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' q5 F" @* e; W: ?% o: k& t
觉得有用的给个回复,拉拉人气..6 O3 W/ V7 R( t: n4 X, _! m3 ^
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Public Class CSA
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Public Function obFun(ByVal x As Double) As Double
# h" R* \+ i3 ? Return 2 * Math.Pow(x, 2) - x - 12 G( h! r* s% W. I, P+ P- K- I
End Function N6 A. z! e( W) p! C% y
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''' <summary>+ M6 X' x4 d% d# m, q2 O$ \5 [8 V' N
''' 传统的模拟退火算法' L: T6 n: a9 T* \; i! |8 o/ Z2 f& r
''' </summary>
7 E, q6 Z; X0 ? {1 J$ Q' o+ H$ I ''' <param name="Ux ">参数的取值范围上限</param>
4 n( K( }' ~# [$ l" ]6 q+ Z e ''' <param name="Lx ">参数的取值范围下限</param>
( [ w% D4 [& a$ |& ~ ''' <returns></returns>
0 N( D4 a. K% l! V' } ''' <remarks></remarks>6 U2 V4 j2 Q( T7 v
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double4 y8 N# L8 D, g
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, ]8 O9 F/ W) O% y4 f: g. e
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/ ~& f- z1 C8 G0 |
5 d! b$ x( ]# S4 Y* ? '初始化SA参数
: l- j0 C9 @0 q0 v7 K init_temperature = 0.01
, [& v# o9 S% r; ^3 w total_numk = 1000
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receivnum = 50
6 V. Y( B. v+ b' E, c 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8 E5 W: e3 x2 P: [6 a. T+ J+ T
Dim temperature_k As Double = init_temperature '定义第k次温度% L/ M; R4 M, h) J& M1 r
Dim best_x As Double! q2 Q |0 [; T7 w5 \
Dim de As Double = 0.0
; l% Y+ |$ v1 g, H9 a Dim fcur As Double = 0.0% M# L% P/ F; Y9 I! O% F! d3 x
Dim xi As Double
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Dim fprevs As Double = obFun(x)% u; ~! {& {; R" d' y
Dim xprevs As Double = x7 _( |2 |1 j! e) W
'SA算法核心$ v7 z; l$ i+ f/ c% t9 F
Do+ J/ ~. f L7 Y: P
'xprevs = x '保留前一个变量值# j- I8 _7 i1 Y% Y( q- E+ [% v
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'以下三个参数用于估算接受概率' @$ b1 O: V( A8 r
Dim rec_num As Integer = 0 '接受次数计数器4 P& F+ X3 l2 L" b) x, O& |- B! B( L
Dim temp_i As Double = 0 '记录下面for循环的循环次数
( _1 j1 w5 T h- C) F. O9 P Dim temp_num = 0 '记录fxi<fx的次数8 \! R( P" u) s: s$ G2 e& k
3 _' c- h- @5 B4 A: Q4 | For i As Integer = 1 To total_numk
# W# s# [ m$ J& p" `7 A '产生满足要求的下一个数
0 x5 r' r4 H% J- ` Do
8 s% L1 R& e% n% ? xi = x + (2 * Rnd() - 1) * step_size' _) o/ C: t v/ p6 z, B0 C
Loop While (xi > Ux Or xi < Lx)
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7 \: `. a& H# D- Z fcur = obFun(xi)
7 M1 _* y3 X: B" @" ~% O9 Z de = fcur - fprevs
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0 \9 |( b) Z4 u If de < 0 Then '函数值小的直接进入下次迭代: f# v' v0 ^0 r- s2 f1 n
best_x = xi
W4 b% s$ S8 N. o x = xi
- I/ j8 x* ?' }# k# z rec_num += 1
* S( _$ F7 a6 M9 \( l7 ^# ] | temp_num += 1
1 K( E6 M, M: M: N8 ?) { fprevs = fcur
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* @ |* h2 r7 E# Z) U Dim p As Double, r As Double; I0 C9 X0 R4 A6 j$ T3 L4 B
p = Math.Exp(-de / temperature_k)
& X$ K1 D$ [; ?7 O r = Rnd()
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If p > r Then
6 r& I# i F' o' a7 G( S3 [$ g6 x '以概率的形式接受使函数值变大的数
* l3 X* m/ K1 J! x! k9 Z* W! S2 P x = xi
/ S+ t2 i1 d U rec_num += 1
' j! |( s4 e, Q0 _. o. \ fprevs = fcur
$ i4 Q6 O5 _( }3 Y6 @: _3 v End If! q6 Z1 p' E7 l3 b
End If
2 @8 D% n: H; Q- K If rec_num > receivnum Then7 i1 ~* ]0 }6 W/ q, L2 X) Y
temp_i = i - 19 C; |4 X6 ~9 A4 [( x# R/ G& E
Exit For
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Next3 r7 t3 m! C! ?% E" {1 x
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k += 1
c' [& e) n e( s temperature_k = init_temperature / (k + 1) '温度下降原则4 a! U6 `" O' z) R
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )
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Return best_x
9 W, O) }( g' R7 O End Function- v2 ]7 v0 F) V/ p
5 a3 f2 K0 N" o4 tEnd Class C/ |! d8 q) g0 f2 S4 t- K
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算法测试: ; n# ]0 v+ v" U: h Z) }2 J$ d4 B
在窗口中添加一个按钮
$ y# \: |3 k! C0 _/ v* ^Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click# Y1 u$ B3 L+ M9 D
Dim csa As CSA_Cnhup = New CSA_Cnhup
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! ~; q0 J8 g9 l9 { Dim x1 As Double, x2 As Double7 X/ c4 \. ~+ p S, H2 H! W
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " "), ]- m" n" f9 [
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
7 h ?5 ?; Z. G; {: f# h Dim y As Double% U7 m. G' o, T0 r
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y = csa.CSA(x1, x2); z A5 k2 k% r. y2 E, ~5 s
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
) {1 [9 k& A" i. I0 y* z' yEnd Sub
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