RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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RideShare offers short-term rentals of vehicles that are kept in small lots in urban
neighborhoods with plenty of potential customers. With one lot, it has eight cars. The
interarrival time of potential demand for this lot from its base of customers is 40 minutes.
The average rental period is five hours. If a customer checks availability of vehicles in this
lot online and finds that they are all rented for the desired time, the customer skips renting
and finds alternative arrangements. However, because customers pay a monthly fee to
subscribe to this service, RideShare does not want customers to be disappointed too often.
a. What is the offered load?
b. What is the implied utilization?
c. What is the capacity of the process (rentals per hour)?
d. What is the probability that all eight cars are rented at the same time?
e. How many customers are served every hour?
f. What is the utilization of the cars?
g. How many cars should it have in this lot to ensure that it serves at least 90 percent of
demand?

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