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 $5.$ A company $is$ designing a product layout for a new product. $It$

plans $to$ use this production line eight hours a day $in$ order $to$ meet a schedule $of$

$400$ units per day. The tasks necessary $to$ produce this product are detailed $in$ the

table below.

$a.$ What $is$ the required cycle time?

$b.$ What $is$ the theoretical minimum number $of$ workstations needed $to$ meet the

schedule?

$c.$ Use the longest task time approach $to$ balance the assembly line

$d.$ What $is$ the idle time?

$e.$ What $is$ the efficiency?

$f.$ Does the solution have the minimum number $of$ stations?