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
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# H9 Q( F$ _ _Public Class CSA
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2 }5 q+ x: d6 S: H Public Function obFun(ByVal x As Double) As Double( ]" s+ `1 Q! h) w- p
Return 2 * Math.Pow(x, 2) - x - 1. ~! k7 q) j$ G6 F/ B9 w
End Function
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''' <summary>
& d. v, _( y5 {. C: U) D ''' 传统的模拟退火算法
1 ~) @: D- \1 N: a5 K& Z8 |# W3 m ''' </summary>4 D. C4 \: H% Z. E
''' <param name="Ux ">参数的取值范围上限</param>
4 y- H, i+ [% E" c/ P ''' <param name="Lx ">参数的取值范围下限</param>
2 m0 @: s5 O6 a ''' <returns></returns>1 f$ k( q7 y/ B7 S6 p! A: \
''' <remarks></remarks>! B8 [% M: a3 K6 i
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
2 {& y7 }8 K* ~% d 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$ [( u9 |: e! j' I* w 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7 V# a3 V4 V) ? d- Q
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'初始化SA参数1 ] a+ y5 r4 a
init_temperature = 0.012 ~. j' z t, Y6 W2 z/ e0 ` L
total_numk = 1000' x/ C# L+ i2 u! c8 Q
step_size = 0.001 {6 Q" Q2 ^1 ^: {
receivnum = 50
8 h4 ~ S G6 e: x5 @4 S+ R x = (Lx - Ux) * Rnd() + Ux '随机产生变量x6 P( B! Z# h8 F' C+ J: ^% n
8 `; m6 f. F/ V; n) ` Dim k As Integer = 0 '温度下降次数控制变量
# c9 j, J! I% P% R+ g& F Dim temperature_k As Double = init_temperature '定义第k次温度5 e' ^6 i0 x4 J* U+ _
Dim best_x As Double! l* Y+ K5 y5 Z1 I" {: k
Dim de As Double = 0.0% @" E0 Z: B, f( `- p* ]7 G
Dim fcur As Double = 0.0
+ m% C1 `8 o3 v* |( X! y l7 s Dim xi As Double
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Dim fprevs As Double = obFun(x)
7 Z& ^. G- q) l+ p4 x Dim xprevs As Double = x$ B" n: V. ], l* J) h1 t
'SA算法核心
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3 s# D2 U/ m: T9 I& B2 ?( x 'xprevs = x '保留前一个变量值. p* ?7 k! W2 M3 i" E# f
\- P# ~2 e5 M6 D6 d '以下三个参数用于估算接受概率
% o3 b; f; t) @9 C Dim rec_num As Integer = 0 '接受次数计数器
H/ f: ]& h( g1 H! q* } T Dim temp_i As Double = 0 '记录下面for循环的循环次数/ G6 y1 B5 r; |+ m
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk, z) q- l( y, H% k% C+ S
'产生满足要求的下一个数
S" |9 P; F. y* I3 R Do
% h/ U, L+ ^; K H% E) I5 v xi = x + (2 * Rnd() - 1) * step_size
+ @& r$ a5 H) Y3 y1 p5 x' o$ q Loop While (xi > Ux Or xi < Lx)7 K$ {8 z/ s0 u+ `6 |+ D0 J
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fcur = obFun(xi): J( w1 p! L- o" z( k, }
de = fcur - fprevs
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If de < 0 Then '函数值小的直接进入下次迭代8 o$ i8 g4 O* ^$ y
best_x = xi1 t r8 c( [- M6 I1 w% o! C
x = xi$ {1 ]) v) I6 C/ c# }# V
rec_num += 1
1 r- g# k$ E+ @! @4 [% W2 t temp_num += 1- J+ j7 b6 O- |0 G4 h/ @
fprevs = fcur
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Dim p As Double, r As Double& T& T' D: i+ v* ~9 q
p = Math.Exp(-de / temperature_k)
& z9 [& t' u( c3 O& j" T r = Rnd()
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If p > r Then
# y4 U5 P) v" Y7 u# k; r '以概率的形式接受使函数值变大的数- U% B5 Z8 d Y" L. v. f, }. f+ d
x = xi
3 k9 w" _$ E+ `. H rec_num += 1: v P* F/ o: \) ~/ G
fprevs = fcur
2 S2 T( U* v6 u End If- k8 \* n/ X& x6 Q
End If
$ |% }3 Q3 u/ J& I2 E% u If rec_num > receivnum Then
8 W8 Y- \( J0 r& M8 E( }" B/ o temp_i = i - 1
: ?2 S0 x; }- m7 k7 ^" S* H% s" k' n Exit For$ E$ U9 C7 s- J. j) ]( V9 ^( G! N
End If, j, ~' f3 }" {! f+ [8 C
Next
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k += 1
. M+ Y! q% ?: w+ Z 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& L" [2 K0 F G, `1 \6 t% P
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Loop While (k < 5000 )
4 r j9 ~. L& W5 ?6 k2 e# q' i$ W5 c xprevs = x+ v/ ?* V/ V6 _9 d/ K5 Y
" f8 h: t1 C5 t5 p3 k+ F5 }* K0 i Return best_x$ b% N& h, S$ B ~
End Function4 J) y( a: v! k5 O/ t
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End Class # r- u2 c6 M3 ^+ ~( e5 p& @
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! @* k" V; J7 R- p/ U; ?算法测试: * f& E9 l3 r5 B8 l
在窗口中添加一个按钮 ; B8 H) f O3 ~0 K
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click |1 h: A5 [* N
Dim csa As CSA_Cnhup = New CSA_Cnhup
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' ^- e6 r6 S! K" I8 G+ Y' w Dim x1 As Double, x2 As Double$ G" e* L& g2 l4 I, x8 q j
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
) D- h, v% n1 f4 O x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
+ m* i: U7 r8 ^( B3 o2 e Dim y As Double5 e% v2 U! F# _0 `1 o5 R
3 b v% Z. l. }2 t3 ?( _ For i As Integer = 0 To 19
0 [2 C* C. c% \4 l+ ^3 R5 m" S y = csa.CSA(x1, x2)5 ^) ?! _$ ~& ~% ^# z! _
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
8 f: P% L. Z; h Next
' W& \4 E# l Z2 h0 q; Z5 g6 @5 D Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
9 I, U! H, f. R* ]End Sub
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