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In: Statistics and Probability

1. A single-server queueing system has an average service time of 16 minutes per customer, which...

1. A single-server queueing system has an average service time of 16 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 16 minutes. The arrival rate will remain the same. The effect will be to:

increase the utilization factor.

decrease the utilization factor.

decrease the average time in the system.

Increase the average time in the system.

not have any effect since the service time is unchanged.

2). During the early morning hours, customers arrive at a branch post office at the average rate of 45 per hour (exponential interarrival times), while clerks can handle transactions on an average of 4 minutes each (exponential). What is the minimum number of clerks needed to keep the average time in the system under 5 minutes?

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Expert Solution

orchestra answered 1 year ago
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