Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 17, Problem 5CQ
Summary Introduction
To determine: The benefit of reducing the variability of processing times.
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If 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.
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…
True or False?
The average number of customers in queue plus the number of servers equals the average number of customers in the system.
The main cause of delay at Logan Airport was overbooking, and building a new runway solved the delay problem.
If a company hopes to increase the capacity of a process, the company needs to try to shorten the process’s cycle time.
Little’s Law only applies to an M/M/1 queue, which is a special case of a G/G/C queue.
If a queuing system has deterministic arrival rate λ and service rate μ, and λ < μ, then Lq = 0 in this queue.
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- A chemical plant stores spare parts for maintenance in a large warehouse. Throughout the working day, maintenance personnel go to the warehouse to pick up supplies needed for their jobs. The warehouse receives a request for supplies, on average, every 2 minutes (Poisson distributed). The average request requires 1.7 minutes to fill (exponential service times). Maintenance employees are paid $20 per hour, and warehouse employees are paid $12 per hour. The warehouse is open 8 hours each day. What is the optimal number of warehouse employees to hire? (Hint: Time spent by maintenance workers waiting in line for supplies should be considered an expense.) What is the total cost per hour (waiting plus warehouse employee labor cost) of your solution?arrow_forwardWhich of the following is true of just-in-time processing? a.In just-in-time processing, supervisors enter materials into manufacturing so as to keep all the manufacturing departments (processes) operating. b.It assigns service activities to centralized service departments. c.It is a management approach that focuses on reducing time and cost and eliminating poor quality. d.In just-in-time processing, a worker typically performs only one function.arrow_forwardConsider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 2 minutes. The number of servers is 4. What is the probability that all servers are busy?arrow_forward
- Which of the following is true of grid Computing? A. Runs an application on one server. B. Is ideal for transaction processing systems. C.Divides the processing of an application among servers. D.Does not require any special software. Is difficult to scale uparrow_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_forwardDepending 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. Falsearrow_forward
- Which of the following captures the idea of Andon?(a) Examples of this include workers having to make unnecessary movements (i.e.,excessive reaching or walking to get tools or parts), working on parts that are defective,and idle time.(b) A system that enables a line worker to signal that he or she needs assistance from hisor her supervisor, for example, in the case of a defect. It is used to implement the jidokaprinciple.(c) A brainstorming technique that helps structure the process of identifying underlyingcauses of a (usually undesirable) outcome.(d) As an example of this philosophy, workers in the factory have notebooks at theirworkstations that they use to jot down improvement ideas.(e) A method that controls the amount of work-in-process inventory.(f) If an automotive assembly plant used this technique, the adjacent cars on an assemblyline would be mixed models (e.g., Model A with sunroof, Model A without sunroof,Model B, Model B with sunroof) in proportions equal to customer…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 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_forward
- Find 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_forwardA branch office has two employees, and three people, A, B and C, enter at the same time to the office. A and B are served by two employees, while C waits until served. Assume that service time is exponentially distributed to lambda parameters. (a) Calculate the odds that A is the last one served. (b) Calculate the expected time before C is completed.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
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