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 G, R- r% v9 S! n d: N觉得有用的给个回复,拉拉人气..
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Public Class CSA( `+ W7 o H3 X$ [; I
) s/ ^# [! p, d/ h* p2 o4 P Public Function obFun(ByVal x As Double) As Double# n- X' |7 X, C) P+ G4 {5 B
Return 2 * Math.Pow(x, 2) - x - 19 `, @ J$ P2 K. `. w" T, j% X$ s# H
End Function( _; W1 W( f$ g" o
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''' <summary>" A7 e7 |8 j: ^9 S$ X% g
''' 传统的模拟退火算法( H& W/ A( t# x+ c& T) F0 j- |
''' </summary>
: o% l% Z5 f9 R. x r$ z ''' <param name="Ux ">参数的取值范围上限</param>9 H" l( E, X# e, p/ F- ?! z- j
''' <param name="Lx ">参数的取值范围下限</param>) o% e' G( b' `1 B, z
''' <returns></returns>' t) K+ a4 T: \. F8 Y; H5 u+ }: _
''' <remarks></remarks>
3 _+ ^+ V% o( p5 |9 ]$ P Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double. I4 k: U7 N% x) s9 U) ^2 u5 s9 C
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- ^- v$ F, t5 l$ D
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9 k) |9 J$ X: k0 _5 R1 l* Z5 S5 t
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'初始化SA参数
5 S d2 p+ z; N' L init_temperature = 0.01: P" O! v; S1 }" }6 x* v; n+ I" l. t$ I
total_numk = 1000
8 ]& G7 d3 ^( F8 l" i9 o0 m step_size = 0.001
& j8 e' A$ Y9 I7 t6 k1 Q) h! i receivnum = 50
' }# O' Q. y% J: p$ l: u9 t, H# _ x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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8 o j7 R& c. o3 f8 D K; I Dim k As Integer = 0 '温度下降次数控制变量
- o) x& z: ^! x0 }/ p Dim temperature_k As Double = init_temperature '定义第k次温度
2 u7 T% S5 m! F5 k& G Dim best_x As Double
. ^5 U- o, b, A9 n* N. C) m Dim de As Double = 0.0! j: s' G; M; k2 Z; S$ z! J
Dim fcur As Double = 0.0 U2 G! P2 x9 Q, t/ q; X: N5 A0 {
Dim xi As Double( ^- C$ f' r; u+ w) c) v* \+ ^
F, w, H1 {7 M Dim fprevs As Double = obFun(x)
) o2 w- r( U( D( g& b/ P7 j Dim xprevs As Double = x
. c, K; }4 G2 `7 l' n0 Q( b 'SA算法核心
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'xprevs = x '保留前一个变量值5 }* [1 }- |$ ^& O# e
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'以下三个参数用于估算接受概率
9 M. ~; i# V/ `5 w" a Dim rec_num As Integer = 0 '接受次数计数器
; J4 Z I9 a1 p3 N$ L4 X/ w Dim temp_i As Double = 0 '记录下面for循环的循环次数
) H5 ~7 O# F$ m9 `) @- T+ j Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk
9 w! F t5 ]: Y `3 E. S '产生满足要求的下一个数( N5 R- p8 k' m9 [! t, w2 v8 p G7 R4 P
Do
# V. {0 l7 L' K# a6 }0 m xi = x + (2 * Rnd() - 1) * step_size+ ]+ q, O* i7 Z0 G8 U D
Loop While (xi > Ux Or xi < Lx)( y- i! ~* A- r; @( h- A
* B% _2 N# ?& m fcur = obFun(xi)
/ p6 r1 K/ Y5 m8 p9 U de = fcur - fprevs
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If de < 0 Then '函数值小的直接进入下次迭代% f. S: Z/ q% M% R
best_x = xi" C; a2 C/ k1 s3 a
x = xi0 V# N* X: B; P4 b! T- n
rec_num += 1+ g) t$ j. I. F0 m/ t, ^& J
temp_num += 1% Z" F5 b. k; |6 L7 ]% H; r; I
fprevs = fcur# A- p( \) T8 e5 _" m! I
Else: M( l( U* c. {7 k- `# q3 M) ?, k
Dim p As Double, r As Double
- f( c' P" x+ T. {: w p = Math.Exp(-de / temperature_k)- u4 j7 }+ N! f9 N
r = Rnd()& Q4 s7 F6 |: q% e$ U6 I, c
; K! E6 J8 o8 ^ If p > r Then
6 [9 C0 n0 N, ?6 J) m '以概率的形式接受使函数值变大的数
; y2 O* ?5 O' h# v \ x = xi
+ A( D' O. h( f" f; {/ ^" ] rec_num += 13 x" b" z! T: W6 n( _2 R
fprevs = fcur
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End If/ [( c, u0 p- U
If rec_num > receivnum Then6 h4 C8 X* g' m, R; J3 _; n5 F; X
temp_i = i - 1
+ `: _# y0 E) A& b( ~" E2 Q8 g Exit For
! p0 h* C' | w$ p End If& z5 G/ ?$ T# L. Q3 u! U
Next- y/ [( y! ~7 u2 z: |
! F5 V1 ?& G/ w; E) i: S0 H k += 1
$ V% |1 |- U+ {; R( k- I+ L 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 Do8 Z: W! w3 U7 @ d/ ]
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Loop While (k < 5000 )1 c" I; l1 H# A" k9 b
xprevs = x
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. {$ {: Z5 g; e4 f- n$ B, [" ~ Return best_x
% @+ J& l/ R' p8 u) m$ p3 S* Z( } End Function
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End Class ) G8 F7 s0 w# [' F
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8 Y1 c3 B& Q, T# k; {0 Y" ~算法测试: ; d# n) O6 |7 o" A# D; I( \
在窗口中添加一个按钮 1 C5 a6 I1 c' q. L- |8 R0 j9 V
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click( M Q8 p6 g' G& s( ?
Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double
3 s* I; C4 l. P& Y0 V: P& X4 H: { x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " "). R+ C, \* t- [3 Q
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
( ]- Q7 I4 R9 j Dim y As Double
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! B1 c% Q$ Y- a6 j For i As Integer = 0 To 19$ V7 x# K$ d$ }9 q3 _
y = csa.CSA(x1, x2)
8 r/ N$ C- d7 K! f3 l Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
5 D8 t/ u; O A; f& W k9 u Next
6 R7 \4 A4 R% ?4 g! I Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
2 q) T( o! P* P8 ?" b' _( vEnd Sub 8 E' Q& x- `8 l' j
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