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
) z) U' R2 g7 [2 L8 {觉得有用的给个回复,拉拉人气..7 U* X8 Z. O: R6 p( |* M
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Public Class CSA6 m% ^3 o+ D! V; m1 l* {
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Public Function obFun(ByVal x As Double) As Double
4 M+ y. _- L3 |6 m- f/ V Return 2 * Math.Pow(x, 2) - x - 1: \: k& [3 m& X% k! G& e0 c- g! Y2 S1 Z4 I
End Function% F5 H! T& a. m: `
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''' <summary>
^0 L f8 _! F _* p/ |1 E: F( M ''' 传统的模拟退火算法6 R6 k4 w/ n( @" c1 Y) u# w
''' </summary>
& q8 L( g: F6 n( U! `/ R$ y ''' <param name="Ux ">参数的取值范围上限</param>7 ^4 ?6 M% J* X4 Q h- D7 {+ R
''' <param name="Lx ">参数的取值范围下限</param># W+ Y2 H4 S) J& d% R2 Q! \3 l
''' <returns></returns>, P6 F X4 k: }4 E3 n
''' <remarks></remarks>& l5 m L0 z2 i J& f; f
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double4 o! R+ u! S6 g: N3 L, G' T5 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
$ J! ?7 h# W: 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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* p8 p9 ~; I% S( ]- Q* T) v '初始化SA参数1 v6 z4 C f+ f* Y. e0 }% ^" e
init_temperature = 0.01
. v7 Z& j+ G' i& M2 H5 X total_numk = 1000. C/ z. ]( o F! ?" R2 Y
step_size = 0.0010 l: N4 r) L/ E
receivnum = 50+ L+ j$ d: ~4 y% e1 p6 A2 o
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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1 ^4 L# ] R* a& m$ E; g% S: P Dim k As Integer = 0 '温度下降次数控制变量
$ V" t% g" f. Q; j* `: x Dim temperature_k As Double = init_temperature '定义第k次温度
: g$ ]2 v' q8 M! w0 i Dim best_x As Double) ]& }# m! q$ L; z/ K- \
Dim de As Double = 0.0
J4 L" X5 @# e! G6 Y3 F Dim fcur As Double = 0.0
0 B( L2 I% T: y( L Dim xi As Double
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& A& n _- B, \ Dim fprevs As Double = obFun(x)
' S, @+ \$ D* S: p% }' g( j Dim xprevs As Double = x# v: v8 m2 T" `9 y$ P0 a" K
'SA算法核心 r. |( Z5 t5 v3 r. f
Do
4 V' `( J! S# S/ p1 }: B) c 'xprevs = x '保留前一个变量值2 r ?& u- [: v% Z! a
$ C0 B+ L. M7 K1 ` Z! A/ ]8 x
'以下三个参数用于估算接受概率
3 I' z& e" S4 A3 B# F1 {- N Dim rec_num As Integer = 0 '接受次数计数器+ q% Q4 p' R9 d9 s, V
Dim temp_i As Double = 0 '记录下面for循环的循环次数
8 h. u1 g u6 m& h. m Dim temp_num = 0 '记录fxi<fx的次数: b( I; [3 H5 G' D# y0 F( @( f
$ T" i2 g2 V; u: P! c For i As Integer = 1 To total_numk' @% ^. A& |% Q# w9 G
'产生满足要求的下一个数3 p/ B" x# k& ~) J0 H/ L3 b
Do8 t$ R: z% m; P4 L; l& [2 n/ O
xi = x + (2 * Rnd() - 1) * step_size
( J) o9 `5 l& @3 j* O, ]) ^ Loop While (xi > Ux Or xi < Lx)
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& @/ j; }4 ?; ^; S7 A fcur = obFun(xi)
- z" k2 d3 W8 u! P+ A4 Q de = fcur - fprevs
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b8 G8 F+ y; j( o2 h8 V* A. e4 D If de < 0 Then '函数值小的直接进入下次迭代
( R( p( @! M: H! E4 w2 `; J& S best_x = xi
: R* A# G) p/ N7 m& ?, { x = xi/ H# _6 F+ s0 W9 T% X' u* Y
rec_num += 1
) o0 P& x- v$ f' v temp_num += 1- d2 J8 x+ @ N$ B' d7 B# S9 t
fprevs = fcur
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Dim p As Double, r As Double; q2 s) W7 H% Q
p = Math.Exp(-de / temperature_k)
6 C5 s R5 C/ F! I% J* f. E r = Rnd()! \+ Q( R U% y [7 a2 h" m
2 H8 A% t' n8 n& a9 | If p > r Then/ d0 c: f& m" A) g8 ^
'以概率的形式接受使函数值变大的数
3 I- T2 f. O: C' H& P x = xi
0 b: t) a1 V; L, D% O1 a rec_num += 17 T3 g. `/ t# }) s3 f% ?
fprevs = fcur
4 q9 p; V. ? w8 Y End If" s! \- }/ n8 ^0 U
End If- h1 x3 W8 `2 F8 t$ F* z7 e8 o
If rec_num > receivnum Then
+ g) ~' t U {! }6 f. a temp_i = i - 1
& l- C! e- B9 p1 U' N Exit For
6 G' W( W4 M1 f( V4 E End If: d8 A2 N- E* S- l& a
Next& ^( p( o2 P. x" ?, j6 @8 W$ {
' g+ n- n/ r4 ]7 A" ] k += 17 L) w) [9 Q. g/ y N. ?% x
temperature_k = init_temperature / (k + 1) '温度下降原则, ?( v1 ?" p' _. m* u: n
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )9 l: [) B5 u3 N4 O! B2 V p6 {
xprevs = x
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2 R0 a7 A# I( J: J4 G Return best_x
+ S# V6 ~4 J; G: q& H% b End Function& F% P: M- v3 Z1 _; A. f
( S$ \: y! S' _. L' G( J, AEnd Class 7 _8 B, h$ Q0 S1 V# k
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& F% h1 R2 _# |9 b$ X, u- s算法测试: ( }( h- Q3 K9 z/ P2 K
在窗口中添加一个按钮 4 u6 ]5 s5 ~) k& R6 g+ I9 j
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click6 t3 x! i8 W) c3 }
Dim csa As CSA_Cnhup = New CSA_Cnhup7 B( A7 x3 M6 V' w7 C: c, t& A
: b; C$ l( i( d4 z5 [2 ?0 w7 R {& U Dim x1 As Double, x2 As Double
. A' o* j7 ?. i5 a% O" x x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
0 u/ Y# X- p3 u$ D. v4 ?( D9 T x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
7 H# o0 }9 Z9 D: C3 G; d* d& c Dim y As Double
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For i As Integer = 0 To 19% I8 n. \# H% | }8 m
y = csa.CSA(x1, x2)
1 u- H( k& d% R7 E Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")"), ~( |5 d1 l# n* N
Next
; M. e' `# z, W4 O! v& o Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)( n) k/ o; W0 m# {( Z
End Sub 3 p0 y0 _5 ?4 M% I `# u' M- t
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