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 20056 k7 J3 n9 z* K, f+ o( k. Q
觉得有用的给个回复,拉拉人气..
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Public Class CSA
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/ {- B9 v& C7 s/ m2 }# w! f1 I Public Function obFun(ByVal x As Double) As Double
$ m' b5 \' i M; t0 h Return 2 * Math.Pow(x, 2) - x - 1
* }; k) \. V- x" Q) N. \7 Y End Function
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/ J/ u7 t' \& V2 P# D0 u ''' <summary>
- ] u5 `. N9 n8 w5 v I; l5 w ''' 传统的模拟退火算法
' L% c# T7 s! ^0 |1 _0 s7 e ''' </summary>
; R7 W& |! S# F! f, W ''' <param name="Ux ">参数的取值范围上限</param>
$ a' Q) K" H; r4 ?/ X* K( t ''' <param name="Lx ">参数的取值范围下限</param>
2 O7 z8 _2 x2 x2 R+ h' o ''' <returns></returns>
) F! m* K4 G9 N- b* B% _5 S ''' <remarks></remarks>0 u- d6 s' {; R+ F0 a/ c: L; H8 e
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
! l/ `; _- O5 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0 c5 i+ p) r% i( s
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% `) H9 P8 `; [
) G' Q/ |& {, s1 X '初始化SA参数+ n! A, L9 j! W
init_temperature = 0.017 k# ?* U: B6 H( |7 v3 |3 e
total_numk = 1000
3 \- P: n/ u+ Y8 y$ F D) ?# v& n step_size = 0.001
6 d7 t: ?: T$ A% Q" \ receivnum = 508 D" C! z( e* @) ^) W8 R1 U
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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# v$ y; ^* y% _0 v9 I+ T" g Dim k As Integer = 0 '温度下降次数控制变量7 H6 ~ f1 S/ X5 }$ r5 z
Dim temperature_k As Double = init_temperature '定义第k次温度
1 L+ l+ A$ u' w$ W$ m, F: v Dim best_x As Double
; Q4 @+ \) E" z Dim de As Double = 0.03 F9 V) U- {7 `! C% Y# ?9 w
Dim fcur As Double = 0.0
* i0 }" {3 N9 J! W$ u% q4 x/ z Dim xi As Double
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) Y% c# j P! ]7 a+ o" P! Y8 w7 ] Dim fprevs As Double = obFun(x); {, a2 h5 P$ x/ r7 |
Dim xprevs As Double = x
& t7 n+ x7 k+ C! ]7 ?$ b 'SA算法核心' n# L) S( |1 F; s5 R. o: T9 D
Do
$ @* w+ d) F& o2 _3 b1 r* h 'xprevs = x '保留前一个变量值
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& t6 `; P9 g0 y# u& a4 k- G '以下三个参数用于估算接受概率2 |7 m' y3 ~0 Q
Dim rec_num As Integer = 0 '接受次数计数器
8 j1 y( J# n7 K1 Z Dim temp_i As Double = 0 '记录下面for循环的循环次数
R# R( S( C, F R9 ^ Dim temp_num = 0 '记录fxi<fx的次数
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! z2 B: N. S2 n* P For i As Integer = 1 To total_numk# c1 x# S- l E/ S( l
'产生满足要求的下一个数
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8 C, {+ G4 n7 E! E0 N xi = x + (2 * Rnd() - 1) * step_size; b- l, R( O8 a
Loop While (xi > Ux Or xi < Lx)# j# ?0 o* c5 `
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fcur = obFun(xi)# H+ R" u3 h" _2 ^, x
de = fcur - fprevs
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* N& ? E& N# }* }$ Q If de < 0 Then '函数值小的直接进入下次迭代) _! O, v9 V& {2 C! y% \1 [
best_x = xi2 ?- ~; }/ o( ^
x = xi
5 V; t: z6 [( E) l3 s o rec_num += 1
1 q' K" n& @4 ?# |6 z$ a temp_num += 1
^9 ~! L/ K- a: k. Z/ e0 J0 I. E! H fprevs = fcur& Z; V) a) Y' p7 f
Else( ], s, @& T( q3 M6 n" ]0 f
Dim p As Double, r As Double% b" H. l/ C/ y
p = Math.Exp(-de / temperature_k). M; f6 E6 Y- Y/ i: V& D
r = Rnd() Z/ \. K m2 L% K. W
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If p > r Then
, Y6 O* ~5 j. U: L& K; M '以概率的形式接受使函数值变大的数
( v8 k% {6 Z& v$ {- b x = xi
0 S* o6 g' @1 |# z; x9 k- ^ rec_num += 1
( d1 G! ~. e# o* B# n+ P& n fprevs = fcur' ^* d0 t) v6 J& c$ m h- K! F
End If: z4 K( R* I5 y0 C
End If# _, S) j0 s4 m
If rec_num > receivnum Then3 l: {9 t8 O6 l3 G/ X
temp_i = i - 1$ V0 z: a9 C; {# ~ a
Exit For
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Next
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k += 1
0 x' w8 J' R, q8 @1 }# |' l temperature_k = init_temperature / (k + 1) '温度下降原则
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3 x6 k- U& p8 I If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do3 O" F/ {$ h: o3 k
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Loop While (k < 5000 )
$ `/ J# v1 e9 v) x: ]1 }1 O xprevs = x
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: q1 i( F" Y9 Y+ p& ? Return best_x
1 \. U/ s6 b, E3 {! y; _ End Function
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End Class 7 m/ w" z8 I" a% R: ]
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9 E& y9 [7 R9 l; J% t! m* Q6 u算法测试:
; R3 p: a* Z* e, t+ K9 J9 w在窗口中添加一个按钮 " G- c# t( Q; L- q# u; [& L
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click, l; [8 E2 {9 |) p5 C& g
Dim csa As CSA_Cnhup = New CSA_Cnhup5 g2 ^5 J3 I6 ]! A) ^) W; A
! _9 X! b6 {$ a( ~ Dim x1 As Double, x2 As Double
; R9 c+ m# _7 i8 h- Q g x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
% J, l) L' m V2 ?2 x% [ x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
7 ?# s! ~+ S6 j# c, w+ C Dim y As Double
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4 N/ n6 x: A, @- Z4 } For i As Integer = 0 To 19, M! S8 N& [' G7 i0 H- S3 I
y = csa.CSA(x1, x2)
+ f( m& h! ^0 n5 p2 k; Q Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)+ |, t; f/ g5 r" j6 R
End Sub
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