Module 9 :
Illustrative Examples

Question 9.2

Hitesh Products Ltd (HPL) produces an item, which requires shearing operation first followed by punching operation. There are 5 different jobs to be processed, the processing times for which are given below:


Job 1 2 3 4 5
Shear time 4 4 10 6 2
Punch time 5 1 4 10 3


Using Johnson's rule find the makespan of the schedule.



Answer 9.2

Applying Johnson's rule to HPL, we find that the smallest processing time occurs on job 2 on the punch. Since the minimum time is on the second machine, job 2 is scheduled last.


- - - - 2


Next, for the remaining jobs, we pick the second-smallest processing time. This is 2 corresponding to job 5 on machine 1. Therefore job1 is scheduled first.

5 - - - 2


In the next step, we have a tie between Job 1on shear and job3 on punch. When ties occur, either job can be chosen. If we pick job 1, then we have:


Continuing with this, the last two steps yield:
5 1 - 3 2
5 1 4 3 2


Shear 5 1 4 3 2 X
Punch X X 5 X 1 X 4 3 2


X : machine is idle.

The makespan is 27 days.
Prof.S.G.Deshmukh & Prof.Arun Kanda