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 x# e1 Q1 _( b' }- h j: k* Q% U' G觉得有用的给个回复,拉拉人气..
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Public Class CSA; K% Z4 o& |' I/ [
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Public Function obFun(ByVal x As Double) As Double% z7 @; b$ M* \0 Q/ z
Return 2 * Math.Pow(x, 2) - x - 1. u* x, h$ ~' Z
End Function( ^% @1 o$ l1 H( `" L) V
) I: r/ P \4 w2 r2 B- T0 O; w ''' <summary>/ ^" b; G# \# G" [. p$ X% C$ @
''' 传统的模拟退火算法
1 V5 z$ A& g* Z ''' </summary>
5 Z6 V3 `! d" K* |8 t1 h ''' <param name="Ux ">参数的取值范围上限</param>
/ B3 y1 }9 L' D$ T( v" b5 f9 M8 U. s ''' <param name="Lx ">参数的取值范围下限</param>
/ }/ w. U1 @0 o% V ''' <returns></returns>0 m+ {" x, K- O& E0 s
''' <remarks></remarks>9 D1 x! @0 I8 `3 F3 b/ T# s+ [1 B
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double3 C+ d" \$ g7 R
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
* o4 W' G( h; P. R6 @& Z3 t 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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" b& K6 `2 O0 Q) x9 x( j '初始化SA参数/ J) _* f* }3 G' \/ P+ w6 `% I/ R
init_temperature = 0.01+ D$ L+ m6 C- |$ d0 i8 @! Z
total_numk = 10000 h- A* S* C9 W# _5 O% ~5 d* P8 [
step_size = 0.001* i, r2 X) S( E6 P' `+ G1 T- K. h
receivnum = 50
' ~! w# q: M6 B 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
# F( I, t, n" j' c- {0 a Dim temperature_k As Double = init_temperature '定义第k次温度
3 Y( M, Q* ?: o- t Dim best_x As Double" p& T) W5 Q1 b) B: a+ l
Dim de As Double = 0.0$ b, Q" n- W6 p$ _+ j
Dim fcur As Double = 0.0& B( p( ~. L+ _
Dim xi As Double
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Dim fprevs As Double = obFun(x)5 e- c) N" e' F8 P& M4 F
Dim xprevs As Double = x
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'xprevs = x '保留前一个变量值, M" R8 [5 S- m$ M+ g, F
9 Z6 Q- ?$ c1 | '以下三个参数用于估算接受概率1 |9 F1 D6 L# e( _+ S) X! v9 ^8 O
Dim rec_num As Integer = 0 '接受次数计数器
+ t% P8 |' R) P3 Z, C Dim temp_i As Double = 0 '记录下面for循环的循环次数5 V% O9 y6 T) M2 F' _
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk
+ B: f6 `) o% @+ d( l+ b6 _, ? '产生满足要求的下一个数
; D/ {- b! {5 U Do
- V) g) k3 x2 @! |+ K' n& C xi = x + (2 * Rnd() - 1) * step_size0 E% L: W1 U9 I" p0 h% P7 J
Loop While (xi > Ux Or xi < Lx)" N/ h: U- v( e8 Z! u3 U9 ?
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fcur = obFun(xi)# J) \8 M$ h- N4 g1 X. H
de = fcur - fprevs
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& b! Z& z# r( n If de < 0 Then '函数值小的直接进入下次迭代
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' \" |+ H0 C/ ]9 M: Z rec_num += 1* q9 ]& Q! G/ W$ a8 b: ?' q
temp_num += 1
: R% l1 ~# G9 ^7 |2 ^ fprevs = fcur
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Dim p As Double, r As Double% B7 v3 D' I$ q
p = Math.Exp(-de / temperature_k) O+ x# {9 G+ h9 ?7 ~ O6 C
r = Rnd()+ }- o( O( F! ~- F
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If p > r Then; v( t9 k+ \9 o: I
'以概率的形式接受使函数值变大的数" k% z( {) I6 r6 [8 n; k; Z b% Z
x = xi
; k$ z. m: K# W* U! Z) v; C rec_num += 1
* R$ {+ I5 J' Q9 j4 R6 f fprevs = fcur
. \- \! o/ P; H4 u5 E! e End If
$ `3 W2 |( |2 m3 k7 A End If
0 ^/ r9 y5 ?! F2 _# v If rec_num > receivnum Then
' q# [0 }1 S: D K: v$ c$ A temp_i = i - 1
[, z1 I1 Q1 o Exit For: r+ K1 H/ i7 ]: J
End If, l1 c1 P A/ J+ t, {" p
Next
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- z9 I, b% s3 M( f k += 1, d6 Q9 ^3 _2 U. y& V6 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% b" A3 p' L7 E3 _( |# s# {" _
* f) v5 r% h% G$ }" } Loop While (k < 5000 ). K' T7 J& r8 B( r
xprevs = x
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Return best_x6 O/ R3 }3 d# v5 e5 r( F& X7 _
End Function
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End Class
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算法测试:
3 d5 y' p2 g/ D在窗口中添加一个按钮
# J! {6 p2 t+ c! j$ g' Y# G2 ]( CPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
. L+ g5 @6 t. b: J% x O Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double5 l3 A6 t/ [. v! S, I# Z
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
, k+ U% O! R8 Q7 o+ r x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
/ @) g+ x- N. R& I Dim y As Double
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y = csa.CSA(x1, x2)4 u0 S; x/ w" u
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")) r& t$ T( |% B8 V( m# B
Next
2 c, d8 Y' X7 H! C3 j$ F6 I7 c Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
9 U0 z% p* v* TEnd Sub 9 C1 L$ v1 Z- i; O' ?7 q
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