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M/M/1 Queue and Production Systems Quiz
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M/M/1 Queue and Production Systems Quiz

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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.

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