Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter D, Problem 23P
a)
Summary Introduction
To determine: The optimal number of server for the system.
b)
Summary Introduction
To determine: The cost of the system at the usage of optimal number of servers.
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QUESTION 1
A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per
hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater
than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading?
A. 3
B. 2
C. 4
D. 1
QUESTION 2
Customers arrive at the lone check-out desk of a certain convenience store at the average rate of 0.23 per minute. If it takes on average four minutes for
the store manager to serve each customer, how many customers will on average find themselves waiting in the queue?
A. 3.20
B. 0.00351
C. 0.00024
D. 10.58
QUESTION 5
A post office has a counter for customers' drive-through to get the services. The design of the
drive-through lane allows for unlimited queue length. The arrival and service rate are Poisson
distributed with A= 20 customers per hour arriving on average and u=25 customers per hour can
be served on average.
a) Compute the average number of arrivals.
b) Compute the average time a customer waits.
c) Compute the average number of arrivals in the system.
d) Compute the average time a customer is in the system.
e) Compute the probability that less than or equal to 3 customers are in the system.
f) If the single counter for the customer drive-through has been replaced with the automatic
operation, service rates are constant with A= 20 and u =25. Compute (a), (b), (c) and (d).
Question 8.2
A fabric factory has 5 weaving machines in use. These weaving machines need repair after about 20
hours of use. Breakdowns have been determined to be Poisson distributed. Jim, the maintenance
worker can service a weaving machine in an average of 2 hours, following an exponential distribution.
Weaving machine downtime costs $120 per hour. Jim is paid $25 per hour.
a) What is the average time a weaving machine is waiting to be repaired?
b) What is the average number of weaving machines in the repairing area?
c) What is the total hourly costs?
Chapter D Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
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 - Prob. 25PCh. D - Prob. 26PCh. D - Prob. 27PCh. D - Prob. 28PCh. D - Prob. 29PCh. D - Prob. 30PCh. 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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