Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 3, Problem 6CQ
Summary Introduction
To identify: The time between the customers leaving the bank.
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You 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 time
Process time is part of cycle time. The process time of a business process refers to:
a. alWways is the largest part of cycle time.
b. timMe a customer spends waiting in a queue (e.g., time customer spends waiting in a drive-thru line)
c. is ofFten considered to be value-added time to the customer.
d. timMe from beginning to completion of the business process.
Before completing production, a product must passthrough three stages of production. On the average, a newproduct begins at stage 1 every 6 minutes. The average timeit takes to process the product at each stage is as follows:stage 1, 3 minutes; stage 2, 2 minutes; stage 3, 1 minute.After finishing at stage 3, the product is inspected (assumethis takes no time). Ten percent of the final products arefound to have a defective part and must return to stage 1 andgo through the entire system again. After completing stage3, 20% of the final products are found to be defective. Theymust return to stage 2 and pass through 2 and 3 again. Onthe average, how many jobs are in the system? Assume thatall interarrival times and service times are exponential andthat each stage consists of a single server.
Chapter 3 Solutions
Operations Management
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - You observe a long line at the airport security....Ch. 3 - Prob. 6CQCh. 3 - What is the maximum utilization a resource can...Ch. 3 - Is the capacity of the bottleneck larger than,...Ch. 3 - Prob. 9CQCh. 3 - You observe a vehicle registration department at...
Ch. 3 - Prob. 1PACh. 3 - A community health systems nurse team consists of...Ch. 3 - Consider a process consisting of three resources....Ch. 3 - Prob. 4PACh. 3 - Prob. 5PACh. 3 - Prob. 6PACh. 3 - Prob. 7PACh. 3 - Consider a four-step serial process with...Ch. 3 - Consider a four-step serial process with the...Ch. 3 - Prob. 10PACh. 3 - Prob. 11PACh. 3 - The Tesla Model S, one of the most sought-after...Ch. 3 - The Tesla Model S, one of the most sought-after...Ch. 3 - The Tesla Model S, one of the most sought-after...Ch. 3 - The Tesla Model S, one of the most sought-after...
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- In a furniture manufacturing facility, there is a drilling shop with semi-automated machines. For an operator, it takes 20 seconds for a worker to move from one machine to the other. To load a drilling job to the machines a worker spends 3 minutes. Once loaded machines finish the drilling job in 4 minutes. The worker spends 40 seconds to conduct a quality check for the finished parts. If two machines are allocated to a worker which of the following will be true? Machines will have idle time Neither machines nor the worker will have idle time The worker and the machines both will have idle time Worker will have idle timearrow_forwardMrs. Freddy Mitchell, in her lecture, stated that a transaction processing system (TPS) is software that ensures the completion of business transactions and keeps track of those business transactions. An online transaction processing system (OTPS) is an equivalent system that online merchants use for e-commerce. The TPS ensures that each transaction is successful by storing, sending, and receiving information via a database. She added that because the process is lengthy, it is broken down into cycles, which are broken further into systems and subsystems. Zara- Lee, a participant in Mrs. Freddy Mitchell’s Lecture series, got confused as Mrs. Freddy Mitchell began to elaborate on the many different systems, and Zara- Lee mentioned to YOU that she is experiencing information overload. YOU then responded that Mrs. Freddy Mitchell’s explanation was clear and concise, and YOU would explain the revenue cycle, its components, and the sub-systems that constitute that cycle after class.…arrow_forwardConsider the following service system. The average inter-arrival time is 10 minutes, and the standard deviation of the inter-arrival time is 10 minutes. The average processing time is 5 minutes with the standard deviation of the processing time being 6 minutes. What is the Flow rate of the process in [customers/minute]?arrow_forward
- A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time = 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?arrow_forwardf) CEO Benjamin Neve is considering adding a second teller (who would work at the same rate as the first) to reduce the waiting time for customers. A single line would be used, and the customer at the front of the line would go to the first available bank teller. He assumes that this will cut the waiting time in half. If a second teller is added, find the new answers to parts (a) to (e). Pxarrow_forwardPlease show in excel. The template is provided in the image. This is for a two-server system, not one. The Burger Dome is a fast-food restaurant that is currently appraising its customer service. In its current operation, an employee takes a customer’s order, tabulates the cost, receives payment from the customer, and then fills the order. Once the customer’s order is filled, the employee takes the order of the next customer waiting for service. Assume that time between each customer’s arrival is an exponential random variable with a mean of 1.35 minutes. Assume also that the time for the employee to complete the customer’s service is an exponential random variable with mean of 1 minute. Use the BurgerDome.xlsx template to complete a simulation model for the waiting line at Burger Dome for a 14-hour work day. Using the summary statistics gathered at the bottom of the spreadsheet model, answer the following questions. What is the average wait time experienced by a customer?…arrow_forward
- A server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minutearrow_forwardA company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour, while output increased by four carts per hour.A) Compute labor productivity under each system. Use carts per worker per hour as themeasure of labor productivity.B) Compute the multifactor productivity under each system. Use carts per dollar cost (laborplus equipment) as the measure.C) Comment on the changes in productivity according to the two measures, and on which one you believe is the more pertinent for this situation.arrow_forwardA company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by four carts per hour. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure.arrow_forward
- A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labour content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 100 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by 20 carts per hour. a. The labor productivity under the old system is Blank 1. Fill in the blank, read surrounding text. and the new system is Blank 2. Fill in the blank, read surrounding text. carts per worker per hour. b. Compute the total factor productivity under each of the systems. Old system Blank 3. Fill in the blank, read surrounding text.arrow_forwardDo: 12-21 Truck drivers working for Juhn and Sons (see Problems 12-19 and 12-20) are paid a salary of $20 per hour on average. Fruit loaders receive about $12 per hour. Truck drivers waiting in the queue or at the loading gate are drawing a salary but are productively idle and unable to generate revenue during that time. What would be the hourly cost savings to the firm associated with employing two loaders instead of one? Not this: 12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Not this: 2-20 Juhn believes that adding a second fruit loader will substantially improve the firm’s efficiency. He estimates that a two-person crew, still acting like a single-server system, at the loading…arrow_forwardA queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________.arrow_forward
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