Question: Consider the following eleven-task assembly line balancing problem with a cycle time of 10 minutes and precedence relations among the tasks given in the table

Consider the following eleven-task assembly line

Consider the following eleven-task assembly line balancing problem with a cycle time of 10 minutes and precedence relations among the tasks given in the table below. Task 1 2 3 4 5 6 7 8 9 10 11 Immediate Predecessor(s) 1 1 1 1 2 3,4,5 6 7 8 9,10 Duration (minute) 6 2 5 7 1 2 3 6 5 5 4 (a) Draw the precedence diagram that represents the relations among the tasks. (b) Answer the following independent questions. i. Assuming the assembly line is straight (serial); balance the line by the largest candidate technique, obtain the number of workstations required, illustrate the assignments of the tasks to the workstations, and compute the line efficiency. ii. Assuming the assembly line is straight; balance the line by the ranked positional-weight technique, obtain the number of workstations required, illustrate the assignments of the tasks to the workstations, and compute the line efficiency. iii. Assuming the assembly line is U-shaped; balance the line by the technique studied in the lecture, obtain the number of workstations required, illustrate the assignments of the tasks to the workstations, and compute the line efficiency. (c) Compare the balanced lines in (i), (ii) and (iii). Which of them do you suggest to apply

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