Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 5P
a)
Summary Introduction
To determine: The average number of prescription in the queue.
Introduction: The mathematical study which analyses the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.
b)
Summary Introduction
To determine: Average time spent by the prescription in the queue.
c)
Summary Introduction
To determine: The average number of prescriptions and average time spent by prescription in the queue when an additional personnel is used to fill the form.
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Question 4
A petrol station in the capital Kingstown has a single pump manned by one attendant.
Vehicles arrive at the rate of 20 customers per hour and petrol filling takes 2 minutes on an
average. Assume the arrival rate is Poisson probability distribution and service rate is
exponentially distributed. Arrivals tend to follow a Poisson distribution, and service times
tend to be exponential. The attendant is paid $10 per hour, but because of lost goodwill and
sales, station loses about $15 per hour of customer time spent waiting for the attendant to
service and order.
Part A
Answer the following questions based on single channel model:
a. What is the probability that no customers are in the system (Po)?!
b. What is the average number of customers waiting for service (Lq)?
c. What is the average number of customers in the system (L)?…………..
d. What is the average time a customer waits for service (Wq)?!
e. What is the average time in the system (W)?❤❤
s
f. What is the probability that a…
Question 8
(Atlantic Video) Atlantic Video, a small video rental store in Philadelphia, is open 24 hours a
day, and—due to its proximity to a major business school—experiences customers arriving
around the clock. A recent analysis done by the store manager indicates that there are 30
customers arriving every hour, with a standard deviation of interarrival times of 2 minutes. This
arrival pattern is consistent and is independent of the time of day. The checkout is currently
operated by one employee, who needs on average 1.7 minutes to check out a customer. The
standard deviation of this check-out time is 3 minutes, primarily as a result of customers taking
home different numbers of videos.
a. If you assume that every customer rents at least one video (i.e., has to go to the
checkout), what is the average time a customer has to wait in line before getting served
by the checkout employee, not including the actual checkout time (within 1 minute)?
b. If there are no customers requiring…
Chapter D Solutions
Operations Management
Ch. D - Prob. 1DQCh. D - Prob. 2DQCh. D - Question 3. Name the three factors that govern the...Ch. D - Prob. 4DQCh. D - Prob. 5DQCh. D - Prob. 6DQCh. D - Prob. 7DQCh. D - Prob. 8DQCh. D - Prob. 9DQCh. D - Question 10. Describe the behavior of a waiting...
Ch. D - Question 11. Discuss 1he likely outcome of a...Ch. D - Prob. 12DQCh. D - Prob. 13DQCh. D - Prob. 14DQCh. D - Question 15. What happens if two single-server...Ch. D - Prob. 16DQCh. D - Prob. 17DQCh. D - Prob. 1PCh. D - Prob. 2PCh. D - Question D.3 Paul Fenster owns and manages a...Ch. D - Prob. 4PCh. D - Prob. 5PCh. D - Prob. 6PCh. D - Question D.7 Automobiles arrive at the...Ch. D - Question D.8 Virginias Ron McPherson Electronics...Ch. D - Question D.9 Neve Commercial Bank is the only...Ch. D - Question D.10 Beate Klingenberg manages a...Ch. D - Question D.11 Bill Youngdahl has been collecting...Ch. D - Question D.12 The wheat harvesting season in the...Ch. D - Prob. 13PCh. D - Prob. 14PCh. D - Prob. 15PCh. D - Prob. 16PCh. D - Prob. 17PCh. D - Prob. 18PCh. D - Question D.19 One mechanic services 5 drilling...Ch. D - Prob. 20PCh. D - Prob. 21PCh. D - Prob. 22PCh. D - Prob. 23PCh. D - Prob. 24PCh. D - Question New England Foundry For more than 75...Ch. D - Prob. 1.2CSCh. D - New England Foundry For more than 75 years, New...Ch. D - Question The Winter Park Hotel Lori Cook, manager...Ch. D - Question The Winter Park Hotel Lori Cook, manager...
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