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 2005
9 z$ B4 E9 K5 [8 Q8 N& s1 b觉得有用的给个回复,拉拉人气..) o' E0 h; u2 s8 R( u: o
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% C# O6 T7 H$ Z- m4 zPublic Class CSA" t& z2 Z' x' z( H$ C) o$ N. L# x
5 z }5 z5 _( y( x$ \9 H Public Function obFun(ByVal x As Double) As Double
0 }# H6 l5 P1 D2 F Return 2 * Math.Pow(x, 2) - x - 19 ~6 w, n8 d- s7 [
End Function
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''' <summary>
' N8 {9 p% B. V2 R+ e0 Y ''' 传统的模拟退火算法
% W1 w1 x& W7 k$ S ''' </summary>
! G' x+ {( W8 Y. P; D ''' <param name="Ux ">参数的取值范围上限</param>4 B7 A4 t* m( l- E; B. q# M
''' <param name="Lx ">参数的取值范围下限</param>
. y5 R# D+ G) D1 \2 R! P/ K ''' <returns></returns>% k! s6 g1 ?1 G) E! s3 s
''' <remarks></remarks>3 S4 T% D% t2 J+ A6 g
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double" E" a. ]$ v$ Q) N& Q7 [
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 F9 g& l- T, b4 d! p 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
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'初始化SA参数
3 s! i7 F- |: R A0 V init_temperature = 0.01
0 L. w7 t# q. Y$ c2 k+ z' t& F total_numk = 1000) y; U. f) v F
step_size = 0.001& G) f0 @9 g% c" u" E e6 p
receivnum = 50
- \" S4 F- a* r6 P x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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. {. G2 P9 l9 g+ h3 m3 _/ i. \+ u Dim k As Integer = 0 '温度下降次数控制变量# f' n F* ^0 E6 t
Dim temperature_k As Double = init_temperature '定义第k次温度
6 y( n9 N8 K6 |8 r3 k Dim best_x As Double: t7 i0 v" U2 x9 Y4 [8 F
Dim de As Double = 0.0) u- U% |1 K3 U; x0 C4 Q4 `' w6 _2 q
Dim fcur As Double = 0.05 b5 h4 k- b9 p
Dim xi As Double
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2 a6 k/ h% M! X Dim fprevs As Double = obFun(x)7 C6 E; ~! _+ U# a0 i- ^5 F
Dim xprevs As Double = x
' R/ f0 ^$ k" I5 i. a" k3 P9 T 'SA算法核心
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, K9 A s+ M1 L2 o) V" B 'xprevs = x '保留前一个变量值: O$ e3 Z. f& J) Q" [
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'以下三个参数用于估算接受概率
a4 J- S4 \3 ~$ W2 {# G5 ~ Dim rec_num As Integer = 0 '接受次数计数器1 x+ Q" P7 L3 A$ `
Dim temp_i As Double = 0 '记录下面for循环的循环次数
: Y8 j& y8 ?3 W% K Dim temp_num = 0 '记录fxi<fx的次数5 l1 K! F* F- G. w; y6 |8 S1 ]
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For i As Integer = 1 To total_numk
! w. [! O+ ^# E( Z! j1 ~/ c( D '产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size7 ?. G' g4 O. |
Loop While (xi > Ux Or xi < Lx)& l" p7 t4 n* Q l, f# K
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fcur = obFun(xi)
* G8 a, K1 \( U: d% ~, O) G de = fcur - fprevs
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! h' b7 S* R) [0 z0 }# z$ Q If de < 0 Then '函数值小的直接进入下次迭代& I i8 t3 u' c# r* ]' m! K
best_x = xi
4 s: z. Y- D5 q; a" R. F m x = xi
|0 Y8 J( W, S/ u4 y5 X# B rec_num += 1
$ n( T. c8 z$ I# S temp_num += 1
; r/ a ^+ u5 _; | fprevs = fcur
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Dim p As Double, r As Double
+ r' g% l- [0 G% c7 p p = Math.Exp(-de / temperature_k). J% P. D: [( {' \% z+ l5 Q
r = Rnd()
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4 Z2 W# Y- I t If p > r Then
8 c$ e6 Z4 o5 p3 E, F5 z '以概率的形式接受使函数值变大的数
8 k/ a; y4 n/ `# z& N% [5 O x = xi
. P: Z7 }, d; |* M" q' a rec_num += 1
+ [+ f" ^3 u0 ` b0 f7 a. [% o fprevs = fcur$ c9 V# [# a/ a9 l/ m! R, \! M
End If% @# C. M0 w3 p1 k; P' w0 b) E
End If, S) ?+ l. m v$ f( \5 q" D* n
If rec_num > receivnum Then* x- m0 g% U" L6 v
temp_i = i - 1
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End If3 ]/ G/ j/ b( p6 C
Next
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k += 1
5 J+ m) z1 [, {, \/ h( n% [1 c# D8 \ temperature_k = init_temperature / (k + 1) '温度下降原则
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6 ~" U5 |1 y# U& }: g If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do& l, Q8 R/ T/ |1 S3 Q8 U9 l/ o
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Loop While (k < 5000 )5 |. K- ^$ i1 x* ^' |% z# W1 m
xprevs = x9 \3 l: V0 u% t: T
0 I8 l {$ G- }$ @. Z1 k, k
Return best_x7 s3 _ S( ]6 j3 t% ]
End Function
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End Class
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; }1 ? B& S+ ~+ v' ^5 l7 y算法测试:
! Y X5 w' n; b( q- u* f在窗口中添加一个按钮
" F5 Y, t) [5 h6 W RPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click! |2 T5 U) [3 U. @
Dim csa As CSA_Cnhup = New CSA_Cnhup4 q) [5 \2 K2 J, ?% b) `5 U
% L$ J' ^1 k' v9 G' d Dim x1 As Double, x2 As Double
4 l+ w1 Q4 l; U x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
0 X5 C' g( p) N* z3 X x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")+ z& A$ G1 [9 \! i6 L
Dim y As Double. E1 n Q2 A) v7 C
( l4 P& N5 h5 u: j* W For i As Integer = 0 To 19
5 X+ C# N6 V: {5 p9 j y = csa.CSA(x1, x2)
2 x8 Q) ~7 c2 a: d# T Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")# n" N: i& R' ]9 ~
Next3 H, B' E# N2 W: i) g$ ~8 f0 U
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
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