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 b4 j( }5 B' E; s3 m
觉得有用的给个回复,拉拉人气..! q( U m# G) k. p- F6 ^+ m y
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Public Class CSA$ q$ v/ v, v" a6 U
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Public Function obFun(ByVal x As Double) As Double
S7 e7 N2 ^+ ^, f; j& E Return 2 * Math.Pow(x, 2) - x - 19 J, s D7 u0 E6 U6 U
End Function( Y- |4 w* c3 I
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''' <summary>
9 p" w, H# A% z( a1 R! t ''' 传统的模拟退火算法' p; ?9 D1 o# Q1 y. p2 X2 z3 D1 T
''' </summary>
) I' n; y# Z$ u4 m3 l) G ''' <param name="Ux ">参数的取值范围上限</param>
. F6 g$ t" \# S: l# V1 T ''' <param name="Lx ">参数的取值范围下限</param>! V n. j4 i. v
''' <returns></returns>
% [2 A( B7 L1 x; | ''' <remarks></remarks>4 ?/ R, ]9 y7 B6 ]( v5 t- t2 M
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
4 Z# p) R4 i, }1 d2 b- o1 L) { 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: [# u$ S h7 q, m" h/ F- e
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0 V* Z3 N, ~. e; V1 d! j6 b; A
' y B, s0 `1 b& B6 G '初始化SA参数# j! H- Z0 n. _3 x
init_temperature = 0.01 P2 X, h- S, f: `
total_numk = 1000
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receivnum = 50
$ Q- [+ x3 x- e- B8 w& Z 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
m7 S$ n* M! j6 { Dim temperature_k As Double = init_temperature '定义第k次温度
, `1 \7 k7 j* w' V4 M: D Dim best_x As Double; T) j6 l+ r1 O# \1 ?: D! T
Dim de As Double = 0.00 V. I2 b8 u/ P
Dim fcur As Double = 0.05 }6 P5 n6 @# o! ?+ h
Dim xi As Double C* U. @. {8 |5 ]5 b/ q
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Dim fprevs As Double = obFun(x)
6 W! h' y6 l- _ Dim xprevs As Double = x
' w- ]0 s o* i: D 'SA算法核心
- l, c$ B/ U" P$ c5 \ Do
) B9 f# U3 `; y3 u8 V$ j 'xprevs = x '保留前一个变量值1 [# ?/ O `: ?" h; T
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'以下三个参数用于估算接受概率( U$ o. E9 O: W! h5 D& `- N- t
Dim rec_num As Integer = 0 '接受次数计数器
7 `7 ~+ k; _! v% K' c/ R: } Dim temp_i As Double = 0 '记录下面for循环的循环次数
% ?+ o) X( I6 w, q. W3 I @$ c Dim temp_num = 0 '记录fxi<fx的次数+ B1 {+ S4 U# X
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For i As Integer = 1 To total_numk9 |; x1 p, e; {$ D5 ~% B1 h
'产生满足要求的下一个数5 x9 P2 x; `6 E
Do9 V( A6 a" \1 t; ?& x7 k3 t) N4 ]
xi = x + (2 * Rnd() - 1) * step_size8 X0 `" H$ V/ u" F0 K7 ~
Loop While (xi > Ux Or xi < Lx)- q2 `5 p# P- b* E! Z
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fcur = obFun(xi); ?5 L9 u& b3 S( K7 _
de = fcur - fprevs7 `+ T$ p$ M7 a3 g: K
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If de < 0 Then '函数值小的直接进入下次迭代# e3 z O4 |' t$ }" `9 h3 A+ g
best_x = xi
, @6 O1 e" A9 t$ ~; N x = xi
2 B$ I( l- W2 Z, V rec_num += 1
: ~, u4 E8 K4 _/ J: B1 \ temp_num += 1/ k5 ~* i& l; k8 J* O1 B: j
fprevs = fcur
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- n& t1 e2 T9 q* ^ Dim p As Double, r As Double1 D: o9 s% f% a! A) T3 I
p = Math.Exp(-de / temperature_k)
" F! Y! }9 d) ^( R r = Rnd()
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" Y& W* v- w1 J: F. F. ] If p > r Then
: a9 d/ ?* I5 D/ c/ _3 Z! ]+ Q '以概率的形式接受使函数值变大的数
6 V5 V2 `4 R) @9 P& O. Z$ I: U, S x = xi
/ E( y. p7 h6 N; {* W rec_num += 1
6 T+ `% C7 z+ k; \. W fprevs = fcur4 t. J" F. b/ e+ s. F
End If2 Q) w7 S6 G5 k% d
End If* \4 ]0 e3 g6 l7 r1 d
If rec_num > receivnum Then
' r! {& C4 F& O temp_i = i - 19 V& g2 `: p2 J( [; D4 |' w
Exit For) e4 N; w8 f4 B, [
End If0 X- s! ]# r0 [3 p: B" D
Next
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k += 1
, J% ^2 x: w6 D3 D0 s' B- }& ? temperature_k = init_temperature / (k + 1) '温度下降原则
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, A! I t6 ~! G9 ^ If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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! h O$ Z! a8 k; l) n F& g Loop While (k < 5000 )
2 ~" B: y" w$ Z# v xprevs = x
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Return best_x" J2 {3 }, |" c* u1 t3 |
End Function" J% V# ^6 n, o
( K5 U! h$ L) t4 b' [& \End Class
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/ B. ^6 x3 Q4 w: @算法测试: Z# e: {" D7 X% _1 _ p
在窗口中添加一个按钮 : }4 d! m. P7 R7 a5 V' p4 B
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
/ }& E' N- i' p! d, @6 \; O Dim csa As CSA_Cnhup = New CSA_Cnhup- q: Y* C2 a0 ]+ p/ H5 S
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Dim x1 As Double, x2 As Double
# T' D+ p2 A" C! D y2 F x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")5 a/ m5 \4 y! h& m Q! e
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")$ b' }+ J6 N9 ?
Dim y As Double
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For i As Integer = 0 To 19
+ [6 G7 I% Z* r( N9 S y = csa.CSA(x1, x2)+ D8 ^- r. D$ D2 N! Z8 u* U6 J
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)2 M5 g9 {5 Z* h# [# @9 Q
End Sub / ]0 E! p0 {$ A( v: f- G9 v
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