Customers arrive randomly to an airport shoe-shine stand at a rate of 8 per hour. The average length of a shoeshine is 12 minutes. There are two attendants. Arriving customers who find both chairs occupied by othercustomers will wait only if NO customers are waiting. Assume that service times are exponentially distributed andthat the calling population is infinite. (a) VWhat is the queuing model? (b) To the nearest third decimal place, what isthe expected total time in steady state that a customer spends at the stand?O (M/M/2): (GD/2/infınity), 18.333 minutesO (M/G/2): (GD/infinity/infinity), 0.467 hoursnone of the other choicesO (M/M/2) : (GD/3/infinity), 0.233 hours

The detailed solution is given in Step 2.

Answered: Customers arrive randomly to an airport…

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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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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