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 9P
Question
• • D.9 Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average of 10 customers per hour arrive at the bank to transact business. There is currently one teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times may be described by the exponential distribution. If a single teller is used, find:
- a. The average time in the line.
- b. The average number in the line.
- c. The average time in the system.
- d. The average number in the system.
- e. The probability that the bank is empty.
- f. CEO Benjamin Neve is considering adding a second teller (who would work at the same rate as the first) to reduce the waiting time for customers. A single line would be used, and the customer at the front of the line would go to the first available bank teller. He assumes that this will cut the waiting time in half. If a second teller is added, find the new answers to parts (a) to (e).
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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).
Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean
rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2
minutes per unit (exponentially distributed). The manufacturing company estimates that each
unit of in process inventory at the workstation costs $31 per day (on the average). However, the
company can add extra employees and reduce the processing time to 0.90 minute per unit at a
cost of $52 per day. Determine whether the company should continue the present operation or
add extra employees.
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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