Melanie is the manager of the Clean Machine car washand has gathered the following information. Customers arriveat a rate of eight per hour according to a Poisson distribution.Th e car washer can service an average of ten cars per hour withservice times described by an exponential distribution. Melanie isconcerned about the number of customers waiting in line. She hasasked you to calculate the following system characteristics:(a) Average system utilization(b) Average number of customers in the system(c) Average number of customers waiting in line

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Melanie is the manager of the Clean Machine car wash
and has gathered the following information. Customers arrive
at a rate of eight per hour according to a Poisson distribution.
Th e car washer can service an average of ten cars per hour with
service times described by an exponential distribution. Melanie is
concerned about the number of customers waiting in line. She has
asked you to calculate the following system characteristics:
(a) Average system utilization
(b) Average number of customers in the system
(c) Average number of customers waiting in line

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