uses the following schedule to determine the number of counters in operation, depending on the number of customers in line: Number of customers in store Number of counters in operation 1 to 3 1 4 to 6 2 More than 6 3 Customers arrive in the counters area according to a Poisson distribution with a mean rate of 10 customers per hour. The average checkout time per customer is exponential with mean 12 minutes. i. Determine the steady state probability Pn of n customers in the checked out area. The Probability that an arriving customer will not wait. ii. ii. The Probability that all three counters will be in use.

uses the following schedule to determine the number of counters in operation, depending on the number of customers in line: Number of customers in store Number of counters in operation 1 to 3 1 4 to 6 2 More than 6 3 Customers arrive in the counters area according to a Poisson distribution with a mean rate of 10 customers per hour. The average checkout time per customer is exponential with mean 12 minutes. i. Determine the steady state probability Pn of n customers in the checked out area. The Probability that an arriving customer will not wait. ii. ii. The Probability that all three counters will be in use.

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 18P

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