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
. q9 j( ?. ?; D$ |# b觉得有用的给个回复,拉拉人气..
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" B. d) L, G: P( h+ J5 P* E, T) EPublic Class CSA
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! ^+ e8 ^3 G% N% i/ e4 ?* f. a) ?4 `0 g Public Function obFun(ByVal x As Double) As Double
- }$ `# [% R) H; s( I Return 2 * Math.Pow(x, 2) - x - 14 _6 t1 d9 S- `9 v3 ]! U
End Function2 m3 {- t8 c3 C# p2 @ ^2 b0 L( k
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''' <summary>
& t& v3 a, m! Y+ h$ ? ''' 传统的模拟退火算法
0 ~: ^' R/ L3 d3 M0 F1 S ''' </summary>9 s6 L {+ i. O; A. J2 v
''' <param name="Ux ">参数的取值范围上限</param>
/ J/ `( @ O# b3 H' I ''' <param name="Lx ">参数的取值范围下限</param>& a3 A/ ]7 U4 s& u% @
''' <returns></returns>
0 P5 [, G! s+ o ''' <remarks></remarks>
. U- F$ Y* h: H6 J' {/ A) t Public Function CSA(ByVal Ux As Double, ByVal Lx As Double) As Double
6 C D6 Y6 [6 ? 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8 o) a, s6 F, @; t/ ]2 K
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
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'初始化SA参数3 x1 k& b! Z- A5 r
init_temperature = 0.01
. m: R4 l$ ?* @) ?' p total_numk = 10003 l5 F* |, @6 m& r# h
step_size = 0.001' T |2 l, v) f3 _. Q( L
receivnum = 50
# |- ?( C9 y! J& z' v x = (Lx - Ux) * Rnd() + Ux '随机产生变量x& {6 ]: E3 [: L8 t
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Dim k As Integer = 0 '温度下降次数控制变量+ t, u) P" i. M: ^$ k8 j6 r
Dim temperature_k As Double = init_temperature '定义第k次温度
' K7 L7 T9 M) c( D Dim best_x As Double. z* @0 y* I, b
Dim de As Double = 0.0
2 N5 f0 `# @ b+ O. M: r Dim fcur As Double = 0.0
/ w. n: c) i o& o$ q% m1 j Dim xi As Double
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Dim fprevs As Double = obFun(x). S3 c& c8 d, e/ ^, u+ g' x
Dim xprevs As Double = x
" u2 R* z7 {- z2 `7 I6 _6 N2 z 'SA算法核心
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'xprevs = x '保留前一个变量值
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/ Z: w4 `8 x* f2 I: u '以下三个参数用于估算接受概率, ^1 ?4 R: H# b* o/ ~" [
Dim rec_num As Integer = 0 '接受次数计数器
; F z+ B0 W- y. k Dim temp_i As Double = 0 '记录下面for循环的循环次数
+ a( x* H. P6 U, \- [ Dim temp_num = 0 '记录fxi<fx的次数0 P6 ]3 K: H4 J, F3 j
3 h f9 |2 R/ }+ [8 i For i As Integer = 1 To total_numk! Z& F- ^$ R( C p
'产生满足要求的下一个数) x+ o/ K: D5 y9 L3 C
Do$ j9 ^6 ^! W' ~( ], J
xi = x + (2 * Rnd() - 1) * step_size
. P3 J# k$ }7 L( A& a' B1 D Loop While (xi > Ux Or xi < Lx)
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- R# F( \' Z, m6 O `, o3 x8 X fcur = obFun(xi)' J+ b2 \* D2 {% G% c- s
de = fcur - fprevs
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If de < 0 Then '函数值小的直接进入下次迭代! e8 `" i7 H+ `& f8 `5 g
best_x = xi
I2 E( N/ h; C5 }2 m; _ x = xi
9 t3 x* ?3 [% h# [1 _; y6 v4 a7 p/ u rec_num += 1
) G. `8 c) l1 ~% m: M$ y2 x temp_num += 1
$ u6 ^: q4 T* u8 K' _ fprevs = fcur) T4 ~2 O: P/ u3 B; c
Else
5 `# n& [. |8 z8 T1 F. [ } Dim p As Double, r As Double% t. g5 X; J- g/ D7 A; V. u
p = Math.Exp(-de / temperature_k)5 R( q1 A5 H* ~8 F, Z+ T
r = Rnd()
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: f6 {$ O5 K" a+ G" }* g; K# Q If p > r Then
0 D2 k4 b4 d+ D4 u '以概率的形式接受使函数值变大的数
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rec_num += 1
& h1 {5 g/ J# k) n3 B7 e fprevs = fcur9 E" y3 u& u3 a! A8 m) \
End If5 l, N( ^+ `7 ~& l3 G) b: p
End If
f6 j) e L: K If rec_num > receivnum Then8 x, k& b* N8 }. h
temp_i = i - 1
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End If% S1 j, Y. [) ^" S/ V. A6 U% c
Next F; b1 W4 s- `$ Z8 V6 W0 [9 |) ?0 [
) P, J7 k" L; J, U k += 14 g% H6 w9 K2 E5 V; W& C
temperature_k = init_temperature / (k + 1) '温度下降原则 P' g; `: t' F- l; C
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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* p/ x5 o* E9 e* C! g( w
xprevs = x1 T o/ Y5 `+ [2 q" l
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Return best_x. g* X- w3 h- j9 {6 k6 a
End Function" Z6 C* N' Y/ S e- ]3 |* O
9 B6 Y9 `1 |4 h; S8 z# r8 j4 mEnd Class
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/ r$ u, x7 j8 Y O算法测试:
& [2 o3 l: ?$ w- w2 Q& l4 {3 m在窗口中添加一个按钮
5 M% t2 r, k6 F. P* JPrivate Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
" ^% \. \0 U9 a6 E$ @ Dim csa As CSA_Cnhup = New CSA_Cnhup
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1 h: `, {$ D# a, T0 R9 ^8 b) d9 i Dim x1 As Double, x2 As Double8 n' y, {6 F, V: F g& ^
x1 = 2 'CDbl(InputBox("参数上限", "参数范围", 2) & " ")) q- p. u9 `9 k; m% `& K+ D
x2 = -2 'CDbl(InputBox("参数下限", "参数范围", -2) & " "): Z8 r; u4 g1 E! {( a# K* c
Dim y As Double
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For i As Integer = 0 To 197 e5 T' h) W5 Z8 n! s! |# {3 t' R5 I
y = csa.CSA(x1, x2)& ?" x! S) i; h
Debug.Print("(" & y.ToString & "," & csa.obFun(y).ToString & ")")) x, T9 ~5 L8 B6 G5 @! X+ }% B7 c
Next* I5 l& X0 r5 h
Debug.Print((New System.Text.StringBuilder).Append("-", 60).ToString)) |; V( r5 X+ j7 z3 y4 R4 }# y" Q( n
End Sub 5 B- C6 Q5 R1 [
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