Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 7, Pages 3321-3329Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.08.064
Keywords
Scheduling; Learning effect; Aging effect; Deteriorating maintenance
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In this paper we introduce a new model of joint start-time dependent learning and position dependent aging effects into single-machine scheduling problems. The machine may need maintenance to improve its production efficiency. The objectives are to find jointly the optimal maintenance position and the optimal sequence such that the makespan, the total completion time, and the total absolute deviation of completion times (TADC) are minimized. We also aim to determine jointly the optimal maintenance position, the optimal due-window size and location, and the optimal sequence to minimize the sum of earliness, tardiness and due-window related costs function. We show that all the studied problems can be optimally solved by polynomial time algorithms. (C) 2010 Elsevier Inc. All rights reserved.
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