Ⴟ၂োگᄖ֥ଆ٤ཌྟܿ߃໙ี, مႨԮٚمႵི ࢳbູՎ, ༯ࢫࡼഡ࠹ࢳھଆ֥၂۱ࠎႿଆଆ ֥ަಕෘم( FSMA) b 3 基于模糊模拟的猴群算法 ަಕෘم( MA) [12] ൞ଆަሰݖӱطഡ࠹֥ಕ Ⴊ߄ෘم, ০Ⴈଢѓݦඔᄝ֒భࢳ֥ເะ؇ྐ༏, ๙ݖަ ಕᇏૄᆺަሰa ຬa ๋۱ቔݖӱ, ҂؎ෆ෬ࢳॢࡗ֥ ۲۱თbෘمЧദླေטᆜ֥ҕඔࢠഒ; ᇕಕܿଆؓ ໙ีົඔ҂ૹۋ, ෮ၛॖၛॹႵི֥ࢳۚົඔa ؟ࠞ ᆴ໙ี֥ಆअቋႪࢳb ࢳଆэਈ
N i= 1 W i exp( - rti ) ௹ຬᆴ֥ଆଆ ( FS) ෘم: ҄ᇧ1: e = 0; 7 ( W) =
N i= 1 Wi exp( - rti ) , ఃᇏ W = ( W1 , W2 , l, WN ) T . ҄ᇧ2: नᄋӁള H j k ( j = 1, 2, l, M ; k = 1, 2, l, K ) ֤ P os( H j k ) E, ఃᇏ M ൞ଆ֥थҦэਈඔ, K ൞၂ ۱ԉٳն֥ඔ, E൞၂۱ԉٳཬ֥ඔb ҄ᇧ 3: H k = ( H 1k , H 2k , l, H Mk ) , vk = P os( H 1k ) Pos( H 2k ) l Pos( H Mk ) , a = 7 ( W( H 1 ) ) 7 ( W ( H 2 ) ) l 7 ( W ( H k ) ) , b = 7 ( W ( H 1 ) ) 7 ( W ( H 2 ) ) l 7 ( W( H k ) ) b ҄ ᇧ 4: L = ( max k {v k û7 ( W ( H k ) ) r} + min k { vk û7 ( W ( H k ) ) < r}) / 2, ఃᇏr ൞ [ a, b] ᇏෛࠏඔ; r 0, ᄵ e = e + L , ڎᄵe = e - L , ᇗگՎ҄ᇧ K Ցb ҄ᇧ 5: ൻԛ E [ 7 ( W ) ] = a 0 + b 0 + e( b - a) / K . ަಕෘم[ 12] ݖӱႨটෆ෬अ҆ቋႪࢳ, ຬݖӱႨ ট࿙ᅳб֒భቋႪࢳ۷Ⴊ֥ࢳ, ๋ݖӱॖၛॹ֥֞ః ෆ෬თ, ၛٝཊೆअ҆ቋႪb f : R( N2+ 3N) / 2 ¹ R ູ f ( x ) = E
N i= 1 Wi exp( - rti ) ( 12) ఃᇏ, x T = ( X01 , X02 , l, X0N , X12 , X13 , l, X1N , l, X(N - 1)N , D1 , l, D N ) R( N2+ 3N )/ 2. ࢳଆ( 6) ֥ࠎႿଆଆ֥ަಕෘم( FSMA) і ඍೂ༯: ҄ᇧ 1: ҕඔഡק: थҦэਈ۱ඔ M, ଆଆՑඔ K , ަಕܿଆ P , ֥Ցඔ Nc , ֥҄Ӊ a, ൪့Ӊ؇ b, ๋֥ࡗ [ c, d] , םսՑඔ S . ҄ᇧ2: ԚׄളӮ: ႮॖྛთෛࠏളӮԚ໊ᇂ xij , i = 1, 2, l, P ; j = 1, 2, l, M. ҄ᇧ3: : ࠹ෘଢѓݦඔ( 12) ֒భׄ xi ເะ؇ ¶f ij ( xi ) = f ( xi + ¶xi ) - f ( xi - ¶xi ) 2¶x ij ( 13) ఃᇏ, ¶x ij ડቀ Pr( {¶xij = a}) = Pr( { ¶x ij = - a} ) = 0. 5, ଢѓݦඔ( 12) ֥ᆴႮభ૫֥ଆଆ( FS) ෘم ֤b xij + sign( ¶f ij ( xi ) ) ॖ ྛ, xij = xij + sign( ¶f ij ( x i ) ) b ᇗگՎ҄ᇧ Nc Ցb ҄ᇧ4: ຬ: Ⴎ ( xij - b, x ij + b) ෛࠏളӁׄx £ i , ০Ⴈ ଆଆ࠹ෘଢѓݦඔ f ( x £ i ) b x£ i ᄝॖྛთଽ, f ( x £ i ) > f ( xi ) , ᄵ xi = x£ i . ᇗگՎ҄ᇧ Nc Ցb ҄ᇧ5: ๋: Ⴎ [ c, d] ෛࠏളӁඔ S , xi + S( pj - x i ) ᄝॖྛ თଽ, ᄵ x i = xi + S( p j - xi ) , ఃᇏ p j =
P i= 1 xij / P. ҄ᇧ6: ᇗگ҄ᇧ3a ҄ᇧ4a ҄ᇧ5 ܋ S ՑbൻԛቋႪ ଢѓݦඔ f ( x* ) ބቋႪࢳ x * . 4 数值算例与分析 4. 1`ඔᆴෘ২ ଖሧᆀؓԚሧӁ100 ຣჭᄝ3 ୍ଽ܋ٳ3 ۱ᇛ௹ ࣉྛሧ, ఃᇏ ti = i, i = 1, 2, 3bၛݓຩࣁವඔऌ ९ҍӁЌགٳ܄ඳ2006j2009 ୍ြༀ࠹іູ၇ऌ, ࠹ ෘ၂aؽa୍௹न൬ၭੱູᆞٳ֥҃ෛࠏэਈ, і1b і1`ֻ k ௹֞ i ௹০ੱ֥नᆴაѓሙҵ( % ) ( uk1 , Rk1 ) ( uk2 , Rk2 ) ( uk3 , Rk3 ) ( u0i , R0i ) ( 4. 2, 5) ( 7. 8, 9) ( 11, 14) ( u1i , R1i ) ( 6. 5, 7) ( 9. 6, 11) ( u2i , R2i ) ( 5. 4, 8) ၹЌགದ҂ିࣚಒ۳ԛഠ߶नാੱ, ሧᆀၧ҂ ିࣚಒ۳ԛ์གྷၹሰބሧ൬ၭੱ, ۴ऌ۲ᇕၹ֤ყ௹ ഠ߶नാੱູ࢘ଆэਈ N= ( 0, 0. 05, 0. 12) , ყ ௹์གྷੱູ࢘ଆэਈr = ( 0. 02, 0. 03, 0. 04) , ყ௹ ሧ൬ၭੱູ࢘ଆэਈೂі2 ෮ൕb і2`ֻ k ௹֞ i ௹০ੱܙ࠹ᆴ rki ( % ) rk1 rk2 rk3 r0i ( - 1. 5, 5, 10) ( - 2, 7, 15) ( - 4. 6, 12, 20) r1i ( - 2, 6, 11) ( - 3, 9, 16) r2i ( - 3, 6. 4, 12) 78 ༢``۽`ӱ``````````````````2011 ୍