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
# U6 U% t8 h# X觉得有用的给个回复,拉拉人气..
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6 r) M* k& e. D* cPublic Class CSA0 z, U7 C( Z d& s
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Public Function obFun(ByVal x As Double) As Double( l" I+ r8 u2 |9 ~, Q
Return 2 * Math.Pow(x, 2) - x - 17 {3 l7 g+ J% q& U
End Function
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''' <summary>9 c- w3 I8 p# `: {
''' 传统的模拟退火算法
6 K, w3 `# Y4 n' j$ I# L6 f ''' </summary>
8 w! I/ `9 \) x. `: [$ I1 ]3 S) {% Q ''' <param name="Ux ">参数的取值范围上限</param># Z4 _: X: T0 U+ w- \
''' <param name="Lx ">参数的取值范围下限</param>) w* l( s- h4 d! Q
''' <returns></returns>
# l* V6 D o( @1 s# C ^ ''' <remarks></remarks>
& ]% S" Q1 f7 s* q; A Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double. ?. \" S8 @) }1 v. Z( e
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
) Y& H! K. B( ^ 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. }) a( K7 A8 d* d: S
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'初始化SA参数
5 m4 D0 j) A) J9 }7 a) | init_temperature = 0.01
/ _8 N/ i( |0 }- C* V total_numk = 1000
@! D, A9 @" [! F4 E step_size = 0.001% u$ O! K# H6 x/ A2 U
receivnum = 50
) Y, c# x; e9 q+ l6 v' c x = (Lx - Ux) * Rnd() + Ux '随机产生变量x3 P( {2 C- {1 F* H' l7 j* J# e
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Dim k As Integer = 0 '温度下降次数控制变量$ `+ O3 ~5 Q [0 D
Dim temperature_k As Double = init_temperature '定义第k次温度
5 W3 V% D) x$ X Dim best_x As Double q6 }! ^& h# j. h7 V2 M% ?
Dim de As Double = 0.0: L% T" E' f4 T- D4 C
Dim fcur As Double = 0.0
$ G' I$ _2 R. t3 K6 m Dim xi As Double
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Dim fprevs As Double = obFun(x)( U2 h) d T# X6 w
Dim xprevs As Double = x
7 U; ^# w2 |" q: I) N9 X1 K 'SA算法核心! |- S! u( M3 X" P5 O$ Y
Do2 M- D, V# l$ X. }4 O
'xprevs = x '保留前一个变量值! h* p3 ?8 m( ~% y9 s7 y7 j" S* Z
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'以下三个参数用于估算接受概率8 p5 `# @8 x3 ]3 [/ B) I! j
Dim rec_num As Integer = 0 '接受次数计数器( |5 l/ }/ f) I+ K) p+ ^7 M" r
Dim temp_i As Double = 0 '记录下面for循环的循环次数2 C& q7 |2 g0 k$ b
Dim temp_num = 0 '记录fxi<fx的次数
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: r+ x/ ?) B8 w4 v For i As Integer = 1 To total_numk
7 s4 l! w0 j+ o) D '产生满足要求的下一个数9 |/ b4 b) o. _0 G
Do
5 ?* F% C+ r1 h) R xi = x + (2 * Rnd() - 1) * step_size5 S5 l' Z$ D! Z) P, F
Loop While (xi > Ux Or xi < Lx)8 J) q; O+ b( H# L( H. ~# }5 w' A8 `
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fcur = obFun(xi)
9 D7 D" ]8 }! F: Z' p9 G de = fcur - fprevs. y, Y5 ^- a5 w- x( w+ g8 @
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If de < 0 Then '函数值小的直接进入下次迭代
- m4 f/ g5 M; f/ }+ V! d: a best_x = xi
3 M/ v! q2 ~, @5 x4 C( { x = xi
* c2 V$ D; d0 _ `9 v/ I rec_num += 1! g: E( _; k2 E, i- L$ k
temp_num += 1* U+ b: B5 j# e Z1 l
fprevs = fcur+ \. d. z: r0 p# U
Else
- H* k7 _- t: Q9 A+ F2 s( w Dim p As Double, r As Double
: |' g% m3 J: H p = Math.Exp(-de / temperature_k)
: z3 w% \: F4 W. d! G! m; A" b r = Rnd()4 \. V3 d- c- u
C9 h h/ A6 r8 ?. W! l. A If p > r Then
: |5 g& s S+ E5 O" o0 A '以概率的形式接受使函数值变大的数
+ V3 B' E5 T7 A, ? x = xi
# a0 F8 N' |# N4 p$ i rec_num += 1
! u' Z5 H1 V3 d: ~% U3 x fprevs = fcur5 z% i- _3 H3 E
End If
, B2 K7 p$ C3 {; T( T; V' Z/ c, h3 ~ End If
' `7 m5 N8 c! |/ i! n& T! p( A If rec_num > receivnum Then% |2 ^* m: I- J$ l9 S
temp_i = i - 1- w' G. u9 r; M# K+ s6 L
Exit For3 @+ `: ~: ]3 H
End If' L) a( b- U' _- v
Next1 A2 b6 A, \' V( r1 G
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k += 16 ?% M3 }' k8 ]2 A1 m
temperature_k = init_temperature / (k + 1) '温度下降原则
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) Q3 F3 v' L0 n9 B" d! z& b If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )
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Return best_x e7 I" k. K" p! Y; K! v
End Function
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: V0 M' f. Z; e; W( AEnd Class
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算法测试:
( Y& k+ {& q! ^2 N4 J在窗口中添加一个按钮 : E* z; A. }; O2 j$ z$ A
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click7 L8 l$ {. W% ]) M' r4 Y( \
Dim csa As CSA_Cnhup = New CSA_Cnhup8 v3 b3 I- m9 H% L, p s
# z" q8 j9 C. E Dim x1 As Double, x2 As Double1 j) k+ `, s6 B: b% G4 ?8 e
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")3 K) h) u; l; I6 Q l/ R9 g, V
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "); ^- W, q% |% f) c' i2 {7 x
Dim y As Double& e k! v1 s+ @. n E
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For i As Integer = 0 To 19
+ r9 S) O9 N' f* m' D1 \: | y = csa.CSA(x1, x2): r, B0 |0 e r; m8 _
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
" Y9 q+ s. B; H) kEnd Sub + }5 E. `4 l! r& q- D
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