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
+ e: p$ k6 r0 I/ k觉得有用的给个回复,拉拉人气..
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Public Class CSA) `. v- m4 }$ E- s' f
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Public Function obFun(ByVal x As Double) As Double
P, @8 P+ Y. @* J* l2 j Return 2 * Math.Pow(x, 2) - x - 1& b# l9 G7 e3 j
End Function
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* O' t k. g( j. Q ''' <summary>; n7 H2 j4 c1 _' C7 ~& r
''' 传统的模拟退火算法% y! y4 `2 p# G* m* d/ t8 D
''' </summary>" H7 z* T( t' P* h: H6 Y
''' <param name="Ux ">参数的取值范围上限</param>
$ J. B# H1 x8 a" _! A ''' <param name="Lx ">参数的取值范围下限</param>
$ z% Q1 e9 j3 g+ f: ~2 \% ] ''' <returns></returns># d* J4 E" ^) d" x0 K6 U% p# e: h
''' <remarks></remarks>. r7 V' z) W2 U* O) i! T6 [* f. y& S
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double' C+ @4 B5 \6 l" Z# C2 ?/ r$ Y
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
" p- y) A8 e; D8 a% 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! Z5 j; M9 m: i: G4 w# K+ z* u
( a7 t) ]$ p8 G- M '初始化SA参数& y6 U; \9 \6 X, O' M8 s" p
init_temperature = 0.01
1 p& Y. S* K' A" Z2 ] total_numk = 1000
) ^$ ^8 C4 s7 @ step_size = 0.0012 W H" \0 x' z) K. R& K
receivnum = 50
# b D. Y5 {' g8 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' Z. c" w7 _# J+ B
Dim temperature_k As Double = init_temperature '定义第k次温度
8 `/ m/ g, P. U* n Dim best_x As Double4 @, r7 B1 R0 L) s9 q
Dim de As Double = 0.0
3 e+ m1 Q, d R7 c/ h Dim fcur As Double = 0.0: ?" ~# n2 t, u0 R- K& l& L
Dim xi As Double
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% F6 M6 T5 u3 D- e. q5 W! O Dim fprevs As Double = obFun(x)
V$ c/ J9 M/ t5 K% w3 } Dim xprevs As Double = x
- R$ j2 }( u( ]+ m 'SA算法核心% C/ x: K5 u8 d+ h
Do! K" x1 c7 o. V3 C: d5 _# @
'xprevs = x '保留前一个变量值( f8 J { A3 x" X
* F7 B( }' R. u8 [# p '以下三个参数用于估算接受概率
# d! g6 [6 S4 z4 A/ d Dim rec_num As Integer = 0 '接受次数计数器$ [) |, [+ s2 c; a: _2 D
Dim temp_i As Double = 0 '记录下面for循环的循环次数3 f7 H0 r7 s. \: O, P7 z
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk8 n! @' X- N2 ?8 V9 p
'产生满足要求的下一个数" c; D* U$ p; U- n( G5 A+ n1 M. ^8 P
Do
" P2 m7 w4 B" e- w xi = x + (2 * Rnd() - 1) * step_size/ j. ]9 r4 s3 C- C6 G
Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)
/ E' z3 [ v& d7 G de = fcur - fprevs3 x( o7 }4 X) S4 e) i
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If de < 0 Then '函数值小的直接进入下次迭代) a# ?3 G; |4 ^2 ^
best_x = xi
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0 p) q' K* `. |) X6 F% D rec_num += 11 w4 v. P2 _9 Z1 H
temp_num += 1
" Z$ k9 w% M" w. s1 H fprevs = fcur
$ Z( k6 N4 @5 ]9 k Else
; H2 Y" B4 o/ k' f Dim p As Double, r As Double
9 i6 X+ L$ {7 z; O& e p = Math.Exp(-de / temperature_k)
! v" V) a. D" e, B9 D4 n+ y* g" F r = Rnd()
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! D; @" X9 X2 e4 q9 P If p > r Then
+ d- \' L$ j8 w9 x, ` '以概率的形式接受使函数值变大的数
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rec_num += 17 e, m @0 h& s$ D9 _7 e- q
fprevs = fcur
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End If
' ?8 v; } G7 p- j& U q If rec_num > receivnum Then. k$ x( `; ^9 _& z/ }
temp_i = i - 18 U; y; H) R( i! J' Q6 O3 U) p
Exit For
+ Y: x ^2 B! N" a End If
3 y5 W( ? |2 o0 k# _' ] Next
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k += 1
6 j E1 Q5 w) _. R$ N* V temperature_k = init_temperature / (k + 1) '温度下降原则. l! g3 @& ?3 e% Q
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do; `2 m2 [& x0 [7 A
' z- b4 e' e: G; n0 }. K3 e6 B Loop While (k < 5000 )
1 {0 g) G* F9 g& R$ z( U xprevs = x9 d" l, o, _% x+ q$ D/ A& S
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Return best_x3 e- G9 o" X, o6 h
End Function
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: h4 x# u8 x+ l3 m5 @: V0 \. W. jEnd Class 0 X( g; S& V# g1 c; B$ B
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! O% ]* \, L$ k* `. u算法测试: ! k7 i' H% ]; F6 b9 p
在窗口中添加一个按钮
) V3 @6 G: Z, E- YPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click8 x d8 ?7 Q2 S7 N
Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double
' I* ?- W; y9 h/ \ x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")- _* W) M8 R4 [! m/ E- W
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
! D' }* B1 `! _! {9 F% l) ~! B/ R Dim y As Double5 @6 N. N! G3 N: i. |' H$ F- ?3 W
* i) E0 L% `& u" p- N5 k( | For i As Integer = 0 To 19
, c# Z0 e* _0 m y = csa.CSA(x1, x2)
4 }( `& f2 t6 \* q Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")9 T* ?5 v& E5 o5 S0 ~, m6 E+ ?
Next
0 s4 l I. J: d: D% h Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)! a6 Z6 x+ w- p/ ^2 J2 N3 c' y
End Sub " c3 }- _/ M+ d) O: \ {
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