Exercise Find a schedule that minimises makespan..

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Exercise Find a schedule that minimises makespan.

S 1,12,14,13,1 T 1,22,23,24,2 3,31,34,32, Iteration 1: C max =25 Answer

Machine 1 1,2,3 L max (1)=4 Machine 2 2,1,3 L max (2)=5

Machine 3 3,1,2 L max (3)=0 Machine 4 2,1,3 L max (4)=3

Machine 2 is bottleneck. S 1,12,14,13,1 T 1,22,23,24,2 3,31,34,32, Iteration 2: C max =30

Machine 1 3,2,1 L max (3)=0 Machine 3 2,1,3 L max (1)=3

2,1,3 L max (4)=0 Machine 4

Machine 1 is bottleneck. S 1,12,14,13,1 T 1,22,23,24,2 3,31,34,32, C max =33 Can we decrease C max ({1,2}) ? Resequencing machine 2 gives no improvement ! (Check this !)

Iteration 3: C max =33 Machine 1 2,1,3 L max (4)=0 Machine 4 3,2,1 L max (4)=0

No machine is a bottleneck! S 1,12,14,13,1 T 1,22,2 3,2 4,2 3,31,34,32, Final schedule: