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 20053 h+ y; J' e- v2 S( R% C9 {
觉得有用的给个回复,拉拉人气..
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2 y! G6 f" ]& B( X' \. gPublic Class CSA
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Public Function obFun(ByVal x As Double) As Double
- }( r; A$ T6 x- f f- V' C+ x Return 2 * Math.Pow(x, 2) - x - 1% Q: S! N/ c0 }$ [/ Z- O
End Function2 A$ ]. A1 a6 S; K
' ~/ V2 @7 ]! V( X! j* Y ''' <summary># c) l# E d4 W- _) z6 F, ~9 ]. U5 ]
''' 传统的模拟退火算法# Y8 `% {% x y" _
''' </summary>, U6 K8 e$ M" Y- ~4 H
''' <param name="Ux ">参数的取值范围上限</param> e; l/ {. [ J6 M$ k& ]/ t3 B v
''' <param name="Lx ">参数的取值范围下限</param>
2 n s7 p6 c( F+ ]8 _ ''' <returns></returns>
6 Y3 c- o; P/ \* u g ''' <remarks></remarks>6 [! M8 f6 O8 h" a
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
) P+ [- t7 @) D9 K$ l& _# P! 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
- b" j+ u5 ~( n2 ^* j' n" i 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$ ]8 e; [6 f. m+ g8 N4 N1 j
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'初始化SA参数
: j9 x% i6 K1 \ i' b- Q init_temperature = 0.01" W4 b; F7 s% b& B
total_numk = 1000 Y; p; H) m9 t9 O& |+ ]
step_size = 0.001
: N" y9 k6 r- v& y0 o5 Y$ c' ^ receivnum = 500 Z$ o! Y1 A3 J! V d/ M8 Z: m
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2 U+ \1 `' l& ]" @
Dim temperature_k As Double = init_temperature '定义第k次温度
8 P+ @( `* s; `- ^! [ Dim best_x As Double
8 B/ F$ x2 ^4 c5 o Dim de As Double = 0.0+ u* {* Y" f1 @( Z# P$ x+ {. M
Dim fcur As Double = 0.0* n9 s0 G! B! r/ J% w' G
Dim xi As Double
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4 K/ q4 A( k, w: j0 c Dim fprevs As Double = obFun(x)
/ R% Q$ W' X! I6 B+ K, y+ ~0 S7 p( g Dim xprevs As Double = x2 |& v, m! ^5 H2 N9 @ M1 M. K0 l+ r
'SA算法核心
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$ n: o3 @0 E0 B' E 'xprevs = x '保留前一个变量值; q, R \% o! X
* ^1 E* V$ v' O, N '以下三个参数用于估算接受概率
: K. e @: e1 [* ]& ~" v) l Dim rec_num As Integer = 0 '接受次数计数器3 [5 b5 Q, y- k9 |2 ]9 F! J V
Dim temp_i As Double = 0 '记录下面for循环的循环次数$ M, F5 L: v) i9 Q7 W6 b
Dim temp_num = 0 '记录fxi<fx的次数
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; R( e: o6 d# U) B+ u For i As Integer = 1 To total_numk+ b. n9 z- q3 b6 G$ d
'产生满足要求的下一个数/ L0 u3 E5 g; b
Do& m) U9 ~( p: J4 c7 C9 \7 M
xi = x + (2 * Rnd() - 1) * step_size
* s) o/ I+ L) I8 q4 C% Y0 K* J Loop While (xi > Ux Or xi < Lx)
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+ C) G! L3 E9 u- F& Y1 k, o fcur = obFun(xi)% r5 P- N( E% @4 b6 ?" A$ F
de = fcur - fprevs' R3 p+ f/ m! r9 j
& [ [% { O: m( \ @ If de < 0 Then '函数值小的直接进入下次迭代$ R9 ]. c: T8 R g5 O6 h; v
best_x = xi
l1 M- y3 I1 i8 z! J& r- s; k x = xi+ g. p* m: h( Z
rec_num += 1
1 Z" d0 e8 r) p- q: w8 { temp_num += 1+ g4 J7 r6 L9 n: ]" X* B& h
fprevs = fcur9 j. r) t% }! {3 o
Else
/ x R7 H2 z6 H3 R Dim p As Double, r As Double
& K' a! {5 o: \( g. |" s p = Math.Exp(-de / temperature_k); P7 @5 Q$ k) a( Y# f
r = Rnd()5 b6 F3 F e# T2 M* M* S% n) A
/ }( y" N! m* v9 y( [ If p > r Then
7 u. ?1 ^& f. e$ n8 O, v8 o5 ? t% G '以概率的形式接受使函数值变大的数7 _! T/ t9 u$ v. P
x = xi
* t( ?4 ~. H# Y) e rec_num += 1/ u) T7 B6 J+ S
fprevs = fcur- \5 p: w. f f0 N0 ]
End If/ _. ^- d1 S; Y" ]. G
End If
! }- O1 O* m% b/ W, M% ]* y5 n If rec_num > receivnum Then
' r2 K9 @2 R. J temp_i = i - 1
' N# }3 p$ `1 L# H9 I: o# Y2 l& r Exit For
! ^7 M* J4 s+ K End If4 C6 Z/ U* Y2 J) s7 b$ L3 f
Next5 G9 q' D7 Q7 ^8 F/ I- F
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k += 1- |7 {# z8 x$ N9 t$ n
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# v7 x" H" ]. {$ m0 x
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Loop While (k < 5000 ) W& k7 A2 x" P. u
xprevs = x
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Return best_x( A& N" Y# Q6 x+ d5 E
End Function) {+ J4 B$ l( |0 P
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End Class & `+ @3 d2 R# {) A
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算法测试:
* n. u: k' @9 e$ v在窗口中添加一个按钮
5 J1 j1 T' Z2 W" O' uPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
\' g' ^" r+ I Dim csa As CSA_Cnhup = New CSA_Cnhup% ]4 W7 ^1 v* C) Z+ {# M& q$ t
% D) y: b5 F% B$ n/ x Dim x1 As Double, x2 As Double0 S! c5 t. d' { ] X, t+ Y+ ~
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
8 C' [& h+ c: O4 [1 E x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
, L& @6 b% |' p* E4 b0 a Dim y As Double/ v5 _% U/ Z. E u" r
% \, U" o! E/ a2 c; L; [ For i As Integer = 0 To 19
& M0 Z9 C; J9 S3 L1 b( i y = csa.CSA(x1, x2)
- R2 H' z; K& K" {+ N5 k& Q Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
! J% ~- x& `+ P4 @ Next
, _7 L+ r# f" Y; a0 S+ ]& l0 t Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)' v. {! a8 `; ~- ]5 G
End Sub 2 Y2 R2 Q+ [" m/ d# Z
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