Question

RAMJAKHAR CAN YOU HELP ME? also can you explain the formulas as well

5. For the machine-part matrix shown below.

a. Form cells using the direct clustering algorithm (DCA). Shown each step and corresponding matrix clearly by filling given blank matrices.)

b. If conflict exist, what are the possible alternative approaches for resolving conflicts?

	1	2	3	4	5
1	1		1
2		1		1	1
3	1		1
4		1
5				1	1

top:machine #

side:part#

Answer 1

Step-1: Find the total of each row and column PartMachine1 Total Total Step-2: Ordering the rows (in ascending totals) PartMachine5 Total Total

Step-3: Ordering the columns (in descending totals) Part Machine 5432 2 1 Total 1 4 Total Step-4: Sort the columns. Starting with the first row, with one row at a time, for all rows, shift the columns to the left so that 1's can be accumulated to the left.

PartMachine5 Total Total Step-5:Sort the rows. Starting with the first column, with one column at a time, for all columns, shift the rows to the up so that 1's can be accumulated to the top PartMachine5 Total Total Step-6: Form the clusters/cells PartMachine5 Total Total

So, according to the solution, in Cluster-I (green), Part-2, 5, and 4 are handled by Machine-5, 4, and 2. In Cluster-II (Red), Part-3, and 1 are handled by Machine-3 and 1.

(b)

A popular method of breaking the tie in step-2 and step-3 is to use the order of the machines and parts. Generally, when a tie is found in the row totals, they are arranged according to the descending 'sequence' of the machines. Similarly, when a tie is found in the column totals, they are arranged according to the descending sequence of the parts.