The M/M/1 Queue : Introductory video
Before watching the video read the questions below. As you watch the video try to answer them
Questions
- Write out the transition graph for an M/M/1 Queue with finite capacity
- Write out the jump rate matrix for an M/M/1 Queue with infinite capacity
- How do you determine the stationary distribution of a continuous time Markov chain.
- Explain why the Poisson process does not have a stationary distribution.
- Calculate the fourth element of the stationary distribution vector $\pi$ for an M/M/1 Queue.
- Explain why the zeroth element of the stationary distributin vector $\pi_0$ is given by $\pi_0 = \left( 1 - \frac{\lambda}{\mu} \right)$.
- Write out the transition graph for an M/M/1 Queue with finite capacity
- Write out the jump rate matrix for an M/M/1 Queue with infinite capacity
- How do you determine the stationary distribution of a continuous time Markov chain.
- Explain why the Poisson process does not have a stationary distribution.
- Calculate the fourth element of the stationary distribution vector $\pi$ for an M/M/1 Queue.
- Explain why the zeroth element of the stationary distributin vector $\pi_0$ is given by $\pi_0 = \left( 1 - \frac{\lambda}{\mu} \right)$.