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
' _; D, A# I) a3 j: l觉得有用的给个回复,拉拉人气..
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Public Class CSA
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Public Function obFun(ByVal x As Double) As Double
: v$ H" G4 ^# o; B7 N Return 2 * Math.Pow(x, 2) - x - 1+ b/ H/ p( p" W7 u; q% B
End Function
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& t, F8 B' [0 }4 M& r$ C8 m ''' <summary>4 _% }$ G3 k4 s( A6 Y
''' 传统的模拟退火算法/ _4 ?4 d3 q. Q5 M: f s+ Y
''' </summary>
& Q) b" L3 g3 r2 L; Y# X ''' <param name="Ux ">参数的取值范围上限</param>2 z4 Z! G: m/ E: Q3 m& \
''' <param name="Lx ">参数的取值范围下限</param>+ B3 L! f1 v; D* Y' Z
''' <returns></returns>
; z; q+ F7 z7 q0 }) ~8 a3 t ''' <remarks></remarks>
* b( W8 g: m# I* U9 f, y Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
" ]4 f2 m4 C w) O+ V 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+ t. c% l& z* U- |% Y! O) @) 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9 D& O9 k/ G3 D" s5 Z
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'初始化SA参数6 S7 Q2 k$ M# y# ^1 ~
init_temperature = 0.01; ]# i/ v. X, N
total_numk = 1000- d; y+ c4 _1 q2 \
step_size = 0.001
Q3 z/ r. z5 e; p* c! W& s! } c receivnum = 50
- g, X$ C2 l3 H4 J1 E& |. O) p 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
; C2 M3 D5 s! O* |1 w( F* l+ L+ e Dim temperature_k As Double = init_temperature '定义第k次温度9 `) B, `0 N# V9 e$ ~
Dim best_x As Double
4 t# v/ u/ Y/ X! V2 p: ^" ` Dim de As Double = 0.0
. J _3 n/ h* M- s* A. u0 o3 G! o Dim fcur As Double = 0.06 I4 _) O8 S6 i* U) I+ d, u* Q
Dim xi As Double
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Dim fprevs As Double = obFun(x)) p- ^3 R( w7 ?) d
Dim xprevs As Double = x
+ k V* J8 F I7 S& @ 'SA算法核心
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& d. G# }1 L/ I' ]/ C* ` t' | 'xprevs = x '保留前一个变量值7 L% E- l T5 g7 v
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'以下三个参数用于估算接受概率
# Q4 w0 _/ m# R5 Y% S. R Dim rec_num As Integer = 0 '接受次数计数器
5 p% f7 {/ \* j( I9 C/ Z: E Dim temp_i As Double = 0 '记录下面for循环的循环次数
- h; h; \/ K* v4 F Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk6 z! e( t+ S! a, m
'产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size1 g8 a7 q) w9 a( X6 n
Loop While (xi > Ux Or xi < Lx)0 [: Q7 S' F2 b/ x
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fcur = obFun(xi) W) z6 `1 D+ w! \5 G
de = fcur - fprevs& R) @6 ?5 J% |/ z( r
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If de < 0 Then '函数值小的直接进入下次迭代
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+ c7 T+ s) L: V; Q, _ x = xi+ R' t" y. O+ {) {2 B L) F) v# H
rec_num += 1/ d* l- ]! n( L. M% _$ G3 a3 h' }8 Q
temp_num += 1
' n k& ^2 A9 ^' }$ r. ]! r* Z fprevs = fcur( q! M% N* g% b, t5 f4 z
Else, j, d) z, ^. j* `+ O
Dim p As Double, r As Double
6 W4 H9 x) ~! V p = Math.Exp(-de / temperature_k)
3 D% A! p# y% {5 Q, W r = Rnd()8 w0 Z+ P& m$ S4 z
; o1 c- Y5 x7 U- Y. V+ p! `: t If p > r Then
( }: ?7 R1 _: V6 Q4 E! E' ?: Y( ` '以概率的形式接受使函数值变大的数
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rec_num += 1, V' Z' M' d5 `! o2 u W- q
fprevs = fcur
( ^& B7 v9 U2 \) E! s6 o End If
/ }2 a. e* e2 C6 R% D, {( ^2 U End If
% a5 C! R* f5 X2 S' X If rec_num > receivnum Then
- z; j V- v2 }, Q# ]: ?( d temp_i = i - 1
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' H# E c: w- w+ p6 X2 e End If3 F& e- P$ X' q4 A6 V" [
Next
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3 G! Z+ N! v& u k += 1) a" T7 N# W7 _% V L
temperature_k = init_temperature / (k + 1) '温度下降原则' M* x& d/ I; t o, V) X! \/ r
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do R8 J- _* n, T1 `* O9 F
0 q8 z+ O7 S4 O5 ^% m7 `; x Loop While (k < 5000 )1 v% e3 k# M6 z6 f
xprevs = x0 x. G3 F, u" ^1 \ J2 j
+ J4 z7 K$ H" E2 C+ t l' g Return best_x @5 a* m+ e' c
End Function: K: |2 \0 { `9 ~
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8 x+ T5 c& h( Z- @' ^ Z算法测试:
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Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click/ G; \) p4 l/ _3 R& Z
Dim csa As CSA_Cnhup = New CSA_Cnhup
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, t( a9 g* O# M& { n, I; W Dim x1 As Double, x2 As Double1 ~2 ^2 }' ~1 F/ r. d
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")# o$ M3 R6 Y! s
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")3 g' v5 s2 n0 z
Dim y As Double
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For i As Integer = 0 To 19( [* Z+ [) l0 ~6 ]" v9 r5 i
y = csa.CSA(x1, x2)
1 U, a( u& c0 y* q Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
0 b9 o8 S3 W5 x7 g Next
6 W6 f2 W' c7 Q0 `; S0 ^ O0 t Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
9 r4 ~8 x+ s) }0 ]3 ?! b9 v1 iEnd Sub
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