Bank Teller I Customers arrive at the bank and enter a queue to wait for the single teller. Once they reach the teller, each perform his transaction. The time between customers' arrivals is exponentially distributed with a mean of 10 minutes. The travel times from the entrance to the teller queue and from the teller to the exit are both 1 minute. All teller transaction times are exponentially distributed with a mean of 6 minutes. a) Draw the flow process chart b) Use the mathematical calculation of queuing theory to calculate the teller’s utilization, total time spent in a system for each customer, number of customers in teller queue, and waiting time in teller queue. Show all calculations.
Bank Teller I Customers arrive at the bank and enter a queue to wait for the single teller. Once they reach the teller, each perform his transaction. The time between customers' arrivals is exponentially distributed with a mean of 10 minutes. The travel times from the entrance to the teller queue and from the teller to the exit are both 1 minute. All teller transaction times are exponentially distributed with a mean of 6 minutes. a) Draw the flow process chart b) Use the mathematical calculation of queuing theory to calculate the teller’s utilization, total time spent in a system for each customer, number of customers in teller queue, and waiting time in teller queue. Show all calculations.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Bank Teller I
Customers arrive at the bank and enter a queue to wait for the single teller. Once they reach the teller, each perform his transaction. The time between customers' arrivals is exponentially distributed with a mean of 10 minutes. The travel times from the entrance to the teller queue and from the teller to the exit are both 1 minute. All teller transaction times are exponentially distributed with a mean of 6 minutes.
a) Draw the flow process chart
b) Use the mathematical calculation of queuing theory to calculate the teller’s utilization, total time spent in a system for each customer, number of customers in teller queue, and waiting time in teller queue. Show all calculations.
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