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 20053 f% \# R( h$ J( k/ P9 M; y
觉得有用的给个回复,拉拉人气..- B% V- }7 `9 ~6 u, ?
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Public Class CSA
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Public Function obFun(ByVal x As Double) As Double
, {( G( d) \/ X, |4 ` Return 2 * Math.Pow(x, 2) - x - 1
C6 B6 x' q8 S* R2 m End Function
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+ f$ |+ B+ d/ W. Q' q6 ~$ M ''' <summary>- }% M$ d9 L, W9 y" m
''' 传统的模拟退火算法
P! i2 E& a* p6 f/ ] ^8 J7 k( }( ~ ''' </summary>
6 }0 I: G* L! s5 y+ h ''' <param name="Ux ">参数的取值范围上限</param>
- m4 H. s# h! ^) C ''' <param name="Lx ">参数的取值范围下限</param>! K; \3 z0 v4 ~4 Q
''' <returns></returns>$ a* k' F: C. F, t* V7 W% v9 T
''' <remarks></remarks>1 u J/ W1 N/ Z( u1 s7 Y4 g2 L+ N
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double8 Z/ L2 n5 E# D3 T
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
1 [7 A* O4 @0 j4 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5 F/ j/ U) B+ @- K
; P! g- \/ y2 H0 t '初始化SA参数" i) M! `0 Z2 z) s
init_temperature = 0.01
- q8 i( _3 ?* G3 |5 S9 n/ k total_numk = 1000
4 f% ?& N9 W9 d1 r; ~ step_size = 0.001
2 i# M. d x0 U( y1 Q0 V# @, E receivnum = 50
- R- l' z$ m" ]- c: w x = (Lx - Ux) * Rnd() + Ux '随机产生变量x" w; M; L3 z; l: q. _+ X
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Dim k As Integer = 0 '温度下降次数控制变量) A x! J& [0 n! K) S/ @9 M
Dim temperature_k As Double = init_temperature '定义第k次温度
0 V7 V _' T- M0 A6 | Dim best_x As Double
2 W7 M9 f* G2 M2 v- u \+ ~ Dim de As Double = 0.0
" o7 Y! ~% b+ M; I" B Dim fcur As Double = 0.0) E2 n6 n+ Q8 H) G
Dim xi As Double3 A1 T- T8 i3 ?& W% B5 m
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Dim fprevs As Double = obFun(x)
5 r% Y6 _, e1 W- ^ Dim xprevs As Double = x
' W2 I l5 K4 i& ^9 k) o( _1 v+ t 'SA算法核心
: e; I8 ?: `5 e: `8 p Do
8 m/ [+ [7 Z1 b0 q& 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
2 i4 R8 _2 b6 ^0 h2 z Dim rec_num As Integer = 0 '接受次数计数器
1 P5 G1 Q# ~, S! }! h Dim temp_i As Double = 0 '记录下面for循环的循环次数
' \$ f" J6 s. [3 }& p Dim temp_num = 0 '记录fxi<fx的次数
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}+ \% B+ m# G) r' u) e For i As Integer = 1 To total_numk
% k. z, Z V8 Y6 u3 I- A '产生满足要求的下一个数
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xi = x + (2 * Rnd() - 1) * step_size8 b* T& m0 K7 T$ X
Loop While (xi > Ux Or xi < Lx)
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) `$ L3 X; k H, u6 X fcur = obFun(xi)
: W# X$ j+ L5 \/ ]. d% B- j de = fcur - fprevs7 u/ M( b$ ^' e9 n
8 F! M4 X* {& l If de < 0 Then '函数值小的直接进入下次迭代
& ~5 @! P7 H7 h best_x = xi
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rec_num += 1
# ^( B+ _3 q# c2 j3 X3 p- \) T temp_num += 14 M, |# L0 Z m% F3 D8 ?1 a. v
fprevs = fcur
9 W' J! f; @* ]8 H6 |$ m3 b" S Else
5 B; f% r ~7 O9 y: x3 q6 f Dim p As Double, r As Double
/ L" I8 Z' e ?( M p = Math.Exp(-de / temperature_k)
5 I/ A: J! g6 b( v2 p r = Rnd()# C+ b# l# h1 \$ @6 A* D; _4 H! D
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If p > r Then2 g" v; O# L; }# R9 M
'以概率的形式接受使函数值变大的数) f5 G- H7 O* }9 i, o1 K. k
x = xi" D3 a) Z' ]. t( W+ z8 b
rec_num += 1
) `/ n) v, _1 u" N0 u fprevs = fcur
7 x" P% a0 O, n* B7 c End If
, b7 ]1 Q2 x) s6 e; o2 ~" T- u2 P0 R/ L End If
) n, L1 |+ j2 l$ K$ Q9 j If rec_num > receivnum Then
4 v1 R/ A! X9 C( A& B+ y temp_i = i - 1% x% r6 R2 O5 h% ^7 x9 m
Exit For
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Next
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T" U M! i$ V% i k += 1* N; j% t6 o! }- L: m( Q3 [- D. J
temperature_k = init_temperature / (k + 1) '温度下降原则+ P; Q0 W& D6 x1 q
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )
2 d4 `0 ]# n- P( q | xprevs = x- W5 }# P' y" _9 D: U
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Return best_x
+ E7 s7 {! X5 P5 m e, i& ]5 }* e8 w End Function% {2 G5 p, Q' Y! {! N: c1 b, T
8 W. J9 h& f' iEnd Class
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算法测试: . h+ Z! A0 A' b9 W& s5 F$ z% M
在窗口中添加一个按钮
7 v6 T' C7 y, ^8 BPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click( g4 G; R% _0 R0 X. r/ {
Dim csa As CSA_Cnhup = New CSA_Cnhup
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Dim x1 As Double, x2 As Double
\! ^) ^- ]7 X! M' Y. Y& q x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")9 p4 [" \6 Z% m2 _6 h; D5 V
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")( \7 R( E% [: Y0 h/ ~1 P- I% @: ~
Dim y As Double, y! w' m4 T9 h* p
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For i As Integer = 0 To 193 R5 s0 v" Y8 r9 _8 B4 L
y = csa.CSA(x1, x2). g/ i% j: K9 ]1 E2 v1 ~/ }7 v# \
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
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Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
b6 b, ^& j5 g; l2 XEnd Sub
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