Podcast Beta
Questions and Answers
What is the condition for stability in the M/M/1 queue?
The condition for stability in the M/M/1 queue is $\rho = \frac{\lambda}{\mu} < 1$, where $\lambda$ is the arrival rate and $\mu$ is the service rate.
How can the number of jobs in the system in the M/M/1 queue be modeled?
The number of jobs in the system in the M/M/1 queue can be modeled as a CTMC (Continuous Time Markov Chain), specifically a birth and death process.
What is the queuing system considered in the context of this text?
The queuing system considered in the context of this text is a single station single class work-conserving queuing system with an exponential distribution of inter-arrival times and service times.