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M/M/2
banco con dos cajeros. arribos $\lambda$ = 20 cli/h, servicio: $\mu$ = 30. Encontrar E(n) y E(t)
RTA
encontrar L o E(n)
$\rho = \frac{\lambda}{2*\mu}$
$\rho = \frac{20}{2*30} = \frac{20}{60} = 0,33$
$P_0 = (1-\rho) /(1+\rho) = \frac{2/3}{4/3} = \frac{1}{2}$
$L_q = \frac{P_0 * (\lambda / \mu)^c * \rho}{c!(1-\rho)^2}$
$L_q = \frac{\frac{1}{2} * \frac{20}{30}^2 * \frac{1}{3}}{2 * \frac{2}{3}^2}$
$L_q = \frac{\frac{1}{2} * \frac{4}{9} * \frac{1}{3}}{\frac{8}{9}} = \frac{1}{12}$
$L = L_q + \frac{\lambda}{\mu}$
$L = \frac{1}{12} + \frac{2}{3}$
$L = \frac{9}{12} = 0.75$
E(t) sin usar little
$W_q = \frac{L_q}{\lambda} = \frac{\frac{1}{12}}{20} = \frac{1}{240}$
$W = W_q + \frac{1}{ \mu }$
MD1
λ = 6000 μ = 8000 \c = 1
RTA
Encontrar E(n)
Encontrar E(T)
Colas con prioridades
en servicio hay clase 2(2min) y hay
≤ft {
\begin{array}{ccc}
Clase 1 -> 2 personas
Clase 2 -> 3 personas
\end{array}
RTA
- T_q = 2 min + (2*8 min) = 18 min.
- T = T_q + 8min = 26min.