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.
|
Task
|
Precedence
|
Duration(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
|
|
L
|
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.