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Six jobs are to be processes through a two-step operation. The first operation involves sanding,
and the second involves painting. Processing times are as follows: Determine a sequence that
will minimize the total completion time for these jobs. Illustrate graphically.
Solution
Operation 1
Start Time
Operation 1
End Time
Operation 2
Start Time
Operation 2
End Time
0
The start time of the Operation 2 should always be equal to or greater than the Operation 1 end
time.
The sequence that minimises the makespan as per Johnson's rule:
F - E - D -C - B - AJobsOperation 1Operation 2
Operation 1
Start Time
Operation 1
End Time
Operation 2
Start Time
Operation 2
End TimeA105
0101015B741017(10+7)1721C571722(17+5)2229D382225(22+3)2937E262527(25+2)3743F43
2731(27+4)4346

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Six jobs are to be processes through a two-step operation. The first .pdf

  • 1. Six jobs are to be processes through a two-step operation. The first operation involves sanding, and the second involves painting. Processing times are as follows: Determine a sequence that will minimize the total completion time for these jobs. Illustrate graphically. Solution Operation 1 Start Time Operation 1 End Time Operation 2 Start Time Operation 2 End Time 0 The start time of the Operation 2 should always be equal to or greater than the Operation 1 end time. The sequence that minimises the makespan as per Johnson's rule: F - E - D -C - B - AJobsOperation 1Operation 2 Operation 1 Start Time Operation 1 End Time Operation 2 Start Time Operation 2 End TimeA105 0101015B741017(10+7)1721C571722(17+5)2229D382225(22+3)2937E262527(25+2)3743F43 2731(27+4)4346