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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Public Class CSA5 f: A8 n6 C5 s$ b+ p$ T
0 U, s5 _/ I: {/ [9 I8 v9 g Public Function obFun(ByVal x As Double) As Double
" V8 u% w% B- b2 [" W Return 2 * Math.Pow(x, 2) - x - 1
/ e2 p6 N/ C+ ]+ _ End Function
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''' <summary># @8 U9 g0 [6 i4 e" B* ?
''' 传统的模拟退火算法
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/ d$ b5 `; O. B5 G" D" N ''' <param name="Ux ">参数的取值范围上限</param>
- [+ X. F% L6 F ''' <param name="Lx ">参数的取值范围下限</param>- l/ |/ x/ e# [; D q8 v6 @
''' <returns></returns>
2 f, X/ Y4 b+ x ''' <remarks></remarks>% W& |7 I. ]( N! G U, Q
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
4 E4 y7 j- I4 U6 ]/ t- N 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: y- W! { @3 A. d
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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X; m1 v1 u$ X, z- ?# Z$ [ '初始化SA参数* z! z5 r$ t& h
init_temperature = 0.013 F# N: V! W- b" Q# }
total_numk = 1000
9 v# R, B/ y/ |7 `2 J step_size = 0.001
' Q1 W9 v' G" V [, q/ E receivnum = 505 x4 P, X! n9 X# H* x* p# Y; M
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
. {0 v# |- O# C5 G Dim temperature_k As Double = init_temperature '定义第k次温度
- S3 H2 _$ U# t v Dim best_x As Double& }% n9 X5 D2 d A& K3 [! A, {
Dim de As Double = 0.05 ]+ @; ^4 G/ m
Dim fcur As Double = 0.0, [7 N5 l0 k, o* P8 f
Dim xi As Double( w& a4 T* |3 X6 I' x
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Dim fprevs As Double = obFun(x)
' U6 T% j( R1 m ^; [4 O0 m Dim xprevs As Double = x
! {3 i$ |' z$ f 'SA算法核心, P5 v0 T. e2 Y# B: E# \
Do* b8 ~4 B% {3 D" y
'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
; q8 g9 S2 R+ v3 U% z2 n, _3 [* S Dim rec_num As Integer = 0 '接受次数计数器. q& _( @. \- c' [
Dim temp_i As Double = 0 '记录下面for循环的循环次数& d* Q6 x3 s* l2 B2 G
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk
5 m: C* Z4 P0 ^ '产生满足要求的下一个数5 v! _: E" }; F* v
Do/ v0 D, n4 x: }& ]
xi = x + (2 * Rnd() - 1) * step_size5 p0 O+ {! t% t1 Y3 s# \) L
Loop While (xi > Ux Or xi < Lx)
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6 l6 |0 A6 ?" O# z% T fcur = obFun(xi) g5 Q4 h" o+ ~5 r! q8 I
de = fcur - fprevs7 t5 d# P" ~3 r0 v, ] Y
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If de < 0 Then '函数值小的直接进入下次迭代6 |! ]" c8 m8 X' S8 k0 q
best_x = xi
' h9 d0 a$ V f/ U4 u* _ x = xi% B; O0 r) f$ G
rec_num += 1: r1 V( {# \2 t. o; @) |7 \
temp_num += 1
( I8 V2 d) A5 B0 q6 N: p0 ^0 ?6 e fprevs = fcur; _/ {- k" i' X( a' y' D
Else
, J0 _) F4 H( Z3 f ~! @7 D Dim p As Double, r As Double
, {: ?; Y. l; V* f- }2 J p = Math.Exp(-de / temperature_k)
0 i" p+ X" k9 E0 K9 f r = Rnd()# ^! z# c6 ~3 N9 L" f
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If p > r Then
" {* s# c, a% Y" e '以概率的形式接受使函数值变大的数4 W) k ^1 ?6 Y
x = xi
6 v3 t* j" a7 ^4 {" ~0 x w rec_num += 1; E, L, d9 |: \5 p+ P* k6 ^0 c
fprevs = fcur1 E- @" r4 ?" \- l
End If5 B$ W% }/ c6 q* P
End If
9 p0 {8 i$ s% [ If rec_num > receivnum Then ?" ~( Z3 X+ D9 {2 o% B
temp_i = i - 1
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End If
1 i; E' Z, a1 L5 N, g Next$ g, {6 a( |$ h8 _1 O6 m
- L7 L/ C, S) F/ T5 m. c0 D$ \+ }1 Y$ g k += 1& V: ^ o6 R) B
temperature_k = init_temperature / (k + 1) '温度下降原则; @' J1 C+ b6 H; J* ~ W( Z
+ H$ F! a% U5 `- Z5 o$ u+ O3 p' A If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )( S" z; i$ h! p' z* d
xprevs = x! V, Z2 I8 B5 i- o8 G
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Return best_x
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End Class 1 ?" a! g( U9 L0 O& n+ N4 f
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; v8 H! Q' {4 z- r# @; y7 y算法测试:
" ]7 N; r/ L; N, ]2 w! }在窗口中添加一个按钮 + q. A# m* F& u/ V+ |$ D
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click8 U7 o" C% U1 a7 W ?& u1 Y I- M
Dim csa As CSA_Cnhup = New CSA_Cnhup
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; v8 B* {* d5 q# m6 ] Dim x1 As Double, x2 As Double, Q, }$ Z) N0 ~7 C* G( N! b
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " "). c% e3 e1 A% I5 N. i: J$ x, g
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
& C5 h+ L& X+ ]. e. x! Y3 l! i Dim y As Double
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5 O: m/ h8 Q* i! v6 I l For i As Integer = 0 To 19
4 Z5 X# `1 ?2 |* | w s y = csa.CSA(x1, x2)
3 W& q B1 @% w3 o; I$ e( }5 O Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")5 n) _! D0 f4 W% @
Next
8 Z. d% W* E' P+ G# E7 h3 W8 q$ [; Q Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
/ u0 D3 o7 m- k8 r) [- ~: b* M* rEnd Sub
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