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
9 {1 d$ b& R$ D z0 j" @4 |觉得有用的给个回复,拉拉人气..
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Public Class CSA
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* m$ [6 M! T/ G. V8 p. s) V# v Public Function obFun(ByVal x As Double) As Double
( ?$ _6 C& N" H' l( t Return 2 * Math.Pow(x, 2) - x - 1
% }; _% r0 C) G4 E. p0 p7 U( u- P End Function
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''' <summary>
* \ @: u2 S! ? ''' 传统的模拟退火算法0 V& |; N6 p6 j7 c
''' </summary>9 V' f% A/ n! b. L4 V0 t o
''' <param name="Ux ">参数的取值范围上限</param>
% r& H# F6 X! X' D ''' <param name="Lx ">参数的取值范围下限</param>
2 q) u2 M, { W. y& [0 Q) F) m ''' <returns></returns>
, ^1 k. ` Q2 U) v ''' <remarks></remarks>4 O' H3 {5 T3 @( s Z
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
& ]9 j- Q. g+ x4 f: P3 c; p; A1 e$ q 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
! N' W2 E9 X, V% o- r3 j 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0 }& h' Q* [& y5 W( O
, n1 T: Z+ w8 B/ g. S9 E( [ '初始化SA参数
1 E/ @ S4 n' _$ U init_temperature = 0.01
: }* F } n. t3 [5 m; L- | total_numk = 1000
6 ? }7 {1 j& _9 f6 B3 W step_size = 0.001
( a, ~' |+ D/ K( f/ E0 J receivnum = 50
, }* P5 }3 }1 L0 S K5 e x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
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% k( o# @" E+ H* x" F+ y' z! D Dim k As Integer = 0 '温度下降次数控制变量0 U' O! T. A0 [, \
Dim temperature_k As Double = init_temperature '定义第k次温度
$ n$ r7 |. |" I" N Dim best_x As Double8 {' K4 ]# B& g- w
Dim de As Double = 0.0
7 Z5 X, ~3 |: e0 `" Y Dim fcur As Double = 0.0
. r4 h: K1 H" q# | Dim xi As Double- P3 Z" ?6 S- U3 ^3 w
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Dim fprevs As Double = obFun(x)
& {; L( e1 T. @% b0 D, H$ L- {" L: [ Dim xprevs As Double = x3 {8 i9 T- t5 r* ?+ G
'SA算法核心 _) U" t5 _ @8 u: h, {
Do
+ _, ?! Q0 |+ t) u1 d& M3 M 'xprevs = x '保留前一个变量值8 L: D( [# b; X3 _
: N, a. }% h9 r- `% ?; @ '以下三个参数用于估算接受概率
0 C" ]! j5 v/ g9 Y* [# l Dim rec_num As Integer = 0 '接受次数计数器0 R9 v1 U. W: x; L) [. i* @
Dim temp_i As Double = 0 '记录下面for循环的循环次数
7 r: b0 @% g/ T" j$ j0 m Dim temp_num = 0 '记录fxi<fx的次数
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For i As Integer = 1 To total_numk; Z2 {( `" Q" O0 H4 b/ x
'产生满足要求的下一个数3 x5 \7 d. g4 T7 t* l( Y
Do8 J" H B! p# Z, r$ _
xi = x + (2 * Rnd() - 1) * step_size/ w/ E- u- r1 j: m- O
Loop While (xi > Ux Or xi < Lx)+ d! P& _) P( d8 O3 j3 n( o9 x
* C: l* o& n) _$ Q fcur = obFun(xi)/ A" s4 o" ]4 d; v4 K+ z h: g
de = fcur - fprevs* V# F. g5 U# g) M) a" I1 k
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If de < 0 Then '函数值小的直接进入下次迭代6 G5 z n! B( Q+ h
best_x = xi4 a! w4 r v8 r$ `: t
x = xi
( o0 s3 @& H7 j$ g5 ~ rec_num += 1$ _' \: L" V7 J2 b" i
temp_num += 1
5 h a8 { }8 b) p7 [. ^! q2 c fprevs = fcur
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Dim p As Double, r As Double
& b, w2 U; ^) @8 ?1 `5 o4 X p = Math.Exp(-de / temperature_k): P P2 W* M! W4 w# ^
r = Rnd()' j0 E' F# ^. T5 m Q. d
( ?, m5 g2 k0 o0 {( ~ If p > r Then
" H- A; Z, ?4 ^/ L6 w( q% f '以概率的形式接受使函数值变大的数- R: C3 M6 |/ k0 B9 X9 d& {
x = xi
$ c! ~3 Q! T& x! P rec_num += 1: v1 U2 R. ]! [0 W& V1 n
fprevs = fcur- G4 P$ F2 T" X+ ]1 U- }) J
End If
y& s' y$ B2 h: Q) x5 ?" T3 C End If
' @4 P) e* B0 `+ s If rec_num > receivnum Then
) l9 R0 N8 `+ \5 Z1 Q temp_i = i - 1& D6 C* X& s J1 y
Exit For
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Next' C1 h+ t' h6 I; o7 ~
u/ x- G4 i" B. S1 V# O k += 1
& b% R& c4 Q6 G0 W0 c% U8 {6 h( T" t temperature_k = init_temperature / (k + 1) '温度下降原则" T6 y0 M. e6 t4 G9 R W' Z# a% S
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If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
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Loop While (k < 5000 )$ n" v+ Q: N& X" q- k% Z- y' J
xprevs = x
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Return best_x9 ?5 {2 P+ ^, L( ~
End Function$ Q: o1 `" ]2 {7 g4 x& b
/ [8 Q# [& l- c8 B) h8 fEnd Class
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x1 w# b3 G& v% p3 C! [; \9 A. f算法测试: $ P% f2 e" E3 c4 W
在窗口中添加一个按钮 ( n9 i2 ~; O/ i
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click1 C8 O2 m7 s4 ^6 F0 F
Dim csa As CSA_Cnhup = New CSA_Cnhup: W- L* D% Y3 e* ?7 G1 O% @
" S. D7 R$ S1 w# s: R3 B6 W Dim x1 As Double, x2 As Double
# z" d: a7 [& y% p* s x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
, j/ U; H; t( L x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "); D1 Y! T) l" {
Dim y As Double
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For i As Integer = 0 To 19
( l1 O$ i( U: C& W5 l8 d( g* t' P P y = csa.CSA(x1, x2)9 c1 u- y4 G1 F6 O. d
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")# b7 G5 q% X6 v8 V/ W5 V( S( d) O2 g. N
Next
; j4 e6 n" [' @ Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
7 ^; X# W8 l+ p4 }End Sub " X+ o! F$ B ^+ k8 e2 t3 p* i3 L, N0 z
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