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) `- M- Z+ o! |& T
觉得有用的给个回复,拉拉人气../ ~! d# t" B& P1 `/ O1 n- q6 c, Z/ o
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Public Class CSA
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0 s8 A* g. n4 G: E* h" X Public Function obFun(ByVal x As Double) As Double
: a) Q/ n' P# L; a, }4 ?/ Z Return 2 * Math.Pow(x, 2) - x - 1
8 `- B5 ?; V) y8 |& x+ D, {2 } End Function
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''' <summary>
9 U- K, \) Y* T# _ ''' 传统的模拟退火算法8 x9 C. D; l+ F' ?! F
''' </summary>
8 K* K! i+ Y5 I% C; f# | ''' <param name="Ux ">参数的取值范围上限</param>
0 K. A' {& ^! p* H) p ''' <param name="Lx ">参数的取值范围下限</param> _ Z, B' }1 f+ Q
''' <returns></returns>) B% Y& Q# O! D) A6 [/ `8 s
''' <remarks></remarks>
* t2 ]. v' p6 S7 H) M Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
8 J7 Y4 ^3 q4 @# D9 K 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 {1 b6 s" w, `8 j 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: I$ v5 Q% [, Z2 W6 h$ `
- g2 u1 J5 J6 j5 I; o '初始化SA参数
" g. L' g* |4 u: i8 t0 [0 q! l init_temperature = 0.013 B) D6 Z$ g+ D+ M0 G
total_numk = 1000
. `5 a; E( _1 D$ I2 } step_size = 0.0011 d3 A1 ?; w' b5 W" u
receivnum = 50' \6 _2 X! {1 w: x7 v9 u0 l- Q
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x1 {, y6 @7 }' k
( w3 u4 L1 q% g Dim k As Integer = 0 '温度下降次数控制变量
2 C* G3 k/ P- M9 a2 Z) P Dim temperature_k As Double = init_temperature '定义第k次温度
7 R8 b6 c* ~: c+ o2 _7 a, S* E Dim best_x As Double) d- s2 f6 w8 E3 ~* q% O
Dim de As Double = 0.0
# i. x* I5 H8 S& D1 E Dim fcur As Double = 0.00 \& j0 A5 U3 e4 T
Dim xi As Double
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. z6 c" L' U! N* L5 J- u Dim fprevs As Double = obFun(x)" U2 t& ?) {- j, T
Dim xprevs As Double = x
) m; u+ f/ F( u% J y- Y6 P 'SA算法核心8 l2 B8 {9 g. G; k" ^$ z" ~
Do# z+ A1 B) [7 u1 o0 Y; w
'xprevs = x '保留前一个变量值
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* O! i k" U- ]% f6 m' @: O '以下三个参数用于估算接受概率
9 a0 U- j: z" L1 b7 y9 `$ M) Q Dim rec_num As Integer = 0 '接受次数计数器
) B' T% G$ d: y7 n Dim temp_i As Double = 0 '记录下面for循环的循环次数1 o+ c: W4 _7 C8 h8 ~ X
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk0 R) [$ [1 c) s3 @; x" k; U, H
'产生满足要求的下一个数# R9 J+ B, i0 ^$ O# g
Do
M/ x# K# v3 Z4 X3 U xi = x + (2 * Rnd() - 1) * step_size/ [9 q3 T' z, |# [
Loop While (xi > Ux Or xi < Lx)0 \' p9 p7 y) i5 C" d
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fcur = obFun(xi)
1 K" @2 m0 S! ^/ H de = fcur - fprevs
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/ f) {/ O9 D( j2 `& f: i9 [ If de < 0 Then '函数值小的直接进入下次迭代
: ^; b1 T- @& ^+ @5 C$ ?/ z9 T best_x = xi
" @. I1 z9 O- N N& G5 A) x; {0 y% c x = xi% l. e, G1 A- V8 ^, r+ H6 W7 }
rec_num += 11 z3 b9 G/ B: X9 w, v+ s8 T% e9 R
temp_num += 1
8 y0 \6 H- r4 g1 a r fprevs = fcur6 i( M, d- O y- W( X
Else
" l* B9 ^. \" b# y: T Dim p As Double, r As Double
4 x. _0 k( H# s4 T p = Math.Exp(-de / temperature_k)
6 W. i1 d6 H' q* D, V: |2 P r = Rnd()
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If p > r Then
! ~# D$ G9 y D/ |+ @. O '以概率的形式接受使函数值变大的数
, R# X {" L* ^0 z2 ^9 F x = xi
4 W+ Z7 S# h0 Q) ]8 C% G3 d rec_num += 1
! k9 d0 N( Z3 M- M fprevs = fcur
0 D4 U' o: m' A End If
8 {1 y. F- b3 o: E8 u# D End If( P$ F2 s5 t9 {. J2 ?3 d- K
If rec_num > receivnum Then
2 q$ E1 n2 m+ Z, A; [ temp_i = i - 1
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End If
2 g |- `; d6 J( s Next
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& A% e2 c' [8 W) a! s/ M' i2 z" k k += 1. b5 {/ Q8 a- r. k
temperature_k = init_temperature / (k + 1) '温度下降原则
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, E7 C6 E! {, X If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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' ]" q( w) W" q Loop While (k < 5000 )
- J' ~# b) L! s- D& m xprevs = x
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! o+ \8 H8 D; }+ K Return best_x5 Q$ x, L; f1 i0 q( k
End Function+ C9 g! a1 s. E* j# p
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End Class
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算法测试:
0 Y/ n3 S# c# O! e, X+ `7 p+ X1 t! h在窗口中添加一个按钮 ( R3 T5 S3 R2 M' L; K4 {4 p; U1 f
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
" M1 y% }5 r- Y& O1 M; n9 r; \ Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double5 C7 R) E& A. Z) U# {" V
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
, G% ]2 a0 X3 j- A' R9 G x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")# z- S8 D9 e Z% w
Dim y As Double
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v6 t3 ?7 D. r* V( g For i As Integer = 0 To 19+ L) {5 S# p% @; u1 A7 ~" x' H' V
y = csa.CSA(x1, x2)
* s" B; H' y: T7 F) ^ Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
5 N3 h7 h6 Q9 V7 ? |/ x4 f7 F Next
" O6 V" o- W7 u! T0 o h Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
9 o) T+ K+ d$ v& p( [: v) f5 jEnd Sub & H, g9 A5 n Z/ U* ~) O8 i% R2 H
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