Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 18, Problem 14CQ
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To determine: The situations where theory of constraints is most applicable?
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onsider a process consisting of three resources. Assume there exists unlimited demand for the product, and that all activities are always performed in the following sequence.
Resource 1 has a processing time of 6 minutes per unit.
Resource 2 has a processing time of 3 minutes per unit.
Resource 3 has a processing time of 5 minutes per unit.
All three resources are staffed by one worker and each worker gets paid $14 per hour.
How much idle time does the worker at resource 3 have per unit?
A product is completed when 18 tasks are done. These tasks are assigned to 6 workstations (each workstation handling several tasks) in an assembly line set up. All workstations work the same amount of time (= cycle time), and move the (partial) product to the next workstation, and repeat this process. The last workstation generates the finished product.
We need 1200 units made every day (= 8 hours). If we run this line with a cycle time of 0.3 minutes, what is the most amount of work (in minutes) that can be done on this product?
(Give the answer with one decimal place)
A furniture factory makes two types of wooden tables,large and small. See the flowchart below .Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart. a. What is the capacity of the system, and what is thebottleneck? b. What are the throughput times for batches of large and small tables? c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?
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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- Diablo Electronics manufactures four unique products (A, B, C, and D) that are fabricated and assembledin five different workstations (V, W, X, Y, and Z) using a small batch process. Each workstation is staffedby a worker who is dedicated to work a single shift per day at an assigned workstation. Batch setuptimes have been reduced to such an extent that they can be considered negligible. A flowchart denotesthe path each product follows through the manufacturing process as shown in Figure 5.2, where eachproduct’s price, demand per week, and processing times per unit are indicated as well. Inverted trianglesrepresent purchased parts and raw materials consumed per unit at different workstations. Diablo canmake and sell up to the limit of its demand per week, and no penalties are incurred for not being able tomeet all the demand.Which of the five workstations (V, W, X, Y, or Z) has the highest utilization, and thus serves as the bottle-neck for Diablo Electronics?arrow_forwardAs the Cottrell Bicycle Co. of St. Louis completes plans for its new assembly line, it identifies 25 different tasksin the production process. VP of Operations Jonathan Cottrell now faces the job of balancing the line. He lists precedencesand provides time estimates for each step based on work-sampling techniques. His goal is to produce 1,000 bicycles perstandard 40-hour workweek.Balance this operation using the shortest operation time rule and compute the efficiency of the line.arrow_forwardA manufacturer is designing a product layout for a new product production. It plans to use a production line for 8 hours per day in order to meet forecasted demand of 90 units per day. The product requires 7 tasks in total. These tasks are namely, A, B, C D E F and G respectively. Task A does not have any predecessor to start. To start Task B, it requires Task A to be completed, Starting tasks needs the task to be completed. Also starting task D, needed task B to be completed. Task E can only start upon completion of Task C. Whereas starting task F needs the completion of both the tasks D and E. Finally, starting task G needed, task F to be completed. The processing times for tasks, A, B, C, D, E, F. and G are 28.2.1,0.9, 10, 1.2.1.8 are 4.7 minutes respectively. How many minimum numbers of workstations are needed? a. 1 b. 6 c. None is correct d. 3 e. 5 please I neef answer along with the formula don't put it on excelarrow_forward
- An order for 100 of a product is processed on operation A and operation B. The setuptime on A is 50 minutes, and the run time per piece is 9 minutes. The setup time onB is 30 minutes, and the run time is 6 minutes per piece. It takes 20 minutes to movea lot between A and B. Since this is a rush order, it is given top priority (president’sedict) and is run as soon as it arrives at either workstation.It is decided to overlap the two operations and to split the lot of 100 into two lotsof 60 and 40. When the first lot is finished on operation A, it is moved to operation Bwhere it is set up and run. Meanwhile, operation A completes the balance of the 100units (40) and sends the units over to operation B. These 40 units should arrive asoperation B is completing the first batch of 60; thus, operation B can continue withoutinterruption until all 100 are completed.a. Calculate the total manufacturing lead time for operation A and for B withoutoverlapping.b. Calculate the manufacturing lead time…arrow_forwardConsider a process consisting of five resources that are operated 8 hours per day. Theprocess works on three different products, A, B, and C: Demand for the three different products is as follows: product A, 40 units per day;product B, 50 units per day; and product C, 60 units per day.a. What is the bottleneck?b. What is the flow rate for each flow unit, assuming that demand must be served in the mixdescribed above (i.e., for every four units of A, there are five units of B and six units of C)?arrow_forwardCubway, the sandwich shop, is run by Jim, Tim and Kim. When a customer arrives, Jim spends 5 minutes taking order from the customer. After this, Tim prepares bread and Kim prepares filling for the order. These activities are performed in parallel, and take 6 and 12 minutes respectively. Jim then assembles the bread and filling, which takes 4 minutes of his time. Finally, Tim spends 1 minutes in delivering the order and taking payment. What is maximum number of sandwiches Cubway can make per hour? (In other words, what is the capacity of the process in sandwiches per hour?)arrow_forward
- Find the value of X in the following Flow Shop data consisting of 5 jobs which are to be processed on two machines M1 & M2 in that order. Jobs M1 M2 A 3 8 B 12 9 C 11 1 D 6 4 E 10 12 For the sequence using Johnson’s Rule, the Average Flow Time = Xarrow_forwardA large office with a copy department, a drafting department with all of the engineers located together, and all of the managers located together in a large suite of offices is an example of: a. An assembly line process b. A batch process c. A project process d. A continuous process Explain incorrect answers also.arrow_forwardA local toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed . The daily demand is 100 toys. Times of the tasks are 2.73,2.01 1,2.13,2.0,2.61,2. 2.71 , and 2.95 minutes for A, B, C, D, E, F , and G , respectively . However , due to the nature of the product there are precedence rules that must be observed . Such that Task A does not need any predecessors ; task B requires task A to be completed . To start task C and task D, each require task B to be completed . Task C must be completed prior to stating task E. Task F needs both task D and task E to be completed . Finally , task G can start only once task F is completed . What should be the calculated cycle time in minutes ? a. 0.9 b. 4.5 c. None is correct d. 4.8 e. 4.4arrow_forward
- Chris has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Chris has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross-trained, and thus must stay at their station. On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer. The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food. A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your…arrow_forwardA local toy manufacturer is using a production line that runs hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toys. Times of the tasks are 2.73, 201 01, 2.13, 2.0, 2.61 2.71. and 2.95 minutes for A, BC, D , and G, respectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors; task B requires task A to be completed. To start task and task each require task B to be completed. Task must be completed prior to stating task E. Task F needs both task Dand task E to be completed. Finally, task G can start only once task Fis completed . What should be the calculated cycle time in minutes?arrow_forwardPositively Rivet Inc. is a small machine shop that produces sheet metal products. It had one line dedicated to the manufacture of light-duty vent hood shells, but because of strong demand it recently added a second line. The new line makes use of higher-capacity automated equipment but consists of the same basic four processes as the old line. In addition, the new line makes use of one machine per workstation, while the old line has parallel machines at the workstations. The processes, along with their machine rates, number of machines per station, and average times for a lone job to go through a station (i.e., not including queue time), are given for each line in the following table: Process Old Line New Line Rate per Machine (parts/hour) # Machines per Station Time (minute) Rate per Machine (parts/hour) # Machines per Station Time (minute) Punching 15 4 4.0 120 1 0.50 Braking 12 4 5.0 120 1 0.50 Assembly 20 2 3.0 125…arrow_forward
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