Q$6.$ Manufacturing Cell Formation

$[15\%]$

Consider the $N=8$ parts and $M=6$ machines problems of the Table shown blow. Assume that one machine of each type is sufficient, apply the Method of Similarity Coefficients to find the machine cells and generate dendrogram.

$($note: The rule that specifies what rule to use for determination of similarity of multiple machines is MAX. That is:

similarity$(A,(B,C))=$max$(similarity(A,B),$similarity$(A,C))$;

$\backslash$table$[[$Machine $\frac{\frac{?}{?}}{?}$ Part,P$1,$P$2,$P$3,$P$4,$P$5,$P$6,$P$7,$P$8],[$A$,1,1,1,,,,,],[$B$,1,1,1,,,,,],[$C$,,,1,1,1,1,,],[$D$,,,,1,1,1,1,],[$E$,,,,,,,1,1],[$F$,,,,,,,1,1]]$