61 lines
1.1 KiB
Org Mode
61 lines
1.1 KiB
Org Mode
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#+title: Otra Presentacion más
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#+author: Fede
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#+email: federico.nicolas.polidoro@gmail.com
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* M/M/2
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banco con dos cajeros. arribos $\lambda$ = 20 cli/h, servicio: $\mu$ = 30. Encontrar E(n) y E(t)
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** RTA
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*** encontrar L o E(n)
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$\rho = \frac{\lambda}{2*\mu}$
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$\rho = \frac{20}{2*30} = \frac{20}{60} = 0,33$
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$P_0 = (1-\rho) /(1+\rho) = \frac{2/3}{4/3} = \frac{1}{2}$
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$L_q = \frac{P_0 * (\lambda / \mu)^c * \rho}{c!(1-\rho)^2}$
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$L_q = \frac{\frac{1}{2} * \frac{20}{30}^2 * \frac{1}{3}}{2 * \frac{2}{3}^2}$
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$L_q = \frac{\frac{1}{2} * \frac{4}{9} * \frac{1}{3}}{\frac{8}{9}} = \frac{1}{12}$
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$L = L_q + \frac{\lambda}{\mu}$
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$L = \frac{1}{12} + \frac{2}{3}$
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$L = \frac{9}{12} = 0.75$
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*** E(t) sin usar little
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$W_q = \frac{L_q}{\lambda} = \frac{\frac{1}{12}}{20} = \frac{1}{240}$
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$W = W_q + \frac{1}{ \mu }$
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* MD1
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\lambda = 6000
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\mu = 8000
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\c = 1
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** RTA
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*** Encontrar E(n)
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*** Encontrar E(T)
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* Colas con prioridades
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en servicio hay clase 2(2min) y hay
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\left {
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\begin{array}{ccc}
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Clase 1 -> 2 personas \\
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Clase 2 -> 3 personas
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\end{array}
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** RTA
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b. T_q = 2 min + (2*8 min) = 18 min.
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a. T = T_q + 8min = 26min.
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