(b) A supermarket has four girls ringing sales at the counters. If the service time for each customer is exponential with mean 4 minutes, and if people arrive in a Poisson fashion at the rate of 10 per hour, calculate i. The average number of customers in the system. The average time a customer spends in the system. The average queue length ii. iii.
(b) A supermarket has four girls ringing sales at the counters. If the service time for each customer is exponential with mean 4 minutes, and if people arrive in a Poisson fashion at the rate of 10 per hour, calculate i. The average number of customers in the system. The average time a customer spends in the system. The average queue length ii. iii.
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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Transcribed Image Text:(b) A supermarket has four girls ringing sales at the counters. If the service time for each
customer is exponential with mean 4 minutes, and if people arrive in a Poisson fashion at
the rate of 10 per hour, calculate
The average number of customers in the system.
The average time a customer spends in the system.
The average queue length
The average waiting time for customers.
The expected percentage of idle time for each girl
The probability that at least a girl is waiting for the customer.
i.
ii.
iii.
iv.
v.
vi.
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