Angkut Deras Hauling Company has two long-trip cars rental services inclusive with a driver at Kota Kinabalu International Airport. The company has determine during the late-evening hours on weekend, customers request driver for cars rental at a rate that follows the Poisson distribution with a mean of 0.8 per hour. Travel and assistance time is exponential with a mean of 1 request per hour. Find each of the performance measures of this waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company? b) Probability that both drivers will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a driver. e) What is the customers average waiting time on arrival?

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
Problem 9P
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Angkut Deras Hauling Company has two long-trip cars rental services
inclusive with a driver at Kota Kinabalu International Airport. The company
has determine during the late-evening hours on weekend, customers
request driver for cars rental at a rate that follows the Poisson distribution
with a mean of 0.8 per hour. Travel and assistance time is exponential with
a mean of 1 request per hour. Find each of the performance measures of
this waiting line system.


a) What is the system utilization rate for Angkut Deras Hauling Company?
b) Probability that both drivers will be busy when a customer request.
c) The average number of customer waiting in line.
d) The average time customers wait for a driver.
e) What is the customers average waiting time on arrival?

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