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t=2.3263;
7 k. \9 K5 E- `' ck=0.5244;1 [# r3 K% B& r q: \$ H
R=0.15;; y7 i/ K% Q+ ~
u=[0.1221,0.1786,0.1452,0.1054,0.1132]';, `9 Z, y9 J) S4 n8 t
E=[1234,864,-617,-246,987;864,642,586,-198,-815;-617,586,1433,469,-963;-246,-198,469,346,25;987,-815,-963,25,1827];6 w+ T* _& S0 M0 X/ S. {- {: @
E=E/10000;
7 b7 B- X t* b7 Hc=0.0075;! ]1 n8 e6 r2 p3 J4 Y
options = optimset('Algorithm','active-set'); % run active-set algorithm
# q k) @5 U. g+ V6 _aeq=[1+c,1+c,1+c,1+c,1+c];
+ ]# Q0 C- m( Y$ {' {beq=1;% w& u3 A$ Q. h' f, J o/ Z0 m/ `
lb=[0,0,0,0,0]';
4 O$ T& U+ S2 L, mub=[1,1,1,1,1]';+ `9 n& ^8 u5 ~5 F T
x0=[0.02,0.03,0.05,0.11,0.12]';
; ?: u3 |" Q# h( r[x,fval,exitflag,output] = fmincon(@(x) myfun( x,t,E,u,c),x0,[],[],aeq,beq,lb,ub,@(x) mycon( x,t,k,E,u,c,R),options): J: t0 |9 e# e3 O
, u' c, B) L" gfunction f = myfun( x,t,E,u,c ) %目标函数
7 S$ c( ^* Q! g%UNTITLED3 Summary of this function goes here
$ I( `1 j1 l$ T% N% Detailed explanation goes here
9 p, K, H' T5 F# T, m# @/ ff=t*sqrt(x'*E*x)-(u'-c)*x; w: V, h- k3 w, \. w7 o, L. l+ j
end# O) O, o; I9 s9 B
2 g- K0 O% l% k1 A+ ~
function [C,Ceq] = mycon( x,t,k,E,u,c,R ) %非线性约束
* |2 c3 x0 N/ i) R% `0 z%UNTITLED4 Summary of this function goes here
2 n" o s$ w+ g j& m# _, z2 z% Detailed explanation goes here2 U1 N# a* } w. j4 g7 p
C=t*k*sqrt(x'*E*x)/(t-k)-t*(u'-c)*x/(t-k)+t*R/(t-k);$ [1 Y; f/ O( A( g) \$ H8 ^
Ceq=[];
7 E2 w! k2 z: t6 h2 \ oend
' i! w# o h% o G0 ^0 u0 U
8 T8 p& @! K; q% V ^( g0 e/ r2 s) l/ U/ g
运行结果:
# _6 f8 }5 J# R. _Solver stopped prematurely.. W3 b0 Q! G: i! b0 G% @
fmincon stopped because it exceeded the function evaluation limit,# v1 V/ r" x* d: ~0 f) y
options.MaxFunEvals = 500 (the default value).- ?- O2 H6 S) H: A- q5 l
$ U/ M: a" Z, V, z0 u/ O+ \x =2 X+ C0 f( W* I: c$ v
-0.0175
! B ^" L* O. T! Z: L. i 0.4875
- V0 z$ ]4 f) [1 N$ p -0.0175. R) z+ T% K1 R# r4 p1 R8 o
0.3074
+ _9 w1 w7 Q4 H' l f3 p+ r q 0.2328
) H% I2 r9 |, [4 f4 b$ Y
& V0 Q C8 c# g: Efval =
0 h" y% k% F9 X$ U* R0 t -0.0390# b, |0 v! M# p$ ~ I @8 w, S
" m4 c' w# b2 l0 y) c
exitflag =
0 Z/ t: \- y. ]3 _1 ~# e 0
7 E$ g2 ?4 R0 x* }! a
1 n: v, u$ t, i. x6 z$ Coutput =
1 {# \9 e% N& ^" B: M+ M iterations: 51% a5 i1 J1 h" r7 t( E
funcCount: 505& X, M, ?4 K9 z7 m- B
lssteplength: 0.1250; n* c( t0 k# e+ y& w5 v3 R! v
stepsize: 0.0812 ^9 O" f* [4 C5 E/ }
algorithm: 'medium-scale: SQP, Quasi-Newton, line-search'3 ~. {7 a/ [' A0 o& V4 t0 _: ~8 _" y
firstorderopt: 2.4732
6 y0 {# q+ s# g& y6 z [& ^7 }' b constrviolation: 0.05097 Z" h- L# t x
message: [1x145 char]
0 ~4 l- D. w* D" g+ e7 \各位大虾,程序如上所述,为什么函数提前就结束了,是不是要改默认参数设置,小弟也试过,但是捣鼓不出来,希望各位高人不吝赐教,小弟先拜谢了 Orz |
zan
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