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& z- I" X" D9 S( _3 v0 Q
觉得有用的给个回复,拉拉人气..
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+ B: F" }1 V# L0 S; g9 z( UPublic Class CSA
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5 e+ ?8 G% u1 p# P$ Z0 |- V9 |, j( U: e Public Function obFun(ByVal x As Double) As Double! K, d/ V1 o8 D6 k
Return 2 * Math.Pow(x, 2) - x - 1
2 n9 V3 r% O* h) w3 N! M* R End Function
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! X4 e E/ g2 }6 U) c ''' <summary>
& S0 K: u" O' B) b+ W ''' 传统的模拟退火算法
& d. I( _# x0 Z ''' </summary>& l$ i$ g( q. Z$ L- H2 j, b3 E
''' <param name="Ux ">参数的取值范围上限</param>
# W" W! s' }* h9 Q3 X ''' <param name="Lx ">参数的取值范围下限</param>$ F7 S, v2 ]; a
''' <returns></returns>' Q) O5 V/ C. ]6 V+ `. `
''' <remarks></remarks>5 _9 M; ?7 }$ @% P# ?% ]$ Z. d$ }- X
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
4 T- O2 }) S5 ^: o 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
! {) n n; Y" o5 J3 \ 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2 v* z6 T7 ?' {: D
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'初始化SA参数
( b6 S# g" _; G9 z7 T. Z init_temperature = 0.012 ?# c# R* Q3 V: i$ g
total_numk = 1000
& A; x! y) r1 G0 u- {/ o% G step_size = 0.0013 K$ z5 |) x/ |# e* e! A
receivnum = 50
8 j$ U) d7 X1 @ r x = (Lx - Ux) * Rnd() + Ux '随机产生变量x0 H- `0 k9 H' V; d6 E
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Dim k As Integer = 0 '温度下降次数控制变量
) E0 j7 p9 W$ k Dim temperature_k As Double = init_temperature '定义第k次温度3 Q$ `7 _7 g& R/ H5 m% l+ {$ }
Dim best_x As Double# {( d0 c+ S$ V$ u7 X$ H5 B
Dim de As Double = 0.0# Y) d9 I. Q4 e
Dim fcur As Double = 0.03 z# a1 ` m' t# D- _9 T
Dim xi As Double
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0 [4 M# c% r2 g Dim fprevs As Double = obFun(x)
) T( X# Z0 x8 Y. P- I: b2 g- o Dim xprevs As Double = x9 N9 c) o4 n3 D. i
'SA算法核心6 I. u7 k! e4 {; ?+ O
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'xprevs = x '保留前一个变量值; K, B1 |% f: G- n. M+ o
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'以下三个参数用于估算接受概率
, E7 h* v% }2 [; L" ?8 J Dim rec_num As Integer = 0 '接受次数计数器
a' i+ Q; K- s! F Dim temp_i As Double = 0 '记录下面for循环的循环次数! n7 D7 j* |2 h1 d
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk# j: p, C- ?4 O" Q( [+ d
'产生满足要求的下一个数4 J" p6 w# m* M W% Y7 Y% u6 _' g
Do
& l( o4 t$ k, n' B8 Z0 s xi = x + (2 * Rnd() - 1) * step_size
% F' d1 J! K; ~3 D Loop While (xi > Ux Or xi < Lx)8 U K, s5 _8 {' V5 x
. [9 k% }- n* o% {" p* ~ fcur = obFun(xi)
+ P8 a3 {& q. L4 C9 `- S de = fcur - fprevs% z2 I+ P. X7 H0 a# I- R9 M
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If de < 0 Then '函数值小的直接进入下次迭代1 \( n. _4 {3 }5 C
best_x = xi
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rec_num += 1: v) F! ~8 P" O. n4 B% H$ b
temp_num += 1
& m+ |; a7 G! h7 i fprevs = fcur# z; _5 L4 p2 s( Z
Else
8 g f8 u4 [4 W& d/ Q Dim p As Double, r As Double
* J+ o: ^ w1 W4 a. g: ~: y2 k2 C7 q p = Math.Exp(-de / temperature_k)
' O! D! r5 |4 l x. e* e7 Y( Z r = Rnd()
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If p > r Then
5 V" Z% B. b8 V d M2 X '以概率的形式接受使函数值变大的数8 V3 j) o: {+ M6 w0 P+ Y
x = xi
, E Z+ G( R- F$ d" ~/ z& { rec_num += 15 s$ t5 k; K& M# r, s' o& A$ J0 i
fprevs = fcur- Z7 ~4 |/ x3 z) o9 W! u
End If
' e) ?2 [- R0 L( B; I2 x End If, j5 l/ a' c1 Y+ y$ G% |6 q
If rec_num > receivnum Then
4 N7 N7 g8 R' t5 w' X* q4 {" I8 R temp_i = i - 12 C) o0 M9 j2 D) a* V- g1 J4 k& e
Exit For) w& ?, D: |4 g2 y8 m0 c
End If6 ^ v. V$ z% g
Next
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k += 19 M& w" t# x8 M# A, g3 }& `
temperature_k = init_temperature / (k + 1) '温度下降原则3 L9 t; M+ X) r1 D* j$ T: U8 H/ B
' n$ N: e( R$ R3 R If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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2 q4 a# x- ?/ q Loop While (k < 5000 )' W6 }9 r- u# n0 `* [
xprevs = x
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Return best_x
7 k# f, e: n7 c% \* Z1 o End Function0 Z1 N9 T5 }9 K- A5 H6 Z$ Z) [
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End Class * x% l7 ~/ l5 F% ~( R3 f! X
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算法测试:
. y; q. m9 x" `5 @! v在窗口中添加一个按钮 * Z: E8 P; R4 K
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
6 I( y3 I6 H6 ]1 M: J* O Dim csa As CSA_Cnhup = New CSA_Cnhup7 {- o7 q$ x r( ^
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Dim x1 As Double, x2 As Double
+ `4 N$ q( S- y, A0 |. s x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")7 |8 ]/ I0 n6 \( A3 F% T( z0 J
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")% I6 m7 \3 w! ]9 y5 A+ R1 O$ w( W7 ?( B
Dim y As Double
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+ P& @% O3 h- f For i As Integer = 0 To 19
4 E' |$ u! S% j8 B% T/ c y = csa.CSA(x1, x2)+ @4 {) ?9 [/ a' D( g a( O3 C+ N
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")7 W D6 o2 @0 X# ?. l& u- i8 g. t
Next
6 Y" L0 V A9 ~" V& v) J- q, M. D! Y! D Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
/ `* v7 y+ N8 x B- cEnd Sub ; ]/ K6 F5 |$ g0 v1 [6 u9 z
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