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
2 g6 x- n. H- {9 R0 U觉得有用的给个回复,拉拉人气..# q" {; z' u8 d
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# r+ C# k# I1 u: G# R+ {. IPublic Class CSA3 K0 `% i' E5 }& W6 E
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Public Function obFun(ByVal x As Double) As Double
$ ]8 n0 N* p" w0 H ]% a Return 2 * Math.Pow(x, 2) - x - 1
1 r; e2 N+ O) g End Function( x9 {# ]: d0 K$ L5 K
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''' <summary>3 z; l9 c5 @/ x
''' 传统的模拟退火算法7 x: y) k3 f9 T8 I8 m0 I: D5 ^
''' </summary>! t# H" g3 h+ a, G5 m9 y: D( a9 J
''' <param name="Ux ">参数的取值范围上限</param>
3 a c) e; z# y# [8 E ''' <param name="Lx ">参数的取值范围下限</param>
; m# H9 U% e0 [ ''' <returns></returns>
' e6 v# c: x; K5 G4 D% Z& p ''' <remarks></remarks>
. h; K3 I+ |) @* i, i Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double0 n' o$ b6 f. v& R& s; L& p
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4 L5 \; n6 M7 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
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0 a2 x9 a7 m' G4 ]" x '初始化SA参数5 k( g8 A e+ ?7 I, h9 J) ]
init_temperature = 0.01
+ A; B9 ?9 L" E- C7 j. ?3 d total_numk = 1000( B" t6 z1 F& Y6 b7 s5 c
step_size = 0.001
& K$ x* x8 a# @ receivnum = 501 @4 X9 r& [( R9 F
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3 ?! x8 J) K8 s0 S1 h }, t0 I k$ y) u
Dim temperature_k As Double = init_temperature '定义第k次温度- e4 b" E9 V5 ?2 `2 K1 I1 y
Dim best_x As Double
/ p% o/ g/ _& y, m' M1 Z7 y8 g | Dim de As Double = 0.0/ q% M% o8 R" |% h: n2 Q
Dim fcur As Double = 0.01 P( d0 K. M/ D/ C4 M8 v
Dim xi As Double
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" W6 {- {/ P5 ?2 M, b# F5 n L Dim fprevs As Double = obFun(x)0 ~! P! F+ C2 }, t, J, B- H
Dim xprevs As Double = x6 E3 V7 T4 T! D
'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
) g7 K0 d$ l* R* x9 G$ f+ e+ l Dim rec_num As Integer = 0 '接受次数计数器1 W8 @+ P% w+ Z8 R. H& w. ^
Dim temp_i As Double = 0 '记录下面for循环的循环次数" ~6 @9 U" s3 A# d% l0 T& r# U) H6 e
Dim temp_num = 0 '记录fxi<fx的次数1 ]( I b* g8 R' l! j
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For i As Integer = 1 To total_numk
1 |3 z6 X9 ^6 ?' D '产生满足要求的下一个数
% H# T* v I, g6 W6 t. g/ [ Do
3 o& P, g! i* a xi = x + (2 * Rnd() - 1) * step_size
# \5 q1 s3 a% `5 m! k Loop While (xi > Ux Or xi < Lx)% p1 A; Y) E U' x) u( X# @
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fcur = obFun(xi)' H; e- \9 j8 T- A0 o
de = fcur - fprevs, N$ ~% z6 r E
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If de < 0 Then '函数值小的直接进入下次迭代3 c, q* i! ?; |. z% J
best_x = xi. P( {1 }7 e0 u U& O
x = xi
7 S3 e3 q5 g8 {9 | rec_num += 1, v) l+ O2 P2 ^' l9 F
temp_num += 1
4 W' K1 N7 X3 c6 @/ w fprevs = fcur& g/ a. y& C! I- g# o% q9 L
Else
, |$ w. D/ L- B1 k- j+ J Dim p As Double, r As Double% _& c/ B& W# U' J. d6 y, x
p = Math.Exp(-de / temperature_k)
- Q) h$ a" k5 d r = Rnd()
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n3 i% H. D/ n) ^; J If p > r Then
2 i7 M& V0 R K '以概率的形式接受使函数值变大的数+ m& |7 j0 {2 K5 `; h2 A
x = xi
4 t( w* r3 O' D: y) l) B rec_num += 1
7 h1 s3 b) R/ Y9 C fprevs = fcur8 e6 F7 l: ?, {
End If
, @" @/ t/ D2 e End If
( U! X1 e- d4 N" Q8 d) H( A6 J If rec_num > receivnum Then
9 n/ `1 J- V- Z1 \! B temp_i = i - 1 ~! }: f; ^% P- U" I0 b, |8 Y
Exit For/ z9 K! J6 T7 f' @" _+ W
End If
& _+ U. w1 D }" O3 T9 B Next
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k += 1
$ N+ O `, w" S* v9 w 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 Do9 e: ]* ^' W, b& R
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Loop While (k < 5000 )6 ^6 P/ J ?7 Q7 {3 A8 S7 J
xprevs = x
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2 H! ~* A1 g7 k; ^( y" k5 q: h Return best_x
6 }8 C2 x% x' V A2 E% q3 u End Function
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End Class 5 K$ r8 W$ ]2 X; r! R( D( ]
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算法测试: 2 O1 W/ V- n( F$ U/ J
在窗口中添加一个按钮
8 U8 [* L& V8 A: G: jPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
6 \; z, i' b5 X& m& w Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double
% m" o: x/ D; u8 h x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
7 I3 n0 j. i/ W- I& g. b; J( ` x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
$ V3 A1 y) ?. J Dim y As Double) S. W$ ?& |3 W. ~
! T9 o9 A W% b0 N8 k- `+ z+ O For i As Integer = 0 To 19
; @0 u+ Z* c: _5 I" _ y = csa.CSA(x1, x2)5 {& {% r, Q9 O8 c$ i/ O0 |
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")! b. J" r! B+ j- p- {% \8 x
Next
7 e" Z% W4 M! `: K! ~9 V0 i; d Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
8 I8 P5 c" J9 kEnd Sub . a4 y$ y0 m/ P
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