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
! q( t, U: k& P' u- S觉得有用的给个回复,拉拉人气..
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9 z4 ~& ^$ C1 E, y( ^- K) Y' j0 IPublic Class CSA. ~2 n( e1 m% m: v, I2 x
9 B+ x1 j$ V4 g2 C" | Public Function obFun(ByVal x As Double) As Double) T/ ?; T4 m; E5 x# S: y
Return 2 * Math.Pow(x, 2) - x - 1/ P/ ^6 r3 c; ^! @
End Function
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''' <summary>/ E8 s+ N( o( x$ Y- b
''' 传统的模拟退火算法7 J) Y6 l: K( N K0 g
''' </summary>
; J$ V9 ^2 x2 X8 V1 r ''' <param name="Ux ">参数的取值范围上限</param>% h. ]0 Z( S+ j* S6 i
''' <param name="Lx ">参数的取值范围下限</param>5 b7 C* Z+ G# o' S' F' Z- _
''' <returns></returns>
0 T: w; p4 t% J+ d/ `0 H/ w3 X, H ''' <remarks></remarks>
1 a( }/ w& `4 g- @ Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
/ f8 F" N( W$ `& m8 \ 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
1 J! _, c; T, ?5 X8 n% C( H7 R 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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! [) y* u# S/ x: g; l; k '初始化SA参数" B7 y9 p X; E* W! r- n6 l
init_temperature = 0.01
9 I, L: o8 I0 T& m total_numk = 1000* J3 b9 i3 x( r* t- C* z
step_size = 0.001
. n0 Z# l, M1 z6 R5 b receivnum = 50& [: O. n- y5 ]7 v9 a9 e( ?9 n
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x- |/ z/ H( G0 a
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Dim k As Integer = 0 '温度下降次数控制变量
R) g/ `: l0 \4 u2 a Dim temperature_k As Double = init_temperature '定义第k次温度
+ ^, x& C( [( ^8 k) e Dim best_x As Double% r- C+ Y4 B! h1 {% i
Dim de As Double = 0.0
5 N; c4 }8 R0 e Dim fcur As Double = 0.0
* A: d2 ?9 J& o# _ Dim xi As Double
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Dim fprevs As Double = obFun(x)
3 Q3 I& @5 a; z+ H Dim xprevs As Double = x9 l2 L$ |' l: d. }8 _1 D. |1 U
'SA算法核心
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9 l; A8 ^0 o3 O, x '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
5 q% F$ Q, N0 x. y& G Dim rec_num As Integer = 0 '接受次数计数器
1 f w5 j1 b1 ]8 g Dim temp_i As Double = 0 '记录下面for循环的循环次数3 R2 h# G1 g: f$ ^: K
Dim temp_num = 0 '记录fxi<fx的次数/ Q: s% S, t: C
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For i As Integer = 1 To total_numk3 C8 q1 n0 M6 B1 |( q" _
'产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size
0 B# w1 V9 `+ r Loop While (xi > Ux Or xi < Lx)
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4 t4 d2 T$ v& o3 v3 x% }' j fcur = obFun(xi); w! W8 s8 z9 B' @1 A
de = fcur - fprevs. T+ W+ N2 c, F- g7 W1 b
: z" ]& B" M- ]( W2 G If de < 0 Then '函数值小的直接进入下次迭代
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' ?- i4 E3 o) b( t x = xi- X1 j6 B. n9 _1 a. ?
rec_num += 13 z0 E' Y4 _. F. ] f
temp_num += 1
" j Z( F: b9 M& p: j fprevs = fcur
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Dim p As Double, r As Double
9 X. Z i( c0 W ]2 i8 m& g% v: H0 G; g p = Math.Exp(-de / temperature_k)
8 c3 Z, V& U4 A, Z r = Rnd()
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If p > r Then: F( o. j, [" R9 c4 a. f
'以概率的形式接受使函数值变大的数
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9 B7 L3 U8 h9 e rec_num += 1
: S* F& Z6 E6 `) \. e) E$ o: L3 X+ I fprevs = fcur
& M: Z! J' i$ J% P End If
# z3 ~& e' e/ ]$ A2 Z" q End If. A: K# w5 { N) z2 G1 X( M
If rec_num > receivnum Then
; T) ?( `0 j/ q' ] temp_i = i - 1
) T+ ~, X0 F. |# x; Q Exit For
! U/ O9 E) a* a) F" D End If) i/ ^& o" g: h" E2 ]
Next
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- O4 n4 F# ?3 V% d$ x k += 1
2 _9 k& [" Z% v1 z N5 M temperature_k = init_temperature / (k + 1) '温度下降原则
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: |, {, n4 T' N0 X If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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$ V4 ]! o: I7 O8 @ Loop While (k < 5000 )
' q) S% i1 s9 h {3 M# T xprevs = x
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Return best_x
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End Class
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3 l4 `% l8 V2 R& i& T$ C# \算法测试:
4 y/ s8 n/ i( d0 A3 e在窗口中添加一个按钮
2 ]0 ?' `" p" Q4 W% ZPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
: x+ d" J( s' x6 f5 X/ D4 `& ^ Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double2 E: i' E7 ]9 ~7 b) I
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
2 q$ q7 n g' G5 c. {, \% Q. p' i b x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
- n: \; r" T/ c Dim y As Double* w& H$ d, Q7 `* S) E x- J
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For i As Integer = 0 To 19
6 t. _' T% S8 W2 | y = csa.CSA(x1, x2)3 V6 ?5 [' l2 \4 ^
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)5 G( f* G! _4 ^. l9 {+ b
End Sub / W1 i& I _, n/ ~+ T; T+ M
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