OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
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Chapter 16, Problem 4PA
Summary Introduction
To determine: The average waiting time for the customers who arrive in this period.
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During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find:
(a) The average number of customers waiting for service if 5 clerks are used.
(b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes.
(c) If clerk cost is $40 per hour and customer waiting time represents a “cost” of $30 per hour, how many clerks can be justified on a cost basis? Please show work.
A supermarket manager notices that there are 20 customers at the checkouts andalso knows that arrivals to the checkout at that time of day are at a rate of abouttwo per minute. About how long are customers spending in the checkout process(queueing and being served) on average?
Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4 minutes to prepare a complete license. The interarrival time between two drivers is 6 minutes distributed exponential.
a) What type of queuing model this system follow ?
b) Determine the average length of the waiting line.
c) Determine the average waiting time.
Chapter 16 Solutions
OPERATIONS MANAGEMENT
Ch. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - Prob. 4CQCh. 16 - Which of the following best reflects pooling...Ch. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 1PACh. 16 - Prob. 2PACh. 16 - Prob. 3PA
Ch. 16 - Prob. 4PACh. 16 - Prob. 5PACh. 16 - Prob. 6PACh. 16 - Prob. 7PACh. 16 - Prob. 8PACh. 16 - Prob. 11PACh. 16 - Prob. 12PACh. 16 - Prob. 13PACh. 16 - Prob. 14PACh. 16 - Prob. 15PACh. 16 - Prob. 16PACh. 16 - Prob. 17PACh. 16 - Prob. 18PACh. 16 - Prob. 19PACh. 16 - Prob. 20PACh. 16 - Prob. 21PACh. 16 - Prob. 22PA
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