Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 18, Problem 4CQ
Summary Introduction
To determine: Whether the average flow time is lowered in first come first serve than in shortest processing time is true or false?
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Depending on how jobs arrive to a resource, it is possible that the average flow time of the jobswith first-come-first-served is lower than that with shortest processing time. True or false?a. Trueb. False
Which of the following is a benefit of overbooking a resource?a. It helps to reduce the average number of jobs waiting to be processed on the resource.b. It helps to reduce the average flow time of jobs through a resource.c. It helps to increase the utilization of the resource.d. It helps to reduce the processing times of jobs at a resource.
An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…
Chapter 18 Solutions
Operations Management
Ch. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - With weighted shortest processing time, jobs are...Ch. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 10CQ
Ch. 18 - Prob. 11CQCh. 18 - Prob. 12CQCh. 18 - Prob. 13CQCh. 18 - Prob. 14CQCh. 18 - Prob. 15CQCh. 18 - Prob. 16CQCh. 18 - Prob. 1PACh. 18 - Prob. 2PACh. 18 - Prob. 3PACh. 18 - Prob. 4PACh. 18 - Prob. 5PACh. 18 - Prob. 6PACh. 18 - Prob. 7PACh. 18 - Prob. 8PACh. 18 - Prob. 9PACh. 18 - Prob. 10PACh. 18 - Prob. 11PACh. 18 - Prob. 12PACh. 18 - Prob. 13PACh. 18 - Prob. 14PACh. 18 - Prob. 15PACh. 18 - Prob. 1CCh. 18 - Prob. 2CCh. 18 - Prob. 3CCh. 18 - Prob. 4C
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- Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively. Consider the system with one server per station. What is this system's capacity? What is the cycle time for each order through the entire process flow?arrow_forwardConsider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively. Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C. What is the system's capacity? What is the cycle time for each order through the entire process flow?arrow_forwardIf the arrival rate doubles and the number of servers doubles, what is the changein the system’s utilization, assuming there are no other changes (e.g., the processing timeand the coefficients of variation remain the same)?A. Utilization increases.B. Utilization remains the same.C. Utilization decreases.D. It is not possible to determine how those changes will influence utilization.arrow_forward
- Customers send emails to a help desk that has three employees who answer theemails (and this is their only responsibility). Customer requests arrive accordingto a Poisson process with a rate of 30 per hour. It takes on average 4 minutes towrite a response email; the standard deviation of this service times is 2 minutes.a. What is the utilization of the employees?arrow_forwardPlease do not give solution in image format thanku Customers send e-mails to a help desk of an online retailer every two minutes, on average, and the standard deviation of the interarrival time is four minutes. The online retailer has three employees answering e-mails. It takes on average five minutes to write a response e-mail. The standard deviation of the processing times is one minute. (a) How many e-mails would there be, on average, that have been submitted to the online retailer but not yet answered? (b) Estimate, on average, how long the customers will wait before being served. (c) Determine the minimum number of employees required to have at most 10 minutes of waiting. Do not use excel. Explain every step in your answers in detail.arrow_forwardEliminating the queue of work dramatically quickens the time it takes a part to flow through the system. What are the disadvantages of removing those queues?arrow_forward
- Shortest processing time minimizes the flow time of jobs at a resource because itreduces the processing times of the jobs. True or false?a. Trueb. Falsearrow_forwardFind a Doctor is a small startup that helps people find a physician who best meets their needs (location, insurance accepted, etc.). During a “slow” time for it, it has 8 staff members taking calls from customers. On average, one call arrives every 5 minutes (with a standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27.00 minutes). How long does one of their customers spend, on average, waiting on hold before he or she can start speaking to a representative?arrow_forwardAssumMe a customer orders a product online. SupPpose that the product is delivered later in the weEek. The time between the order placement and order delivery is known as: a. waitT time b. queue time c. cycle time d. process timearrow_forward
- Customers send emails to a help desk that has three employees who answer theemails (and this is their only responsibility). Customer requests arrive accordingto a Poisson process with a rate of 30 per hour. It takes on average 4 minutes towrite a response email; the standard deviation of this service times is 2 minutes.b. What is the average time an email spends waiting before an employee startsworking on it? What is the average time to complete the emails requests (fromthe time the email is sent to when it is answered)?arrow_forwardThe Solomon, Smith, and Samson law firm produces manylegal documents that must be word processed for clients andthe firm. Requests average eight pages of documents perhour, and they arrive according to a Poisson distribution. Thesecretary can word process 10 pages per hour on average ac-cording to an exponential distribution.a. What is the average utilization rate of the secretary?b. What is the probability that more than four pages are wait-ing or being word processed?c. What is the average number of pages waiting to be wordprocessed?arrow_forwardYou observe a bank and notice that a customer leaves the bank about every five minutes.These five minutes between customers are:a. the capacity of the process.b. the processing time of the last resource.c. the cycle time.d. the lead timearrow_forward
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