The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested: (a) Give the average utilization of the service system with the three tellers. b) What is the probability of arriving at the bank with no one there? c) What is the average number of customers waiting in line? d) On average how long does a customer wait in line to be served? e) On average how many customers would be served at a teller and waiting in line?

The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested: (a) Give the average utilization of the service system with the three tellers. b) What is the probability of arriving at the bank with no one there? c) What is the average number of customers waiting in line? d) On average how long does a customer wait in line to be served? e) On average how many customers would be served at a teller and waiting in line?

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 9P

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