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 statio

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 statio

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Description: 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 s

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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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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