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Quantitative Aptitude

Averages

Four jobs are...

Question

Four jobs are to be processed on a machine as per data listed in the table.

Job Processing time (in days) Due date

1 4 6

2 7 9

3 2 19

4 8 17

If the Earliest Due Date (EDD) rule is used to sequence the jobs, the number of jobs delayed is

A

4

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B

1

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C

3

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D

2

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Solution

The correct option is C 3
Sequence by Earliest Due Date (EDD)

Job Time Job flow time Due date Delay / Days or tardiness

1 4 0 + 4 = 4 6 +2

2 7 4 + 7 = 11 9 -2

4 8 11 + 8 = 19 17 -2

3 2 19 + 2 = 2 19 -2

No. of delay = 3

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Q. Four jobs are to be processed on a machine as per data listed in the table.

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1	4	6
2	7	9
3	2	19
4	8	17

Using the Shortest Processing Time (SPT) rule, total tardiness is

Q. There are 5 jobs in waiting for getting processed on a machine,

Job	Processing Time (Days)	Due date
$J_{1}$ $J_{2}$ $J_{3}$ $J_{4}$ $J_{5}$	5 5 6 2 2	7 8 10 7 3

Using slack time remaining rule for sequencing of jobs the average tardiness of jobs is

Q. Four jobs have to be sequenced on a single facility, with the objective of minimizing the maximum tardiness

(=max_i|Completion time_i-Due date_i|).

The jobs have due dates processing times as follows

Job	Due date (day number)	Processing time (days)
P	5	2
Q	6	4
R	3	3
S	7	10

The last job that should be taken up is

Q. Processing times (including step times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using the shortest processing time rule is ___ (correct two decimal places).

Job	Processing time (days)	Due date (days)
A	3	8
B	7	16
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Q. A machine shop processes custom orders from variety of clients. A machining centre in a job shop for a local manufacturing company has five unprocessed jobs remaining at a particular point in time. The jobs are labeled

J_{1}, J_{2}, J_{3}, J_{4}

J_{5}

in the order they entered the shop. The respective processing times and due dates are given in the table below:

Job	Processing time (in days)	Due date (in days)
$J_{1}$	13	65
$J_{2}$	32	48
$J_{3}$	34	34
$J_{4}$	4	36
$J_{5}$	5	35

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