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) {# i0 y. F9 i V; J
觉得有用的给个回复,拉拉人气..) S0 z. \* X) q+ T& W3 E0 i; ~
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Public Class CSA: [/ x0 s0 G# {3 u1 d- R& o
`$ t: |" z8 i! X2 T Public Function obFun(ByVal x As Double) As Double
* s3 M$ @ K% \+ n Return 2 * Math.Pow(x, 2) - x - 1
6 o3 g2 Y# b& S! J' _. ?& [' \, s End Function4 ]( W% }& d7 v$ m: m( j q
* y) [ ?8 o; w# X ''' <summary>& Q: x! k" F6 a+ v
''' 传统的模拟退火算法
1 x; T: E1 k* d ''' </summary>7 r, X, [: t# H5 L: G6 w4 z
''' <param name="Ux ">参数的取值范围上限</param>% ^7 Y; ~9 ?8 {9 G& W
''' <param name="Lx ">参数的取值范围下限</param>
- W* W3 N( _/ g' n- ] ''' <returns></returns>
$ Y( E( @" ^" B% M- N p ''' <remarks></remarks>2 S+ S+ R( S* d/ \
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
- m. u* _/ b! Q1 E3 j 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# k& F- A, W+ 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
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1 |. Z h3 D; l '初始化SA参数
6 g" ?8 x, N9 C9 _6 ?+ ]* X* N init_temperature = 0.01
. x8 a8 B" e/ q1 a total_numk = 1000
$ p1 v: q( h X' M$ s. F step_size = 0.001
7 D! {. W7 O* C; Z) t receivnum = 50' A5 e( l" X1 A, k+ V4 y- H
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x7 [8 b2 M, n6 I
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Dim k As Integer = 0 '温度下降次数控制变量" d- @5 @6 T6 V' p1 c1 ?6 U+ f5 X
Dim temperature_k As Double = init_temperature '定义第k次温度
" F" o; Q6 t8 y& d2 e! ` Dim best_x As Double0 o5 |+ \9 s: k
Dim de As Double = 0.06 _- V; G( `1 }8 D+ {$ d" v* P9 T G
Dim fcur As Double = 0.0
+ c% ?( N7 V# j% r2 Y6 ` T6 X1 b Dim xi As Double
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Dim fprevs As Double = obFun(x)
& A+ z$ A- k6 W9 g( x. K1 `2 t. b Dim xprevs As Double = x
- P3 E1 ^5 [8 T. w! s6 R+ F) @ 'SA算法核心/ K, k$ l& g: t, h4 H, P; l
Do
8 d& u# t4 ]# p3 O0 v# m v '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
" r7 g( P$ c0 M) l, v0 t& y( i3 \ Dim rec_num As Integer = 0 '接受次数计数器
4 g+ M- s3 B* q/ M- ~ Dim temp_i As Double = 0 '记录下面for循环的循环次数" _1 w6 q- C8 X0 u% i- \) p: @- j
Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk
/ y+ `# e- v* h2 I6 b '产生满足要求的下一个数' T* T) c$ [5 W, R
Do5 c7 B6 p2 x! h4 {% ]0 t
xi = x + (2 * Rnd() - 1) * step_size& u, Z( K @% N( Q6 j! P
Loop While (xi > Ux Or xi < Lx)+ ^* E1 O) M9 o6 m: H& r
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fcur = obFun(xi); s0 ?- r$ T" a8 w& Z. m
de = fcur - fprevs1 _! ~! B$ z4 |2 q4 ?$ n! Y, ?: A
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If de < 0 Then '函数值小的直接进入下次迭代
; b2 O# T! m4 R0 _8 ]( x best_x = xi! Q7 x: }6 O: r9 B; K
x = xi0 K3 ?$ ?6 O4 j9 Q
rec_num += 1
" w" P) K+ ?/ \) d temp_num += 1* m7 m6 y- C/ g4 A
fprevs = fcur
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Dim p As Double, r As Double# \0 E0 r; T2 S4 z1 P
p = Math.Exp(-de / temperature_k)0 u9 j& U H3 H& {7 K( h
r = Rnd()9 e. M, S0 u: ^7 V/ Q
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If p > r Then
0 P- K! P6 r0 F _3 k '以概率的形式接受使函数值变大的数- `! ]8 m; M3 n: x3 u- f1 T6 h% Q
x = xi5 q# x# q4 X! \) ]6 [
rec_num += 1
" Q6 f, s9 i% ^! r' c fprevs = fcur0 B4 s: \# K4 k% b3 u
End If- M" e( Y6 o8 C! p( ?
End If
: m. c# `+ ^, p9 \ If rec_num > receivnum Then
% {! ?% f# i% d# m& s5 `& I! y temp_i = i - 1
( G( O+ h# K& H9 I$ I: j Exit For
3 C" ?5 B! `- i End If
/ Z7 s, N4 [/ z8 _1 e Next
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( D. t# f) e8 V: v) f* G k += 1
& A/ O. Z" M0 E) q( Q7 q( D temperature_k = init_temperature / (k + 1) '温度下降原则, M. u- D6 y# W7 w9 C7 c
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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1 o V$ Y3 C, ~2 T* `) Q2 U" f5 e Loop While (k < 5000 )8 u+ {2 r) Q' Y4 K
xprevs = x
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Return best_x
. ~5 Z& ^+ n5 a" w End Function
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End Class
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/ H" v4 r+ D6 g1 ?1 |) a算法测试:
+ S( H5 K( J& ^. N4 M9 v在窗口中添加一个按钮 . X: f) F/ B3 |1 k; Z: p
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
/ y0 g4 F+ {( P# V# O! G1 n! Y! W2 t Dim csa As CSA_Cnhup = New CSA_Cnhup. v2 g! X& w }8 M8 k3 L* c' A7 e
" \* B% k- [) _6 w* e1 _$ o Dim x1 As Double, x2 As Double
& i0 `# T _% A7 e x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
1 r( n; [7 B, K7 E* {# o8 ?% N x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "). ~' J7 m* Z [6 i1 r# P
Dim y As Double E" W& R$ _% D( i4 f5 F
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For i As Integer = 0 To 19
1 m; |2 {: W) L& O) v; j6 M& X: X y = csa.CSA(x1, x2)
4 D) y. o9 f$ {/ B0 z Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
" s2 P7 q3 s; g0 ]' i2 s Next
" Y* L: Z- J/ C: b0 S: N Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
* \6 {& M1 m" Z; }" r9 s! jEnd Sub
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