4.7 Article

Maintenance costs and makespan minimization for assembly permutation flow shop scheduling by considering preventive and corrective maintenance

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Scheduling proportionate flow shops with preventive machine maintenance

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Summary: This research focuses on machine scheduling problems inspired by semiconductor manufacturing, considering periodic machine maintenance in single machine and flow shop scheduling models with proportionate processing times. The study shows that maximum lateness and total completion time in a single machine can be minimized using a monotone scheduling rule, and that the same rule is optimal for a proportionate flow shop in terms of maximum lateness. However, it is found that the scheduling algorithm for a single machine may not necessarily be optimal for a proportionate flow shop in terms of total completion time. It is proven that a proportionate flow shop can be solved with an O(n(2)) algorithm for total completion time, and even total weighted completion time can be minimized with the same computational complexity. Furthermore, the generalization of these results is discussed when considering additional setup operations.

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