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
2 O) T; k9 X. ?% B$ b觉得有用的给个回复,拉拉人气..
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2 G5 s% k0 u$ G. `- S: qPublic Class CSA
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' j: T2 B1 h6 s! o! |$ c Public Function obFun(ByVal x As Double) As Double
+ ` B2 Z2 Y, _ Return 2 * Math.Pow(x, 2) - x - 11 \* i U" d' Q+ `8 B4 ?5 A
End Function
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''' <summary>8 I& \7 A+ k, V% [. w( A. ^* S
''' 传统的模拟退火算法
8 S+ I. ~6 s% P( a! m4 l: x: Y ''' </summary>4 I! z1 ?3 C; s1 D* Y9 c$ X
''' <param name="Ux ">参数的取值范围上限</param>. {5 q- T* ` z! {/ V
''' <param name="Lx ">参数的取值范围下限</param>
* G# j: p) E9 N' Y ''' <returns></returns>
- p! D6 q% o; B ''' <remarks></remarks>! Y X0 Z3 {$ h/ C1 ^, G
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
9 Y: c+ G9 f5 K/ }- t4 N 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
2 E: u( K) \. \9 y/ ]' Y; p8 k 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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'初始化SA参数
, |. S+ ]4 i3 X init_temperature = 0.01
" D' L- Z: ]' h4 G" t total_numk = 1000# S( o0 k- V4 l4 N/ f' Q0 u( ~/ r
step_size = 0.001
% v6 f8 E9 h& p" v# _ receivnum = 500 Z! m7 c+ x7 D5 r. D8 y
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x B! e- O4 h( I- o4 s( X
2 x0 \; [$ S% w+ ~4 U: f Dim k As Integer = 0 '温度下降次数控制变量
# M# K0 {1 L5 m# F. Y, }8 X% ]9 e Dim temperature_k As Double = init_temperature '定义第k次温度
: p5 e3 q1 w- j) s1 e1 Q% ? R* T Dim best_x As Double/ k4 p# |$ }0 P: p N; ^3 y3 m
Dim de As Double = 0.0
; r+ _3 B! d1 {% f3 l: F0 M Dim fcur As Double = 0.03 g% t: s* }- x' t) ~7 u( z% w
Dim xi As Double7 d# O9 i: ^$ ]: `
" {: B( B) M7 {- n& s$ P( c Dim fprevs As Double = obFun(x)
@. l; `9 I+ X! C Dim xprevs As Double = x+ [6 k$ _$ S: k! {* ]: V
'SA算法核心
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0 ^ e% t9 |8 ~' J# [ 'xprevs = x '保留前一个变量值/ m0 `2 r, @! z6 \9 ?# L. L
* I* I; C6 N w) o3 K, Z+ { '以下三个参数用于估算接受概率- E# a7 u0 _$ t9 q
Dim rec_num As Integer = 0 '接受次数计数器1 b! h% ? Q) @6 u0 @9 z
Dim temp_i As Double = 0 '记录下面for循环的循环次数! w# y9 A+ U$ {( j7 H+ w) U3 c
Dim temp_num = 0 '记录fxi<fx的次数
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1 |6 X4 @( {6 Q9 e0 l) X/ b; x+ Y. t For i As Integer = 1 To total_numk# _: w% B( z& J
'产生满足要求的下一个数/ ^0 |/ G$ K1 v, r
Do4 N$ ]) g* D: Y. {' G/ k
xi = x + (2 * Rnd() - 1) * step_size5 V; @7 q$ D. O
Loop While (xi > Ux Or xi < Lx)
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fcur = obFun(xi)
+ c7 L, ~0 a4 B% J9 S6 D2 s7 G9 g de = fcur - fprevs$ `. n% s1 L, A3 v
" P3 A7 y: Z' Q5 K' [7 U& V If de < 0 Then '函数值小的直接进入下次迭代
# W2 k; j4 H. w! [1 Y2 A+ O; ~6 E( P" P& | best_x = xi
+ I9 B5 p* e* Z! g. `0 [ x = xi5 i6 O2 M4 E# u( M9 \
rec_num += 1; V& A8 f, ^. f4 n
temp_num += 15 b8 c9 O& w0 `& ~6 o7 w1 p+ c
fprevs = fcur
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Dim p As Double, r As Double
8 P4 |( O M$ v# d! Z p = Math.Exp(-de / temperature_k)$ `) O, W- }/ W1 C9 L0 W$ p- k
r = Rnd()9 J! ]6 L& r7 V$ B2 R; }
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If p > r Then# N1 v3 c, Q$ J: n6 d2 c
'以概率的形式接受使函数值变大的数
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( X5 ]5 }: I; A rec_num += 1
: |6 x' q2 a- u) D fprevs = fcur- p. ~# e1 x( Z, j- d. k& U
End If
2 D# V2 J1 }, m, b. x/ s End If
. B/ a3 N! }1 u! F1 [( ^ If rec_num > receivnum Then% b$ G9 Y8 w( B
temp_i = i - 1
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End If
2 H l! b$ e# \5 Y+ a+ K# ~; V Next
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k += 1$ m7 x' p) y% Q1 b7 P
temperature_k = init_temperature / (k + 1) '温度下降原则
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. z8 _, w; t: e5 s! {$ F 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
0 _- s3 m# l+ N4 R7 U: \. X; U End Function! E; X8 Q& J) V" \) ^- g" {
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End Class # M- c( s1 N9 F5 e: P
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算法测试:
% D0 ~ n4 l( G在窗口中添加一个按钮
; d4 Y$ i4 N3 ~/ b# yPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click U) E* W4 N }2 e) `/ W! v
Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double
& t6 k/ s' y R x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
6 w! h1 q( j8 k# B- R" K x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")2 a! P$ z6 q$ I) S0 ]3 V
Dim y As Double
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& D% Z: a! _9 x7 y/ ]7 V For i As Integer = 0 To 19
; U5 j( V4 R% j& ?% b y = csa.CSA(x1, x2)
5 G P; `$ U, s5 N. j0 a v Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")8 ]& n( i) M w$ t- D! T
Next! n& _8 K* c* I/ o& r# {
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
+ I4 F/ i* U4 P+ M+ l! p0 `End Sub
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