Proceedings of the 16th Conference on Computer Science and Intelligence Systems

DOI: http://dx.doi.org/10.15439/2021F36

Citation: Proceedings of the 16th Conference on Computer Science and Intelligence Systems, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 25, pages 201–209 (2021)

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Abstract. In many scheduling environments, some jobs have higher priority than others.  We consider a new model, motivated by real-life behavior, in which the priority among jobs is defined by a dominance hierarchy. Specifically, the jobs are arranged in hierarchy levels, and high ranking jobs are ready to accept only outcomes in which the service they receive is better than the service of subordinate jobs. We define the model and the set of feasible schedules formally, and provide algorithms and hardness proofs for  two classical problems: minimizing the maximal tardiness and minimizing the number of tardy jobs.

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