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 20050 O% {; T9 X4 p" \
觉得有用的给个回复,拉拉人气..' }9 X" n9 q+ G1 Z% k6 W/ u
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Public Class CSA5 K6 O: ^4 G* m" k6 f5 V
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Public Function obFun(ByVal x As Double) As Double+ }8 M& w% i# x M5 H) |
Return 2 * Math.Pow(x, 2) - x - 13 q! B E4 Y5 @3 l6 k9 }0 a- [5 M
End Function! v5 x1 k6 F7 H- q7 q( n
7 g# r p0 @$ k+ H ''' <summary>
4 l7 H" Z. U8 ^; t9 P9 | ''' 传统的模拟退火算法
/ t7 N B6 V5 \ ''' </summary>. F# _, n$ U# N1 G0 t. [
''' <param name="Ux ">参数的取值范围上限</param>- q) z7 Z8 u7 k: E# r1 R# G
''' <param name="Lx ">参数的取值范围下限</param>3 b! K+ m9 O+ r# G- P
''' <returns></returns># J4 h3 ^& J, K$ z! c' [
''' <remarks></remarks>
2 \4 W' Q' B. U0 g, u1 a) ]: h- P Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double$ A; W4 N& D" b" d, k" M: o& @
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
# _: Z& ~6 y8 I( d2 F 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4 B) D- e( w& w; D0 t
2 O7 U, ^# H. i" p '初始化SA参数
+ z( t/ J; L5 ]0 I% t6 ^. q& _ init_temperature = 0.01
4 }5 E% H j2 T# g total_numk = 1000
2 [: m* S. X' Z2 P step_size = 0.001
* j+ F* a: V7 F9 X, p receivnum = 50
$ Q6 e4 b3 [' D' Y9 g x = (Lx - Ux) * Rnd() + Ux '随机产生变量x0 @) I, X" M0 C! o1 \
" W4 k7 | x0 f2 \4 o; t Dim k As Integer = 0 '温度下降次数控制变量
: e8 E/ J R$ E! H1 ?! S) j Dim temperature_k As Double = init_temperature '定义第k次温度
% }! y* R _% U6 V+ R Dim best_x As Double
! c/ y+ y! ~6 I p Dim de As Double = 0.0* s! k, ?# Y! Q# Y& X' r
Dim fcur As Double = 0.0
: |9 w& V8 r6 f3 H0 T Dim xi As Double
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* }0 H$ {, T) y' E! y Dim fprevs As Double = obFun(x)4 B. o/ M. k4 L5 }3 d
Dim xprevs As Double = x; t: ^& z2 m0 M/ ]6 @( D& V
'SA算法核心
$ C( P% U) `, V; C: j Do
& d+ S7 A" b! B7 H1 q* G 'xprevs = x '保留前一个变量值
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, Q w+ Z0 e$ u7 p '以下三个参数用于估算接受概率2 L$ O4 s- n4 B2 e" D
Dim rec_num As Integer = 0 '接受次数计数器
, j2 J! C* ?" c1 N) E Dim temp_i As Double = 0 '记录下面for循环的循环次数0 l4 {1 I% z+ l8 _# {6 `( [
Dim temp_num = 0 '记录fxi<fx的次数7 j+ o' e' ]4 t$ r: o
: Y: R) Z7 Y: r3 m* \: Y5 N For i As Integer = 1 To total_numk
9 k; S0 H" x3 f9 F' t8 }$ c '产生满足要求的下一个数
# Y* n; \# \4 \/ b" A4 Y Do& }. C1 m- l9 l$ @" k' l& l2 `; v/ ^' }) X
xi = x + (2 * Rnd() - 1) * step_size8 F/ J0 I1 |0 ]3 {' i
Loop While (xi > Ux Or xi < Lx)
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& q5 b- [0 F% t) e. | fcur = obFun(xi)
8 i& o' {+ G! o: p1 B; W de = fcur - fprevs0 c/ k' l& J9 S* g! U
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If de < 0 Then '函数值小的直接进入下次迭代: \, y# o6 C1 _& ]$ L
best_x = xi
; H4 N2 r, @# ]' U$ z; k x = xi
# m! j8 p6 b$ n rec_num += 1
& m8 W4 b: y2 ~- j4 M1 |- r% E temp_num += 1
* Q/ {3 G3 j) }5 i1 Q fprevs = fcur: X. l3 a; F. F: V0 x- M j
Else
4 Y: R- [, i% w Dim p As Double, r As Double
; B/ i# a' F7 p$ U% a p = Math.Exp(-de / temperature_k)
, l0 |0 A6 Y7 } r = Rnd()% Y8 |7 E) V, }: y+ I4 y
) d4 _( _, B/ _2 r: J4 c If p > r Then( C8 o( p0 p% }2 G
'以概率的形式接受使函数值变大的数' b5 Q% {" u, H) k" y
x = xi! E- Z8 A2 s5 a( c" P# l* R
rec_num += 1+ o+ F; u5 h6 J. @5 a
fprevs = fcur. c- {0 m0 m) e4 j* b! X+ B
End If+ A( R* z$ _+ N& G: u- c
End If- ^; W9 d/ m3 B' k% j
If rec_num > receivnum Then8 n9 L" T) M/ A2 J- j7 ^$ O- R
temp_i = i - 1
8 e6 u' R4 t6 \, N0 o. v Exit For, [; ~/ ] A7 ?$ ]1 `% b3 F5 z2 I
End If" S6 ?* c$ B. p9 c u
Next8 L. {7 Z+ U9 H; U) k$ H; r
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k += 1
9 {" J# B0 M' W% P) w4 F temperature_k = init_temperature / (k + 1) '温度下降原则( H' S: t3 k, c [4 H/ g: j2 ]) N
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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, t o: D N! q2 | Loop While (k < 5000 ); Q6 D( D% g. I
xprevs = x! l, Y2 d! o, V, F' B R e
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Return best_x
' x6 ~' P& j5 l1 a- s3 R' X% h End Function+ V- A( Q) |9 X
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End Class - J' R* u2 B9 ?8 S
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4 o1 c/ N! a+ g- F9 b- q% n' E算法测试: 1 J6 ^ |- N) Q: o
在窗口中添加一个按钮 ) x8 @+ l0 \7 L' `" a R
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click4 E4 E$ I/ m: H/ g: [+ n
Dim csa As CSA_Cnhup = New CSA_Cnhup5 G9 N5 M& v6 @
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Dim x1 As Double, x2 As Double
; t. d: u, f: k. Y: Q9 m x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")% _3 D: {/ r! F9 r' A
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "). \& a3 d M0 Z
Dim y As Double
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For i As Integer = 0 To 19
3 A( l. E; l+ `9 x$ h; Z y = csa.CSA(x1, x2)
* Z6 p+ s$ j' E0 w! m3 G Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")/ A, Q( I( z5 r+ \8 ~5 R T. ?
Next3 ~/ j) c% [5 k
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)9 }: ~5 x. H* v. J& J! p: {- B$ {
End Sub
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