Assignment:
Problem:
A production line with 12 tasks has the precedence relationships and durations presented in the following table. The line runs 8 hours a day and has a daily demand of 80 products, but a demand reduction is anticipated that will reduce demand to half its current level.
Duration
Task Precedence (min)
A - 6
B - 9
C A 4
D A 5
E B 4
F C 2
G C,D 3
H F 7
I G 3
J E,I 1
K H,J 10
K K 1
1. Draw the line balance in order to minimize the number of workstations according to the largest-positional-weight heuristic.
2. Determine the total idle time, the lead time, and the work-in process.
3. Make a sketch of the cell layout indicating what tasks will be carried out in each station by the assigned workers.