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
5 H$ U) j$ [1 p# _觉得有用的给个回复,拉拉人气..0 u( @3 R; ~$ c: [
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4 b1 Z3 F% ~8 `8 N! [Public Class CSA4 w: |( [% a' j
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Public Function obFun(ByVal x As Double) As Double
7 C% M2 }2 Y( R Return 2 * Math.Pow(x, 2) - x - 1
% ?. {; I) R6 i/ H9 r End Function
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, F/ w0 |3 n/ i0 N, d ''' <summary>
/ z5 m5 ~ E1 w- k ''' 传统的模拟退火算法
7 F9 i. p$ @2 f* s ''' </summary>
' t. R7 o: m3 u- }) J; j9 G1 h ''' <param name="Ux ">参数的取值范围上限</param>
" M6 l# x) N/ _- L ''' <param name="Lx ">参数的取值范围下限</param>1 r* O& a) }0 S0 m" R
''' <returns></returns>! |! c. G( N; D; K& H5 j, \+ f$ Y
''' <remarks></remarks>2 B. ]1 t" k! f3 @
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
- |$ U A+ R1 B% o4 E* d 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* P4 [' g/ i2 [8 C$ Z& P& ]$ K 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/ ^5 X% ~4 a1 G! o! S
0 j6 z7 C6 [$ B& a* G, N. ` '初始化SA参数, p3 y7 Y- L6 e4 @7 G
init_temperature = 0.01' m/ y% }* E9 s5 M
total_numk = 1000- o( g/ S& P2 u$ m! T0 Y
step_size = 0.0014 N) _% S9 n7 t. f$ o3 U# M
receivnum = 50
/ E# @: h6 I& y+ `* E4 v4 Z5 u1 Y x = (Lx - Ux) * Rnd() + Ux '随机产生变量x& _) g2 F7 g, o
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Dim k As Integer = 0 '温度下降次数控制变量
0 m) c+ b$ A3 @3 E! i; g' d1 b Dim temperature_k As Double = init_temperature '定义第k次温度
$ t# ?; E2 [) R Dim best_x As Double
2 x+ W+ M( L- f9 p0 n7 P Dim de As Double = 0.03 N0 `. K% W4 ~/ @" g
Dim fcur As Double = 0.0. f/ O$ g+ {' [ |
Dim xi As Double) a4 h" x j0 {5 d
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Dim fprevs As Double = obFun(x)
" M3 K8 {! O& k! `% e Dim xprevs As Double = x
8 {$ b2 h5 [3 v/ ^ 'SA算法核心
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'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
! z3 L* R5 N- m% P$ l. Z. k Dim rec_num As Integer = 0 '接受次数计数器 D/ Q0 A2 ?7 m6 O9 K0 r" w
Dim temp_i As Double = 0 '记录下面for循环的循环次数
4 z' u# E. ^& X& E- L% c+ i* ^) V$ t: B9 A Dim temp_num = 0 '记录fxi<fx的次数
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0 u3 ^2 l" ^6 Q For i As Integer = 1 To total_numk9 G( D. x/ Y8 K2 L: ]' G! D& w! R
'产生满足要求的下一个数* Y3 l) n" _6 ~$ T4 m: z! l' ?
Do
1 _, @+ I& Z( y+ } xi = x + (2 * Rnd() - 1) * step_size
/ U9 U R0 Z) s. S Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)( \6 i% @) P# X4 z) z; t2 c3 h: }
de = fcur - fprevs4 M1 b, K) N% D$ v3 U/ e$ U1 E
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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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! }- N5 q/ c" x# U x = xi' x- o2 r* N" r. p9 I3 C+ F3 {
rec_num += 1; T3 h, {2 M. r4 i, ^
temp_num += 1
# n2 B1 U8 O" j8 J# n fprevs = fcur
- ?( [+ ]4 Q: d% Q Else
5 } y+ g# c @3 y! L; Z' R Dim p As Double, r As Double
& w" [4 p; ^$ A+ U p = Math.Exp(-de / temperature_k)
9 F$ A: `; L. [6 r" u, m2 q# Q r = Rnd()
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If p > r Then
3 H* A$ O' d/ C/ T; @0 D3 F0 X '以概率的形式接受使函数值变大的数 a) S. W* w" m
x = xi5 c0 \7 i& |$ N7 q& R5 p4 E
rec_num += 1
' K9 I* f# F" r9 t' Q$ Q fprevs = fcur% D# h* ~4 T, W9 B) Y# j4 ]3 y
End If
) D/ W% e( {7 s5 w! a2 p End If& P" D" S4 c# Q: H: @
If rec_num > receivnum Then
! `, D( x; `# {6 u. Z1 S9 ] temp_i = i - 1) T* s- ]1 s8 r2 U- K+ T
Exit For. o, }: s; Y0 }6 _# V* N( h' C+ W
End If* Z. ]" x, _ E% r% F
Next
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/ R/ F; C& |8 G/ ~0 O. B E0 @ k += 10 F/ i# U+ L5 e- _% ~: n, O. }
temperature_k = init_temperature / (k + 1) '温度下降原则( R9 W5 M" k6 d: H, L7 L
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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' v1 O; ] v$ f$ k* l4 v5 B Loop While (k < 5000 )
- g4 h2 s, F( |0 v' H xprevs = x4 Q$ n6 Q" O1 {7 n3 z5 ~6 n
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Return best_x
6 S9 E" S" ]2 U/ h: w End Function
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0 m: F9 n3 m- y# t- dEnd Class
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算法测试: / i7 S6 T8 r; Y
在窗口中添加一个按钮 9 p0 p. I6 c& n# n+ x
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click; ~& {" u" |4 E
Dim csa As CSA_Cnhup = New CSA_Cnhup
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: c( \ G1 n/ Y Dim x1 As Double, x2 As Double: h' U+ I. u5 k
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
$ E! h7 }% e2 I0 C x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")2 H6 i" H7 O$ f( {
Dim y As Double( h" _' Q* g+ F- p" Z7 X0 c
) K& B7 A# ^$ C8 I For i As Integer = 0 To 19
! A7 c/ Q% ]8 d, ^) }5 n y = csa.CSA(x1, x2)! j: Y/ c$ T8 A8 g, D& `! M+ s# R
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
6 C) O# l; U2 r; n8 V8 }; t# E Next
9 f" o) g# p- m. W1 Q3 W9 M$ @ Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)# H# I% x6 Y9 t5 O
End Sub
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