Formulas

Line balancing

Available Time $=$ Net time available excluding meeting time, lunch break etc...

Cycle Time $=\frac{\text{A}\text{v}\text{a}\text{l}\text{i}\text{a}\text{b}\text{l}\text{e}\text{T}\text{i}\text{m}\text{e}}{\text{U}\text{n}\text{i}\text{t}\text{s}\text{R}\text{e}\text{q}\text{u}\text{i}\text{r}\text{e}\text{d}}$

Theoretical minimum number $of$ workstations $=\frac{{\displaystyle \underset{?}{\overset{?}{}}}\text{T}\text{a}\text{s}\text{k}\text{T}\text{i}\text{m}\text{e}}{\text{C}\text{y}\text{c}\text{l}\text{e}\text{T}\text{i}\text{m}\text{e}}$

$To$ measure the effectiveness, $we$ have $to$ find the efficiency and idle time $by$

using the following formulas:

Efficiency $=\frac{{\displaystyle \underset{?}{\overset{?}{}}}\text{T}\text{a}\text{s}\text{k}\text{T}\text{i}\text{m}\text{e}}{\text{A}\text{c}\text{t}\text{u}\text{a}\text{l}\text{n}\text{u}\text{m}\text{b}\text{e}\text{r}of\text{w}\text{o}\text{r}\text{k}\text{s}\text{t}\text{a}\text{t}\text{i}\text{o}\text{n}\text{s}\text{l}\text{a}\text{r}\text{g}\text{e}\text{s}\text{t}\text{a}\text{s}\text{s}\text{i}\text{g}\text{n}\text{e}\text{d}\text{c}\text{y}\text{c}\text{l}\text{e}\text{t}\text{i}\text{m}\text{e}}100$

Idle Time Actual number $of$ workstations $x$ largest assigned cycle time Question $1.If$ the goal $isto$ produce $180$ units per hour. The tasks, task times,

and immediate predecessors for the tasks are $as$ follows:

$a$