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
, `4 g: l; H/ d觉得有用的给个回复,拉拉人气.." d# M# i. j# P T7 e. l7 T
0 q7 q8 p+ q0 [* ], p$ Z+ N& ]7 R
( s1 M7 A& d& [! VPublic Class CSA
" `: o i! n% _
2 J, O" S. w8 o" a4 p9 C8 \ Public Function obFun(ByVal x As Double) As Double
7 F% ?4 J$ i& f; P/ W3 O! K2 f9 p Return 2 * Math.Pow(x, 2) - x - 19 ` b" S$ N# X. X# M
End Function
3 E/ _% E4 x: M# \) {6 M' I5 c6 g+ n) Y! y5 r( U
''' <summary>! x3 F# W3 y1 n$ h" Q* j3 ?# |; T
''' 传统的模拟退火算法
|& s8 ^; M! U ''' </summary>
% y* |( R$ D7 O: G ''' <param name="Ux ">参数的取值范围上限</param>- w1 D9 ^: Z7 U8 ~$ l& o* K* Q2 P
''' <param name="Lx ">参数的取值范围下限</param>
0 f) ]2 j* I. @ ''' <returns></returns>3 x) j8 t( ]- D4 I; {
''' <remarks></remarks>
: x$ Q: N+ r3 t: ^4 h a Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double1 Q; @ n, Q/ \/ J' {- e( w9 v8 |
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+ v/ ]; w5 R0 t% B
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( ~$ R8 Q# Z% S* l, |8 K
0 P* p1 V- h. e* q" ?/ m '初始化SA参数
7 F9 M7 E+ u1 B* ], m6 Z init_temperature = 0.01
& O2 c% e+ B0 D3 K4 h, { total_numk = 1000
) `0 ]! d4 p, f s3 _' E5 q step_size = 0.001
7 c5 u: m* d" s$ F, h receivnum = 50* i# m" C' X3 d" @ U
x = (Lx - Ux) * Rnd() + Ux '随机产生变量x4 j W! M0 z$ r% @+ v
" R7 `3 x. A0 D+ X" O0 I. a* `+ m
Dim k As Integer = 0 '温度下降次数控制变量
) [ ^+ g( O% u k9 A | Dim temperature_k As Double = init_temperature '定义第k次温度9 u5 ?+ ~' E! a. |
Dim best_x As Double3 F) c: S* P6 _1 |6 h/ y# @4 _
Dim de As Double = 0.0
5 r C! M- P- {/ c Dim fcur As Double = 0.0
% L, o& N& D; n Dim xi As Double Y+ n0 m: G8 O; s/ i, ~( Y2 E- Y
' k7 Q7 U- Q1 E9 N
Dim fprevs As Double = obFun(x)
5 P% a6 [( b' ]( x- L, {/ D8 n# V2 ^ Dim xprevs As Double = x* p5 w" w- _4 V# |, n
'SA算法核心
8 B: e' F# S! N3 B1 B6 ~ Do5 Z( d: j @% b: K0 v0 O; K
'xprevs = x '保留前一个变量值
& Z: R+ {$ Y% O7 m4 l9 l
1 O) D9 ` s J$ u) s# Z '以下三个参数用于估算接受概率
v4 J+ M) W7 F, O9 J3 a9 m Dim rec_num As Integer = 0 '接受次数计数器
! S9 n; I" X$ k* V Dim temp_i As Double = 0 '记录下面for循环的循环次数
' Z k7 s5 W- }0 J% U2 B8 [ Dim temp_num = 0 '记录fxi<fx的次数6 J- k; B4 K: S. [* v
# v8 O' |0 z( B. B4 S( }" y
For i As Integer = 1 To total_numk
% s: o9 H: _$ a0 Q8 h9 p) h' ]$ A4 U '产生满足要求的下一个数
6 Y$ c+ [$ a& r5 P, u! d9 X4 R Do
; n G/ L& [5 _0 \# e; v xi = x + (2 * Rnd() - 1) * step_size$ Y( B8 h5 N, @- r, y2 I" Q8 z
Loop While (xi > Ux Or xi < Lx)
. }- v, E& v3 i, h2 i# X9 M7 R8 M. b8 Z# H2 K" P% n! c
fcur = obFun(xi)" w" h' |) t; [) J
de = fcur - fprevs
7 t6 }+ v2 W/ V- _+ B! S5 z" x+ |/ l; Y( s- i
If de < 0 Then '函数值小的直接进入下次迭代
$ _; @9 O% i3 _ best_x = xi" A" X4 y1 k! a) H* ]
x = xi; H: L5 y2 S- P& i5 V. Z
rec_num += 1
$ d: r4 {) ^7 e/ }5 [ a' H temp_num += 1: Y% F+ @8 j/ Y# G" }7 Q0 H. Z
fprevs = fcur
R4 q) Z& y6 ^& W7 s7 x Else
: W* Q2 b) w3 x% T Dim p As Double, r As Double
: v8 q/ L' y% k7 m: L2 g! l p = Math.Exp(-de / temperature_k)
; _) p) A3 [4 h r = Rnd()
# n/ s! c [/ ]2 E7 F3 \! K% y5 W. P3 E8 }: w
If p > r Then
( | D5 r3 ~9 y$ s( c '以概率的形式接受使函数值变大的数( {$ w' a' c% m8 `) N0 ?: Y
x = xi, t& D5 s4 ?, z( k9 `% t& |
rec_num += 1: n. n8 p5 z7 P, G& J" `
fprevs = fcur
4 @. Y- h- y4 N: z* I# O2 ]. s. j End If! T; J5 ]* e0 l0 L
End If# ~2 ?, s3 F9 T& s/ Z2 V3 d4 }% _
If rec_num > receivnum Then# q8 x8 t. P3 G m. s
temp_i = i - 1# h2 m2 R% x- \5 ^ \
Exit For( W; R s; j1 F1 G' o
End If& J) ~' K* F2 R
Next
( s# d% C) r% u' Z3 a5 h, b2 ?& G, G+ f1 z& _* d4 ?" o8 x- ~
k += 1
' C% R4 }8 z- H) C; x; y temperature_k = init_temperature / (k + 1) '温度下降原则
0 r% s' h4 |5 n2 ~" H
% Q' Y! W5 E) _( j If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do7 l6 b" V. _3 M- D
' W) y O s; J* ?3 B Loop While (k < 5000 )+ F7 F. j& M& i4 @ I6 j
xprevs = x9 W& R0 v9 A; u( e; |$ w
9 L* g* d" E4 w) q$ l Return best_x
/ Z1 `" x! L0 |, h End Function
8 L( P6 q5 y1 o9 a# ^) r5 g
0 ~$ R0 T( d- A7 NEnd Class
- B7 E& t6 k2 K( ~+ v0 @. J
. b+ S0 N; I. D2 h' X3 n3 Z 4 c1 I7 n6 a% p8 c2 W
算法测试: / y1 m6 j7 c' z3 p+ r
在窗口中添加一个按钮 . U1 A9 d# b" @. C* ]$ w
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
" j0 Y9 E$ }4 s1 p+ D: D s Dim csa As CSA_Cnhup = New CSA_Cnhup1 J, m$ R7 V- g& l1 o
- G; i# f6 v4 I& D9 O! [' o' } Dim x1 As Double, x2 As Double7 b# M5 _6 @- i6 P- u; A0 r5 p
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")3 K" ~4 U& i: ^( M& @4 j X% |" f
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")* c7 T$ \ j" K) i5 Q1 P+ Y
Dim y As Double5 E# F6 W1 H; Y* S9 B
, V0 } A2 A# R% M8 {6 _
For i As Integer = 0 To 19
& l6 A( `, _8 `2 Y y = csa.CSA(x1, x2)
/ I5 a' ^: b7 w. |6 S Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
# k- o- ?- ?6 ^) k5 o Next& X: o+ D# v9 z# r" R! A
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
0 Q: C" x8 ]9 g! l* e d" F% CEnd Sub # g& R% Z" v% M \. n1 b
: a& c% G2 f6 f! S! P8 ^: q! U% G/ i
|