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 20051 P) Q: |" k. [1 O1 ^& Y. U
觉得有用的给个回复,拉拉人气..3 X0 P# t* f3 q# X5 V
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Public Class CSA) A& r! b$ i7 a9 N" l
$ q$ G9 k* y' `& a$ Q4 r7 w* e Public Function obFun(ByVal x As Double) As Double, z1 f5 u: V5 A* g9 f
Return 2 * Math.Pow(x, 2) - x - 12 e6 z2 N7 p2 P6 U/ {/ L
End Function
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''' <summary>5 M3 y8 F0 M! x4 {
''' 传统的模拟退火算法
/ @: u+ Q) ]4 x9 j ''' </summary>
$ G0 Y8 ~1 ^" g* N" P) b: q ''' <param name="Ux ">参数的取值范围上限</param>5 P v# Z* \9 \9 T3 |* J
''' <param name="Lx ">参数的取值范围下限</param>
V8 z) ?& p9 N! s0 W2 { ''' <returns></returns>& k$ _! w$ x7 S( n: l
''' <remarks></remarks>/ g- u7 N; Q$ B; x7 ~' {# t
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
; S% w$ L t* N/ t$ C0 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
' }) l* q! g) ]8 P( ^ 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
2 m8 u4 ~, j& ` init_temperature = 0.01
6 C! E* D/ L+ @- H% b total_numk = 1000
* W) W3 `' p' f7 v, P step_size = 0.001
( K+ T' y* A/ r4 J$ R4 e, N2 t receivnum = 50
2 v+ t$ b; v$ y1 N! }9 u x = (Lx - Ux) * Rnd() + Ux '随机产生变量x& J) _1 Z. U9 c3 s
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Dim k As Integer = 0 '温度下降次数控制变量# X' t% V: L* ]5 s6 k
Dim temperature_k As Double = init_temperature '定义第k次温度
' F" q5 f1 x3 o) D Dim best_x As Double0 j2 v( K1 {/ l8 t
Dim de As Double = 0.0- \ I6 s/ k/ M% M+ D: S. k; i8 m
Dim fcur As Double = 0.03 x/ H6 z# B6 Y9 R: E: n
Dim xi As Double
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% B; e2 ], P2 p Dim fprevs As Double = obFun(x)* F) |( i, B a/ _8 ^' K$ c
Dim xprevs As Double = x( f4 d8 E" N; M- Q
'SA算法核心7 y w8 g8 `5 O; e7 \
Do& |. R% U: b- t$ w6 x/ Y* h' u# {
'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0 Z; V. L) W( u0 g* d/ p L& k, H
Dim rec_num As Integer = 0 '接受次数计数器- |5 a! C" o# _
Dim temp_i As Double = 0 '记录下面for循环的循环次数7 G4 o/ Q6 Q+ N
Dim temp_num = 0 '记录fxi<fx的次数
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6 _/ ]! [) b( L( N For i As Integer = 1 To total_numk
5 t Q, y: k# q8 F '产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size1 s# b L' D% ?/ `, h5 T& ^
Loop While (xi > Ux Or xi < Lx)- n' W- ~9 o( U1 o2 u
' n, T# y( L8 r4 q$ o E# B fcur = obFun(xi) U8 W) E( j- {( f% K( X- ~
de = fcur - fprevs$ k# z, E' _1 @9 ~$ T! @" D
/ l, O+ V" f8 `1 Y If de < 0 Then '函数值小的直接进入下次迭代) Q8 |7 p5 o6 [3 v& J
best_x = xi8 H9 x C: o: ~! }* `) v5 P; K4 f
x = xi
) v: A+ Q( Q2 H' s! V0 m+ f' I9 T rec_num += 1
9 F) _2 \! \2 y% v% B temp_num += 1
5 Z; |/ h9 Q+ t2 T) y* o$ u fprevs = fcur
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Dim p As Double, r As Double5 m1 {) P' g! {$ x! v' \
p = Math.Exp(-de / temperature_k)3 V' l4 V. m* v7 O/ `" C
r = Rnd()
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If p > r Then
" M- q8 J& G7 l0 B '以概率的形式接受使函数值变大的数# } B; f' b7 n0 C3 s9 b$ g
x = xi
0 ]$ E+ d7 o1 q: T* j* k; [/ P rec_num += 19 p3 W) e8 P0 ]1 w2 `
fprevs = fcur
/ ^: t/ g9 Y/ M# N& f; [: A6 f End If
$ j( @; r) X8 b5 |3 i% T End If
' f3 n9 E5 p8 [1 f( N" F If rec_num > receivnum Then( t+ M% m& A/ a" H" M8 ]: ]+ Z9 Q! M. R
temp_i = i - 1
3 {8 ?) b1 B/ s) b Z7 a Exit For6 r. v) h" f) F3 h8 P, h+ }" C
End If
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k += 1: b- T# b7 w1 k5 m; p# g6 n( t; e
temperature_k = init_temperature / (k + 1) '温度下降原则- A3 u8 }: D% ?/ Y0 ?" d
( S. z4 M) y6 l0 _$ R" P If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do+ Q* c% x$ W3 T: B
$ T. I+ i+ R) j& R" t$ s Loop While (k < 5000 )& W# g1 C, [! b) K3 k2 g
xprevs = x( L3 y6 V. }* B& k
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Return best_x
7 a- b7 V6 |9 h* F `7 R End Function2 `+ }' S3 H/ w8 I/ m1 @- m
3 ?: O' q: U* Z7 T- | R+ D# w; REnd Class
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算法测试:
1 P7 g3 [7 w. J! V: |& o- r" \6 D$ }/ `在窗口中添加一个按钮 ' ?8 K$ N. B: l$ r2 y: E
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
+ y+ q; k* {, s Dim csa As CSA_Cnhup = New CSA_Cnhup* G8 V6 k! J; E) r; P
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Dim x1 As Double, x2 As Double# y4 u( I D2 \' h) R _
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " "): D2 m5 a6 g/ e# G2 b- D% }
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
% z: u+ U- n9 p* ]' h: A Dim y As Double
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+ l) |: Y+ s6 h2 L: v: q For i As Integer = 0 To 19
" Y% i: u1 D: P5 N y = csa.CSA(x1, x2)
& Z s- ^. H7 t6 _ Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString). j8 f7 {/ x J3 X( V/ q
End Sub ; I) L4 S! f$ |' R1 ~+ g/ ^5 q
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