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, h5 Y) W) H4 c
觉得有用的给个回复,拉拉人气..- t# ^/ `& g; a- L0 [1 b
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Public Class CSA; y6 x# Q, u. j
" @9 D) ]) A# h! U# x3 c Public Function obFun(ByVal x As Double) As Double( M0 j7 u. ~ H: N6 A
Return 2 * Math.Pow(x, 2) - x - 1
; Y, Q3 Y# R+ o! T; A. K# l5 H End Function
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" D; l0 P% Z& l& {8 ` ''' <summary>- t9 N. B- V1 g4 q4 l3 R5 A" ~4 ~
''' 传统的模拟退火算法
$ J: g" z$ J8 j0 x9 e ''' </summary>6 U# E. t8 b: V% y5 e! i9 T
''' <param name="Ux ">参数的取值范围上限</param>; A* N+ m. |! j# O) p$ V) O/ E
''' <param name="Lx ">参数的取值范围下限</param>
( [8 L" ?5 B! O+ e. n! b ''' <returns></returns>
/ n+ ?- W, u' W7 k+ v. m ''' <remarks></remarks>& a5 a6 C8 H8 {: I
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
( p9 e+ _6 @. ]1 @ 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
' Y: V: m% c- y$ ]! R o$ h, F 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) ]# g+ {6 W K$ r4 C
" @& i* w1 N3 S# m: q, T( E& Y% Z% b '初始化SA参数# M; {* x: s7 M6 k, E0 U* a. t# ^/ U
init_temperature = 0.010 L" E! b( A# h( q8 |
total_numk = 1000
% y' O, V( L, F7 m; W step_size = 0.001) T& n8 Z8 Q. n/ S
receivnum = 50# l3 e( v8 a7 c; }: U
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x4 O# h9 t( d- V* `' K+ J: J
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Dim k As Integer = 0 '温度下降次数控制变量* g1 Z/ u7 r8 {. o
Dim temperature_k As Double = init_temperature '定义第k次温度7 q2 Y% w/ ^# U5 F
Dim best_x As Double2 H& i5 c) u0 R
Dim de As Double = 0.0. ?$ @& B- z0 \2 x
Dim fcur As Double = 0.03 |( ]( h6 T' v3 h; k& U
Dim xi As Double
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' H0 |5 V1 ]8 \3 R2 H- A A+ D, J Dim fprevs As Double = obFun(x)
$ \5 D3 T% O$ K' d; o6 V Dim xprevs As Double = x! J H7 | D8 \2 R" B2 H! G/ F
'SA算法核心) N0 I) [6 o. i9 R G0 w% z0 @
Do
; ~5 X5 Q# C8 d4 s 'xprevs = x '保留前一个变量值% Y, b7 ]9 z" C9 l4 Z
% x& H [$ r$ Q" T( y8 j '以下三个参数用于估算接受概率1 b1 N" Z, b# L( m F x* B9 m0 A
Dim rec_num As Integer = 0 '接受次数计数器
1 V" { ~" j+ K p Dim temp_i As Double = 0 '记录下面for循环的循环次数
$ ^, R9 V) m. o2 C7 E# a! ? Dim temp_num = 0 '记录fxi<fx的次数; v8 p# b$ s; A) M( ^9 ?: l4 h
9 J4 A0 g. w4 i; J. L4 H- w For i As Integer = 1 To total_numk
" b8 {5 J7 v% |1 Q" u/ x '产生满足要求的下一个数
! E+ V( v) ~) H$ z. q Do
- B$ M/ V* |' Y6 `& k& g xi = x + (2 * Rnd() - 1) * step_size
9 F0 u% e, w$ Q7 q Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)6 |$ P N& ~) u' w- k9 _
de = fcur - fprevs& T" `% h9 u: x: J! w. @
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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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x = xi$ P, P/ z' \! V% f8 A# ~
rec_num += 1
6 ~+ Y0 _/ {: {& `4 g: e# q temp_num += 1$ w+ Z9 b4 s* B
fprevs = fcur
8 v, W; B: \7 j Else
6 n- J2 G* B& W2 B* Y M) O" E+ A4 ^ Dim p As Double, r As Double% P+ U( H, _) Q0 ]; e! r! S4 G
p = Math.Exp(-de / temperature_k); O/ q+ F/ [, D6 @6 d
r = Rnd()
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If p > r Then
' o: e8 b0 H. ^1 H& K '以概率的形式接受使函数值变大的数
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rec_num += 1
5 h7 j% b7 ^! J) a/ o fprevs = fcur
9 i4 H: W, p+ e3 [! b End If# k, k3 O, w. ]. J" e& F1 F
End If
2 [0 k$ l& L( R0 Y4 J! O- x" Z, `6 f If rec_num > receivnum Then
% n& r+ }! h0 O2 F temp_i = i - 1+ Y8 X: k/ H$ Q" p2 D4 u
Exit For
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Next
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* S0 x0 S& U( h! C) S X k += 1
) U- m9 Y9 y! N/ g1 ]& P( I temperature_k = init_temperature / (k + 1) '温度下降原则" h- q" j6 N7 Z* S: e* A
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )& }5 o: I& ?/ k4 }6 X( w! |" [
xprevs = x
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+ S3 @6 t( p6 E% ^3 W4 Y. a/ t$ W Return best_x" Y, u) y) W; Y
End Function L& u; i5 _4 n( r* X7 l! X
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End Class
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算法测试: # o' k3 J! I2 B8 y$ v" M
在窗口中添加一个按钮
, x3 I) R" j3 S$ W* ?0 GPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click) P) R8 k7 F9 M: `5 ]
Dim csa As CSA_Cnhup = New CSA_Cnhup2 A' J) _# D* r/ K
' o' \8 K2 z, @6 F0 P0 r- O Dim x1 As Double, x2 As Double
+ R0 H$ A7 f' }% U, n x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")' ?% ?' O4 f& v8 {5 Z
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
) F+ S5 d0 z7 V) z/ D. ] Dim y As Double
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, f6 h; {8 s# l, q* z! q& Q( A/ [ For i As Integer = 0 To 19, c) W9 C4 X4 F( Z6 e( C2 P/ M
y = csa.CSA(x1, x2)
4 S2 E( ]0 M) @1 H Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")) e; Q& L# {6 b8 q
Next
. h1 Z$ z+ |+ c Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
& S+ S! q" H0 i4 P9 J. W2 wEnd Sub
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