diff --git a/Modelar/cheatsheet2.org b/Modelar/cheatsheet2.org new file mode 100644 index 0000000..2f9bb93 --- /dev/null +++ b/Modelar/cheatsheet2.org @@ -0,0 +1,31 @@ +#+options: toc:nil author:nil date:nil + +* MG1 +| Utilizacion | $\rho = \lambda * E(S) = \frac{\lambda}{\mu}$ | +| Estabilidad | $\boxed{\rho < 1} o \boxed{\lambda<\mu}$ | +| Segundo Momento | $E(S^2) = \sigma^2_S + \frac{1}{\mu^2}$ | +| Tiempo en cola | $W_q = \frac{\lambda * E(S^2)}{2(1-\rho)}$ | +| Tiempo en sistema | $W = W_q + \frac{1}{\mu}$ | +| Clientes en cola | $L_q = \lambda * W_q$ | +| Clientes en sistema | $L = \lambda * W$ | + +* MM2 +| Utilizacion | $\rho = \frac{\lambda}{2 * \mu}$ | +| Estabilidad | $\boxed{\rho < 1} o \boxed{\lambda < 2* \mu}$ | +| Probabilidad de sistema vacio | $P_0 = [1 +\frac{\lambda}{\mu} + \frac{(\lambda / \mu)^2}{2(1-\rho)}]^{-1}$ | +| Probabilidad de esperar | $P_w = \frac{(\lambda/\mu)^2}{2(1-\rho)} * P_0$ | +| Clientes en cola | $L_q = \frac{P_0 * (\lambda/\mu)^2 * \rho}{2 * (1 - \rho)^2}$ | +| Tiempo en cola | $W_q = \frac{L_q}{\lambda}$ | +| Tiempo en sistema | $W = W_q + \frac{1}{\mu}$ | +| Clientes en sistema | $L = \lambda * W$ | +| Criticidad | $\lambda_{crit} = c*\mu = 2*\mu | + +* MD1 +| Utilizacion | $\rho = \frac{\lambda}{\mu}$ | +| Estabilidad | $\boxed{\rho < 1} o \boxed{\lambda<\mu}$ | +| Tiempo medio de servicio | $E(S) = \frac{1}{\mu}$ | +| Tiempo en cola | $W_q = \frac{\lambda}{2*\mu^2*(1-\rho)}$ | +| Tiempo en sistema | $W = W_q + \frac{1}{\mu}$ | +| Clientes en cola | $L_q = \lambda * W_q$ | +| Clientes en sistema | $L = \lambda * W$ | + diff --git a/Modelar/cheatsheet2.pdf b/Modelar/cheatsheet2.pdf new file mode 100644 index 0000000..0dd245f Binary files /dev/null and b/Modelar/cheatsheet2.pdf differ