TABLE $3\mathrm{.}5$

Demand and Batch Size Information for Exercise $10$

Widget

Type

$1$

$2$

$3$

Annual Demand

$10,000$

$14,500$

$8,000$

Number of Units That Can Be

Transported in One Trip

$10$

$5$

$20$

Weedjets Manufacturing International has currently arranged the five equipment types mentioned in

Exercise $3$ as shown in Figure $3\mathrm{.}28.$

FIGURE $3\mathrm{.}28$ Current layout for Weedjets Manufacturing International in Exercise $11.$

Coordinates of the five machines A$,$ B$,$ C$,$ D$,$ and E are $(10,7\mathrm{.}5),(20,20),(60,12\mathrm{.}5,$ and $(5,20),$

respectively.

$($a$)$ Determine the dimensions of each equipment type.

$($b$)$ Determine the following distance measures for each equipment

pair:

$($i$)$ Euclidean

$($ii$)$ Rectilinear

$($iii$)$ Tchebychey

$($c$)$ Using the distances calculated in part $($b$)$ and frequency of trips between matrix calculated in

Exercise $3,$ part $($e$),$ determine the sum of flow times distance for the equipment pairs for each

distance metric.

$($d$)$ By trial and error alter the block plan shown and generate a new one that reduces the overall flow

times distance by at least $10\%$ when compared to the values obtained in $($c$).$ Note that you may

change the positions of equipment and their orientation, but not their length, breadth, or area.