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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!!!4 K" |, R8 V0 k+ b
distTSP.txt
- ^! {; X. T. @0 6 18 4 8" j- b5 H. q* F* q- W( k+ }
7 0 17 3 70 X* D7 I& L/ c8 e: w: u
4 4 0 4 52 }: ]" K* o/ n0 X* H6 k& U% k
20 19 24 0 22
% z, F0 N- s( P7 w* T8 8 16 6 0
7 {5 G7 L; d. J, R4 l9 n% f%GATSP.m7 Z7 ?. g! m1 t: V5 n$ ^0 a. x4 H/ \9 q
function gatsp1()
3 ]5 y4 Q( ]+ a7 m- D5 v. d# a# zclear;
% l8 h: [" W# l: W5 qload distTSP.txt;
4 O+ \8 M( K7 T) r2 _( fdistance=distTSP;
. U l4 r+ H2 r6 I* [* aN=5;
+ C9 q* X. ], U( U8 _5 engen=100;
1 w) _7 d$ h N* p; l* J2 cngpool=10;/ i# g5 z7 `4 E a! |
%ngen=input('# of generations to evolve = ');
+ y. }4 ~" A, R%ngpool=input('# of chromosoms in the gene pool = '); % size of genepool( O1 z: v2 F( e& r, s' J% m
gpool=zeros(ngpool,N+1); % gene pool$ o8 J/ L0 y, E6 H& G% [% G
for i=1:ngpool, % intialize gene pool5 T" w- o4 T9 q% t0 O+ R0 Y+ m i2 z
gpool(i, =[1 randomize([2:N]')' 1];
& d t- m" Z- ]/ x+ Rfor j=1:i-1
, k8 D! a J' b4 T+ zwhile gpool(i, ==gpool(j, 3 K, l4 D: G( C: w5 H8 ]; Q7 ~
gpool(i, =[1 randomize([2:N]')' 1];2 B/ {. q' D( m
end
, Z' Z) e& H, f8 t$ R0 p% r end
( ~& z* w8 k* m+ ` end0 J' \( }+ v' g3 F( n
costmin=100000;* |% H: y% L# w
tourmin=zeros(1,N);
4 G0 I5 V6 z4 q2 d. U cost=zeros(1,ngpool);: E, m1 O% K0 V
increase=1;resultincrease=1;) }8 s/ Y J+ k, I' _
for i=1:ngpool,3 M9 F' f+ u: B# f
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
# T4 ]. b2 x- M end
" U, C7 |. p/ _2 i- G$ l% record current best solution
. }4 f* s1 E4 @9 [[costmin,idx]=min(cost);/ S' K, \2 S4 n2 w5 H
tourmin=gpool(idx, ;
9 U& f+ G# ]1 U j% f1 `: wdisp([num2str(increase) 'minmum trip length = ' num2str(costmin)])
4 R& _5 l8 v! G5 l. z: M7 [6 ncostminold2=200000;costminold1=150000;resultcost=100000;& k* x' [6 R2 s5 ^% ~( m6 s
tourminold2=zeros(1,N);8 N; y! E/ P4 ]: a2 w0 Q
tourminold1=zeros(1,N);
5 `7 @# q1 j+ @ _resulttour=zeros(1,N);
8 d: j" c7 S0 Ywhile (abs(costminold2-costminold1) ;100)&(abs(costminold1-costmin) ;100)&(increase ;500)
) A! v8 ?% Z. x$ Y6 G( s' `) Hcostminold2=costminold1; tourminold2=tourminold1;4 a+ o* i+ N* G: ?4 H9 w$ t
costminold1=costmin;tourminold1=tourmin;
+ b* u9 {$ r- H" W* a# a! N+ n& M- lincrease=increase+1;# w) B. o& i' q" o1 Q# i/ z
if resultcost>costmin6 e( ?" n' H' H3 c
resultcost=costmin;9 k& t, A0 B5 o! h
resulttour=tourmin;
$ k0 z3 z) O7 z* [2 e0 U2 g- f resultincrease=increase-1;
; V" C( T) D' A* o) @( ~6 f4 b! z; s2 V end( Y0 Z9 [8 S2 A8 k) `
for i=1:ngpool,4 K# `6 u! i4 z/ X3 B; H0 o* D
cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
+ @1 Z9 P" v" aend
9 O" L/ W" M; B; b& a9 a. t9 H r% record current best solution
5 }* u) p8 E$ }& c& X( D/ m" D[costmin,idx]=min(cost);
% w. T" ~+ E7 i2 }tourmin=gpool(idx, ;. b+ {2 w7 Y& l8 n
%==============; ]! ]. {# H1 v: R" l
% copy gens in th gpool according to the probility ratio( |( h3 ~: Y: C# e" K4 H8 {7 I
% >1.1 copy twice* e* i. \7 T9 W- ^6 k- L5 _
% >=0.9 copy once7 X) U- [* L0 I2 f+ c3 D5 G
% ;0.9 remove- ^8 H9 K/ T: ?5 j/ n% V
[csort,ridx]=sort(cost);, y1 Y( V9 F Y8 s2 l% J3 ?
% sort from small to big.9 X% A3 @+ n8 N7 [2 G6 k7 K9 g
csum=sum(csort);
2 J1 p8 F; d$ Q {; Bcaverage=csum/ngpool;
# @% h& `* `& Z Z: Dcprobilities=caverage./csort;/ H3 Y' v+ p7 |$ T0 I# v$ @% m
copynumbers=0;removenumbers=0;
1 p* M6 _( X I2 Z6 X% _# ^4 o5 }! tfor i=1:ngpool,
$ H- r. I i4 B if cprobilities(i) >1.1
( d( ?& |1 D; ^ copynumbers=copynumbers+1;8 W/ w! v' L r9 }, u/ p" E
end- ` f- I2 V+ q f/ d7 C
if cprobilities(i) <0.9
/ a4 G* H5 N% O$ S7 ` removenumbers=removenumbers+1;
3 g& z* N! Y. Q: u" _ end
* q7 Y! E6 m$ y$ ]; h( s7 ~ end. t/ a$ m; ]" Z$ V% e3 e
copygpool=min(copynumbers,removenumbers);! h! }7 |3 o0 g/ c+ b) ]
for i=1:copygpool
# D# N( z# j7 Z+ m# W1 M( i for j=ngpool:-1:2*i+2 gpool(j, =gpool(j-1, ;; \/ a. l; g# p
end8 Y3 r3 n1 D5 a V& u3 k, h6 L
gpool(2*i+1, =gpool(i, ;
6 k8 R0 F$ d& x& d" V* w6 \ end" }, T: U8 w# a
if copygpool==0+ h: p2 m5 i# w3 F6 ?/ x
gpool(ngpool, =gpool(1, ;( q& t9 M3 G' ^$ K
end' @/ ^0 O6 j2 A) m( N
%=========
3 x2 W6 F1 G+ L* Z%when genaration is more than 50,or the patterns in a couple are too close,do mutation4 L: `0 ^+ d! |( |
for i=1:ngpool/25 \3 i6 f; T2 a
%
% o: e' e* o2 p1 k5 ~5 x2 M5 {sameidx=[gpool(2*i-1, ==gpool(2*i, ];
, N. f7 l% L) v7 ndiffidx=find(sameidx==0);3 v# L# A( |. n: s
if length(diffidx)<=2
3 @- z/ h1 J! S' w gpool(2*i, =[1 randomize([2:12]')' 1];
3 A; n. p. `1 z0 h' u3 s end% B' Y/ m. s+ ~5 E
end7 [2 l% n8 L6 L7 r$ o2 F5 C' n1 {
%===========' G0 y; o B0 s7 O. ^
%cross gens in couples
1 P0 [9 o8 n2 L8 {( ]- _. E% d4 S for i=1:ngpool/20 S, B6 [7 d5 ^. O: G
[gpool(2*i-1, ,gpool(2*i, ]=crossgens(gpool(2*i-1, ,gpool(2*i, );
, z! F$ d' C* p: }) I* I end
9 u1 k4 D) t8 x' ?. m for i=1:ngpool,
* o8 {, Z" g7 G% c cost(i)=sum(diag(distance(gpool(i, ',rshift(gpool(i, )')));
' D. E+ A. x3 h; A# G end
1 C/ ^2 y/ Q3 Z/ ~* X, Y% record current best solution6 Z3 P1 `! V" \9 [- c
[costmin,idx]=min(cost);
( K9 _- K: a& |/ D+ l# [# w E/ C otourmin=gpool(idx, ;' L- W) n/ A7 X/ l& o
disp([num2str(increase) 'minmum trip length = ' num2str(costmin)]), b9 }. O8 j4 c+ O
end 8 s2 m; y6 z: ^ ^ z# [, Q0 X% h
disp(['cost function evaluation: ' int2str(increase) ' times!']) R9 S. y. O* A; x4 ?$ c* O2 ~
disp(['n:' int2str(resultincrease)])
- U( N) u- S. F: Y2 ?+ T* Ldisp(['minmum trip length = ' num2str(resultcost)])
9 k2 m0 S. ]3 C) b Xdisp('optimum tour = ')6 ~* L; t" _0 q; q
disp(num2str(resulttour))
3 I* i/ T+ d5 j: C5 v7 S3 o( N$ ?%====================================================
' \! Z& W n. V4 l7 Ofunction B=randomize(A,rowcol)2 h% i2 x- e+ h- x; \1 s& K& K
% Usage: B=randomize(A,rowcol), S/ U7 O4 E+ Z4 m. M; ?8 w! i% p
% randomize row orders or column orders of A matrix9 K) S0 d2 s3 [
% rowcol: if =0 or omitted, row order (default)
0 c$ `( f( z2 u' Y; B, |" a% if = 1, column order
" N1 U3 t- i- z7 S( |8 frand('state',sum(100*clock))9 O. ?4 o6 G, u2 X8 m1 T
if nargin == 1,
3 h# L* s% E8 N3 l9 r6 G8 \0 R8 U rowcol=0;
2 I D6 ]5 o. K, ~$ Bend
& T: r, w. Y: { if rowcol==0,* [* P8 | v3 m2 M
[m,n]=size(A);. F# s$ O8 \3 ^0 T% }1 N; R1 K
p=rand(m,1);
1 T6 ^8 s3 ]! x$ H [p1,I]=sort(p);1 L+ z0 @# o8 f& n/ ^2 ^, K4 Y6 i
B=A(I, ;- B) h5 r( U) d/ r1 B
elseif rowcol==1,
# ]1 T. b9 L% a8 Q" k: r- K% c Ap=A';8 c& U- p, Z7 [5 g) x
[m,n]=size(Ap);
; c' _$ P1 Z! m p=rand(m,1);
! G4 H9 p: u% m$ e- p1 t [p1,I]=sort(p);: p# K* R3 \- A1 F$ B! b6 T8 q
B=Ap(I, ';: r. ^; t* F+ `& i+ O6 @* v7 y
end* j2 G& h! n+ f! j: q
%=====================================================. S Y3 w1 k }7 G7 D. U- B; G
function y=rshift(x,dir)
: |# ~# ?% q9 D% v5 \7 [% Usage: y=rshift(x,dir)" x3 E: u2 J2 w& I+ V; |
% rotate x vector to right (down) by 1 if dir = 0 (default) Y0 {" Y+ A/ f% r7 P) C* ?
% or rotate x to left (up) by 1 if dir = 1
9 G# S+ j2 R/ i$ w5 r8 H, o [" t" _if nargin ;2, dir=0; end& ~; s; h2 I$ }) w# o, P2 k4 Y; ~' U
[m,n]=size(x);: {- ^! E6 A. b. n: J4 b, @
if m>1,
5 ]- W; ^2 }' e8 |. @if n == 1,1 w5 ^" k: \0 Z5 P& Q
col=1;5 }, B! I$ h% d v* v0 j
elseif n>1,: V8 K! n: q1 j9 s1 N5 m
error('x must be a vector! break');$ c1 t# ^( X1 N7 T+ m% M' F
end % x is a column vectorelseif m == 1,
2 [. y. M5 U! P3 J' z# h, O& t% Yif n == 1, y=x;
9 T |9 j; d. R+ Q. L8 i. \0 S3 Y$ {return0 h, O, y% _$ U0 \4 R' S
elseif n>1,1 R3 V5 }8 n9 @
col=0; % x is a row vector endend
- _6 L g- z3 W, dif dir==1, % rotate left or up0 e w j0 U9 b& e! e# D4 D X4 d
if col==0, % row vector, rotate left
5 q* Y, x" o; U2 V y = [x(2:n) x(1)];* e, _" z# _6 ]
elseif col==1,+ { E9 n2 s, u8 {8 ]: Y2 Q/ A
y = [x(2:n); x(1)]; % rotate up
7 d$ a1 C( L! Q2 i, P5 R& Cend1 t3 [, e" x0 E
elseif dir==0, % default rotate right or down. w# D8 o) m: X5 d! H& z
if col==0,
$ P- q$ W5 o' k/ G z" R7 C8 Q y = [x(n) x(1:n-1)];
. X0 w5 A" v i* V$ n# T( ^) ` elseif col==1 % column vector0 ~ @+ R. \& y6 q7 ?% k( m8 l
y = [x(n); x(1:n-1)];1 H" \# A% i* @3 t) T3 J
end
$ L7 S! l+ l$ I/ [ end
" @$ B5 W/ d0 L; ~0 A. u k( A$ d W%==================================================
0 j* O' B c) G, w7 h. U! ?* S" X wfunction [L1,L2]=crossgens(X1,X2)
2 {. V: t4 X6 v9 W% Usage:[L1,L2]=crossgens(X1,X2)# l* v$ W+ c$ d# R: k/ G1 f
s=randomize([2:12]')';' u$ }, M0 r, |* a9 ^7 o4 k
n1=min(s(1),s(11));n2=max(s(1),s(11));% Y( |. D6 H3 J4 ?# r& ^+ h
X3=X1;X4=X2;! k1 [' U3 c) t! H& t8 w9 a5 m# ?' Z
for i=n1:n2,
+ d& _+ E# I Q9 V1 G3 L, @3 r5 j' V" u. C for j=1:13,5 J8 ~- K8 N! z" G
if X2(i)==X3(j),( Q4 U" I5 z y" q0 ^% Y9 {
X3(j)=0;
/ B! R7 H% Q( ]2 M end% |& o8 ]- p4 w, ]
if X1(i)==X4(j), X4(j)=0;
: ^/ c2 v( S5 H" {, l' \* c1 ~ end8 s* B4 C+ Q' `/ v5 W0 d) C
end/ N, U# S- m0 j# t) O" z |2 }' M
end# k( } r% ]' i4 y# T7 V
j=13;k=13;3 N- K, p, [/ B& f/ M( v, ~+ r
for i=12:-1:2,, _3 T7 m# q* d( a
if X3(i)~=0,. l/ i# O4 L. L, t" V
j=j-1;
1 K! `! E5 K' O' |% S t=X3(j);X3(j)=X3(i);X3(i)=t;. S& {3 I9 o: y& L7 h( N1 r, R' V8 R
end7 Y0 d9 g, T, u3 m( I- `+ l
if X4(i)~=0,
) P; b L+ V: X# }& I- O) U& l6 H k=k-1;
+ V) y0 N5 w) I4 I) u' x t=X4(k);X4(k)=X4(i);X4(i)=t;
, D, ^' I9 y7 a9 t9 h" [& O end3 J7 @+ A; ]* p3 R$ h6 [
end
$ M3 c A. @6 S3 K( C5 t9 K for i=n1:n2$ a5 d) O4 a" q
X3(2+i-n1)=X2(i);# d5 [; V1 n" d; i a
X4(2+i-n1)=X1(i);5 l. q& X; C% k- x# L
end5 ^0 @2 A$ V# D2 x. ]. z" U. f
L1=X3;L2=X4;" X3 I4 z& P* |4 ]- u8 s9 T
%======================= |
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