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 20054 R2 E' V- T3 c' v6 A9 g
觉得有用的给个回复,拉拉人气..
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! {( h) C0 T# a3 X" aPublic Class CSA
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1 B0 [. J: @& `4 y7 B# t' y Public Function obFun(ByVal x As Double) As Double8 a! {& l7 d1 e, ]: y6 w2 T. n
Return 2 * Math.Pow(x, 2) - x - 1
G" y+ X2 ]# X. o End Function$ k/ T& B7 W6 w; y2 I$ d
* o: t' e6 s$ I0 g1 C# H ''' <summary>- `+ v4 Z9 C7 q# D
''' 传统的模拟退火算法
/ W3 w" w7 u! z! T( Y9 \ ''' </summary>
( ? r% B. Q- r9 M ''' <param name="Ux ">参数的取值范围上限</param># {& U9 x: O8 P4 H
''' <param name="Lx ">参数的取值范围下限</param>
: N7 n2 _4 e7 r& W ''' <returns></returns>8 x6 z/ ]/ {: c6 f
''' <remarks></remarks>2 f" Y7 }% l/ `3 T2 c
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double1 ~( W4 Q( M# H
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
$ I9 W, L# {% `4 y' i- Q; M/ y 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; U9 I/ g% I4 f, \" f
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'初始化SA参数- f; j1 ? N5 s/ n* z' ?
init_temperature = 0.01
$ Y* @' @* I: I+ e) U. f2 v3 l$ U2 Y total_numk = 10003 @0 U: O- c! d4 z/ ~3 ?* b2 y a
step_size = 0.0013 g' q- p, ?# G5 ?5 j
receivnum = 501 i; G" L0 Q2 d) M5 _) x& z! k% Q" `# n
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; |* f2 L' m. h9 s) @
Dim temperature_k As Double = init_temperature '定义第k次温度
8 M+ w2 k& d' Y/ j) { Dim best_x As Double
/ a* G( m. Y% t" o* H Dim de As Double = 0.0+ E: I; v/ K* w8 a) f) t% K4 m% b9 R
Dim fcur As Double = 0.06 }- j' r( \" n% t3 P
Dim xi As Double& G1 Q# U' _. r' J! p
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Dim fprevs As Double = obFun(x)0 L$ p8 P* s4 W% O! E! k
Dim xprevs As Double = x
1 ?* W U, {* _! {. S 'SA算法核心9 d# M! ~2 A5 `, Y
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'xprevs = x '保留前一个变量值
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. {6 O( [" C$ c2 E- f9 _; f '以下三个参数用于估算接受概率
1 |6 @# b+ h. x/ X3 W Dim rec_num As Integer = 0 '接受次数计数器/ N a# R7 Q+ o- e$ V; S9 v
Dim temp_i As Double = 0 '记录下面for循环的循环次数1 A2 D" a% k/ A! {9 O# F8 u
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk
" O' Z& d o; K: s '产生满足要求的下一个数' O3 s t' \ ~. C5 ]
Do
( ^8 D' L2 c* V9 K! q | xi = x + (2 * Rnd() - 1) * step_size, N! Q" n I- ^' j! R$ ~
Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)4 s( N& V6 g) T/ S4 i
de = fcur - fprevs
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: V' i) J( g2 ^# f/ C* d1 I# _ If de < 0 Then '函数值小的直接进入下次迭代
5 C& S9 e4 T- p2 f9 Q/ P+ [% \ best_x = xi
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rec_num += 1
; P/ m9 F8 |6 g3 R temp_num += 1. i9 L1 g2 k- W/ c j5 ~. f
fprevs = fcur
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Dim p As Double, r As Double& O; y P! M1 X1 J6 P
p = Math.Exp(-de / temperature_k); R3 }/ g; W5 {) L6 O- U( ^
r = Rnd()3 U' O3 J0 z- q3 L+ |4 G+ V' H
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If p > r Then
5 E/ M! X: `/ U2 h- n7 o6 |8 q '以概率的形式接受使函数值变大的数
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" c Z% v2 b0 c rec_num += 1
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End If& Y- M% T3 n% R% L
End If
3 e9 s w# i' {. e( S( ^# ~% I If rec_num > receivnum Then( c7 p$ `$ n" T: ?
temp_i = i - 1, z$ E2 i9 w7 B- `' ~) [/ T: i
Exit For
' }5 K1 Q0 E* z! s/ {5 F6 x* B End If
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k += 1. }$ H. i: c2 o$ y" E! p2 f x
temperature_k = init_temperature / (k + 1) '温度下降原则/ X( c8 t1 ?1 V- R% C
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )3 Y" A0 ?" j1 z
xprevs = x. R+ V: j0 H9 [6 H& q
& k. e) w3 m" f$ @ Return best_x# P1 z7 {6 S. D- l, T$ C
End Function U, n7 D9 p. N) E8 i% x
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End Class / X# B, ^* r8 o( y
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" B1 O2 @) a9 k) {' \算法测试: w) x U$ u& U& K3 {
在窗口中添加一个按钮
( s }: v( D, [- pPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click* f, D* }2 b4 L4 C3 X/ Z) W' M+ h8 I
Dim csa As CSA_Cnhup = New CSA_Cnhup
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3 O7 }2 t3 p& [4 [" @' W Dim x1 As Double, x2 As Double e( o; D: m. d( a) s8 [% f
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
" D L* L" o4 ?8 f0 ?; E+ J. C7 u/ O x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
5 }/ Y8 W5 t0 `, P1 f" Z S Dim y As Double
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For i As Integer = 0 To 19
- p: A! C* t X# P. { y = csa.CSA(x1, x2)9 b4 W% Y' z: Z5 v" J5 |, P4 H
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")5 v1 s$ g i) q& l* s; |- r4 X
Next( I: Z1 n9 V) w* l1 v2 R$ G% |2 P
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)" D, ^) ~( n6 Y2 }& e; M# @: G
End Sub
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