HDFC Bank has a single automated teller machine (ATM) located in a shopping center. Data were collected during a period of peak usage on Saturday afternoon and it was found that the average time between customers arrivals is 3.6minutes with a standard deviation of 0.7minute.lt also was found it takes an average of 2.8minutes (with a standard deviation of 1.9minutes) for a customer to complete a transaction. (a) Calculate expected customer arrival rate & service rate per server? (b) Calculate the expected server utilization? (c) Approximately how long will customers need to wait in line during the peak usage period

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 26P
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HDFC Bank has a single automated teller machine (ATM) located in a shopping center. Data were collected during a period of peak usage on Saturday afternoon and it was found that the average time between customers arrivals is 3.6minutes with a standard deviation of 0.7minute.lt also was found it takes an average of 2.8minutes (with a standard deviation of 1.9minutes) for a customer to complete a transaction.

(a) Calculate expected customer arrival rate & service rate per server?

(b) Calculate the expected server utilization?

(c) Approximately how long will customers need to wait in line during the peak usage period?

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