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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!!!
, ?/ U' D' b8 L; ]- ]distTSP.txt
) ?; V5 b4 c% H1 q: ~0 6 18 4 83 y: G8 f8 J6 A4 W1 Z+ b! a2 N
7 0 17 3 7# l! x3 ^5 q# w X0 @, j
4 4 0 4 5
. U" x" j9 Z. h3 v& u20 19 24 0 22
- a" _! C2 m9 w8 8 16 6 0
- [% V( P2 J6 s%GATSP.m1 W" |" f- \* t6 C4 e+ P8 {) n7 |
function gatsp1()
1 t; d- ~, a$ T* Oclear; M, _: j1 ~1 o$ k
load distTSP.txt;, \( ^' y) e3 G; i' P! u
distance=distTSP;
( h6 ~( o" {. ^$ o$ ~. j- k) `N=5;
) V+ w$ V( D |( nngen=100;5 ~/ m& c; L# ~8 e! z1 w+ c
ngpool=10;' a* G) I5 Y5 Y; N s
%ngen=input('# of generations to evolve = ');: O( {" j0 K" b
%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool
, D. I1 s7 m; T5 j2 _5 sgpool=zeros(ngpool,N+1); % gene pool, R b5 S" F! E) p5 s, F+ m
for i=1:ngpool, % intialize gene pool
3 ?% F' M) ^. r- \7 b/ U S3 Jgpool(i, =[1 randomize([2:N]')' 1];, n, ^4 l1 D- t0 F2 {% f
for j=1:i-1
& n8 g' b7 U; w9 D+ x8 ]5 a& e' Rwhile gpool(i, ==gpool(j,
, Z( ^9 n3 `4 ^+ w gpool(i, =[1 randomize([2:N]')' 1];
1 ?: N/ K0 x" h& i; I; y. E3 F4 G end
2 A! g" g* ?& m7 r( D/ T end
8 `1 {/ ^3 d5 Z2 F% u, F end
8 w% x; V+ }/ e5 v' Mcostmin=100000;& ^; ^( T! \0 \* L; Q/ [' F
tourmin=zeros(1,N);
- x& ~& ~/ t1 U5 o cost=zeros(1,ngpool);
. {5 J- |& P& Y1 _5 fincrease=1;resultincrease=1;
$ n) P1 h& f; h7 `1 [$ o1 q for i=1:ngpool,! |/ c* Z7 b; `" M, ~' c
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));2 X+ b+ o1 G) C
end! Q! V/ b& ~! {* C! x* t
% record current best solution8 b& M' ^" U. o$ d! E
[costmin,idx]=min(cost);6 W8 {' R2 d4 i# Z8 m B+ q1 d
tourmin=gpool(idx, ;" n, ^5 N3 U) J+ q; q
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)])4 `' N; s5 X, d8 E. K5 e# Q
costminold2=200000;costminold1=150000;resultcost=100000;
# p2 C5 ^3 W4 _5 I! N8 X( Stourminold2=zeros(1,N);/ f5 t! g, }) P
tourminold1=zeros(1,N);+ Z7 c. p d& f" P% g9 K
resulttour=zeros(1,N);: D' X9 ~. O( m! O: c
while (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
; U. i& ]+ r9 a( hcostminold2=costminold1; tourminold2=tourminold1;
- W, B, |2 q' T/ l7 fcostminold1=costmin;tourminold1=tourmin;3 a6 ]( {. n4 W6 [# z6 _
increase=increase+1;
" X$ k1 ]" s- \0 _if resultcost>costmin
' ?+ i* K* f1 v/ M resultcost=costmin;
- t5 Q1 Z. t7 z! B7 q resulttour=tourmin;8 c+ p4 X, u4 k" `7 o
resultincrease=increase-1;
& L+ I: j% ]# A3 t- E end! }( m1 I5 A& z& K* |
for i=1:ngpool,
: f" ]! q( @' T- o. d cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));# R5 Q% K, k' W# a. e
end+ C( F3 O. M4 ]
% record current best solution2 N; K' ?$ b( m+ }" E" o
[costmin,idx]=min(cost);' ?- w8 `) O1 K: W
tourmin=gpool(idx, ;
" b0 e8 E4 k# ]% O e/ Q* B%==============8 ^- ?/ c/ c7 u/ h: w4 K C
% copy gens in th gpool according to the probility ratio O8 {" z5 G0 M$ P; T' H6 c
% >1.1 copy twice. i: h/ v/ j: P( K. ]
% >=0.9 copy once
( ]. y& Y& C$ w$ D, Z U5 E g# z% ;0.9 remove
4 Q. b4 [2 T" T2 u$ Z% N2 l3 q- D[csort,ridx]=sort(cost);# ?: y- e$ U. n3 [! p# Y& R% o
% sort from small to big.
, K/ K4 ^! ] Icsum=sum(csort);* q I8 C, F) a: ~% t/ S" S
caverage=csum/ngpool;
6 m) V k! K( Q9 n, K3 O" h. S& ucprobilities=caverage./csort;
' n; D3 h; k7 i* P* |7 p/ vcopynumbers=0;removenumbers=0;( x! p0 ~6 m: A
for i=1:ngpool,1 r$ j; m9 t/ s
if cprobilities(i) >1.14 |( a! {1 L2 W; v- t* Z1 D! [& o2 g
copynumbers=copynumbers+1;
( E! ]4 Q& n( F; B) h( S end
1 D% G9 h, \" C; ?8 }; } if cprobilities(i) <0.9$ ^( s$ E0 O: O# l6 S
removenumbers=removenumbers+1;
_2 m# ^4 x& H2 U, Z; t end
9 j; _( }" B0 X- m" g/ { end" ^0 @8 ~8 g, B1 H: E3 x; y
copygpool=min(copynumbers,removenumbers);/ _# O3 c3 i- x5 X8 z6 Z6 V: Y* o; o
for i=1:copygpool9 J4 v* V. O0 m; j* W) p4 o; m& y
for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;
! ^8 J5 o# k# T, M4 m$ h end
+ ]6 D1 }; b. r/ [0 \, e2 R gpool(2*i+1, =gpool(i, ;
0 N8 x9 X) ]- n7 e+ p9 K* V end
. |3 h0 H4 S+ T- I& h& ]$ G, D7 z; t if copygpool==0
- b8 K9 Y' ?) l, M gpool(ngpool, =gpool(1, ;6 T- N1 d( A' q4 p# W' m
end4 X) ?% S% B) ?+ q$ c
%=========
! h) `& ^4 C, {) @+ R) C%when genaration is more than 50,or the patterns in a couple are too close,do mutation
" [; ], l+ w: d& Z$ ]* gfor i=1:ngpool/21 Z$ H- Y4 E2 m, j' N! M/ p
%
0 F* H1 U2 j+ S7 ^2 s$ ~+ [9 Q( Ksameidx=[gpool(2*i-1, ==gpool(2*i, ];' C/ b, Y8 r& m& b* x
diffidx=find(sameidx==0);* g( D7 [% {# N7 _- z
if length(diffidx)<=2
3 u# T5 U; B+ n$ ] ~8 e gpool(2*i, =[1 randomize([2:12]')' 1];
% y" y* @7 F" F4 ^ end
2 I2 i- L9 q% t4 @6 o& Q/ M U5 N end
$ j- t/ ]; x' t* p% s1 V3 @4 N3 o%===========5 M8 U# _, T" k
%cross gens in couples
) [) Q% W; S: } for i=1:ngpool/2
' ~# `/ r; N2 V0 u* h& q0 H [gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );5 Z+ v, ]* B; i `6 [& V/ u
end' a( |, Q0 @' Z0 `" e) C; S: d
for i=1:ngpool,
& A8 ^( j) ~/ Y1 K$ E cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
- K; E& P8 f$ ^; A" F- F1 L+ v5 C end
( _# k2 p' M- B$ _6 H% record current best solution
$ w9 m7 m9 c7 A2 `[costmin,idx]=min(cost);5 w- F" W7 f* c: C+ ]
tourmin=gpool(idx, ;
" H9 y+ E1 S; Qdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])* l6 Q& f/ o$ P. L$ {$ S# ]
end
" R# E( n7 n- {- }) s ~: _& h/ z, R8 tdisp(['cost function evaluation: ' int2str(increase) ' times!'])
, }0 `# {9 W* ?+ q6 X3 Ddisp(['n:' int2str(resultincrease)])6 ~' M* s w' Q4 K$ r4 f7 d$ n
disp(['minmum trip length = ' num2str(resultcost)])% l# R/ U+ g$ F9 h S& G/ s1 R
disp('optimum tour = ')! L! N l1 t2 _
disp(num2str(resulttour))
2 w3 `8 H" i9 ?" A%====================================================$ Q4 |+ p/ }# g& K2 E
function B=randomize(A,rowcol): \) N% k' C6 O8 x& e
% Usage: B=randomize(A,rowcol)+ ^" J6 o! i4 R( k) _: S* x% Q* b
% randomize row orders or column orders of A matrix8 B% W5 C0 ^ M& @7 G/ x' T4 [
% rowcol: if =0 or omitted, row order (default)" a* E; h; t, F5 g* A, s
% if = 1, column order' v: t3 a( ?! M
rand('state',sum(100*clock))
; P/ \! {$ L6 C: pif nargin == 1,
$ {& B v4 S. `, p rowcol=0;9 I$ B# o+ a& R* z$ b" e! ]
end
2 A" x) Z e2 m. D3 j8 F if rowcol==0,- u( E- p( F# [8 v
[m,n]=size(A);% M2 w, V. s% m* N1 a) F# k
p=rand(m,1);# O8 A0 G1 z: N( N0 Q$ `% F
[p1,I]=sort(p);5 v% z2 c$ p3 ]! j0 Q
B=A(I, ;# g3 m/ N+ e% ]: `% @2 t
elseif rowcol==1,
( |/ l. G2 @/ c2 S Ap=A';
( H2 M3 @9 }4 e+ z [m,n]=size(Ap);
" E2 t8 v- a( W( K% j9 T' l p=rand(m,1);
( x: `8 Q- ?0 |2 p# O$ {, | [p1,I]=sort(p);* V- H; R2 S% ], S$ a
B=Ap(I, ';
- h4 T0 n; A5 O7 N7 z9 k6 Z% |& ^. oend
8 a2 g+ K# o+ D8 @%=====================================================* A4 F1 `# V' B& ]6 n
function y=rshift(x,dir)
) V x7 N: F; V$ m! N- S# w% Usage: y=rshift(x,dir)% L' H9 z a5 A0 ?) ]/ ~4 @
% rotate x vector to right (down) by 1 if dir = 0 (default)5 x# d+ }. Q/ V
% or rotate x to left (up) by 1 if dir = 1
* g1 u; j; W; K- t2 bif nargin ;2, dir=0; end9 P# V" `& D% S+ B* d' {& h. W
[m,n]=size(x);
# f b$ f i+ gif m>1,+ | C" L& }) R( ^8 U
if n == 1,
2 R0 f* K1 z. m' k! c col=1;7 D9 _7 ?' l7 {' g
elseif n>1,
& w$ p8 M( l% H error('x must be a vector! break');: ]* B8 q) ~; K$ W+ O% G
end % x is a column vectorelseif m == 1,2 d" M* s- d2 h4 h6 @
if n == 1, y=x;5 y9 t9 A7 a' R! C' o) O7 e
return
. A$ g$ q0 V% v, U1 A$ \elseif n>1,$ D+ Z) R- f* ~
col=0; % x is a row vector endend
. k: n1 Y: `( N: k% ?if dir==1, % rotate left or up
3 d6 t/ ?! z, K# j: E if col==0, % row vector, rotate left4 V' x: W2 D/ D) T$ N' s
y = [x(2:n) x(1)];
2 @3 V' t5 I! O( _3 D elseif col==1,
- }2 B+ W& s0 |* ?- _( h y = [x(2:n); x(1)]; % rotate up
; [: K) S( k2 h5 p, ~9 S. Q1 M" }end
% p: p/ K6 X4 L elseif dir==0, % default rotate right or down2 n8 {/ T+ C4 n; M: H3 @4 z
if col==0,
+ G& |1 j/ i/ ~$ v y = [x(n) x(1:n-1)];# C% ~- _ L! |( ?
elseif col==1 % column vector
8 q3 u3 N$ y* R2 m+ O2 E y = [x(n); x(1:n-1)];
( R5 e6 i7 Y9 D3 i- l) S" B end8 q* n7 d( C7 O4 I
end% h. J4 t: m$ h, d
%==================================================
7 {' ]- N$ A) i9 Zfunction [L1,L2]=crossgens(X1,X2), i2 k7 e/ J% q3 `
% Usage:[L1,L2]=crossgens(X1,X2)
% r$ P$ a- s; k7 f' ks=randomize([2:12]')';
3 S9 t* l3 V: v" B7 }2 On1=min(s(1),s(11));n2=max(s(1),s(11));
- J9 e+ }2 M# z0 o! M( IX3=X1;X4=X2;. f) e8 f8 i! ~8 v( Y: G+ S
for i=n1:n2,9 a' k5 L( v# u- H t. A6 h- g4 [
for j=1:13,
) x4 V# n v& Y if X2(i)==X3(j),
; ^ n4 T, e$ S X3(j)=0; U- J# @( f6 S+ E
end
% s0 d. p, b& @. O( }' l if X1(i)==X4(j), X4(j)=0;
% P% k: A' L* C9 X end
+ |7 F/ }" l" G/ w; E' a# ~: Y end
l' o( Q5 r/ S. N3 @8 ?! P" @$ ? end0 k' f! C; d0 K/ f. Y9 T$ V5 {8 A1 [
j=13;k=13;
4 P" C9 ` }/ A% q _) O; Y for i=12:-1:2,
* c9 `1 T j& O! B if X3(i)~=0,& T8 _* h" \! t3 H
j=j-1;
+ q6 k! C0 l8 v* f# P! [3 U t=X3(j);X3(j)=X3(i);X3(i)=t;: J& T% X7 Z+ r
end
. Z$ |' @8 G" h% ~/ h) I2 f if X4(i)~=0,
" Q% N" O) ]3 M k=k-1;
7 @" r) x( @+ Y5 \+ @ t=X4(k);X4(k)=X4(i);X4(i)=t;8 [2 O1 s% o& m( p7 D% |: W0 o
end0 [; ]4 s+ Z$ y: ?; D
end
% g2 V; z4 [! ]5 c; H0 J4 a for i=n1:n2
2 J E6 o' E* g, r+ B4 k X3(2+i-n1)=X2(i);
4 E5 k' {. E7 g. G' u9 g9 S X4(2+i-n1)=X1(i);. b' I7 f) ~$ o* K
end
5 V5 m7 U W% q7 zL1=X3;L2=X4;& L6 Q5 e/ _8 K$ q7 v
%======================= |
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