You are the manager of a local bank where three tellers provide services to customers. On average, each teller takesfour minutes to serve a customer. Customers arrive, on average, at a rate of 40 per hour. Having recently receivedcomplaints from some customers that they waited a long time before being served, your boss asks you to evaluate theservice system. Specifically, you must provide answers to the following questions:a. The average utilization of the three-teller service system is p= 0.8889. (Enter your response rounded to fourdecimal places.)b. The probability that no customers are being served by a teller or are waiting in line is Po= 0.0280. (Enter yourresponse rounded to four decimal places.)c. The average number of customers waiting in line is L₁ = customers. (Enter your response rounded to one decimalplace.)

Given data is Arrival rate (lambda) = 40 per hour Service rate = 4 minutes per customer Service…

Answered: You are the manager of a local bank…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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?
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Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is six trucks per hour. Use the Single Server QueueExcel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
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