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 O6 F: r K' q# 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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2 i# T7 E9 X) f/ p0 D+ [- V Public Function obFun(ByVal x As Double) As Double
& x# n: P# x& n5 ]8 s Return 2 * Math.Pow(x, 2) - x - 1
- L: D: P8 R1 p' U$ E5 t End Function! o5 p3 F4 u. k, X6 }
6 x4 T) t( C& _+ P+ f* K ''' <summary> A. o/ q ?' }' X% i
''' 传统的模拟退火算法. }8 u5 V$ D) p- f9 B( y
''' </summary>! e( s: G- r. C& Z" }
''' <param name="Ux ">参数的取值范围上限</param>( c' h/ |) L% R( y+ {& @
''' <param name="Lx ">参数的取值范围下限</param>
9 s3 ^! v9 p% m3 \- [ ''' <returns></returns>5 x+ ? M) \8 [9 H3 E/ q: I
''' <remarks></remarks>
: k/ a, D8 K4 ~4 J t2 {# x; v, T Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
( v* S" Z) e, {! } 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
% S G1 {/ j1 W 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$ a3 r* }, s
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'初始化SA参数9 h8 x$ h$ B, Y; U6 \8 U
init_temperature = 0.01
' Z$ J3 K3 E6 H total_numk = 10001 s, [ y+ U; W
step_size = 0.0017 W/ g) v L* x( ?2 a
receivnum = 50+ V( q& N( [8 s
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x0 o' P$ _. c$ B; c
* k' y% a: p! E7 G% q; u& f Dim k As Integer = 0 '温度下降次数控制变量
# V. }6 U4 ~$ m3 } Dim temperature_k As Double = init_temperature '定义第k次温度
# g4 D. ^, n' u+ f$ q7 O Dim best_x As Double( S+ y) s* g7 d. f9 T; k
Dim de As Double = 0.0
F5 v5 s7 B) T/ | Dim fcur As Double = 0.08 n3 r4 ^6 G" C
Dim xi As Double
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Dim fprevs As Double = obFun(x); M( A. H8 C$ y' g# J$ t
Dim xprevs As Double = x
2 y o, |$ b8 [- D+ w& R 'SA算法核心2 i' {- ^" x* u2 a
Do
/ p8 S4 g! E5 A8 {7 {4 G7 i 'xprevs = x '保留前一个变量值
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- g: L4 X1 ` \7 V8 `. z '以下三个参数用于估算接受概率
( o6 V m& I {5 O Dim rec_num As Integer = 0 '接受次数计数器2 w7 {( w; E3 q% W q( \" t
Dim temp_i As Double = 0 '记录下面for循环的循环次数
! z/ S9 {9 L0 }& l9 D0 \$ i Dim temp_num = 0 '记录fxi<fx的次数
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6 ?8 e4 i( {, C* X0 I Y# ` For i As Integer = 1 To total_numk
9 U1 `. ^" P' `; w# b( `4 P E7 i5 r& e1 y '产生满足要求的下一个数
) y% r) ^3 o7 L: ?7 E { Do
% o1 d1 o4 ~( m8 E xi = x + (2 * Rnd() - 1) * step_size R; }) s, S1 M: m# w
Loop While (xi > Ux Or xi < Lx)8 w3 A9 f. U1 D
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fcur = obFun(xi)
# u$ x5 @+ \8 w- g% B5 n3 b+ y de = fcur - fprevs1 O% [8 ` z' T3 Q+ q
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If de < 0 Then '函数值小的直接进入下次迭代0 O, |% x, c7 p# I
best_x = xi8 }7 b9 q. R m2 i
x = xi' k. p. i @* g" K x7 V5 I8 v
rec_num += 1
! ~9 P, d/ s! O# M temp_num += 1
1 _& l1 y) h* j3 X; k# A+ d8 [ fprevs = fcur5 U, z$ c1 \% ?. B' b) O
Else) A" Y& t( ^5 i; C" y- h
Dim p As Double, r As Double9 H; V, q \4 E( b* [
p = Math.Exp(-de / temperature_k)
# g' {) K4 \5 _. s# A7 a r = Rnd()5 f4 v* E! M1 R& a2 }- h6 S
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If p > r Then
7 }+ `& Z! h% s% m0 ?# a '以概率的形式接受使函数值变大的数% N! j2 D9 ?( f5 }5 B* o
x = xi) h$ R! ~, `9 O0 `: `
rec_num += 1
: m. e% h1 \, j fprevs = fcur9 ^/ U: o. T: `! N, b+ z8 k
End If. h, e+ _" f. C, ?) F+ F
End If
9 O, d7 }7 b+ W) I- W1 S% v* b! M If rec_num > receivnum Then
( k# g9 ]$ U0 p7 _* ]3 ]" e temp_i = i - 12 M$ e% t4 Y7 x- A8 O2 k
Exit For3 P1 Q( I+ x& M( J; E
End If, }0 X- L; Q- S' d8 h- L, Y
Next
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! j5 D* `1 J( X k += 17 J. K* M+ j8 h6 W( U
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
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4 E0 `' f' C& ~, ? Loop While (k < 5000 )
' S2 X; Z6 Y2 e! J! q xprevs = x
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Return best_x+ ^' @7 q, f- f2 ]! G
End Function
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End Class ' R0 B. ~4 S# A A+ J- ?3 i
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) r* \* @; w1 f" U6 {+ o算法测试: 3 f4 O" l9 j4 ]2 P+ U
在窗口中添加一个按钮 ' B% L" Q ?% R6 e
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
5 _) A; v8 \" z/ E) `9 F( a1 b Dim csa As CSA_Cnhup = New CSA_Cnhup- o8 o' q3 I/ s2 }' W
. [0 a- O6 m, L. K5 w( C. g Dim x1 As Double, x2 As Double
! L$ p% J3 w; Q W% R! L. U x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
8 O. S# v1 q1 w0 K. v9 _" R7 n' y x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")/ c( b# u, q7 e# N3 Y3 j& Z
Dim y As Double0 H5 m1 K8 M& U" s8 }
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y = csa.CSA(x1, x2)2 c' ~6 S6 I6 T% A# C8 y$ |' r: V
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")7 T9 _4 {, F B4 q# G& H' m4 F
Next1 p: W [ |1 V$ b& Y+ } r
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
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