Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 14P
a)
Summary Introduction
To determine: The average waiting time in the line.
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: The average number of people waiting in line.
c)
Summary Introduction
To determine: The average waiting time in the line.
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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?
QUESTION 10
MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a
Poisson distribution, and service times are on average equal to 16 minutes per customer.
What is the number of customers waiting in the queue on average?
O&1.333
Ob.4.0
Oc.0.952
Od32
O.0.152
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).
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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