Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 3P

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• D.3 Paul Fenster owns and manages a chili-dog and soft-drink stand near the Kean U. campus. While Paul can service 30 customers per hour on the average (μ), he gets only 20 customers per hour (λ). Because Paul could wait on 50% more customers than actually visit his stand, it doesn’t make sense to him that he should have any waiting lines.

Paul hires you to examine the situation and to determine some characteristics of his queue. After looking into the problem, you find it fallows the six conditions for a single-server waiting line (as seen in Model A). What are your findings?

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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 Regional Airlines is establishing a new telephone system for handling flight reservations. During the 10:00 AM to 2:00 PM time period, calls to the reservation agent occur randomly at an average rate of one call every 3.75 minutes. Historical service time data show that a reservation agent spends an average of 3 minutes with each customer. The waiting line model assumptions of Poisson arrivals and exponential service times appear reasonable for the telephone reservation system. At a planning meeting, Regional's management team agreed that an acceptable customer service goal is to answer at least 75% of the incoming calls immediately. During the planning meeting, Regional's vice president of administration pointed out that the data show that the average service rate for an agent is faster than the average arrival rate of the telephone calls. The vice president's conclusion was that personnel costs could be minimized by using one agent and that single agent must be able to…
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