( D4 Q# z/ }- j" R& y5 ^! L' @5 I
[m,n]=size(Ap);# E3 i% x$ l; R9 K
p=rand(m,1);9 n1 }( h" s/ O( F' M1 Q& B
[p1,I]=sort(p);
1 n, w) ]+ u$ D) n5 B B=Ap(I, ';. e+ ?$ A$ T5 E% x
end
% f0 L. P' _; U8 h, i%=====================================================
2 s) i: F0 M, k" C/ s" i( Jfunction y=rshift(x,dir)- B& t( N) |6 L3 `1 ]$ B0 l- N
% Usage: y=rshift(x,dir)! E5 Z& ]; ~! X) {- J9 J/ w. y1 l/ l
% rotate x vector to right (down) by 1 if dir = 0 (default)" @; X) W5 \4 `
% or rotate x to left (up) by 1 if dir = 1& `7 s9 x4 n; Y+ w/ ~
if nargin ;2, dir=0; end7 E/ o3 N- Z; P. R4 Y( _
[m,n]=size(x); M# C: H- J6 z2 d) ?" z9 k: g h
if m>1,
, J( ?' M8 H. S: [$ Y* R9 Dif n == 1,/ c4 U$ z z( [8 A
col=1;3 }: \) p3 Y4 t- S6 Q# i1 ?6 @
elseif n>1,
" X% |7 g9 x& k1 C error('x must be a vector! break');
% J7 ]* |( l- o$ W" @$ H% H3 r) aend % x is a column vectorelseif m == 1,
( d9 i* D" \( ?. p- gif n == 1, y=x;: W7 J* a0 v& R. h: ? v5 ?
return* K9 U T" ?1 i0 S7 p1 N# z
elseif n>1,3 z1 v5 g, a+ z3 u, P; C0 c
col=0; % x is a row vector endend5 k. g8 W# F! o, X2 Q0 k
if dir==1, % rotate left or up+ Q; O1 J" V p: z4 x1 P
if col==0, % row vector, rotate left& }) i1 o- W! v- z
y = [x(2:n) x(1)];% |, `5 [, _3 e, O
elseif col==1,
) L8 `, b# ?* y! Z+ U( E y = [x(2:n); x(1)]; % rotate up
# [7 e+ g5 @2 Fend- V5 I# g1 Z6 \8 G
elseif dir==0, % default rotate right or down
2 ]) S H: ^7 Z3 p0 @* b3 |2 L if col==0,+ N- t) q, r5 s1 _7 \2 I2 A4 J
y = [x(n) x(1:n-1)];
* f6 M0 M1 b1 E, I+ D6 B9 c0 V elseif col==1 % column vector
1 `7 y. I/ k4 ~: e- w: F! l y = [x(n); x(1:n-1)];$ F* c" Z$ Z0 G, \
end2 {5 t+ k1 Y+ n9 ~# N
end% z$ [1 Q5 B- s( u$ t2 G; w, z/ M
%==================================================* U; J9 Y0 X/ H% ]
function [L1,L2]=crossgens(X1,X2)
o* r1 B8 ~- `* m9 p z: L% A2 J8 \% Usage:[L1,L2]=crossgens(X1,X2)( G- ~6 b* s1 X" v3 ]7 T
s=randomize([2:12]')';* V7 S& u2 b5 E6 B" v( H X0 K
n1=min(s(1),s(11));n2=max(s(1),s(11));
! E$ n* ~+ \4 l3 Y( L4 KX3=X1;X4=X2;
0 C! `, t8 _% t$ P7 B3 |" ~0 ~for i=n1:n2,) w% s0 d9 O) ]0 P8 T0 _' G" ]# y$ \0 v
for j=1:13,
- I0 ]) U. {1 F) C if X2(i)==X3(j),
& ]3 x* c% C3 Q& w X3(j)=0;
9 |3 B2 Q+ o v% n/ ? end
2 h2 b8 ^ U9 i if X1(i)==X4(j), X4(j)=0;
' q- h7 m9 |1 r X+ r0 R end
" w3 {# I1 p& u( O end& g- z7 H s9 W1 D+ l0 m$ J( v
end
2 W6 T4 l; U, t j=13;k=13;1 c1 z1 f% k$ k( e* w
for i=12:-1:2,
8 S' C; s. U- ? if X3(i)~=0,# ~( ~4 e7 l" `. p) \8 j1 e
j=j-1;
R3 D" v1 _- |' Q7 {+ Y u t=X3(j);X3(j)=X3(i);X3(i)=t;
+ I" S1 U8 ~. d end
( [" u0 X, v* |6 B4 B/ e if X4(i)~=0,
! r8 F8 s2 `! x1 K% u k=k-1;
* B. j7 X8 M# F/ v' h, b t=X4(k);X4(k)=X4(i);X4(i)=t;7 S0 k1 ]6 p: C9 ^0 t% ?$ `
end
6 J B! i( U1 o6 B* Y end
! T& B% S& w4 J) U) n& j. k for i=n1:n2* |/ n9 t) L: B8 H0 B2 q$ s* h
X3(2+i-n1)=X2(i);$ Z3 `0 ]+ Q& [4 x; A
X4(2+i-n1)=X1(i);; {7 d6 F9 b; j: m2 j! v
end
7 P4 K5 R" }# c+ A" m7 yL1=X3;L2=X4;' _8 w9 r; f8 J/ C2 q% i
%======================= |
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