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+
+#+title:     Otra Presentacion más
+#+author:    Fede
+#+email:     federico.nicolas.polidoro@gmail.com
+
+* 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
+\lambda = 6000
+\mu = 8000
+\c = 1
+
+** RTA
+*** Encontrar  E(n)
+
+
+*** Encontrar  E(T)
+
+
+* Colas con prioridades
+en servicio hay clase 2(2min) y hay
+
+\left {
+\begin{array}{ccc}
+Clase 1 -> 2 personas \\
+Clase 2 -> 3 personas
+
+\end{array}
+
+** RTA
+b. T_q = 2 min + (2*8 min) = 18 min.
+
+a. T = T_q + 8min = 26min.
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