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. b, x9 Z+ c
觉得有用的给个回复,拉拉人气..8 n+ B5 ?% k6 _6 J: O& a% J+ E
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}- V5 O+ Z( ?' APublic Class CSA0 d" `: t! t3 Y2 l! t# v @7 s$ c* W
& m. |+ k8 e3 R1 \* M Public Function obFun(ByVal x As Double) As Double2 a! a: ?+ N% Z, n
Return 2 * Math.Pow(x, 2) - x - 1, v4 l9 k( A# m5 l$ q
End Function T. W5 e$ ~1 {) e0 d8 B
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''' <summary>
; I4 W9 l! Q) e6 z1 }" k ''' 传统的模拟退火算法
4 |% |& h) g6 q( Q) ~- N; k ''' </summary>
6 Z- T8 W% p. H1 G( J9 P ''' <param name="Ux ">参数的取值范围上限</param>- a- U- b# q4 o; c" s3 j) }: Z, L
''' <param name="Lx ">参数的取值范围下限</param>' B+ ` w9 b4 Y- y: N
''' <returns></returns>" q$ x! c2 B0 d. {$ g+ h
''' <remarks></remarks>: ?, w/ s3 R- L. J6 l) D
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double$ E2 C6 Z5 u, Z# x8 n F
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0 D, L2 q6 r* x# X+ d7 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- r4 ^( q' e6 A3 z
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'初始化SA参数2 D5 E7 p. w4 V i+ K a8 h* j2 _7 v
init_temperature = 0.01
, U! g8 p; l! l7 }6 Y! r- m7 A total_numk = 1000
- y8 d- K. d+ N* s4 {: f1 y step_size = 0.001
! k) p% l6 f/ _9 n receivnum = 50
* F; B. z9 |. B* H x = (Lx - Ux) * Rnd() + Ux '随机产生变量x, `! _3 B) P0 }; R% x/ u
, }- D( T! `5 L9 h) H8 q Dim k As Integer = 0 '温度下降次数控制变量- O4 ]0 e$ W% Q: B: ]
Dim temperature_k As Double = init_temperature '定义第k次温度, `0 F3 t/ Z" k6 _7 E
Dim best_x As Double
; `) I( k) o& k! [) a+ T* _ Dim de As Double = 0.0* P' O- k, F( a/ y8 ?
Dim fcur As Double = 0.0
- O% }* }6 F3 _ l, D5 @7 X Dim xi As Double
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( E6 q" `8 N# I: X$ M0 J9 [+ x8 d$ k Dim fprevs As Double = obFun(x). @# g# ~% Y; m
Dim xprevs As Double = x
F9 e3 V( T9 F1 _, A 'SA算法核心
) t% [- m5 d# G( v6 A; h Do
3 B7 u# H( U, z '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
# B. _% h: S7 B9 \2 w0 x Dim rec_num As Integer = 0 '接受次数计数器
+ {$ p; H( ^/ r9 A+ d4 C* J Dim temp_i As Double = 0 '记录下面for循环的循环次数2 b+ q) A9 _% n- W: n Q" B
Dim temp_num = 0 '记录fxi<fx的次数2 {% T; z0 `& h( }" h
0 i% O0 n4 t9 C" o6 i/ i6 H For i As Integer = 1 To total_numk
2 y- n( d1 }' w '产生满足要求的下一个数% g& x) Z& a: p2 f2 j% Q' p x
Do+ [: g, v; R0 E# {' q
xi = x + (2 * Rnd() - 1) * step_size) M5 N* F5 p! U/ q( X; P% ~
Loop While (xi > Ux Or xi < Lx)7 N L6 u$ V! [/ d) S( X
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fcur = obFun(xi)' u0 D0 r, ]$ k
de = fcur - fprevs
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: \$ o# X6 r+ t- C# _6 v3 L8 b If de < 0 Then '函数值小的直接进入下次迭代
/ w: {& p% M) i: Y) d L; D7 u6 L best_x = xi! d1 G8 A# G) m' Y
x = xi. A0 z5 E5 o9 U0 H
rec_num += 1
& n5 V/ U* m/ w+ A( b$ r# {- ~ temp_num += 1
: w% k7 @; ?( ^0 [5 \ fprevs = fcur
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Dim p As Double, r As Double
3 Y3 n& b2 \ W0 s! w8 V p = Math.Exp(-de / temperature_k)
, V# I; s* l/ a* l4 E r = Rnd()$ m `# o4 a# Z3 o
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If p > r Then
9 a1 t$ e& [' `8 K9 | '以概率的形式接受使函数值变大的数
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rec_num += 15 h6 A, k3 ~4 o9 K
fprevs = fcur
0 ^8 W- a- R" R% b) j T5 y End If' L. B/ h8 j! a6 h, u4 b, d! o6 R, Z
End If( N: o1 `5 A: M1 |. k" d" U
If rec_num > receivnum Then9 i2 m0 K# x( u& h
temp_i = i - 1' q. _( q0 z& A2 q* z$ Z
Exit For
- T3 s0 s7 D$ t& e3 f2 } End If
/ Y- g; I: X9 q( N1 d4 O' C0 v Next
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k += 1' R$ \; |/ }1 H8 v
temperature_k = init_temperature / (k + 1) '温度下降原则
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; ~4 ~: Y! B P. O& U) W If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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/ C# ~ h* r) Z* G Loop While (k < 5000 )4 Z5 [' |( [2 {
xprevs = x
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$ b3 p- N J3 T @, K" w9 _ Return best_x
8 M6 R3 O# s. b* t/ r' _- o End Function
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End Class
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算法测试:
# m0 f1 z5 P9 T4 \# f在窗口中添加一个按钮 5 [ n- e" h+ k1 I/ M4 [
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
. {) O1 v" T6 ?7 { Dim csa As CSA_Cnhup = New CSA_Cnhup
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/ ~ ~4 v% e& H Dim x1 As Double, x2 As Double/ P$ J8 g. e! Q. `- P
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
) C6 w0 X& ^# S8 I x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")
9 D' ^4 g$ o. ]( V7 s6 h) H Dim y As Double: T- d$ P* ?7 x. [: e0 F
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For i As Integer = 0 To 19
9 h5 g8 J% U8 z y = csa.CSA(x1, x2)- H) i8 I$ A1 K6 O0 k1 }5 s
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")' v$ r+ ]8 U: [3 \3 \( ^
Next0 i; k: m$ f# O. b' t: @
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)& w9 f' \8 z, @2 u" Z
End Sub : b7 ?, S8 E. r5 J0 _8 o
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