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/ u5 I( r+ @# b9 A$ h
觉得有用的给个回复,拉拉人气..
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Public Class CSA) @% o8 C$ x6 I. D% ]
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Public Function obFun(ByVal x As Double) As Double8 B0 z6 O6 U- W* a: J
Return 2 * Math.Pow(x, 2) - x - 1# N( M9 D4 w; L& C$ y+ T
End Function
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4 m$ F& B+ n1 d ''' <summary>2 U# T$ I' D+ a- y' d2 h9 h$ Z% Q
''' 传统的模拟退火算法- `( y4 f0 w! z* T3 p
''' </summary>
7 `7 w$ u: g! J6 o* v ''' <param name="Ux ">参数的取值范围上限</param>" i2 t2 ]4 p" \' S# N$ L$ R5 g; _
''' <param name="Lx ">参数的取值范围下限</param>
{7 C6 M' a5 ~3 i ''' <returns></returns>6 ?9 w2 J& p& E
''' <remarks></remarks>8 O- K2 H9 \% }; a
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double! a8 S! S! g0 R0 ~) Z% e' B& P7 A
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
1 G9 [! R6 g/ |* {/ F2 `5 H/ n 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3 ]2 x8 d I- J+ F
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'初始化SA参数. W! W) t! p. W0 ?8 u7 j! @
init_temperature = 0.01
$ e5 f7 g' ~- P3 j3 {3 A8 D total_numk = 10008 u, U% g! X0 _: I X) K2 `7 A
step_size = 0.001
3 q) W7 o9 ^6 l, w, ` receivnum = 50
0 S1 r) e% T3 J+ M0 q% v x = (Lx - Ux) * Rnd() + Ux '随机产生变量x+ R2 _7 k2 x9 c! @' Q
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Dim k As Integer = 0 '温度下降次数控制变量! ^* g5 [' c( l$ Q
Dim temperature_k As Double = init_temperature '定义第k次温度% R" U) [9 O" t3 q' I) a9 j5 P
Dim best_x As Double& q. T3 s! ^8 f- @, `6 X
Dim de As Double = 0.05 L( R! `, A6 h+ e4 N4 g1 f3 C
Dim fcur As Double = 0.0
" L1 l, M* t7 R( b Dim xi As Double
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Dim fprevs As Double = obFun(x)
8 `3 u. d0 ?/ c% K$ U# A Dim xprevs As Double = x- ?3 X! r# J6 }7 ?
'SA算法核心2 P2 U: t$ Z$ r$ _; l
Do
u: T0 S' t8 }. n8 { 'xprevs = x '保留前一个变量值
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'以下三个参数用于估算接受概率- `1 L. {, i+ a6 v1 t* u
Dim rec_num As Integer = 0 '接受次数计数器
6 z! _0 `+ K { Dim temp_i As Double = 0 '记录下面for循环的循环次数
6 Q) q& E7 m, s8 } N Dim temp_num = 0 '记录fxi<fx的次数 J! R' h- m4 y, x2 q+ W
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For i As Integer = 1 To total_numk3 ~- ~0 I5 Y' S( K8 q& k. K' U
'产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size+ G8 i0 i$ O* }; v7 w! e/ W) P
Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)3 ^0 y" _! D: H n
de = fcur - fprevs/ @& W u# ~" R& g0 o/ P
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If de < 0 Then '函数值小的直接进入下次迭代
4 ^0 t! U' E: b0 c best_x = xi
- M) T7 ]$ f% t$ A! a1 b) s2 | x = xi
4 f, R4 P4 }3 D6 O. e4 L rec_num += 1
. n! r( n7 d4 m$ i/ D$ m- G$ R* G# j temp_num += 1
4 ?8 U' l2 e. n6 R) `; Y8 X3 s fprevs = fcur
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Dim p As Double, r As Double4 k0 K0 x4 ?7 E+ L; n' Q
p = Math.Exp(-de / temperature_k)
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( L5 p; z- D, M0 T/ d If p > r Then# A6 ~3 v1 x! J* u( n; Z
'以概率的形式接受使函数值变大的数3 S! N; V, p7 _3 [$ `1 U
x = xi
; F1 w7 q+ Q4 a* ^: |. F( Q rec_num += 1
: Y- u; }; D5 I$ c fprevs = fcur$ R* F# ^3 Z7 u( u0 t0 n9 {! J) \5 k
End If# K9 r3 Y" D& A# _8 \
End If I' b( ~# K( q- c; z& N6 Y3 k1 K
If rec_num > receivnum Then
4 p7 D5 V% W& c8 z- h) ^ temp_i = i - 1
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End If) d. }! b" O; ^; w, a6 r
Next
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temperature_k = init_temperature / (k + 1) '温度下降原则5 u. |, G3 {2 ?2 I& B% y/ A
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )
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* T0 I+ Z" d5 X, |$ I$ g; Z Return best_x# r- J' X9 H4 k$ A$ b) l+ |7 O; O/ @
End Function4 {4 u- t$ z/ {* V: r1 Z- Q
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End Class
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算法测试:
7 z0 E2 O+ R. k在窗口中添加一个按钮 8 W- ] b+ t D: _* ~( T
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click5 l) ]( |* k" R8 P7 ]" s% K$ @9 c
Dim csa As CSA_Cnhup = New CSA_Cnhup
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/ ~. @! p4 U+ \4 n+ p Dim x1 As Double, x2 As Double0 x# Q; ?/ Y0 ~9 M' [' h
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
2 S) m. I, ~+ v+ b x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
! I% H# W0 L; y, c& U Dim y As Double8 q$ t# O7 ]1 C$ m) p
: o' d9 o$ q" e: M) ~8 e For i As Integer = 0 To 19
% G" C% y" K& b8 k$ w" O6 U y = csa.CSA(x1, x2)6 I, @+ I) t* \
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
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