Question

Given the following information concerning jobs awaiting processing at a single work center, what is the processing sequence using the critical ratio (CR) rule?

JOB	Processing time at this operation (hrs) at this operation (hrs.)	Processing time remaining at other operations (hrs.)	Final due date ( hrs.)
D	4	4	9
A	8	6	38
O	6	10	24
I	3	8	20
N	5	14	32

Answer 1

we know that

Critical ratio = ( Due date - Today's Date ) / Total shop time remaining

In this Case

Due date - Today's Date = Time remaining until a Job's Due date which is given by "Final due date (hrs) ----B

Total shop time remaining = Processing time remaining at other operations (hrs) ------A

So CR = B / A

Below is the Critical ratio calculation for all the jobs

Job	Processing time at this operation (Hrs)	Processing time remaining at other operations (hrs) ---(A)	Final due date (hrs) ----(B)	Critical ratio = B / A
D	4	4	9	2.25
A	8	6	38	6.33
O	6	10	24	2.4
I	3	8	20	2.5
N	5	14	32	2.28

Now sequence should be arrived by arranging the critical ratio in an increasing order

So 2.25 < 2.28 < 2.4 < 2.5 < 6.33

The processing sequence should be

D --> N --> O --> I --> A

Sequence	Job	CR
1	D	2.25
2	N	2.28
3	O	2.4
4	I	2.5
5	A	6.33

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