Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review
Operations Research
Parallel Processor Scheduling Problems with Optimal Due Interval Determination
ENC '04 Proceedings of the Fifth Mexican International Conference in Computer Science
Soft Due Window Assignment and Scheduling on Parallel Machines
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Due window scheduling for parallel machines
Mathematical and Computer Modelling: An International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
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The single machine scheduling problem to minimize maximum weighted absolute deviations of job completion times from a common due-date, is known to be NP-hard. However, two special cases have been shown to have polynomial time solutions: the case of unit processing time jobs, and the case of due-date assignment for a given job sequence. We extend both cases to a setting of a common due-window. We show that the unit-job problem includes 12 different sub-cases, depending on the size and location of the (given) due-window. Scheduling and due-window assignment for a given job sequence is solved for a single machine, for parallel identical machines and for flow-shops. For each of the above cases, an appropriate special-structured linear program is presented.