McBurger fastfood has 3 cashiers. Customers arrive accd'g to a Poisson distribution every 3 mins and form one line to be served by the first available cashier. The time to fill an order is exponentially distributed with a mean of 5 mins. The waiting room inside the restaurant is limited. However, the food is good, and customers are willing to line up outside the restaurant, if necessary. Determine the size of the waiting room inside the restaurant (excluding those at the cashiers) such that the probability that an arriving customer does not wait outside the restaurant is at least 0.999.
McBurger fastfood has 3 cashiers. Customers arrive accd'g to a Poisson distribution every 3 mins and form one line to be served by the first available cashier. The time to fill an order is exponentially distributed with a mean of 5 mins. The waiting room inside the restaurant is limited. However, the food is good, and customers are willing to line up outside the restaurant, if necessary. Determine the size of the waiting room inside the restaurant (excluding those at the cashiers) such that the probability that an arriving customer does not wait outside the restaurant is at least 0.999.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Case #3 of Queueing Theory
Transcribed Image Text:Prob Set 15.6E #5
McBurger fastfood has 3 cashiers. Customers arrive accd'g to a Poisson distribution every 3 mins and
form one line to be served by the first available cashier. The time to fill an order is exponentially
distributed with a mean of 5 mins. The waiting room inside the restaurant is limited. However, the food is
good, and customers are willing to line up outside the restaurant, if necessary. Determine the size of the
waiting room inside the restaurant (excluding those at the cashiers) such that the probability that an
arriving customer does not wait outside the restaurant is at least 0.999.
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