Operations Management: Sustainability and Supply Chain Management (12th Edition)
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 19P

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••• D.19 One mechanic services 5 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 6 working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repairs follow an exponential distribution.

  1. a. On the average, how many machines are waiting for service?
  2. b. On the average, how many drills are in running order?
  3. c. How much would waiting time be reduced if a second mechanic were hired?
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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 related to gueing theory don't copy In a restaurant, two types of foods are available. Arival rate of customers is 26 per hour Poisson and average service time is 6 minutes exponential. The arriving customers can be served in three ways. The first way is to open two separate counters for the two types of foods. The second way is to pool the services, and offer both types of foods in both the counters. The third way is to open a large number (0) of self-service counters for the customers. Which way will lead to the maximum busy period of the system? wwm
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

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