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Find the Sequence that Minimizes Total Elapsed Time (In Hours) Required to Complete the Following Jobs on Two Machines M1 and M2 in Order M1-m2. Also Find the Minimum Elapsed Time - Mathematics and Statistics

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Question

Find the sequence that minimizes total elapsed time (in hours) required to complete the following jobs on two machines M1 and M2 in order M1-M2. Also, find the minimum elapsed time T and idle time for the two machines. 

Jobs 
Machines  A B C D E
M1 5 1 9 3 10
M2 2 6 7 8 4
Sum

Solution

Optimal sequence : 

B D C E A

Working Table : 

Minimum elapsed time T = 30 hours 

Idle time for machine M1 

= 30 - 28 = 2 hours 

Idle time for machine M

= 1 + 1 + 1 = 3 hours 

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Sequencing in Management Mathematics
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2013-2014 (March)

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