Abstract
This article studies the single-machine scheduling problem with due date assignments, deteriorating jobs, and past-sequence-dependent delivery times. Under three assignments (i.e., common, slack, and different due dates), the goal is to determine a feasible sequence and due dates of all jobs in order to minimize the weighted sum of earliness, tardiness, and due date costs of all jobs, where the weight is not related to the job but to the position in which some job is scheduled. Through a series of optimal properties, efficient and fast polynomial time algorithms are designed for solving the studied scheduling problem with three due date assignments.
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Acknowledgements
We thank three anonymous reviewers for their valuable suggestions and comments.
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This work was supported by the National Key Research and Development Program of China (2021YFB3301801) and the National Natural Science Foundation of China (71971165). This work was also supported by LiaoNing Revitalization Talents Program (Grant No. XLYC2002017).
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Pan, L., Sun, X., Wang, JB. et al. Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs. J Comb Optim 45, 100 (2023). https://doi.org/10.1007/s10878-023-01025-6
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DOI: https://doi.org/10.1007/s10878-023-01025-6