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Suppose that the number of customers in a small shop may be modeled by a Bernoulli Single-Server Queuing Process with a frame size of 0.2

Suppose that the number of customers in a small shop may be modeled by a Bernoulli Single-Server Queuing Process with a frame size of 0.2

minutes. Assume the capacity equals 2 maximum (that is, the number of people in the shop is 0, 1, or 2). The average arrival rate equals 2

per minute. The average service rate equals 4 per minute.

Set up the Markov chain transition matrix and find the long-term forecast. How often will the shop be empty?

How often will the shop be at full capacity?

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