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
# L$ e. z7 f" C% ?觉得有用的给个回复,拉拉人气..: P, R8 ^- D% v! p) l( }
6 S: u2 w) U% T- a
2 g2 j6 k# K( Y6 j' N TPublic Class CSA
" `. _8 v4 Z. U; g: a0 d+ V- u
1 p! y. m6 B1 k+ l Public Function obFun(ByVal x As Double) As Double4 A a: F1 h/ @$ C+ R4 l: s
Return 2 * Math.Pow(x, 2) - x - 1& @ u" i* M3 x. G! F2 N3 V
End Function
: ?9 f5 {+ F' F- s+ U! W4 I' a- |0 B+ S5 b9 L8 z( `$ i
''' <summary>
& U: r% e7 {2 c$ k/ n ''' 传统的模拟退火算法
4 T+ z1 x1 z4 S0 |, N2 X5 h ''' </summary>
9 j( @+ X# q! R; f& m3 r0 a; _ ''' <param name="Ux ">参数的取值范围上限</param>
; w7 }( z( o1 ?3 [ ''' <param name="Lx ">参数的取值范围下限</param>0 z$ L+ x+ l" R3 j/ n% U; P3 `- H7 D2 j
''' <returns></returns>* |2 w7 \ W0 {
''' <remarks></remarks>- G2 n1 R) p6 X0 G" `6 ?
Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double, O! ?8 c( f3 c+ C
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
/ \+ o- @4 m6 l8 Q3 ]6 `$ f# 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$ D; [. N0 b7 w
) ^. I' S5 {/ o; N v2 x, J
'初始化SA参数
9 {3 f- g }/ \' h init_temperature = 0.01
" q5 E: `1 s8 [4 i3 L total_numk = 10005 {! N- D- U1 t/ J( k
step_size = 0.001
4 }9 l( T8 y6 `' j/ E* N6 @2 j/ t receivnum = 50
+ R; D' b. Z3 [0 Y& X ~9 @ x = (Lx - Ux) * Rnd() + Ux '随机产生变量x- i$ T) E- l9 P( M8 f+ j3 H
+ \. M) X7 q, R j6 y% a Dim k As Integer = 0 '温度下降次数控制变量
8 |/ E8 t2 T7 w$ ?- Z3 b- w- h3 S Dim temperature_k As Double = init_temperature '定义第k次温度3 q2 H3 x; x. v0 N e
Dim best_x As Double m) \/ l% H- o5 ^3 R1 m6 K% W
Dim de As Double = 0.0! w2 ^3 Z! S" H: ?) c! g8 v
Dim fcur As Double = 0.0( c% ^8 z3 M5 q
Dim xi As Double
1 m$ ^2 N" _' t3 Y8 P3 Z; ~& p1 G9 q0 B! @4 X A* I
Dim fprevs As Double = obFun(x)
9 s9 ~2 Q1 `- x: Q6 I Dim xprevs As Double = x
: `2 x$ h$ ~" H) y! a4 V6 u5 ~8 a 'SA算法核心8 ^6 J9 U( k/ C& Q2 p* W0 Y
Do
- X& g' m* b9 H* u) y' V: M 'xprevs = x '保留前一个变量值
7 G- W3 ^1 u# p7 R2 m* ]/ I$ F. j6 J+ T7 l; d: H* u
'以下三个参数用于估算接受概率
% O. E! {/ f: e5 s2 z Dim rec_num As Integer = 0 '接受次数计数器
0 k* i; z" \" X. i( V Dim temp_i As Double = 0 '记录下面for循环的循环次数
8 d1 @+ B4 z; }; B1 C3 b; `8 }7 } Dim temp_num = 0 '记录fxi<fx的次数
" T2 Z- u3 c7 u: D2 W% }* I+ S& u; O( {" b8 |' N4 V [
For i As Integer = 1 To total_numk
. G7 X, w! Z3 C '产生满足要求的下一个数( ~0 `2 j* ]* f/ ]
Do
$ E/ T, v8 g2 D; G( K: f& O* e xi = x + (2 * Rnd() - 1) * step_size
) Y0 Z8 H, h c& a8 M Loop While (xi > Ux Or xi < Lx)3 x! j) ~1 y: e# p
- S0 Q4 n5 A0 X& b
fcur = obFun(xi)
( |/ D) M3 S3 n0 Y `9 E0 W* h; j de = fcur - fprevs
- F) s$ M5 d- m& N. E- s' W
. ]" S% J5 a, s4 N% m If de < 0 Then '函数值小的直接进入下次迭代9 w) g8 y/ R; H: n* [' G
best_x = xi1 m8 J9 ^5 M' M- K7 @
x = xi1 {: V5 V) B2 T8 f/ G4 w
rec_num += 1& ?: z5 s" a" p" Z5 j
temp_num += 1; ^( l4 B" s6 H& P8 t$ J. U+ r
fprevs = fcur4 X6 | Z' D+ }" G5 S4 ]
Else
1 T+ S% Y+ k+ s7 K Dim p As Double, r As Double& l# n0 b+ m- S
p = Math.Exp(-de / temperature_k)
! A$ w6 r8 E7 g$ X+ k) @ r = Rnd()/ A& O" m: }/ y: C- R' O# Z
1 m. J: o/ y/ ^7 e; N4 \ @- b
If p > r Then* s. q* l; A4 `
'以概率的形式接受使函数值变大的数, {: H- p2 p z0 f7 Q: d
x = xi1 d/ Q/ i' B" G6 [7 H
rec_num += 1: M5 P! D& m9 Y6 x0 a+ O
fprevs = fcur7 j+ N1 g; P6 k6 D* [! f' o* a
End If
* l8 D6 _: K4 ~1 t' T* n End If
. `6 S$ R8 k4 p& W" m3 B# `; \) } If rec_num > receivnum Then
% ?* ^! X2 i6 U: R5 ?, {9 O temp_i = i - 1& b( ^ j* Y. a3 \4 m* | Q
Exit For `& t( c& O0 \; W# M2 N
End If
5 ?4 `0 S; u; n. ?! ^" U+ u: A Next; I4 s) y' m+ G/ q
0 Q8 U* j; V; k. o# y
k += 1
X2 r1 i1 p' M6 Q4 U3 ? temperature_k = init_temperature / (k + 1) '温度下降原则
: H" y; y. }4 V. A2 p! u4 ]9 m# D3 S/ U; C7 U
If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
/ L: n N- j$ h6 t* ^# q8 y0 ~& l3 k; M- D2 f; y
Loop While (k < 5000 )2 i7 A3 @# m/ C/ T
xprevs = x
) F y3 d }0 a& g& x% H2 `( \' e/ ~6 t7 T# a6 s( R H7 S
Return best_x
% o4 W+ c0 ~8 _; w4 m8 l End Function
k7 A) O8 P5 v z/ s$ B+ d" V* Z( L; V
End Class / O" k2 a- t! K
' l) V" l! h6 W8 T' h8 J& b" { . X; j6 {$ h. U+ S* L. U3 h* H
算法测试:
) F+ }& D7 f4 u+ J, e5 w在窗口中添加一个按钮
% y5 f/ n' b" P' \8 W* D" MPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click5 \, n$ @+ s3 ^2 @7 \
Dim csa As CSA_Cnhup = New CSA_Cnhup
9 U: @( K' I' q8 Y; B2 `5 c7 g) S8 X- _) C. q, D* G
Dim x1 As Double, x2 As Double
% T; a8 c2 w6 P0 h% m x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
4 c2 E2 B$ I0 D; O6 d3 D x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")9 [$ ]; H, b0 r
Dim y As Double
. ^# X7 Q+ Y, b% Y$ {' x
( `% W' e3 U& q, b1 E, R; F! ?' `! G For i As Integer = 0 To 19
H: p( c7 V/ T% e) d6 b/ p y = csa.CSA(x1, x2)
6 j; f* t b* Y5 P3 {- o" m U Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")8 g2 Z. g: c1 i0 L$ |7 |9 F J
Next* q: d. M( k: _* [
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)# t6 j; X/ I1 B) Q
End Sub * R0 x; q* R/ m( L& g3 ?
6 X6 s! s5 L$ \0 Q |