Calculate average time in line and in system

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Reference no: EM132253594

The manager of the Radford Credit Union (RCU) wants to determine how to manage the waiting lines during the peak demand time in its lobby from 11 am to 2 pm. RCU currently has 3 full-time tellers that serve customers waiting in a common line. The manager at RCU has determined that customers arrive according to a Poisson distribution with an average of 60 arrivals per hour during the peak period. Each teller services customers at a rate of 24 per hour also Poisson distributed.

The manager is considering another configuration: having customers form a line in front of each teller. Arriving customers would choose a line at random and stay in that line (this means that in the long run, arrivals get equally divided among the three lines). They would not be allowed to crossover to other lines. Similar a teller who is idle would not serve customers from another line.

For each of these two configurations, calculate average time in line and in system, number of customers in line and in system, utilization of individual tellers, and the probability that an arriving customer has to wait.

As a customer which of these two configurations would you prefer?

Reference no: EM132253594

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