SOLVED PROBLEMS

Problem 9.1 [Case of Sales Counter]

Customers arrive at a sales counter manned by a single person according to a poisson process with a mean rate of 20 per hour. The time required to serve a customer has an exponential distribution with a mean of 100 seconds. Find the average waiting time of a customer.

Solution

Arrival rate = λ = 20 customers per hour

Service rate = μ = ch9-ueq21 = 36 customers per hour

The average waiting time of a customer in the queue ch9-ueq22

        

The average waiting time of a customer in the system

        

Problem 9.2 [Case ...

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