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
. {4 p% O, {: W+ z; I觉得有用的给个回复,拉拉人气..
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Public Class CSA
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8 }4 b( u6 r7 }2 x$ b( X4 l' o6 z0 r Public Function obFun(ByVal x As Double) As Double3 N: I& u6 M P9 q$ \! H
Return 2 * Math.Pow(x, 2) - x - 1
4 }# o, @9 Q" j3 b8 d5 _$ ~ End Function
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; J% W1 U. H4 f) R# O- r ''' <summary>1 L1 T( q& M3 a, Y, [+ V
''' 传统的模拟退火算法
3 \/ n. l& B3 s' H# v ''' </summary>
2 p0 A4 `* P4 `; {* w; t ''' <param name="Ux ">参数的取值范围上限</param>
! m3 B% [8 M, b& G$ Z# ^; C ''' <param name="Lx ">参数的取值范围下限</param>% @, m" ^! e6 m7 ]& s
''' <returns></returns>
& }+ n& @& e4 L/ E ''' <remarks></remarks>* }6 ~9 u/ L' N" G( _" }$ [
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
) o8 X$ Q9 E$ _0 u 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! t4 A* I* q3 I) W5 I* H
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7 V( k8 b5 \4 u
' `) h8 u; a J [ '初始化SA参数
( b& L' R$ Q" N7 Z" T" \8 S% u init_temperature = 0.01
5 P* Y( z- W/ Q7 Z5 o* p" k total_numk = 10007 X u2 n# e5 g- v5 v
step_size = 0.001* c3 b5 X5 W$ }$ f% a
receivnum = 50
" k6 v; o+ R7 m, n$ ]: R' J x = (Lx - Ux) * Rnd() + Ux '随机产生变量x! a' T9 ?7 ~2 w
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Dim k As Integer = 0 '温度下降次数控制变量% _) y7 `4 z, N% n- n. j' c+ Y
Dim temperature_k As Double = init_temperature '定义第k次温度
# j! E2 I f- N! [ Dim best_x As Double$ [! G- P8 h6 F# c& a& \
Dim de As Double = 0.0
3 z$ h( g! [+ ^$ ]' Y& v Dim fcur As Double = 0.04 _- q( ?+ F: ~& y) B8 I
Dim xi As Double0 {% g( Y- a* e, g ?& w
0 M7 J1 P* `. d Dim fprevs As Double = obFun(x)" P- y, r5 Q/ o4 _
Dim xprevs As Double = x9 b8 w+ ^4 M+ ?# B/ ]8 d2 ~6 _2 ^1 v
'SA算法核心
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'xprevs = x '保留前一个变量值
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B% u G) }! H1 c E '以下三个参数用于估算接受概率
^1 P$ H7 b' y _( N g Dim rec_num As Integer = 0 '接受次数计数器9 _+ K7 Q- e+ A/ V! `; e$ A. y
Dim temp_i As Double = 0 '记录下面for循环的循环次数- Z" T- N1 M1 T7 j
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk$ t# D8 B6 C: c. F% I" h0 o
'产生满足要求的下一个数
6 A4 r9 S' s- D! Q! L- j9 \ Do
3 Z+ U) y7 ]$ Z. f2 B! ^ xi = x + (2 * Rnd() - 1) * step_size
) Z( ^ v: s0 H7 T- I, Q& V y Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)
- X* B- y C7 j; V de = fcur - fprevs7 u. P7 C5 A w* h" H
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If de < 0 Then '函数值小的直接进入下次迭代+ M0 i0 D' w- @% g! C
best_x = xi$ N8 l+ B0 O; T9 r
x = xi4 \( P# r! W7 y# c7 |
rec_num += 1
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fprevs = fcur
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Dim p As Double, r As Double
* q1 Y9 |/ f2 z9 |% m: i p = Math.Exp(-de / temperature_k)
6 F# ]8 P( F2 W; l# S r = Rnd()( ?& {# X2 a) U8 ^8 r
( a" E; {/ O7 O3 @ If p > r Then
8 y: Y; ^% G" ^! V- ^ '以概率的形式接受使函数值变大的数
' h# \$ e8 C( D- m. \! @: e' a x = xi- k) x% d* T3 e( @5 S* i! k
rec_num += 1
$ j: _# x8 E% g1 A X5 j fprevs = fcur
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End If0 k" l4 c+ A+ H
If rec_num > receivnum Then
# r9 O j8 I* y5 ^$ L temp_i = i - 1. A$ l3 O7 |/ L4 W8 o
Exit For
6 I1 C. W' J5 n$ } End If
; |9 |9 p7 \. j' D9 N. \ Next
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k += 10 v% U+ Y2 \! m( @' g1 t" `' E
temperature_k = init_temperature / (k + 1) '温度下降原则
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do B2 @% r- ^: A3 R- ~, A
% U7 D+ Q+ i4 }- `1 Z0 Q8 g Loop While (k < 5000 )( _6 Z# n$ M) H" P
xprevs = x4 X6 w9 H7 G0 }; K: h' X
3 H0 \) S8 @5 O; r# i) h5 X" y5 ^) m Return best_x/ K5 C( F. z0 J# }. `9 h
End Function" q4 h2 e( R5 m2 {+ I2 e1 T
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End Class ) J2 d" R; S* T' M* j1 o
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算法测试: 9 j$ ^& N+ z+ X0 O/ e( |
在窗口中添加一个按钮
' V9 p, z7 Q( l' ~' VPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click) o5 j0 I: z) E, ^; t4 p( o; N% \
Dim csa As CSA_Cnhup = New CSA_Cnhup
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' a7 `0 R" S; _+ z7 J Dim x1 As Double, x2 As Double
% r4 J% p T) L$ Z x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")" Z* ^( ?1 b* ~6 U% n+ E
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
* [8 ]+ v" l9 r' E3 }3 g Dim y As Double4 p/ J" |. V% X+ Q( x2 v3 d
4 w# l( k, l6 S9 g' c- K/ D For i As Integer = 0 To 19
# A" D) Z k4 r y = csa.CSA(x1, x2)' @$ `1 l, ]5 Y$ e# O7 P
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")# q7 x* ^( H5 @4 j
Next
, p* C, H1 I; G1 | Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)) s8 ~8 ?; u7 w3 ?: N6 t' Q
End Sub 4 ^) d& s$ H" S& [+ [) U( |* e
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