An ice cream truck is parked at a local beach and customers queue up to buy icecreams at a rate of one per minute. The arrival pattern of people buying ice cream isessentially random. It takes 40 seconds on average to serve a customer ice cream, witha standard deviation of 20 seconds. Find the following expected measures of performance for this system: the expected time in the queue for ice cream, the expected totaltime to get an ice cream, and the expected number of customers waiting for ice cream.

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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An ice cream truck is parked at a local beach and customers queue up to buy ice
creams at a rate of one per minute. The arrival pattern of people buying ice cream is
essentially random. It takes 40 seconds on average to serve a customer ice cream, with
a standard deviation of 20 seconds. Find the following expected measures of performance for this system: the expected time in the queue for ice cream, the expected total
time to get an ice cream, and the expected number of customers waiting for ice cream.

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