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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!!!
G* B1 q1 g( bdistTSP.txt
$ P7 \; v$ O* O1 C* y0 6 18 4 8
+ n: G& E# M$ ?3 E7 0 17 3 7
/ c3 e9 e, g8 H+ v4 4 0 4 5
- T" Q% \' t1 }% z5 x20 19 24 0 22
+ N: O' r$ X# g e5 F* S8 8 16 6 0! F$ _* ?+ k/ p4 R1 Y
%GATSP.m/ I5 s' N& r( [( h
function gatsp1()1 p3 K- _6 H) c: L: P, X$ C+ e6 u
clear;
2 R; G& h: @7 A, ?) ?& Bload distTSP.txt;
, K. q; ^' ^9 R" \) V3 C0 z# ?distance=distTSP;; p. c" E# d2 e8 V8 g) r1 S" F& z" A
N=5;& ?3 u% R3 N- l1 J8 _; S' T
ngen=100;
8 C$ _' H" R+ [1 tngpool=10;
7 I+ i; B( ?' V' |+ x. E, i%ngen=input('# of generations to evolve = ');8 l8 M4 B9 t$ Y" X
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
% j; b/ |& \& M1 y4 \- {gpool=zeros(ngpool,N+1); % gene pool. \8 K9 P& b/ U9 a5 o. d: p
for i=1:ngpool, % intialize gene pool
; `" |! b' h7 ~9 sgpool(i, =[1 randomize([2:N]')' 1];
9 h6 w3 l' q- Y" ]* K' u& [0 h! n$ ^for j=1:i-1
) d: L& p' m8 v: N' f2 [* V1 H- J2 Q# B* vwhile gpool(i, ==gpool(j, ) U5 { V! v$ u
gpool(i, =[1 randomize([2:N]')' 1];# T0 o0 }% q. u' |$ g! M0 u
end1 v% }, h1 E8 L( m r% a6 C9 ]
end5 L0 |* x6 E5 w, w" Y3 `/ x
end
/ P! k" F" U- z( vcostmin=100000;5 m5 V; r, e B" P" [$ ~1 A
tourmin=zeros(1,N);
2 A- k, t+ z. N$ @3 u! F cost=zeros(1,ngpool);
6 V& O0 A& ?4 H9 ?' \& t, Nincrease=1;resultincrease=1;- D2 _5 i* b. g3 ]8 ^8 w# U
for i=1:ngpool,6 Z# J6 @ Y3 y! s. f. Q
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));6 x0 ^" X0 A: e- }
end
o( u) |( S4 D" S+ x! W3 {% record current best solution
q; x5 i5 h0 e4 C7 L[costmin,idx]=min(cost);
( q& a! c) g5 S0 Htourmin=gpool(idx, ;, J3 g, }; S/ e$ B0 o/ D3 G
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
+ A4 l# @8 b* b; A2 b( E5 Rcostminold2=200000;costminold1=150000;resultcost=100000;1 m! d' u0 \: N2 x
tourminold2=zeros(1,N);: ^- O H! \& ?; L6 e$ i5 c$ C3 V/ ~
tourminold1=zeros(1,N);# \! t- d% e" D0 b
resulttour=zeros(1,N);, q5 A& n: M9 |( ]; q3 Y
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
* R) |9 V+ ~2 f+ fcostminold2=costminold1; tourminold2=tourminold1;
: r2 g1 e% m$ ]0 Acostminold1=costmin;tourminold1=tourmin;7 v. X }# X9 x# d1 n$ A
increase=increase+1;
- j7 g. O0 f, T$ V- K! A9 qif resultcost>costmin4 L \# N' H1 r$ A, o/ w/ P
resultcost=costmin;
. g0 |/ {1 k* |* ~* n3 V8 k! o resulttour=tourmin;
5 `4 P! T5 z( G/ j! z7 G* Z resultincrease=increase-1;
& _7 t% }' Z" Z2 s5 e3 Q end
' @7 K# A( V1 f& b8 g% l$ Vfor i=1:ngpool,
; U% d3 U1 O {0 X" I3 N5 r cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
7 o) O$ g' e3 \( o! lend \/ q3 n2 N/ z8 T) A) d7 z7 l& I
% record current best solution# h7 ~7 \! s4 k# U U
[costmin,idx]=min(cost);
a8 D) k: e: G& R" b+ t- ktourmin=gpool(idx, ;
% Q' B4 o( d8 Q# o) z% z* Z%==============( R7 b3 t5 B& K4 O- \# y
% copy gens in th gpool according to the probility ratio
" U0 O& ~3 }8 \! `% >1.1 copy twice6 m+ r+ u# }& a; I: t- [1 s) r0 ]
% >=0.9 copy once
' _7 b0 |" R- t" `% ;0.9 remove! L: c" N0 x! A3 E2 P
[csort,ridx]=sort(cost);6 H9 \2 X; O, O7 s v% i* q- }& l- t
% sort from small to big.' n6 A9 I1 e" [+ q @+ m7 i6 @
csum=sum(csort);
6 D& Q/ L7 u# C% @caverage=csum/ngpool;4 Y2 [0 s& z# M
cprobilities=caverage./csort;
# y* a6 T5 Z2 J6 }: Zcopynumbers=0;removenumbers=0;
& ]5 K" a5 D! G& F3 kfor i=1:ngpool,
4 q2 e0 V' S/ a5 H5 s" g0 V+ A if cprobilities(i) >1.1' V0 k/ Q2 w4 a1 C6 A) ]6 B
copynumbers=copynumbers+1;$ Q8 C' ]# U0 D2 W9 k
end7 v; C5 Q/ T0 F! v1 W& P
if cprobilities(i) <0.9" D8 T, k3 a/ v' `6 \ c& K
removenumbers=removenumbers+1;
0 c9 p2 _/ u( L end
" s5 X) t) k9 t end
9 B3 t+ h, _* B/ V2 S6 X copygpool=min(copynumbers,removenumbers);
/ h: Z! i8 t" v8 j0 P for i=1:copygpool& ~6 H& B$ c) ]+ G
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;/ v& Y! y U9 J9 V7 `2 S" l
end
3 P- u) l, E; m) P0 Q gpool(2*i+1, =gpool(i, ;
: W7 x1 V2 f2 M n* q8 L end
" M; x0 g0 r1 g k if copygpool==0
6 Z1 L3 v# c0 v1 |4 M% W5 p8 c gpool(ngpool, =gpool(1, ;
6 F* l2 C Y t( t end5 o+ ~( n+ Z5 Z% h3 \0 @4 E( y
%=========2 V0 ^6 X, e7 I! [) V
%when genaration is more than 50,or the patterns in a couple are too close,do mutation3 k- v# m: L$ D' L
for i=1:ngpool/2' H3 a2 n8 Q; m. S
%) g9 t' L8 P6 N2 x9 l' E
sameidx=[gpool(2*i-1, ==gpool(2*i, ];
/ _/ C% K; a, n" E2 zdiffidx=find(sameidx==0);
3 p2 f O/ @: L if length(diffidx)<=20 X b5 w3 b8 O u3 F' y% W* q$ \
gpool(2*i, =[1 randomize([2:12]')' 1];
, a* o2 ]9 R! c! t end4 f+ {3 J# u" [5 W* L$ D& p( M
end
' R# G3 [3 _) }, d; B%===========
8 W6 i; w4 H+ f: K%cross gens in couples
4 A0 n$ t. }% o- ]) s for i=1:ngpool/2/ D; Z& U* U8 {5 H$ l' l) {
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
1 d4 v I7 p1 s L) R. \. C6 |6 \ end
5 y& `# x) _- E+ C for i=1:ngpool," Y9 O7 T' G: c
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));8 C }, Q" f V
end
0 D+ ]3 O9 c5 j# o5 M$ Z% record current best solution1 m( y8 l( \& X
[costmin,idx]=min(cost);
: w+ h9 x( o) T+ J* U3 [' u- qtourmin=gpool(idx, ;
' Y O+ ]- q, \6 L; tdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])( l* X' n6 I6 P$ g/ @7 ~7 Q
end 5 {, @! C% g- P& C. X0 ^9 `- t: h
disp(['cost function evaluation: ' int2str(increase) ' times!'])/ Y2 @3 I; n0 ]$ N. f0 N: a
disp(['n:' int2str(resultincrease)])! S7 R. {9 ?# t
disp(['minmum trip length = ' num2str(resultcost)])
3 P; f$ A" c. N: fdisp('optimum tour = ')0 g* j) e. Z! R, z
disp(num2str(resulttour))
' n* J' A" h! u+ |+ D%====================================================, y' N( Q G% u5 `1 ~( j
function B=randomize(A,rowcol)% J5 b: E# u* @
% Usage: B=randomize(A,rowcol)7 x9 ?! v3 g. X; V
% randomize row orders or column orders of A matrix
4 K9 [, a) P, i: \ G0 `8 n" \# X% rowcol: if =0 or omitted, row order (default)
- z, A4 W, u6 c9 D) O% if = 1, column order
& k. o* B' U1 B1 t* D6 m3 P# frand('state',sum(100*clock))
- n, z2 M8 R% Z1 o5 h! O2 L9 ]# C( bif nargin == 1,
! O. u0 r$ T) I2 s- D3 B% h rowcol=0;& ?- }7 u0 M; Q1 Q$ G! {
end( a7 Y, z& _( ?& N9 @; d
if rowcol==0,8 {) x R* ~, f H6 M' c
[m,n]=size(A);* l, k) u. j* r$ ]
p=rand(m,1);
. o* V& h- p! o. _% T [p1,I]=sort(p);5 q5 M& q5 z: o9 N: r
B=A(I, ;
3 g' ^" ?% s/ _$ W+ Y0 uelseif rowcol==1,
1 i: L8 O8 B3 x Ap=A';4 \9 k' K' B: N* W) O( Q& U
[m,n]=size(Ap);! Y8 }; p/ [+ Q& `
p=rand(m,1);, _) s" ~+ R+ s5 v
[p1,I]=sort(p);
8 {+ B3 t' E* e B=Ap(I, ';
) c }) n1 u5 |7 H& k, p3 kend9 _6 E/ z! U( T0 f% @
%=====================================================
5 x. |/ {* T! h" l/ f: v1 qfunction y=rshift(x,dir)7 ?7 T& p, g% U9 Y
% Usage: y=rshift(x,dir); G( x3 N3 Q, K
% rotate x vector to right (down) by 1 if dir = 0 (default)- `2 K# r% u5 f( `2 p, d5 Y+ v
% or rotate x to left (up) by 1 if dir = 1
1 ]; y& p: f3 }2 Cif nargin ;2, dir=0; end! Y+ s& M2 _6 d7 q' k/ Z/ Z
[m,n]=size(x);
1 r4 }! b1 @& o+ c3 t2 ^if m>1,
1 O2 R' ~+ a, J& uif n == 1,
8 ?, D q+ T2 T! L( z col=1;. u' `5 b% D4 a, x! w5 r
elseif n>1,
% s9 d& \) X" G error('x must be a vector! break');# o8 L8 F! z8 ^& v0 N2 g
end % x is a column vectorelseif m == 1,
9 S4 f7 d; i& x6 |if n == 1, y=x;/ G# X+ n$ [, z3 u
return. s4 V4 N" X0 [2 C% ?
elseif n>1,
: }8 h. F: |" Y: j: w col=0; % x is a row vector endend
# v* X8 R+ n9 N, Y% X6 O7 Tif dir==1, % rotate left or up% R) v8 b& e: W
if col==0, % row vector, rotate left
, P Q1 t! B1 V% Q6 T. q y = [x(2:n) x(1)];- e! l) X, b* ^' h8 n5 D' i
elseif col==1,
; d2 P3 K" u, a" C# I y = [x(2:n); x(1)]; % rotate up# \" J, z3 K1 c, ?) f7 J$ v H: E
end
0 p) `* o0 G7 o6 u elseif dir==0, % default rotate right or down5 H! t1 R1 y$ c2 v
if col==0,# R; v5 H6 C3 b+ h& K7 J
y = [x(n) x(1:n-1)];7 H4 B! z+ P9 p5 f/ z" {
elseif col==1 % column vector6 g2 k* c1 r) G
y = [x(n); x(1:n-1)];
) b! B: Z5 a8 g& t8 } end! Z b4 {8 l+ X8 ^! M: g: U
end
" H6 ]0 M3 O+ X' N%==================================================
" ]3 u5 z( q3 n+ D7 e; Cfunction [L1,L2]=crossgens(X1,X2)% ?6 U: r) O* J7 |3 Y% z7 {
% Usage:[L1,L2]=crossgens(X1,X2)
* d" ], V/ s% N9 u( T+ ]0 N+ Ss=randomize([2:12]')';3 E; F' [& ~+ r3 X0 j
n1=min(s(1),s(11));n2=max(s(1),s(11));$ c7 r" U. a6 x% D9 k" m# E
X3=X1;X4=X2;
5 D2 J9 K$ H8 nfor i=n1:n2,$ u9 b+ B6 n% x! Y
for j=1:13,; R( j- m _1 [, q; v! f4 {- `/ a4 u
if X2(i)==X3(j),
. A, C6 j0 P6 f X3(j)=0;
# M* ^. _. F$ b2 i, C, I- C6 E end
8 E5 Z. {. W+ t3 \. Y3 y' f1 ` if X1(i)==X4(j), X4(j)=0;
% ]" ?+ U4 |0 Q4 x7 O end8 W2 H+ K, J; Z: @3 ~" ~7 P
end5 e* A4 D2 b0 ]: G# W6 l' D
end
1 G+ u. I: u9 {' C. G6 C. `! F j=13;k=13;
% G1 s3 R- ?& q1 V for i=12:-1:2,; u, K, _, F) a6 f+ j( Z" C8 t
if X3(i)~=0,
. W( G4 w9 I0 _ j=j-1;
: C$ M. D5 c& d) W8 P6 {' s& Y t=X3(j);X3(j)=X3(i);X3(i)=t;
. n" K& t _) ?3 |3 H/ D end
, r8 L3 O: }+ `5 J ] if X4(i)~=0,. l$ v7 b# A1 c" q/ O8 |
k=k-1;3 _4 F# I3 c- l9 p: G$ |: }! m
t=X4(k);X4(k)=X4(i);X4(i)=t;
6 |/ w0 ^: U6 b8 N- o end8 }2 L+ P. A( v( U) _' z$ K
end
2 w. j( }& D% z4 U5 f6 a- N for i=n1:n2
# T+ p3 g1 ?9 N- D# T X3(2+i-n1)=X2(i);# H% _: [& Y5 w) M U
X4(2+i-n1)=X1(i);
* n& q3 A% P, U5 O, u end8 y8 U4 x7 u0 z, y
L1=X3;L2=X4;
# c u% l' h% Q; R5 `%======================= |
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