贴上本人自己写的模拟退火算法的源代码,开发环境 Visual Basic.net 20052 g8 d0 O: |1 z* W/ M
觉得有用的给个回复,拉拉人气..+ r# e& @) l& @: |/ G
+ L% r5 o9 c6 m
5 K$ k! t6 ^# K% Z' N4 \; p
Public Class CSA
9 Y8 }$ C* _3 f$ Y5 i2 F+ n3 z$ ]9 J+ c0 ?8 x; w: ^( G' O
Public Function obFun(ByVal x As Double) As Double$ }9 m. j0 R0 E- I+ `6 w9 [& q1 k
Return 2 * Math.Pow(x, 2) - x - 1
6 R7 a3 ]. H/ u) g1 p End Function8 i/ w6 ~8 I3 z3 U# j
2 O2 l# S* c! N' }# w
''' <summary>
. N! Q9 `* b6 P5 D ''' 传统的模拟退火算法
1 v+ y+ X4 d7 z- x ''' </summary>3 k! I+ M# l2 U% U
''' <param name="Ux ">参数的取值范围上限</param>
/ h" Q$ D; o# v6 h/ U ''' <param name="Lx ">参数的取值范围下限</param>
) W4 c# a3 L% t9 [ ''' <returns></returns>3 s) S- i- B0 o0 O: g- F
''' <remarks></remarks>
1 K. P. I& d! W/ Z* G Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double/ W+ e2 K. C- U4 p9 }
Dim init_temperature As Double, total_numk As Double, step_size As Double '定义初始温度,温度k时循环总次数,步长
0 u4 U, w# o; l: O9 @/ M; U8 } Dim x As Double, receivnum As Double '定义变量当前值,前一个值,内循环的接受数据
8 d9 b$ V. B9 ?% U: L& f& x- K4 [6 G3 V/ Q7 _2 F% d
'初始化SA参数
5 n4 j7 ^3 j6 N. }: A4 u init_temperature = 0.01- g* V& B7 C- t: _' p, B
total_numk = 10002 p% L0 f; y$ G. h: }1 E
step_size = 0.001# d7 T% c8 w9 L7 N; q
receivnum = 50
. r4 k6 y- r0 ` x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
% g* F* M/ z! J& c9 R% d
1 D5 R% f: |" @4 _, g* U Dim k As Integer = 0 '温度下降次数控制变量
" d( `! w6 h1 w, K& W4 k; l7 G Dim temperature_k As Double = init_temperature '定义第k次温度
2 T8 a& X1 e. X$ s, b' C Dim best_x As Double
" U) [$ \( K7 o. u' l2 r Dim de As Double = 0.0: `+ \) s; `, V: F8 h
Dim fcur As Double = 0.0
" g- S+ S- K" i; n Dim xi As Double
# k$ K; h+ g' m% f! S7 G: q" Z- n/ s- M8 ]
Dim fprevs As Double = obFun(x)
o8 {& m/ o+ u! g$ Z+ ? Q) d. `+ Y Dim xprevs As Double = x
N) p b; ?) S7 |$ Y& \" E 'SA算法核心
+ H, g# Q; l4 `* R- V4 { Do7 H- W' W# w0 Z3 ]" r$ {# L s
'xprevs = x '保留前一个变量值
, G5 m2 P) Q: R, x. h) W7 \+ _& U+ S( S @* w) _( a' P! z
'以下三个参数用于估算接受概率
2 h% @4 x5 j" c3 l' H Dim rec_num As Integer = 0 '接受次数计数器) n- \% m3 s, q! p3 @
Dim temp_i As Double = 0 '记录下面for循环的循环次数& d% |: f/ N; `+ F$ Z6 J- W
Dim temp_num = 0 '记录fxi<fx的次数% r. V* s w/ s4 k& f5 @) ~
! O" F* o3 G8 |/ @
For i As Integer = 1 To total_numk
r% }2 e! C6 C2 i$ t) L '产生满足要求的下一个数# s9 s/ B5 C: @" }) }
Do
1 \' y, U5 K4 [/ o xi = x + (2 * Rnd() - 1) * step_size
) E$ {+ G( C. c$ A Loop While (xi > Ux Or xi < Lx)7 A. j: u% b w# x5 ~2 _3 o
! ]1 s5 q9 B- f8 V! h
fcur = obFun(xi)) F# M( \& Q! n- R3 B" `
de = fcur - fprevs
2 G1 P+ ]; O5 B9 B7 A$ N% s8 p! a6 b, d p. h# z! r
If de < 0 Then '函数值小的直接进入下次迭代
& }& b/ q* X3 H1 m# s6 J( e best_x = xi1 c& x R) r& S0 U2 M4 `3 }
x = xi, M$ Y' [. ^) V
rec_num += 1
; A. Q5 `" ?& {8 o- S8 H8 L temp_num += 1
9 \2 \! D/ E. I9 C fprevs = fcur' H6 w! S% }; U1 S
Else
1 F# C% m3 [% Y7 q7 v- Y5 @ Dim p As Double, r As Double
. y0 \* R. o; \1 ] p = Math.Exp(-de / temperature_k)
* ^" z4 A3 k3 D* d- c; l r = Rnd()
6 U$ h5 v9 e+ C: T9 z/ V7 k$ ~; b& M0 n9 l6 A, }% L0 g( q
If p > r Then5 [" }" O6 h" z( y: o% z" N
'以概率的形式接受使函数值变大的数
. G0 @- @2 M3 t* y' ?! Z( n; W x = xi1 h% q; @2 ]7 {7 ~! T6 W6 b
rec_num += 13 @0 k2 @# o K! s- w4 I+ a
fprevs = fcur: h$ H' i0 `0 l& q2 G
End If, F" t3 i, `+ s" c/ a) W
End If
: `; H8 g) E/ a: A If rec_num > receivnum Then
2 E! B/ o9 S9 c9 ~ temp_i = i - 1
. h. g4 V; ]" i# p% c0 { Exit For' L% O! M/ c) p* F9 P* q( x0 H
End If
& L+ e8 {- @2 Q/ W. J% T( @0 {7 Q Next- j9 |6 Y# h3 q2 L1 l7 |$ d
0 F5 C! _* t7 v- f+ `9 {$ v* d k += 1
8 y" p9 `4 l) Z* w$ V N2 W4 f" W temperature_k = init_temperature / (k + 1) '温度下降原则
9 B+ u h- q0 U7 w* u
) C c- p- L3 W3 g0 h4 s1 e6 | If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do3 s4 x2 m6 j+ G% F% @5 f G( c3 }$ d
7 f) m9 |; ?) C: Q7 [! w; K( k1 u Loop While (k < 5000 )
! V% X2 r: j+ k; \# D3 e5 _ xprevs = x
' Q3 B z0 P+ r9 O3 {5 k' i" L7 T0 F2 x! ^3 h6 @$ K( l. E4 L. y" W
Return best_x
* L: H Z B( W7 i% v6 K End Function
1 a/ H2 b+ U- w) a$ _5 ]+ V V0 S% O# f* Y8 ^
End Class 4 P$ z* M% k0 p$ {; ?) y; z( ^5 X
. `" n+ C9 U; x/ j' i& E+ T8 p 6 t, Q; \8 K9 _- k* ~# v$ C H8 Y
算法测试:
3 d# ?) {/ U3 f在窗口中添加一个按钮
4 v- ^3 g$ ~5 t) L+ r2 b, gPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
, z( @8 {1 p/ T: y- p! z5 Q Dim csa As CSA_Cnhup = New CSA_Cnhup
1 O$ r) b. h( g+ R+ B4 N
5 T# ?7 E: I1 T" i* T4 y6 ? Dim x1 As Double, x2 As Double- c' T! X3 F. A, s- n2 i$ z
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")0 }2 f$ E- _# i3 U% y
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "); I6 @2 ^8 G: n
Dim y As Double* B. N* ~5 u! D& w
3 `0 K3 r$ _' y" ^
For i As Integer = 0 To 19
, U, p6 V! i5 R) W6 L y = csa.CSA(x1, x2)
9 o) U* a7 Y7 v( k Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
; m/ K y1 x% l8 ?2 T2 j1 L Next
3 a& J0 ]6 q% A4 E Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
6 F( @! q2 w9 J8 ^! n; w oEnd Sub
& k, t. z5 v& V, B$ Y u* P3 g p; j! i
|