The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. How long in minutes would it take the customer from lining up until he leaves the waiting line? b.How long in minutes would a customer wait to be served on average? c.Find the probability that there are 7 customers in the system.
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. How long in minutes would it take the customer from lining up until he leaves the waiting line? b.How long in minutes would a customer wait to be served on average? c.Find the probability that there are 7 customers in the system.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server.
a. How long in minutes would it take the customer from lining up until he leaves the waiting line?
b.How long in minutes would a customer wait to be served on average?
c.Find the probability that there are 7 customers in the system.
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