Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- In an evaluation of labor assignment rules when workers are not perfectly interchangeable, Paul. M. Bobrowski and Paul Sungchil Park created a dynamic job shop with 9 work centers and 9 workers, both numbered 1–9. The efficiency of each worker is specified in the following labor efficiency matrix, which represents the degree of worker cross-training.† Work Centers 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 W o r k e r s (a) For what work center(s) is worker 2 least efficient? (Enter your answers as a comma-separated list.) (b) For what…arrow_forwardIn a job shop, there are four machines: a miller, a planer, a drill, and a packager. The natural process times (in minutes) for each of the machines are: 8, 8, 10, and 13, respectively. The critical WIP of the system, if the four machines are connected in the order given is: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, 2.13, 2.0, 2.61,2.71, 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.Given we apply the most remaining tasks rule for balancing the assembly line, with ties broken according to longest task time first, What will the estimated idle time in minutes for FOURTH workstation? Oa. 1.00 O b. None is the correct answer Oc. 0.06 O d. 1.85 O e. 0.09 S PAGE NEXT PAGE e here to…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 13 21 B 8 16 C 30 25 D 11 27 E 15 25 For the sequence using Johnson’s Rule, the Make span = Xarrow_forwardA new surgical facility called Cut & Sew has opened in the United States. The branches of the facility are spread throughout the country. These are job shops that handle a variety of outpatient surgical procedures. The process of the facility is set up in a way that one doctor will cut and another will sew. The data regarding the patients and the estimated time for cutting and sewing for each patient are given in the following table: Patient A Cut Time (hours) 2.3 2.5 Sew Time (hours) 2.8 3.0 1.5 1.0 2.8 IB 2.0 0.6 3.8 If we apply the following sequence B-C-D-A-E, the makespan is place). Type your precise answer (one decimal Your Answer: Answerarrow_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, 2.13, 2.0, 2.61, 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 Fis completed. Given we apply the most remaining tasks rule for balancing the assembly line, with ties broken according to longest task time first, What will the estimated idle time in minutes for THIRD workstation? O a. 1.00 O b. None is the correct answer 0.06 O d. 1.85 e. 0.09arrow_forward
- An assembly task was broken down into four elements, and timed using the continuous timing method. The resulting data and performance ratings are provided below. Calculate the total standard time for this task. Element 1 2 3 4 Watch Time 1.85 2.96 5.42 7.10 Observed Time Rating 95 105 120 115 Normal Time Total ST Standard Timearrow_forwardFind 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. M2 Jobs A 7 B 5 C D E M1 5 2 1 4 13 3 6 3 For the sequence using Johnson's Rule, the Average Flow Time Xarrow_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_forward
- The table below shows the time for each work element in an manual assembly process, along with the predecessor(s) required for each element. The ideal cycle time is 1.4 minutes, the repositioning time is 0.1 minutes, and there is one worker at each station. Work element A B C D E F G H I J Time (minutes) 0.7 0.4 0.2 0.3 0.5 0.4 0.6 0.5 0.3 0.2 Immediate predecessors - A A B B C E,F D,E G,H I 1. Using the ranked positional weights method, assign work elements to stations.arrow_forwardA work cell in a local manufacturer has a workstation with 4 machines that form a line (Machine 1-Machine 2-Machine 3-Machine 4). Each unit needs to pass through each machine in order to be completed. Each machine has a production capacity of four units per hour. What is the process time of the work cell in minutes per unit? 15 4 8 16arrow_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, 2.13, 2.0, 2.61, 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. Given we apply the most remaining tasks rule for balancing the assembly line, with ties broken according to longest task time first, the tasks that will be assigned to the THIRD workstation are O a. E only O b. D and F OC. B, C, and D d. None is the correct answer O e. D onlyarrow_forward
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