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 20057 f0 U4 j8 h5 c1 Y
觉得有用的给个回复,拉拉人气..4 s3 G+ P3 b; l' m; o) m4 P+ ^
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Public Class CSA
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Public Function obFun(ByVal x As Double) As Double
% o, t5 j4 F* Z. a& I Return 2 * Math.Pow(x, 2) - x - 1, t* m: g& ?3 T) Y2 Z* p
End Function
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''' <summary>
8 X! _+ z. h8 S0 | ''' 传统的模拟退火算法
, G$ p& s9 |) `; D- t( L. o4 A ''' </summary>
0 r' x, O" p( e' r1 L ''' <param name="Ux ">参数的取值范围上限</param>$ M( a) M+ U0 ?4 D8 P8 O
''' <param name="Lx ">参数的取值范围下限</param>5 D9 `" C/ x# n2 M2 i
''' <returns></returns>
, _6 \5 i6 R6 I& q) y m ''' <remarks></remarks>6 J" S% F1 o7 m
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double7 C" V6 `9 \: ~
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 M4 L6 x8 o' g) F) 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+ _ t9 ]3 w$ s: @/ Z
. h7 ~ I0 k+ j( R O$ f ^ '初始化SA参数/ b3 S. v# M, U/ A% f. _ [" ]
init_temperature = 0.01# F& J1 [4 |8 c* ^" P# ~
total_numk = 1000
7 B, j: N+ Y( l$ Y step_size = 0.001
0 a, }' [, K0 S receivnum = 50
0 e0 @8 ^# D" R% E x = (Lx - Ux) * Rnd() + Ux '随机产生变量x5 v7 F4 W. O% j' v9 b6 O7 S7 Q
4 K1 u* L' C4 a" e$ i- B, { Dim k As Integer = 0 '温度下降次数控制变量* w# N2 ?* E! ?: g2 Y
Dim temperature_k As Double = init_temperature '定义第k次温度
; D) n5 h2 _/ q6 X9 ] Dim best_x As Double% V0 R0 J% S: A1 k" l9 R
Dim de As Double = 0.05 l: x, ]6 u# F9 m
Dim fcur As Double = 0.0
! e# ^0 ^: [. j Dim xi As Double+ V2 o- I; a& o* f' l8 ~
4 N. o4 q% V5 Q Dim fprevs As Double = obFun(x)
. r& D- E/ K7 Y+ }/ D Dim xprevs As Double = x
- t; ]# z) t8 z4 T* {; P 'SA算法核心0 \/ M) R% T# F9 W8 k% y; j
Do
* C/ l7 x2 L' L" b5 P 'xprevs = x '保留前一个变量值- Y5 B! W/ g: d3 M! ?# N
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'以下三个参数用于估算接受概率
, F7 e6 }" x" m6 Y! @% n Dim rec_num As Integer = 0 '接受次数计数器6 f2 D+ ]7 [: g$ }; {
Dim temp_i As Double = 0 '记录下面for循环的循环次数
H" b$ }7 T+ T+ z Dim temp_num = 0 '记录fxi<fx的次数, R! |, L" M! z3 y; K% e
; i/ }- H( q& s0 i For i As Integer = 1 To total_numk
- X0 f) }' N" H& M% r1 v; \ '产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size
, `2 }# ?$ C6 h; @) H( T Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)! H! \' Z8 u0 }4 q! c% K3 T
de = fcur - fprevs# y1 q9 O: H4 J* N2 v8 ~' e3 G
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If de < 0 Then '函数值小的直接进入下次迭代) F7 }9 g0 ^$ D6 l0 b) J9 a5 v" w
best_x = xi% l* e7 A/ o) |/ |
x = xi; D d* b, S" H; r# v4 l) w0 I
rec_num += 1
4 b( }+ _2 O7 I2 f% ^4 q temp_num += 1
# ?9 r9 s, A1 n: K$ G fprevs = fcur
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Dim p As Double, r As Double. |, }, j3 a, E) g" _/ B& `) x `
p = Math.Exp(-de / temperature_k)
8 P; F$ n. x3 U7 d) \4 X r = Rnd()
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If p > r Then
; x1 @5 a4 y+ U: [ '以概率的形式接受使函数值变大的数* k& N. j/ C2 }
x = xi
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fprevs = fcur
* r5 u2 t) }$ M" g. l End If# o" [: @" Y# R/ \) }+ I
End If
3 J( @$ m4 |# {0 k2 C. B6 w! ] If rec_num > receivnum Then3 u! Q* s! b' S7 B/ C) C
temp_i = i - 1
: }; I2 w; z9 h& ~! `- n Exit For
. H R# I: q6 g' s. b" {3 X' t End If5 H: A$ B4 n" d
Next% `- T8 o. W0 l4 f
/ U, Z5 g, |/ d4 h9 z k += 1. O5 |: K/ b8 n
temperature_k = init_temperature / (k + 1) '温度下降原则7 ~" D: A4 Q6 Q u+ }
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do3 w! L2 j9 j5 Q: Q3 {$ x
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Loop While (k < 5000 )
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% u3 ^ L8 E; W$ n' u Return best_x$ k* U! @" S6 o+ K" v- f9 s, h
End Function
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9 D7 \& J8 i3 U! pEnd Class
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算法测试:
* X1 j. U ^0 p" ^0 C$ _& ^在窗口中添加一个按钮 ; \* g: ]7 s2 a f9 w
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click6 g% _, H8 S+ _
Dim csa As CSA_Cnhup = New CSA_Cnhup! U+ }7 a# W( H( d7 r4 H$ m
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Dim x1 As Double, x2 As Double
$ A% l4 c8 G+ x1 c6 N6 A6 k5 {7 V* X x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
0 I/ K* i! V' y* N, I" U) L x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ") F0 R7 [& B2 i. Z5 w0 l/ p
Dim y As Double8 P6 F% L- M* x, Z( G
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For i As Integer = 0 To 19; p3 e5 u- j* p( a
y = csa.CSA(x1, x2)
9 L1 Q& H3 y* x" N# s% Q9 N Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
: |+ ]+ m( B) } Next
8 ^' g4 S* h; G- R Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
7 D2 d. D o& T6 Z! WEnd Sub " N3 q% r+ v8 j5 h, _
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