数学建模社区-数学中国
标题:
求助,代码第二段啥意思
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作者:
魏关亭侯
时间:
2012-7-25 10:30
标题:
求助,代码第二段啥意思
背包问题,12件物品质量为2,5,18,3,2,5,10,4,11,7,14,6,价值为5,10,13,4,3,11,13,10,8,16.7.4,包的最大重量是46
. w6 ^# M8 B8 d2 \( l6 y
求最优方案
$ w& W) m! v6 U: p
代码如下,第二段看不懂,从那个=~开始,那符号啥意思
( W4 V4 t+ ^- `6 H8 _& T
a=0.95
% Q6 a: a# D% F, u& s7 m7 R% F8 E
k=[5;10;13;4;3;11;13;10;8;16;7;4];
- H8 z+ g; ^! |+ Q+ {% u n+ g' [
k=-k;
2 w% @! A: A% G+ P0 p- v+ x4 E* z
d=[2;5;18;3;2;5;10;4;11;7;14;6];
+ h2 W- O, t" ]2 e$ m4 B W
restriction=46;
4 c6 C- w: M9 L
num=12;
( q3 k; A8 u$ E: I1 u; N9 D2 X
sol_new=ones(1,num);
' Q6 i) B$ `/ P% Z" p& ~- \
E_current=inf;E_best=inf;
! M( @ M5 t* |! t0 \& E0 r" r
sol_current=sol_new; sol_best=sol_new;
/ y" T4 V) w5 a# f
t0=97;tf=3;t=t0;
. z# Q) ~: J- V- F! N* t! s% L
p=1;
. L& T0 ?& o+ V5 w# H/ ~* D# o. ]
5 L8 t2 ?! N, f; w
while t>=tf
1 ]! R! x, D& F- g' c
for r=1:100
8 j! ^8 |$ f8 s: M) |
tmp=ceil(rand.*num);
/ D" @4 e2 @2 F
sol_new(1,tmp)=~sol_new(1,tmp);
/ I7 B) c) `) ?- I# H* v: z! }9 H* f
while 1
V. X/ [$ F9 ~- ^6 y
q=(sol_new*d<=restriction)
% n$ d" d+ v6 m* I% U- E
if ~q
: T$ T, ^" H* r
p=~p
) g) p7 X1 h9 t. K
tmp=find(sol_new==1);
6 a& R. I- Q2 ?' a
if p
, l1 p0 Y$ m3 _# u* V* K
sol_new(1,tmp)=0;
1 _2 B+ F7 {( m! B, f
else
. O3 m5 Z; \, x; q) l2 Z. D, |
sol_new(1,tmp(end))=0;
5 q8 }- F6 u0 q8 j! ?
end
/ u& J9 B, H! u( t+ f7 P4 Z
else
" L* i$ M, Z" L- A" T
break
0 G8 \" K8 F" ?; ~9 p: I. J* u# p
end
0 H5 `$ D' q1 n) j
end
9 e2 o* V2 L" v3 x, a
作者:
赵煜星
时间:
2012-7-25 21:01
好啊 我喜欢
作者:
梦天涯M
时间:
2012-8-5 11:54
model:
R3 u: G/ V" w3 Q0 V. \% \5 H
sets:
1 A# f* Y0 o- k" e3 w6 |' [% H$ `
beibao/1..12/:zhiliang,jiazhi,x;
* B6 @# D: K. ~) ?
endsets
* v% a3 {2 ]# p2 d$ G; k: r8 ^
data:
" r% |/ W8 M$ o7 f! @
zhiliang=2 5 18 3 2 5 10 4 11 7 14 6;
4 e6 t* l( V% t. r7 _+ L
jiazhi=5 10 13 4 3 11 13 10 8 16 7 4;
( J- Y' a9 j' M* t8 y( ]. }
enddata
) Q0 f2 }$ f5 }+ S' V+ Q2 G4 {
max=@sum(beibao(i):jiazhi(i)*x(i));
& m0 |7 W0 |2 n8 [5 q' c
@sum(beibao(i):zhiliang(i)*x(i))<46;
/ q. H( M" V* K' Q( L9 K: r/ v
@for(beibao(i):
5 Z8 j& j* W* T7 x. f7 U% F& ?
@bin(x(i)));
0 ]/ S7 B) W2 D# x8 L
: @5 _0 T0 v$ d' T0 L1 G* q* X2 K( r
结果:
+ }6 F3 }: c' I/ M6 K# O
Global optimal solution found.
5 ^0 F% ?7 {' \4 x
Objective value: 76.00000
7 V! ^+ n" W4 g, |+ d$ y' Z
Objective bound: 76.00000
2 [6 @& v! y5 j
Infeasibilities: 0.000000
4 y# F9 P6 j1 f. b
Extended solver steps: 0
7 ]6 I) M: \2 O8 o, s$ b( ]
Total solver iterations: 0
7 }% T% ]' b* l4 a s7 {& A
/ D" F) q$ {' N% ^7 Y4 J* `2 D
Model Class: PILP
. D$ ~" m( ^6 d/ U
9 K& ]% H3 ~+ b& u
Total variables: 12
& S4 m: G& w8 |- Q/ @6 K) \/ ]; D
Nonlinear variables: 0
" W9 V$ t9 e: v5 @: u
Integer variables: 12
& I; ?( r5 M% e/ c0 g
! `8 G0 H5 p$ q' V: m& V1 Y
Total constraints: 2
- W7 c1 o/ n5 b* X2 |4 K
Nonlinear constraints: 0
0 ~/ \2 V4 R) Z! z7 E& f' y \
9 j! f7 r* |; i
Total nonzeros: 24
5 v$ U# K* ^9 D
Nonlinear nonzeros: 0
7 M& Y+ t8 ]0 L
% u% d$ z# y. K# m# P1 ?1 H
- ]1 d3 x' P$ I8 v+ L
Variable Value Reduced Cost
; X9 h7 A2 ]8 \" z
ZHILIANG( 1) 2.000000 0.000000
. E, o6 Y' v3 n h( G _
ZHILIANG( 2) 5.000000 0.000000
5 C$ r; a7 @6 o6 u9 `
ZHILIANG( 3) 18.00000 0.000000
0 e! m5 C. S* T) d
ZHILIANG( 4) 3.000000 0.000000
5 @, H6 z6 O3 O
ZHILIANG( 5) 2.000000 0.000000
# P* F9 e1 H+ S& c7 \- @& K6 [
ZHILIANG( 6) 5.000000 0.000000
9 E# e0 A4 @1 G1 B$ P
ZHILIANG( 7) 10.00000 0.000000
" ^; n" Z9 c) s5 P5 z* X. I
ZHILIANG( 8) 4.000000 0.000000
7 ]0 o. O& D4 |* I
ZHILIANG( 9) 11.00000 0.000000
Q' T8 p) n: n6 K2 b
ZHILIANG( 10) 7.000000 0.000000
% y" E2 \2 O6 T* _- W
ZHILIANG( 11) 14.00000 0.000000
7 w* Q' e9 N/ } |2 \
ZHILIANG( 12) 6.000000 0.000000
4 Q4 |. H- B6 t9 {6 P! ], [
JIAZHI( 1) 5.000000 0.000000
% O; @5 C2 [$ c' H$ e% f
JIAZHI( 2) 10.00000 0.000000
0 w. k# ?- `5 o4 b! Y% Z
JIAZHI( 3) 13.00000 0.000000
) y% p, c. A, E
JIAZHI( 4) 4.000000 0.000000
" G [% N" A x+ c2 G" }
JIAZHI( 5) 3.000000 0.000000
- E/ j5 ` G+ E0 ^. m$ {
JIAZHI( 6) 11.00000 0.000000
6 J+ I; b p z2 k3 Z1 i+ F
JIAZHI( 7) 13.00000 0.000000
6 L8 M$ J* \) B. L# F
JIAZHI( 8) 10.00000 0.000000
1 ?8 y7 a. a/ B. \8 e2 o1 R: p! i1 \
JIAZHI( 9) 8.000000 0.000000
5 R+ {: |; _/ H0 g9 A% ^
JIAZHI( 10) 16.00000 0.000000
! f' s5 l8 m' e# [
JIAZHI( 11) 7.000000 0.000000
3 D( N: O E0 j9 C7 [( H
JIAZHI( 12) 4.000000 0.000000
7 f9 W6 Q+ A% q( |, t
X( 1) 1.000000 -5.000000
: I% L5 a! ?" t- s) e: S
X( 2) 1.000000 -10.00000
1 E0 E/ q, f" ]3 F/ N" l+ N
X( 3) 0.000000 -13.00000
1 ~; e$ M3 y! Z( l, I
X( 4) 1.000000 -4.000000
) n! ?& x) Z+ }, a) l4 ]( c. c
X( 5) 1.000000 -3.000000
; C% }# \6 h" |: }. t4 p' j6 r/ q
X( 6) 1.000000 -11.00000
3 w! x h, t1 `
X( 7) 1.000000 -13.00000
4 C3 Z: a0 P1 j5 y$ H3 U" D) B
X( 8) 1.000000 -10.00000
' Q# D: ]6 g0 M
X( 9) 0.000000 -8.000000
7 |% | F; H \0 \8 Z) u- h
X( 10) 1.000000 -16.00000
1 w) ^7 f6 b& D* r# Z
X( 11) 0.000000 -7.000000
0 p+ J) z* t7 k1 l; X* p
X( 12) 1.000000 -4.000000
1 C1 J7 C2 J. k+ }% ~* _% [
+ s, N3 R/ t. f1 ~, E5 `( k* t
Row Slack or Surplus Dual Price
, m0 Z; _! ~' |/ n. U+ q
1 76.00000 1.000000
1 r: w4 Z( t/ S1 _, L! D% ~. ~
2 2.000000 0.000000
1 H3 R& w0 o- I% `! \) U, G3 {
& N: R2 ?. ?, C1 ]. a
作者:
梦天涯M
时间:
2012-8-5 11:56
不好意思,上边写成bin了,应该是gin
' A' E$ {2 u; f
正确程序:
, }, N l9 {! b3 s
model:
9 p% W# z: G3 u
sets:
7 y2 g3 W6 o" _ ]
beibao/1..12/:zhiliang,jiazhi,x;
# F' p# |! n8 _1 m! `& W1 ?
endsets
$ _+ r1 ~$ ]6 O+ B
data:
" W5 i4 V+ o6 C& [' n% `7 P* _7 j$ e
zhiliang=2 5 18 3 2 5 10 4 11 7 14 6;
. C# }! a, y7 ]3 Z9 h
jiazhi=5 10 13 4 3 11 13 10 8 16 7 4;
( n5 q q) J( B1 c$ n* p
enddata
7 g+ r i6 _- j: u# g" ]8 o
max=@sum(beibao(i):jiazhi(i)*x(i));
% m- l* B! ]) I
@sum(beibao(i):zhiliang(i)*x(i))<46;
6 d [: E) N. t* `$ l
@for(beibao(i):
. ~; r6 D; T2 |5 L( e3 R! A, r" C* o
@gin(x(i)));
作者:
梦天涯M
时间:
2012-8-5 11:58
Global optimal solution found.
1 T6 |, @7 H1 B7 D# n+ ?
Objective value: 115.0000
' p% i1 f8 |2 r# `$ r# d
Objective bound: 115.0000
( K3 E% {+ T' A" }$ X2 i- e
Infeasibilities: 0.000000
& I3 J! Z* q+ v. T; J/ }( _
Extended solver steps: 0
/ {8 v7 R- X/ w$ Y' n: S+ Z m! h
Total solver iterations: 0
# `' d8 X% N* A. h# i5 {+ }
# s$ F) a; B5 K0 t" g. J+ B
Model Class: PILP
$ N; L3 J; C* E/ H
) i$ R0 k( E {# q4 W
Total variables: 12
* ~$ L. }# L3 Y' ?! J5 Z/ u
Nonlinear variables: 0
) c" E6 ]- H) S- F
Integer variables: 12
* g% y& T) w$ m) @" o4 V, V$ m! O
6 j1 s: E6 r0 w3 X% x( t+ w P( @
Total constraints: 2
# I6 \+ j- E1 F! U7 D1 |9 e
Nonlinear constraints: 0
. d. U) F, D& D& M6 ^ z" O& `
+ v# s( Q6 P: m/ `/ s) W
Total nonzeros: 24
- ~. O+ w, d5 D% \9 d! ^
Nonlinear nonzeros: 0
) v7 [- X% |+ W" |
+ @: Z9 l& j: }( w, Y# p5 q ?$ t
3 E2 M8 q2 b; J6 B8 P3 X8 x
Variable Value Reduced Cost
j1 A$ J- O) c8 |% u: k
ZHILIANG( 1) 2.000000 0.000000
6 \+ |3 |& ~; D1 Q& u$ j
ZHILIANG( 2) 5.000000 0.000000
) e0 p: u5 H" l/ Z2 ?) i% e! y, T
ZHILIANG( 3) 18.00000 0.000000
- A- |0 N h; E5 x/ c8 [
ZHILIANG( 4) 3.000000 0.000000
" T N! Y6 h% ]3 G
ZHILIANG( 5) 2.000000 0.000000
* M! ~+ ?: `7 O0 z) V2 t5 s/ ]
ZHILIANG( 6) 5.000000 0.000000
& f" B y6 C. y
ZHILIANG( 7) 10.00000 0.000000
2 m- c2 ^. O1 C7 ~
ZHILIANG( 8) 4.000000 0.000000
# ^5 D8 E8 V2 l( R, e4 a
ZHILIANG( 9) 11.00000 0.000000
) ~- c& D& ^7 X' l5 D, `
ZHILIANG( 10) 7.000000 0.000000
* v' ]0 n0 M4 B
ZHILIANG( 11) 14.00000 0.000000
4 I+ U' [/ m6 o _# I0 z5 U* f
ZHILIANG( 12) 6.000000 0.000000
) A# |) t' d" I" K; c
JIAZHI( 1) 5.000000 0.000000
/ Z6 R& b1 O3 O. d& H
JIAZHI( 2) 10.00000 0.000000
3 }0 T, {2 J0 V- k9 W" w
JIAZHI( 3) 13.00000 0.000000
: G' F2 X4 U8 u2 k% u0 q
JIAZHI( 4) 4.000000 0.000000
( }. X# C: G% k) Z* Z3 u
JIAZHI( 5) 3.000000 0.000000
7 W, h/ Q5 `( ]3 y5 h
JIAZHI( 6) 11.00000 0.000000
# p }0 w c, y" Q) k
JIAZHI( 7) 13.00000 0.000000
1 E+ F5 H+ E$ X w' g
JIAZHI( 8) 10.00000 0.000000
* {1 Q6 s; @7 h2 x
JIAZHI( 9) 8.000000 0.000000
2 m- F/ F+ h$ Z$ Q3 {3 x, O8 t
JIAZHI( 10) 16.00000 0.000000
# e- {3 S1 S! p$ W* `* Y J
JIAZHI( 11) 7.000000 0.000000
4 f5 V( c/ M# M& O! G" w3 s
JIAZHI( 12) 4.000000 0.000000
) W9 ~) P5 i2 B! I7 `4 U. U9 F
X( 1) 1.000000 -5.000000
V+ n+ V& i2 C
X( 2) 0.000000 -10.00000
0 F+ G% l" l5 t" D8 w4 S8 _% @
X( 3) 0.000000 -13.00000
* o$ F, v0 s$ e) x- s
X( 4) 0.000000 -4.000000
: j- X4 o" n) M7 L
X( 5) 0.000000 -3.000000
; x, I/ k9 [/ N- g7 J' \
X( 6) 0.000000 -11.00000
; D. x$ Y' x3 s6 s% n2 k
X( 7) 0.000000 -13.00000
5 S. J9 s1 R7 y% H( S1 R
X( 8) 11.00000 -10.00000
$ X* K/ n1 q+ D) L' R1 q$ v* q* c
X( 9) 0.000000 -8.000000
/ z5 x% G1 n% O# q0 F8 E. r( t$ h
X( 10) 0.000000 -16.00000
6 P! M7 `/ @* c( h# v' d
X( 11) 0.000000 -7.000000
B, z% a" c& j' f% A& u
X( 12) 0.000000 -4.000000
: K& S8 o3 P, T4 a
& Z/ J* q* g9 p( p
Row Slack or Surplus Dual Price
! b3 K4 P7 z% Z! S- G$ a H
1 115.0000 1.000000
5 n: d D& `0 T# |# J
2 0.000000 0.000000
3 H3 |; a% }5 F+ T0 ~. O$ V
作者:
梦天涯M
时间:
2012-8-5 11:59
第一件物品取1件,第8件物品取11件,最大价值115
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