Question: Customers arrive one at a time, completely at random at an ATM at the rate of six per hour. Customers take an average of 4

Customers arrive one at a time, completely at random at an

Customers arrive one at a time, completely at random at an ATM at the rate of six per hour. Customers take an average of 4 minutes to complete their transactions. However, ATM tasks are highly variable ranging from simple withdrawals to complex deposits; thus, service times may be considered truly random. Customers queue up on a first-come, first-served basis and no customers leave without service. Assume there is only one ATM. 1. Find the following expected measures of performance for this system: the expected number of customers in the system, the expected number of customers waiting for service, the expected waiting time in the system, and the expected waiting time in the queue. 2. What is the probability there are more than five people in the system at a random point in time? 3. What is the probability that the waiting time in the system exceeds 10 minutes? 4. Given these results, do you think that management should consider adding another ATM

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To address these questions we assume the system can be described by an MM1 queue where arrivals occur according to a Poisson process service times are ... View full answer

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