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
J( i$ E' A. q: w8 ~觉得有用的给个回复,拉拉人气..
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Public Class CSA
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. |! R6 f# S0 u, J Public Function obFun(ByVal x As Double) As Double
9 d- [' I4 Y* P; i; e+ [ Return 2 * Math.Pow(x, 2) - x - 1
1 n v! ]' E3 L; e4 j End Function" V6 g# D5 a& {5 z& B _, y
, M( E* m- a3 H; e: Q' v ''' <summary>
8 F7 b# V- _! S# S( m/ l ''' 传统的模拟退火算法
3 x! d0 _6 s) G ''' </summary>& }- c; R5 Q8 h+ Z/ i( W
''' <param name="Ux ">参数的取值范围上限</param>
6 V9 a* j% q# A5 s ''' <param name="Lx ">参数的取值范围下限</param>
. v: D5 s0 o* q" i y ''' <returns></returns>6 J2 z2 v; o. j% W( d% K
''' <remarks></remarks>
) E5 H$ N! h( Z# ?& c0 u8 N Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double( d9 k8 C2 k7 t. G$ I' Y
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 w# N1 Y9 M$ W3 \) D$ z9 F- |3 ] 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 J1 V/ C- k3 L2 ~. R
2 X3 Q" V# N8 Q5 J% z: T- g '初始化SA参数
?5 d$ g1 r* \/ b5 T. q. V3 a init_temperature = 0.01
$ i5 ^" M( m f3 g total_numk = 10001 H+ T/ S# S8 L0 e* u. E0 t
step_size = 0.001! E1 k2 z6 B" H" U9 m
receivnum = 50
% R( G1 w' w* c! N" U& t3 U G 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 w: U6 ?8 p7 T( p T! X5 V: t& V J
Dim temperature_k As Double = init_temperature '定义第k次温度$ t- o2 b1 p2 C( r7 k% n5 X
Dim best_x As Double
* I( t: p% K3 C. T B$ | Dim de As Double = 0.02 h! D' @# C! Z) y+ d7 s# w% ]
Dim fcur As Double = 0.0
- K) W/ ~3 ]! K Dim xi As Double
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# e5 r- Y0 y% W8 y Dim fprevs As Double = obFun(x)
+ c+ J5 \2 O1 u6 [5 W Dim xprevs As Double = x4 B @. n7 }7 p' {
'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
# ~" m, m) o2 N, z1 j6 ?) l2 a Dim rec_num As Integer = 0 '接受次数计数器9 X4 C. U5 J3 t% @
Dim temp_i As Double = 0 '记录下面for循环的循环次数! p6 R2 y; e" ~8 i6 B
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk- ?" q. T! u& a: n- f
'产生满足要求的下一个数( n6 U( K% _8 a! \4 I7 P% g
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xi = x + (2 * Rnd() - 1) * step_size* H) u2 v6 M8 \
Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)
4 a$ J3 c, E: g, W5 G' Q* Y de = fcur - fprevs8 K4 U7 w2 p* [8 _" | d
3 H$ A' \' O$ O If de < 0 Then '函数值小的直接进入下次迭代- w3 F& K3 _ ? N. O. ?
best_x = xi8 `# H. g9 z0 ?! g
x = xi! C- i6 ~8 G* l
rec_num += 16 P, X. u5 _/ e- F; q E
temp_num += 13 z9 X$ P& u, m4 |8 r9 F F3 l. S$ Z
fprevs = fcur1 W4 x, m* x- c) Z E% \& d
Else" k% B9 j* ~% c( X# q& E( d( D
Dim p As Double, r As Double1 z. n% i( s L- H
p = Math.Exp(-de / temperature_k)
$ h2 i8 S4 z9 Y r = Rnd()
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If p > r Then
0 [) u1 P1 |9 r- a '以概率的形式接受使函数值变大的数; F, d9 u1 C1 p# d7 f# M: S
x = xi
$ x$ D! o9 c4 a rec_num += 1! e% S/ J7 _$ c& b7 o, {% z" X% F
fprevs = fcur3 z6 R& T1 w4 ^
End If% D% F: B. Q6 ^$ O& l; A; W5 ~7 K
End If
! @. `% m# a7 e% {3 w" l1 ^ If rec_num > receivnum Then, c- k- S4 [! y* g( u2 k8 v
temp_i = i - 1
6 m6 p7 ?* g! t! g% | Exit For
4 c3 Q6 q8 i) K+ G& g/ n" g End If
3 p v3 ^5 P% |1 g+ @$ l7 n8 ] Next6 r( J7 P, L! E& g% {9 Z
1 G( Q q' T L7 Z3 v# ^ k += 1
' {) J1 {4 Q6 Q) W8 c( @ temperature_k = init_temperature / (k + 1) '温度下降原则( c0 o$ ]: q: r3 B0 H1 h
4 l, {9 Q4 L) i' O" O# J4 N If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do% R" H/ ^5 I3 v* z s+ J
: r" }/ ^4 J; O- s! c' v6 O; F Loop While (k < 5000 )
) F" u! \. M0 d' O8 ]- g( \* R7 ]% V xprevs = x
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3 e4 V b, Y- [ Return best_x, t- b4 ?, H$ ?
End Function
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End Class
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算法测试: 3 e/ s0 W+ Z! Y4 S
在窗口中添加一个按钮 : Q" x* i8 V: Y( ~
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
9 i; `0 q3 [6 B; l$ L1 b- V. T3 m Dim csa As CSA_Cnhup = New CSA_Cnhup
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4 t( x' L) u# u& L/ o8 p$ A Dim x1 As Double, x2 As Double3 x7 c6 t( F, V: f' N
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
) |5 ?9 a1 M# T9 P% s x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "): q' G% S; f) P* H/ A3 k7 T8 Q
Dim y As Double
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y = csa.CSA(x1, x2)
3 l* G! R0 |& E4 b Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
3 W+ ^1 f" Z6 |3 g7 y. ~4 fEnd Sub ) c. b% p$ Y" ?- c( u
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