When customers arrive at Gilley’s Ice Cream Shop, theytake a number and wait to be called to purchase ice creamfrom one of the counter servers. From experience in pastsummers, the store’s staff knows that customers arrive atthe rate of 35 per hour (Poisson distributed) on summerdays between 3:00 P.M. and 10:00 P.M. and a server canserve 15 customers per hour on average (Poisson distributed). Gilley’s wants to make sure that customers wait nolonger than 5 minutes for service. Gilley’s is contemplatingkeeping three servers behind the ice cream counter duringthe peak summer hours. Will this number be adequate tomeet the waiting time policy?
When customers arrive at Gilley’s Ice Cream Shop, theytake a number and wait to be called to purchase ice creamfrom one of the counter servers. From experience in pastsummers, the store’s staff knows that customers arrive atthe rate of 35 per hour (Poisson distributed) on summerdays between 3:00 P.M. and 10:00 P.M. and a server canserve 15 customers per hour on average (Poisson distributed). Gilley’s wants to make sure that customers wait nolonger than 5 minutes for service. Gilley’s is contemplatingkeeping three servers behind the ice cream counter duringthe peak summer hours. Will this number be adequate tomeet the waiting time policy?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
When customers arrive at Gilley’s Ice Cream Shop, they
take a number and wait to be called to purchase ice cream
from one of the counter servers. From experience in past
summers, the store’s staff knows that customers arrive at
the rate of 35 per hour (Poisson distributed) on summer
days between 3:00 P.M. and 10:00 P.M. and a server can
serve 15 customers per hour on average (Poisson distributed). Gilley’s wants to make sure that customers wait no
longer than 5 minutes for service. Gilley’s is contemplating
keeping three servers behind the ice cream counter during
the peak summer hours. Will this number be adequate to
meet the waiting time policy?
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