A supermarket is trying to decide how many cashregisters to keep open. Suppose an average of 18customers arrive each hour, and the average checkouttime for a customer is four minutes. Interarrival timesand service times are exponentially distributed, andthe system can be modeled as an MyMys system.(In contrast to the situation at most supermarkets,we assume that all customers wait in a single line.)It costs $20 per hour to operate a cash register,and a cost of $0.25 is assessed for each minute thecustomer spends in the queue. How many registersshould the store open to minimize the expectedhourly cost?
A supermarket is trying to decide how many cashregisters to keep open. Suppose an average of 18customers arrive each hour, and the average checkouttime for a customer is four minutes. Interarrival timesand service times are exponentially distributed, andthe system can be modeled as an MyMys system.(In contrast to the situation at most supermarkets,we assume that all customers wait in a single line.)It costs $20 per hour to operate a cash register,and a cost of $0.25 is assessed for each minute thecustomer spends in the queue. How many registersshould the store open to minimize the expectedhourly cost?
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
A supermarket is trying to decide how many cash
registers to keep open. Suppose an average of 18
customers arrive each hour, and the average checkout
time for a customer is four minutes. Interarrival times
and service times are exponentially distributed, and
the system can be modeled as an MyMys system.
(In contrast to the situation at most supermarkets,
we assume that all customers wait in a single line.)
It costs $20 per hour to operate a cash register,
and a cost of $0.25 is assessed for each minute the
customer spends in the queue. How many registers
should the store open to minimize the expected
hourly cost?
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