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' Q* U9 k- ^: e5 R5 B2 N
觉得有用的给个回复,拉拉人气..5 o) ?8 e/ d8 Z" U7 a5 m6 o3 `. T
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4 Y( x3 D0 Y+ h4 w, l+ MPublic Class CSA
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Public Function obFun(ByVal x As Double) As Double6 S% o0 {) t) N4 I. q' i
Return 2 * Math.Pow(x, 2) - x - 1+ @1 V9 r$ C4 q" z$ E
End Function
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''' <summary>- h' x' @7 }2 ~3 h n0 W+ I# q7 f- m
''' 传统的模拟退火算法9 K7 b3 j- S* J9 ~* n# A/ L
''' </summary>5 n0 w2 N5 @: v1 |9 f( E% ^5 G
''' <param name="Ux ">参数的取值范围上限</param>
1 J% c. B9 W4 L0 q1 w1 Q5 j, N9 { ''' <param name="Lx ">参数的取值范围下限</param>
/ V+ @' ~. I4 a x* r) t ''' <returns></returns>
; p0 j3 t* C7 v) h8 j- p* X ''' <remarks></remarks>2 @# X6 `) [ J
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
7 U' x9 X i( s* w4 q- T4 f 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
" P, A/ a1 M5 L 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
. p9 L2 ~5 v7 Y A1 y( g init_temperature = 0.01
, l3 T; G, w4 A- R: x total_numk = 1000, {. n9 t% Y+ I/ h
step_size = 0.001
0 Z- N/ m2 _5 ^3 j0 I% ^ receivnum = 50
1 f3 w6 N7 R Y x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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Dim k As Integer = 0 '温度下降次数控制变量
3 ]% M7 ?5 ?. ^5 `! q6 w2 ` Dim temperature_k As Double = init_temperature '定义第k次温度2 N0 M+ }2 b3 J' I s2 t
Dim best_x As Double, E* f9 M* a/ I$ X4 v/ a
Dim de As Double = 0.0
, M( A+ y/ R1 h: J5 t( l Dim fcur As Double = 0.0
' u" L; U: W' o3 f* y Dim xi As Double
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Dim fprevs As Double = obFun(x)9 s# }6 V, M9 B+ l; b! ^4 o
Dim xprevs As Double = x
% Y# R" Z i7 t1 D- M# C0 y 'SA算法核心
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'xprevs = x '保留前一个变量值+ m* }7 J. j' u9 _" @
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'以下三个参数用于估算接受概率' k5 G4 M$ w" ^! {
Dim rec_num As Integer = 0 '接受次数计数器- M1 T* I. q4 U; y Y1 s
Dim temp_i As Double = 0 '记录下面for循环的循环次数
& R/ E( s ?7 a ] Dim temp_num = 0 '记录fxi<fx的次数+ b: G Q/ u& U* A9 Z8 V: J4 M D
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For i As Integer = 1 To total_numk% F, v3 j7 o ^0 I0 N; ~
'产生满足要求的下一个数; }3 F. Y8 Y7 p7 j8 h
Do5 V7 a: Q' ^' A9 m3 s( _
xi = x + (2 * Rnd() - 1) * step_size
1 j2 B% W! S6 ]$ z6 M2 U9 Q Loop While (xi > Ux Or xi < Lx)/ O; a! O- j' @/ ?
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fcur = obFun(xi)9 l+ W/ A: c' r0 S# K W s
de = fcur - fprevs
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, d- p' K4 ]! t: Z) ` If de < 0 Then '函数值小的直接进入下次迭代6 y/ P; Y% `5 q C3 A. T' D/ h
best_x = xi
- y8 f1 { {% b' I2 ~ x = xi
$ y5 B- p' }5 p; V, r rec_num += 1' e4 d* K# B% \5 }) H, X" y
temp_num += 1& Z3 n6 [( H$ }4 u
fprevs = fcur
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Dim p As Double, r As Double; k/ \1 I$ {4 Y }+ s0 o
p = Math.Exp(-de / temperature_k) ^) x6 j6 O+ U3 h) [$ q
r = Rnd()1 }* U, t/ i( i# p) x+ o/ s' i
" b0 X8 r# _. A; D If p > r Then
) }. E" u! [# m! @4 D- s5 `* _) H '以概率的形式接受使函数值变大的数, ^( `. e9 Y( \; v
x = xi
7 z$ y6 `+ `; n: a6 L1 | rec_num += 1
$ ]3 s8 j& C0 g9 M3 ]. N fprevs = fcur3 H, x9 y0 G6 i8 ^
End If
4 ~) g2 ]# _, @' e! L End If
2 x$ f' O; t) l6 v. l! J If rec_num > receivnum Then4 w- D4 I- r3 Q! r( o
temp_i = i - 1
+ T! C. t2 D2 Q8 G4 V; N Exit For6 g6 o9 i+ ? i4 ~( M' ?0 V: L
End If
! i4 ?9 r% K3 |; u Next
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9 C6 ?6 a% F6 k4 ]6 w3 m k += 1
: v# r) M2 {4 d; |2 }- ?4 k 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. [/ y! u& b9 _, F/ W
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Loop While (k < 5000 )
* f) V; i2 k, k xprevs = x" W) T8 v; L# x2 G
* w8 i9 S# `& @6 @6 V Return best_x. R: A$ D* h' ~' a4 n! Z
End Function/ Y4 U* l" I* T2 K8 |/ b3 k4 N
. `2 C* ?; V6 l; x MEnd Class _* c% S% ? V% ^
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算法测试: ) v f; Z! f+ L. A/ R
在窗口中添加一个按钮 0 t# {/ m1 d6 T) z$ b0 [
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
' H5 d0 _: B4 x% `& e Dim csa As CSA_Cnhup = New CSA_Cnhup. N5 E- z/ i' z5 U# E8 }
% H; j& e, n1 S1 t* z- @) H+ S" s Dim x1 As Double, x2 As Double% Z$ O! O+ Y) m2 [$ N" y% ~, l
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
% p$ p# p0 Q0 M! X5 @# E x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")8 h; T5 \3 ]9 C* \9 J3 V+ b
Dim y As Double
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For i As Integer = 0 To 19
- c" s0 V1 I$ o$ D9 S6 q8 a% {$ m y = csa.CSA(x1, x2)& X0 f* |' N, ~4 l6 b/ T9 v
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")+ b; R! ^+ m# C5 a% `, ~1 G
Next5 K1 k/ O4 k5 S1 C. o1 z# D+ ~
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
- D+ S1 C& _) D1 Z# w) G. a, dEnd Sub ! z4 |6 ?4 H2 q2 I# ?- c/ |! A
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