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! ^- H8 m, [( @# d
觉得有用的给个回复,拉拉人气..; S$ }5 r: Q" S4 U4 c
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Public Class CSA* T* c Z/ x. i1 |, H0 c
) S n3 e# Y, x" r: `0 ?0 b" { Public Function obFun(ByVal x As Double) As Double9 Z; v, I. q" K2 r
Return 2 * Math.Pow(x, 2) - x - 1
$ c" N7 ]" _& D/ i3 O3 F End Function
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''' <summary>
0 }+ y) S' K" g2 O, a3 f ''' 传统的模拟退火算法" P. k& p8 R3 p" z
''' </summary>9 w: b# \/ k# o) Y# c3 ^3 r- L) A
''' <param name="Ux ">参数的取值范围上限</param>; \; p7 ^; w6 J- r( n4 b, T
''' <param name="Lx ">参数的取值范围下限</param>
+ S$ n7 w' C) [4 e4 P; p( K# b ''' <returns></returns>
$ k: H0 E) r. k! a3 T ''' <remarks></remarks>
; P4 }* i; ~3 o8 D* Y7 g Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
2 E6 f* q( ]' [ 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
* V1 `. y5 S4 _2 F( Q 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' N) o) r* f/ n/ B. o
init_temperature = 0.017 b) z, D7 P% }9 b' q* J9 E7 W0 C4 g
total_numk = 1000
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2 N. y! X5 g5 U/ C; M* h receivnum = 50: y+ v' X1 `2 v1 |" g
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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) {* z C( O% s3 c$ G" z Dim k As Integer = 0 '温度下降次数控制变量
0 o; X! \; s5 }8 T0 S Dim temperature_k As Double = init_temperature '定义第k次温度
/ m: _/ o6 I/ r. D5 u Dim best_x As Double' W* ]* x. V6 s/ z0 _) P, t; [8 x5 h
Dim de As Double = 0.0
0 O0 w9 v( C$ o: b/ Y" p Dim fcur As Double = 0.0$ L( x2 v: X+ N& M2 t
Dim xi As Double+ G4 Y+ ~. T3 m+ W# P8 |3 Q% Z: ~. f
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Dim fprevs As Double = obFun(x)* N; t) B6 v1 V- v+ y
Dim xprevs As Double = x
/ k' \: J( P- S7 M8 _" {5 p 'SA算法核心
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'xprevs = x '保留前一个变量值
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0 b3 W* b0 ]' _: V4 R9 ? '以下三个参数用于估算接受概率# u$ H5 V2 i: X( i2 q& s
Dim rec_num As Integer = 0 '接受次数计数器
# F2 @8 L$ J# M3 \) O' C Dim temp_i As Double = 0 '记录下面for循环的循环次数' ^4 M( l) ~7 ^! r/ l3 [9 j8 U
Dim temp_num = 0 '记录fxi<fx的次数
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, {0 b# a. d) z1 p3 u- K For i As Integer = 1 To total_numk
0 v- c- r2 f7 p0 o6 \ '产生满足要求的下一个数8 F' O( O- q2 _- D( L4 U* B% Y
Do3 |! L; @9 p7 g* M; a1 B
xi = x + (2 * Rnd() - 1) * step_size
; S+ o9 s& D0 C0 H6 H Loop While (xi > Ux Or xi < Lx)
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1 q8 @% u5 f0 ~1 M fcur = obFun(xi)+ Z! p0 R2 z8 y
de = fcur - fprevs$ o& n! D! g. V5 K
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If de < 0 Then '函数值小的直接进入下次迭代* z0 { E5 T' ?: h% z$ M
best_x = xi/ h( x: B& p4 c$ s" E/ W0 a
x = xi( W1 L5 r9 F8 Z3 L
rec_num += 19 P2 X) V8 I) S& l
temp_num += 11 S, A+ p9 ]7 D; z
fprevs = fcur0 U7 ?6 l8 |5 }
Else
9 J2 n: }/ J. l5 @* Y: O) s( J Dim p As Double, r As Double5 ~: _# @( Q! e5 A4 q4 f( C7 c+ ?
p = Math.Exp(-de / temperature_k)6 ]5 M0 I9 w" z9 `/ v* e
r = Rnd()% b) ?8 `# n3 m9 l0 z6 g; ]
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If p > r Then9 x* F+ c% b' e6 E# a
'以概率的形式接受使函数值变大的数
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rec_num += 15 m5 |$ ?1 E! s5 P6 K% A' h
fprevs = fcur
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6 } O8 o6 L0 F9 Y1 K End If" c" i* r7 W W. \' y9 S
If rec_num > receivnum Then
: |3 y4 b- d. B$ j temp_i = i - 17 |- X7 h5 D) f7 @ x( L
Exit For8 h9 f$ O8 k: B
End If
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6 _ V8 t# _. S2 @# n k += 1
3 c) O- X; k- H temperature_k = init_temperature / (k + 1) '温度下降原则
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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6 M, h7 k4 l8 ?# F- k7 d Loop While (k < 5000 )1 v6 |% L+ Q2 ]
xprevs = x
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Return best_x. e+ }& u, ^, \6 ^: k
End Function
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& A" B5 L: t7 A4 `9 {. xEnd Class
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算法测试: ' v; ?: g; u& N. Y. `- F. i' c
在窗口中添加一个按钮
6 \& N$ J: I/ l" L8 ~Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click/ L- f2 E+ T2 a6 @' R( W3 {
Dim csa As CSA_Cnhup = New CSA_Cnhup2 S+ l) Z, C, A- {0 Y3 i& k, X
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Dim x1 As Double, x2 As Double
! y; R* \ y" ]7 b) D1 u+ D, g x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
" b |& Q7 @% \ x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")4 T0 h; T; S3 S5 L5 b
Dim y As Double
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For i As Integer = 0 To 198 Q4 d, X$ G2 g7 t/ j' W
y = csa.CSA(x1, x2)
8 |1 d% P- w q4 H ]7 |! C Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
) Q+ S/ ~& c& nEnd Sub
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