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 20058 w) ~( ?7 ~# w; H6 Y& ?/ N- @6 s, l
觉得有用的给个回复,拉拉人气..
/ B& o& `6 h5 k4 E+ ]& s- L0 [, P! l- i
/ t3 k8 s0 W0 I9 @8 [
Public Class CSA
# f3 W2 {, K' M+ u, c
8 M" i! j& C" ^ Public Function obFun(ByVal x As Double) As Double
4 V' _$ H, f" L8 g* [3 M8 ] Return 2 * Math.Pow(x, 2) - x - 1# ]% J0 A# z! k1 O8 X/ R
End Function9 N l' V. v$ q' F
M& A& h z, K) \8 n# [ ''' <summary>
+ C" A- k5 B8 x/ V ''' 传统的模拟退火算法$ }- e# E6 S C1 I7 [$ c
''' </summary>$ y7 V8 O$ P; X# }
''' <param name="Ux ">参数的取值范围上限</param>
: Z' a! \/ s. f& \ A ''' <param name="Lx ">参数的取值范围下限</param>; h+ j( g @1 J& q( k4 u
''' <returns></returns>. W/ ^3 l3 B" I$ V3 H3 w2 g
''' <remarks></remarks>
2 P0 X6 `, v+ y* r+ Z& ^7 f Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double! y* e, V; e, J3 K% w
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; B3 h6 Q- V! R6 g+ r
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8 X+ @: j5 i& i* Z
m- g3 Q0 x7 X; k: U '初始化SA参数# l1 M) Z1 s1 ?% a' ]1 F
init_temperature = 0.01
5 j4 N9 s% m! _. r m$ S; D total_numk = 1000' I" n+ r/ K6 f' v* Y
step_size = 0.001
: Y8 J' L3 A9 v+ d5 s3 V receivnum = 50
7 @4 c/ }4 J9 C { E# r5 B1 S4 {: e+ w. _ x = (Lx - Ux) * Rnd() + Ux '随机产生变量x
1 X6 q* h' `5 ?7 ^+ `/ W2 W$ _4 ^! F, m- A1 o4 m& N. u1 p- r
Dim k As Integer = 0 '温度下降次数控制变量+ ?4 t* P2 G6 ]5 A9 B
Dim temperature_k As Double = init_temperature '定义第k次温度7 }& E; V8 A1 r" u1 v! d
Dim best_x As Double
% E, q4 i( t, n \( N6 k2 | Dim de As Double = 0.0
! b: a4 Q4 g1 a0 h& W* p Dim fcur As Double = 0.0
; z) \7 Z2 K5 Z( z Dim xi As Double9 F9 r m" w7 P0 q- n
7 r- I/ f# o8 G1 ~% C [1 P+ `2 S P
Dim fprevs As Double = obFun(x)
0 t- j l! G8 j- {$ s/ { Dim xprevs As Double = x
( Y1 [, R$ c9 {& b/ ~5 } 'SA算法核心 m6 e. Q* a) V
Do
9 S9 I4 K% ~: {5 ^ 'xprevs = x '保留前一个变量值
0 J$ t- d3 v# }& d7 W) P& y% m* W% r: X5 c2 N- ^
'以下三个参数用于估算接受概率$ C5 L; H( y1 ^; ~8 o x0 A
Dim rec_num As Integer = 0 '接受次数计数器- k, w# b9 d; }1 x5 o v: M
Dim temp_i As Double = 0 '记录下面for循环的循环次数
% V. X( \/ a( u* F; M; z, X Dim temp_num = 0 '记录fxi<fx的次数0 R7 T$ |- ]: y$ m- r- d
' ~4 w3 B: W, c6 h* v, A% U+ T
For i As Integer = 1 To total_numk6 Q- a8 a, ~- N, G8 _' O
'产生满足要求的下一个数" C4 U* x H1 j' _% X
Do- B. R9 [( f; U+ z' f1 }7 H- F
xi = x + (2 * Rnd() - 1) * step_size/ k7 j! B! T, F; Q$ ], h- F
Loop While (xi > Ux Or xi < Lx)
5 K7 [! p* Z, ^, t& F0 `$ t6 T
5 u8 y* j3 u) M9 Y$ F& ` fcur = obFun(xi)
$ t$ m; T0 ~) g6 M de = fcur - fprevs; T1 B* D6 e: ^! i0 r+ F7 P
6 T% v: e7 ^1 p+ } If de < 0 Then '函数值小的直接进入下次迭代
- _/ F0 G: K3 C) L best_x = xi2 r [: c3 j' f
x = xi
0 F% b: ~5 c$ x! o0 v. T- }4 Y* A rec_num += 14 N/ i- y. F/ w& a) H6 V6 K1 Q
temp_num += 1; W7 t, c9 y* T" x
fprevs = fcur
! X& a7 M- w8 M- c( q- H* Y; ~ Else
1 A# g! n- Z6 L' F- d8 k Dim p As Double, r As Double, }' M9 z+ q2 s$ W% R2 A+ y4 a2 `
p = Math.Exp(-de / temperature_k)/ U8 K. [0 n! d: L
r = Rnd()$ {% D* a8 t* s: J: p P( w; l" |% G
" m6 a7 G; l7 v6 p- l# f2 G
If p > r Then8 C6 v2 l& N1 ^9 N' D: J7 G' N( V
'以概率的形式接受使函数值变大的数 E1 N5 s, m$ {$ Y' D
x = xi+ ]0 W+ @2 }4 i. Z
rec_num += 1
# Z6 g6 A, U1 n# @5 Q! F0 @8 B fprevs = fcur
9 w1 B7 h) h' d- E2 ]+ F Q7 I4 o End If; V9 M7 K2 [6 y6 f
End If8 G( \! M0 w) N5 I% w( o9 I6 P% k
If rec_num > receivnum Then
3 V+ A. X' F. r, q- O temp_i = i - 1
) i4 Q+ R; M$ t/ o Exit For2 m% }3 j# x' Z
End If
. H3 ^/ N! y; i/ p Next
$ ~% R* \4 Q! ~% g5 J: e. v4 l. x. K! g* w) N
k += 1
, O& d" K* w6 e; }! Y" T temperature_k = init_temperature / (k + 1) '温度下降原则* [, n$ T7 R: z) d( X0 r
, ` w4 Y. u; t' W) n/ J1 U If Math.Abs(best_x - 0.25) < 0.00001 Then Exit Do
" S3 K* k* H' L! v) t
9 k. i7 u: T7 S. ~ Loop While (k < 5000 )
) [ a$ ~5 n2 s+ m6 ^4 n- v xprevs = x
, Q) _. n- q' G+ c' w3 L1 `+ ]9 Y. P2 e2 }# T: E* P! G' R) v0 T! q
Return best_x2 R4 F7 P& a7 [
End Function
. n2 Z6 A2 Y+ O+ H% a; P3 ?& N
6 ^# z- p" W' p- S$ K5 z vEnd Class : o/ b* Y; q0 u& J8 i
& f1 }; j3 k, N; M) F* H. d
7 Z* x' O/ }- S a! s* T算法测试:
: Y9 s- S" m# v5 I4 i4 M在窗口中添加一个按钮 . G$ b) y8 P8 `$ {1 n& e( d
Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
9 m5 P* U! b% e3 k' x b' t- s! x5 O Dim csa As CSA_Cnhup = New CSA_Cnhup
8 H( f1 A$ h/ h9 D$ x# X4 H; g; ~9 ^7 n/ }/ u, o) ~4 b
Dim x1 As Double, x2 As Double+ O6 i0 m: x/ Q
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")
/ z4 q0 i M. d! |( g8 J1 s3 t x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " ")4 O2 w" N0 n" A* m% }( }4 r
Dim y As Double. I5 V R! y3 L0 U' W, g1 c9 F, ~
/ F( S9 }% i- ]
For i As Integer = 0 To 19% R) |+ E0 \" s. Z7 |' x& t. [% G
y = csa.CSA(x1, x2)
7 Q" l3 X( [# j. W' \0 p" W Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")
' Q! k, r( w% O E+ i# M5 X! v Next9 |/ I+ N1 W" j
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)
& |1 P3 {( `) A( K( i1 tEnd Sub ; B% Q! {7 W4 ~' l: G2 h( V
$ [( B7 H/ T+ F |