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In a Factory There Are Six Jobs to Be Performed Each of Which Should Go Through Two Machines a and B in the Order a - B

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प्रश्न

In a factory there are six jobs to be performed each of which should go through two machines A and B in the order A - B. The processing timing (in hours) for the jobs arc given here. You are required to determine the sequence for performing the jobs that would minimize the total elapsed time T. What is the value of T? Also find the idle time for machines · A and B.

Jobs J1 J2 J3 J4 J5 J6
Machine A 1 3 8 5 6 3
MAchine B 5 6 3 2 2 10
योग
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उत्तर

The order is A to B, hence the required sequence is

J1 J2 J6 J3 J5 J4

or

J1 J6 J2 J3 J4 J5

 

Job
Sequence
Machine A Machine B
Time
in
Time
out
Time
in
Time
out
J1 0 1 1 6
J2 1 4 6 12
J6 4 7 12 22
J3 7 15 22 25
J5 15 21 25 27
J4 21 26 27 29

Total elapsed time T = 29 hours
Idle time for A = 3 hours
Idle time for B = 1 hour.

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2013-2014 (October)

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