A Facility Is Trying to Set Up an Assembly Line

Essay

A facility is trying to set up an assembly line, and has identified the various tasks, and their relationship to each other, as shown in the following table. They wish to produce 600 units per day, working two 8-hour shifts.
$$\begin{array} { | c | c | c | } \hline \text { Task } & \text { Preceding Task } & \begin{array} { c } \text { Time to perform } \\\text { (sec.) }\end{array} \\\hline \text { A } & - - & 20 \\\hline \text { B } & - - & 30 \\\hline \text { C } & - - & 25 \\\hline \text { D } & - - & 10 \\\hline \text { E } & \text { A } & 55 \\\hline \text { F } & \text { D, B, C } & 30 \\\hline \text { G } & \text { E } & 25 \\\hline \text { H } & \text { F, G } & 40 \\\hline\end{array}$$
a. Draw a network diagram of precedence relationships.
b. Compute the required cycle time per unit in seconds.
c. Compute the minimum number of workstations required to produce 600 units per day.
d. Balance this line using longest processing time.
e. What is the efficiency of the line obtained in part d?