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Questions and Answers
What is the condition for stability in the M/M/1 queue?
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?
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?
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.
