F&Atilde;&sup3;rmulas Teor&Atilde;&shy;a de Colas

# F&Atilde;&sup3;rmulas Teor&Atilde;&shy;a de...

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Unformatted text preview: FÓRMULAS TEORÍA Modelo (M/M/1): (DG/ ∞ / ∞ ) Pn = (1 − ρ ) ρ n L s = E{ n} = Lq = Ls − DE COLAS Modelo (M/M/c): (DG/ ∞ / ∞ ) ρ n P0 ;0 ≤ n ≤ c n! Pn = n ρ P ; n > c n −c 0 c c! c −1 n ρc ρ+ P0 = ∑ n =0 n! c!(1 − ρ ) c −1 ρ 1− ρ λ ρ2 = µ 1− ρ L 1 Ws = s = λ µ (1 − ρ ) L ρ Wq = q = λ µ (1 − ρ ) Modelo (M/M/1): (DG/N/ ∞ ) 1− ρ n 1 − ρ N +1 ρ ; ρ ≠ 1 Pn = 1 ;ρ =1 N +1 ρ 1 − ( N + 1) ρ N + Nρ N +1 ;ρ ≠1 (1 − ρ )(1 − ρ N +1 ) Ls = N ;ρ =1 2 λ λ (1 − PN ) L q = L s − ef = L s − µ µ L Lq Wq = q = λef λ (1 − PN ) Ws = Wq + 1 Ls = µ λ (1 − PN ) cρ ρ c +1 Lq = P = P 20 2 c (c − 1)!(c − ρ ) (c − ρ ) Ls = L q + ρ Wq = Lq λ 1 µ Ws = Wq + [ λef = µ (L s − L q ) = λ (1 − PN ) FÓRMULAS TEORÍA Modelo (M/M/c): (DG/N/ ∞ ): c ≤ N DE COLAS ρn P ;0 ≤ n ≤ c n! 0 Pn = n ρ P ;c ≤ n ≤ N c!c n −c 0 N − c +1 −1 c ρ c −1 n ρ (1 − c ρ ∑ ρ + ; c ≠1 n =0 n! c!(1 − ρ ) P0 = c −1 c −1 ρ n ρ + ( N − c + 1) ; ρ = 1 ∑ c n =0 n! c! N−c ρ N−c ρ c +1 1 − − ( N − c) ρ 1 − ρ ; ρ ≠ 1 P0 c c (c − 1)!(c − ρ ) 2 c c Lq = ρ c ( N − c)( N − c + 1) ρ ; =1 P0 c 2c! λ L s = L q + (c − c ) = L q + ef µ c = ∑ (c − n )Pn n =0 c λef = λ (1 − PN ) = µ (c − c ) ...
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F&Atilde;&sup3;rmulas Teor&Atilde;&shy;a de...

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