A manual assembly line is being planned to produce a small consumer appliance. The work elements, element times, and precedence constraints are indicated in the table below. The cycle time and repositioning time are 1 min and 0.2 min, respectively.
Work
element
To (min)
Immediate
1
2
2
4
3
1
4
3
5
5
6
6
7
8
predecessors
1
1
2
3
4,5,6
a) Construct the precedence diagram for this assembly line.
b) Determine total work content time (6 points)
c) Determine theoretical minimum number of workers required
d) Determine service time (6 points)
e) Determine repositioning efficiency (6 points)
f) Use the Largest Candidate Rule to solve the line balancing problem
Пе
Twc = Tek k=1
w* = Minimum Integer >
T
Tc
Ts=Tc-Tr
E=