A cafeteria can seat a maximum of 20 persons. Each customer arrives in a Poisson stream with mean value 4 minutes. They are serviced at the rate of 10 per hour. For simplicity, assume that customers are serviced one at a time by one waiter. a) What is the probability that next customer will not eat in the cafeteria because it is full? b) Determine the expected waiting time until a customer can place his order;
A cafeteria can seat a maximum of 20 persons. Each customer arrives in a Poisson stream with mean value 4 minutes. They are serviced at the rate of 10 per hour. For simplicity, assume that customers are serviced one at a time by one waiter. a) What is the probability that next customer will not eat in the cafeteria because it is full? b) Determine the expected waiting time until a customer can place his order;
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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A cafeteria can seat a maximum of 20 persons. Each customer arrives in a Poisson stream with mean value 4 minutes. They are serviced at the rate of 10 per hour. For simplicity, assume that customers are serviced one at a time by one waiter.
a) What is the probability that next customer will not eat in the cafeteria because it is full?
b) Determine the expected waiting time until a customer can place his order;
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