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
& G( N, H4 D+ J) \: j, `觉得有用的给个回复,拉拉人气..
3 D" V0 [- a% j* I1 A1 P2 X6 _( N, q
/ {+ D/ b, z e$ @5 ]. V n9 Q# _; x0 R8 c$ X$ O+ }
Public Class CSA
( e" ]( i" A! N! Z& O9 @& S8 y) \ d8 ^. B4 j- W0 k9 s
Public Function obFun(ByVal x As Double) As Double
3 l f3 M: s/ m. K2 G1 q1 ~ Return 2 * Math.Pow(x, 2) - x - 1
7 V' i/ A4 {! [( R End Function
: z# [7 T6 r) \5 v1 s+ I* {& C2 z! K. `" [2 ^* c1 ~: Q2 d
''' <summary>5 A0 R4 D/ w" P( P! W9 z0 [+ b) H. ]
''' 传统的模拟退火算法
8 h q3 K6 E: _8 w. [( i ''' </summary>/ d% j$ o3 F3 Z8 R1 C# ]
''' <param name="Ux ">参数的取值范围上限</param>
# z: I2 u5 D' C5 X. v3 s( k# h$ J$ q ''' <param name="Lx ">参数的取值范围下限</param>
6 f$ r" ]/ w8 y" X- f# s9 K ''' <returns></returns>
8 V8 @8 X/ @, W5 S ''' <remarks></remarks>% m3 m& P3 p, y4 U' c
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double- F X) V9 N) j! m, x$ F1 {) ~
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
/ G$ ]# A2 i9 X! H 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- l' a9 A/ m$ ^5 x
) I- E8 c, x4 F$ [: M$ U* `: s! { '初始化SA参数
. A/ B# Q: Y5 G% u+ T init_temperature = 0.01$ c* y3 N( p. s* w2 _! `5 l
total_numk = 1000% H) s1 S. s0 L& c( W# a4 e2 J n
step_size = 0.001
" r9 ~' I" e* s& \ receivnum = 50
z0 _5 g) I" Y# O! D4 i7 L x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
7 u/ X# o$ w/ c" s
# i. j3 `6 d! V4 w Dim k As Integer = 0 '温度下降次数控制变量
* O( t& N" k8 O$ m @ Dim temperature_k As Double = init_temperature '定义第k次温度5 r2 t v" n3 i2 i, a
Dim best_x As Double
. |* c% b/ E" b! `! k0 `9 ~ Dim de As Double = 0.03 X7 z% }0 A1 C2 e. h
Dim fcur As Double = 0.0' J( f% Y* A$ Q* X* h7 G( N7 S
Dim xi As Double1 i1 Q, O8 e) S. K
# S4 ?. y7 {1 }( x3 s' ` Dim fprevs As Double = obFun(x)4 G* `/ n/ D5 b/ v* E
Dim xprevs As Double = x
: i% D f* g; D5 I3 o. u 'SA算法核心! u! K" F! p6 }' D8 [' k# h( \
Do
V1 C1 U4 d) C 'xprevs = x '保留前一个变量值5 w. U8 ]7 g! @6 y f
% a1 V, X( b4 x1 C8 q* U '以下三个参数用于估算接受概率6 y" `' n& F8 d3 x- P) I. M- }
Dim rec_num As Integer = 0 '接受次数计数器, t) R8 E1 \" g; S! g2 D
Dim temp_i As Double = 0 '记录下面for循环的循环次数) Q( h7 q, h. B0 `- U
Dim temp_num = 0 '记录fxi<fx的次数! A X6 j. a' I
4 E3 P4 k" l9 {1 ?" l
For i As Integer = 1 To total_numk! t n& A% E9 n( N9 R, P `
'产生满足要求的下一个数
' [% Y9 I: o/ }9 ~ Do; Y, w% h7 N( F0 U$ k# m/ [
xi = x + (2 * Rnd() - 1) * step_size1 h* O3 ]9 x @! s) I
Loop While (xi > Ux Or xi < Lx)) C) Q( Z. V# V- y
2 A+ q9 {- c$ A0 Z9 M
fcur = obFun(xi)
' Z0 I2 `- n9 g& \5 I3 Y f) G2 k! [ de = fcur - fprevs) @2 V& x7 L3 t
$ M! |8 E& B3 ~
If de < 0 Then '函数值小的直接进入下次迭代% S& d+ j, L! ]! y4 v% }
best_x = xi
) S$ R. D% ]6 R: N x = xi2 k q+ U0 N' n6 r) k' Q
rec_num += 1# L+ N; ^9 j' E7 Q
temp_num += 1
1 f# i5 s: `5 m fprevs = fcur
; y. f1 p1 _3 u7 j8 V( z. _ Else
5 M7 q) ~% U, [ x, Q Dim p As Double, r As Double
/ ~* g) Z6 k }6 x p = Math.Exp(-de / temperature_k)% ` ?8 [$ M1 d4 Y8 D: K! x2 W8 W- v
r = Rnd()
! l8 E! A9 u8 {# z/ n; ?1 r, }* C5 J' W6 d
If p > r Then
$ D( W) h8 D. ] '以概率的形式接受使函数值变大的数
( u! }* a- q, |0 C* [* F; b K1 `/ _ x = xi- }. t1 c2 d; _2 G8 r0 f
rec_num += 1* I. N% U, y' N3 X1 z
fprevs = fcur
# R( q4 T v1 y% w7 J End If
8 \, ^! F- y9 U* m. |7 y End If- d" H7 |/ l! R- d
If rec_num > receivnum Then; N3 S! t7 C( `& _3 e
temp_i = i - 1, x4 ]% ~* l+ O
Exit For1 e; R! x1 ]1 M
End If; n0 b' n4 k4 O+ c9 t0 g2 [
Next" `2 p' u! ?9 p: h& I3 [* _9 C! r
. \) P- | e7 X' s8 `! Y* T k += 1! \6 z) ? L( j; K0 `$ U
temperature_k = init_temperature / (k + 1) '温度下降原则
" y) f/ g+ N+ _+ x. d' h W) H0 f+ \/ M
If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
% N2 r4 z1 m8 [# B9 T/ ^- \$ G( L
4 M* m, c" Z, M Loop While (k < 5000 )8 l/ [2 z; j9 L& K4 k y# U
xprevs = x
6 F6 r4 ?, u/ u/ Z' X, d5 [+ v+ Z0 d3 N# [
Return best_x) }) i! X/ T' ^6 ?
End Function( E+ z2 Q4 l: f7 S6 e X7 ^
V1 Q# a4 q7 ^& s% R0 oEnd Class
4 y+ m4 I+ {. z* J0 g! g# P
9 a3 |2 @# o; K, K. q A: @ ! S6 F, _/ X8 W
算法测试:
. u3 o& N# i! B. K) T在窗口中添加一个按钮
, H( s' d) m2 q8 \# MPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
! d7 [) Q+ B# }2 o/ v Dim csa As CSA_Cnhup = New CSA_Cnhup
& h4 q! j& o, e8 ~! v/ G
- B& q* y! [. F$ L( @5 d% i& T: V9 B Dim x1 As Double, x2 As Double
4 L- [9 t8 y, e! { x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")* V! X4 O4 |1 @7 }* u, [! M$ G8 i+ M
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ") N, U# M' h, ]( b% c
Dim y As Double( ]" C: N4 K) T2 b/ {
+ f, v3 X, O9 n3 u# b' F: F
For i As Integer = 0 To 19
7 \6 Q# V }3 T: |( Y: K; ] y = csa.CSA(x1, x2)
; R2 H8 R* L& ]9 a0 O5 j Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")0 J8 q: s: m- O; g
Next9 G% u& c( Z7 C5 f5 s
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
7 B' P; M1 J, S/ v5 G% GEnd Sub
' s6 h' F' [$ a5 B0 q0 w/ ?7 _! r! Y% |
|