Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 21PA
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To determine: The outcomes that would occur due to the change.
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In short, define three cases in which the first-in, first-out (FIFO) concept in queuing analytics is not valid.
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- A server operates with 80 % utilization. Coefficient of variation of service process is 0.5. Coefficient of variation of arrival process is 0.9. Average processing fime is 3 minutes. What is the average time a customer spends in the system using the single server queueing model 7 Show all formulas used, calculations and results.arrow_forwardAnswer the following questions. Answers are listed at the end of this section.1. The queuing models assume that customers are served in what order?2. Consider two identical queuing systems except for the service time distribution. In the first system, the service time is random and Poisson distributed. The service time is constant in the second system. How would the waiting time differ in the two systems?3. What is the average utilization of the servers in a system that has three servers? On average, 15 customers arrive every 15 minutes. It takes a server exactly three minutes to wait on each customer.4. What is the expected waiting time for the system described in question 3?5. Firms that desire high service levels where customers have short wait times should target server utilization levels at no more than this percentage.arrow_forward7. What is the difference between Balking and Reneging? 8. Which of the following waiting lines do you prefer and why? Single-Queue, Multiple-Channel System Structure (Fig 5.8 in text) Multiple-Queue, Multiple-Channel System Structure (Fig 5.9 in text) 9. An easy way to understand Queuing Model formulas is to understand that L refers to Number of items while W refers to time. q refers to the queue and s refers to the system. So Lq refers to the number of units in the queue (waiting line). Ls refers to the number of items in the system (queue and service). Write out the formulas for the following: a. Average Wait time in the Queue b. Average Wait time in the System c. Average number of units in the Queue d. Average number of units in the System e. System utilization f. Probability of zero customers in the systemarrow_forward
- Mr. Bader is a regular visitor at Muscat Private Hospital for his aged mother’s treatment. Which type of queuing system is Mr. Bader likely to encounter in a hospital? a. Multi-channel, single phase. b. Single channel, multi-phase. c. Multi-channel, multi-phase. d. Single channel, single phase.arrow_forwardRepair calls are handled by one repairman at a photocopy shop. Repair time, including traveltime, is exponentially distributed, with a mean of two hours per call. Requests for copierrepairs come in at a mean rate of three per eight-hour day (assume Poisson).A) Identify the Queuing Model and sketch the system.B) What is the arrival rate?C) What is the service rate?D) What is the average number of customers awaiting repairs?arrow_forwardThe two basic modeling approaches for queuing systems are optimization and simulation. a) True b) Falsearrow_forward
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