m.google.comImmediateTaskTask time (seconds)Predecessor1011B11EFС, D7FH.11EIG, H5 Which rule is the best? Explain your answer.A@G W ENGA.BABCDEFG x = Facilities Planning Laboratory 2 X +google.comM2M2A0/a/MikzODoxNTY4MY4/detailsProblem 3:Using the information contained in the table shown, do each of the following:1. Draw a precedence diagram.2. Given: Cycle time: 12 seconds3. Determine the minimum number of workstations required4. Assign tasks to workstations using all the five heuristic rules.I

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Description: m.google.comImmediateTaskTask time (seconds)Predecessor1011B11EFС, D7FH.11EIG, H5 Which rule is the best? Explain your answer.A@G W ENGA.BABCDEFG x = Facilities Planning Laboratory 2 X +google.comM2M2A0/a/MikzODoxNTY4MY4/detailsProblem 3:Using the i

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Business

Operations Management

Problem 3: Using the information contained in the table shown, do each of the following: 1. Draw a precedence diagram. 2. Given: Cycle time: 12 seconds 3. Determine the minimum number of workstations required 4. Assign tasks to workstations using all the five heuristic rules.

Problem 3: Using the information contained in the table shown, do each of the following: 1. Draw a precedence diagram. 2. Given: Cycle time: 12 seconds 3. Determine the minimum number of workstations required 4. Assign tasks to workstations using all the five heuristic rules.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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Francis Johnson’s plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 15 units per hour, and there is room for only four workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TASK TIME (MINUTES) IMMEDIATE PREDECESSOR A 1 — B 2 — C 3 — D 1 A, B, C E 3 C F 2 E G 3 E What is the workstation cycle time required to produce 15 units per hour? Note: Round your answer to 1 decimal place. Balance the line to use the fewest possible workstations to meet the cycle time found in part (b). Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line operates at the cycle time from part (b)? Note: Round your answer to 1 decimal place.
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Use the longest work element rule to balance the assembly line described in the following table and Figure so that it will produce 40 units per hour.a. What is the cycle time?b. What is the theoretical minimum number of workstations?c. Which work elements are assigned to each workstation?d. What are the resulting efficiency and balance delay percentages?e. Use the shortest work element rule to balance the assembly line. Do you note any changes in solution? Work Element Time (Sec) Immediate Predecessor(s) A B C D E F G H I J K 40 80 30 25 20 15 60 45 10 75 15 None A A B C B B D E,G F H,I,J
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A manager wants to assign tasks to workstations as efficiently as possible and achieve an hourlyoutput of four units. The department uses a working time of 56 minutes per hour. Assign the tasksshown in the accompanying precedence diagram (times are in minutes) to workstations using thefollowing rules:a. In order of most following tasks. Tiebreaker: greatest positional weight.b. In order of greatest positional weight. Tiebreaker: most following tasks.c. What is the efficiency?
As the Operations Manager of Shane Manufacturing Ltd., you are given the task to balance the assembly line that is used to produce a special type of toy. a. Develop your own scenario (quantitative example) of this line balancing problem. Include all relevant information b. Draw the precedence diagram for the problem that you set up in part “a” above. c. Use the example that you set up to demonstrate how you will balance the line.
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The XYZ company produces all type of office furniture. The “Executive Secretary” is a chair that has been designed using ergonomics to provide comfort during long office hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 50 chairs. There are eight tasks; Task Time (min) Immediate predecessor A 4 - B 7 - C 6 A, B D 5 C E 6 D F 7 E G 8 E I 6 F, G a) Draw a precedence diagram of this operation b) What is the cycle time for this operation? c) What is the theoretical minimum number of workstations? d) Assign tasks to the workstations e) What is the idle time per cycle? f) What is the efficiency of the assembly line?
The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.
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