Calculate average waiting time for ATM user at the BBT location 2. Calculate average length of queue at the ATM location (i.e. average numbers of customers waiting for service)? 3. What is the probability that an arriving customer has no waiting time to use the ATM?
Customers arrive at Best-Bank-in-Town’s (BBT) sole ATM location at a rate of 21 customers per hour. It is assumed that the arrival process is random. BBT recently hired an intern who estimated that the average service time is 2 minutes per customer with a standard deviation of 1.2 minutes. [Assume that the arrival rate is the same throughout the day without peak and off-peak considerations and that there is only one ATM machine at that location]
1. Calculate average waiting time for ATM user at the BBT location
2. Calculate average length of queue at the ATM location (i.e. average numbers of customers waiting for service)?
3. What is the probability that an arriving customer has no waiting time to use the ATM?
4. BBT wants to cut the average waiting time in half without necessarily adding another ATM machine. They are in discussions with their ATM software provider who has told them that their new software is very consistent with information retrieval and can greatly minimize the standard deviation of the ATM machine. Assume then that the std dev for service time can be brought down to zero but that the mean service time is unchanged. Will BBT achieve its desired objective of cutting the average waiting time in half?
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