In the busy bank (Q2), Washington Mutual bank is considering opening more drive-thru windows to increase...

  

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In the busy bank (Q2), Washington Mutual bank is considering opening more drive-thru windows to increase capacity. Recall, in this busy location, customers arrive at an average of 1 every 2 minutes and each teller can still serve 20 customers an hour. Assume Poisson arrival times and Exponential service times. a) What is the optimal number of windows if they would like the probability of a customer waiting in a line to be less than 10%? What will the probability a customer will wait at your chosen staffing level? b) What is the optimal number of windows if each teller is paid $25 per hour and the bank has a marketing ploy that if anyone who waits more than 6 minutes will get $6. For reference Question 2 Washington Mutual bank is also deciding about opening a new drive-up location in a busier part of Seattle but with two drive- up windows. In this busier location, customers arrive at an average of 1 every 2 minutes (twice as busy as the prior location). Each bank teller can still serve 20 customers an hour. Assume Poisson arrival times and Exponential service times. a) What is the utilization of the bank tellers (together)? b) What is the average number of customers in the system? c) What is the average time spent in the system (from the time a customer enters the line through when the customer completes their transaction)? d) What is the probability of waiting in line longer than 5minutes? In the busy bank (Q2), Washington Mutual bank is considering opening more drive-thru windows to increase capacity. Recall, in this busy location, customers arrive at an average of 1 every 2 minutes and each teller can still serve 20 customers an hour. Assume Poisson arrival times and Exponential service times. a) What is the optimal number of windows if they would like the probability of a customer waiting in a line to be less than 10%? What will the probability a customer will wait at your chosen staffing level? b) What is the optimal number of windows if each teller is paid $25 per hour and the bank has a marketing ploy that if anyone who waits more than 6 minutes will get $6. For reference Question 2 Washington Mutual bank is also deciding about opening a new drive-up location in a busier part of Seattle but with two drive- up windows. In this busier location, customers arrive at an average of 1 every 2 minutes (twice as busy as the prior location). Each bank teller can still serve 20 customers an hour. Assume Poisson arrival times and Exponential service times. a) What is the utilization of the bank tellers (together)? b) What is the average number of customers in the system? c) What is the average time spent in the system (from the time a customer enters the line through when the customer completes their transaction)? d) What is the probability of waiting in line longer than 5minutes?

Answer rating: 100% (QA)

Quiz a We want the probability of a customer waiting in line to be less than 10 We can model this as a queueing system with Poisson arrivals and exponential service times If we let W be the number of ... View the full answer