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A queuing system with a Poisson arrival rate and exponential service time has a single queue,...

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Basic Math

A queuing system with a Poisson arrival rate and exponentialservice time has a single queue, two servers, an average arrivalrate of 60 customers per hour, and an average service time of 1.5minutes per customer.

The manager is thinking of implementing additional queues toavoid an overloaded system. What is the minimum number ofadditional queues required? Explain.

How many additional servers are required to ensure theutilization is less than or equal to 50%? Explain.

If the manager loses a server, what service time would benecessary to ensure that the queue length is not at risk ofapproaching infinity? Explain.

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ANSWER From given data A queuing system with a Poisson arrival rate and exponential service time has a single queue two servers an average arrival rate of 60 customers per hour and an average service time of 15 minutes per customer Average arrival rate 60 customers per    See Answer
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