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
# o; l. q) Y$ A. o: z0 Q% V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
. \2 e1 p9 T( [, W7 s X Return 2 * Math.Pow(x, 2) - x - 1
/ ~' g; J5 b: Q End Function
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' I5 _9 l$ d8 J# u1 ]: m ''' <summary>) P# I, M) A. z7 V/ C
''' 传统的模拟退火算法) M( e, G7 |( y
''' </summary>4 `9 k. i+ G8 }. _8 J: R; Q
''' <param name="Ux ">参数的取值范围上限</param>
- M5 E8 w" ^6 L4 z ''' <param name="Lx ">参数的取值范围下限</param>; u0 c7 X' j) [/ F# x
''' <returns></returns>
$ w' Z" Z# Q( U7 h2 O: x ''' <remarks></remarks>
. q( }3 K8 n$ g' w5 s& }( g Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double# ]5 ?* p" E) c7 w+ ], H
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7 f/ k- T: j2 X& {" |$ M
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) [" t! F. a0 z: p
. y! ^) i% ]1 P" l6 ] '初始化SA参数' _6 ?7 N7 D6 i( g! E1 }
init_temperature = 0.01
9 C4 @" t9 @, ]" E total_numk = 1000) m. x+ {6 U$ s, B j) b
step_size = 0.001$ R6 M) b5 s- @3 M9 S3 S
receivnum = 50
, ^, R; P- f' ]) a% ~0 K x = (Lx - Ux) * Rnd() + Ux '随机产生变量x3 i" A; A7 j( B8 q9 {: K
, \6 g0 D5 a0 s! t& N Dim k As Integer = 0 '温度下降次数控制变量0 O, g) H: W+ x" A
Dim temperature_k As Double = init_temperature '定义第k次温度
: O! L0 u7 F, ]* z" t5 X Dim best_x As Double
9 U; y3 \6 s/ k ~6 T; b/ ?+ j Dim de As Double = 0.0
3 m) J9 l8 g( F5 R Y6 E+ ` Dim fcur As Double = 0.09 ]5 m$ Y0 u/ Z1 x) P, @
Dim xi As Double
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Dim fprevs As Double = obFun(x)
8 e1 K$ z* t$ z# p7 i6 y Dim xprevs As Double = x$ u q: u- K, ]/ p1 ^" Y* f8 n
'SA算法核心2 `& t( t h+ S
Do
9 [. r; F( P2 c: q; W% T {" U- | 'xprevs = x '保留前一个变量值
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* w/ M; c2 D2 M( z0 t6 F2 N '以下三个参数用于估算接受概率2 W- n A* g) [' A
Dim rec_num As Integer = 0 '接受次数计数器
, g6 J" Q- i2 `' r* q: Z; t1 @1 O/ y2 f Dim temp_i As Double = 0 '记录下面for循环的循环次数0 L" @9 x5 G$ _" r8 i; i
Dim temp_num = 0 '记录fxi<fx的次数) r+ k& V* _% F' ~
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For i As Integer = 1 To total_numk4 |( r* G- e7 i! V, b
'产生满足要求的下一个数6 d6 P7 Q8 T+ b' R& L1 K) N5 s
Do
2 `) b. i C# j- ~* {4 W xi = x + (2 * Rnd() - 1) * step_size
; T' Z4 W4 I" r Loop While (xi > Ux Or xi < Lx)7 G% F2 I0 A1 r r9 K
9 O" W Z( Q! K: z! x3 p9 u fcur = obFun(xi)
+ L/ m0 \4 s" M- C& w de = fcur - fprevs
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b0 K9 m: O" q! [ If de < 0 Then '函数值小的直接进入下次迭代
3 s) Y( u3 Z& u best_x = xi
# w6 ~1 i4 l' Z& ^+ A' W x = xi
0 U7 ?" ]" \' _& Q' g, r rec_num += 1, t* d. ?7 w" t6 ]& \4 r
temp_num += 1' b0 Z5 I" V) }) u' V9 B, H
fprevs = fcur
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6 e/ b9 J4 k, l3 C: \/ l) d0 [ Dim p As Double, r As Double2 ]' v& d6 T) t2 v! N
p = Math.Exp(-de / temperature_k)
0 Z" h. I2 b% E0 f' a6 S r = Rnd()
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If p > r Then: o+ w: I) z2 D4 ]; o* q A$ M
'以概率的形式接受使函数值变大的数
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rec_num += 1- k! o' d. n/ ^: |% m3 j
fprevs = fcur
% K' ~( o9 U6 C6 m End If
! m3 D# H% o1 |/ G End If# H5 G+ D. j4 S+ v. W3 m: ]
If rec_num > receivnum Then; H: L1 _# t; J$ T
temp_i = i - 1) @: _) J* b/ l$ m
Exit For
6 K: N& P5 f b' w End If
' ^1 x: P! v1 |% K Next
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1 K1 w0 o" ]4 L6 e: t% @ k += 1
+ ^3 ]4 n! m8 X) |, i temperature_k = init_temperature / (k + 1) '温度下降原则
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do/ t$ D0 _ @7 @$ A/ c
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Loop While (k < 5000 )
3 {$ G$ B3 R( z: f4 \ xprevs = x
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Return best_x
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# H, L% r+ b# ?: oEnd Class
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算法测试: ! h7 {, n$ D5 a: ~2 k
在窗口中添加一个按钮
) l# F( t4 t$ v4 ]4 ^Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
9 X/ P) `! F: C# a3 I* o( g( ^4 J3 [ Dim csa As CSA_Cnhup = New CSA_Cnhup$ ~, D8 y* N' a
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Dim x1 As Double, x2 As Double
7 W, d7 H N* h/ A x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
3 C% ~. k* C: v/ Z) ~ x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")4 _! H: ]+ }- A0 Y! m
Dim y As Double
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For i As Integer = 0 To 19
5 w8 J# f. {" q* ?; U' A y = csa.CSA(x1, x2)9 N, `! n# |5 B# P3 R& h& A6 F$ ~
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")" x! g, T. B! s' l4 @$ U, z
Next
8 C' ^# Q, g8 i; i/ {9 V' X Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)4 h5 t+ p0 O" J+ V, W) H
End Sub _" }0 w, n& D) @: w0 Q
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