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arXiv · 1711.03720

Scheduling with regular performance measures and optional job rejection on a single machine

Baruch Mor·Dana Shapira
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Abstract

We address single machine problems with optional jobs - rejection, studied recently in Zhang et al. [21] and Cao et al. [2]. In these papers, the authors focus on minimizing regular performance measures, i.e., functions that are non-decreasing in the jobs completion time, subject to the constraint that the total rejection cost cannot exceed a predefined upper bound. They also prove that the considered problems are ordinary NP-hard and provide pseudo-polynomial-time Dynamic Programming (DP) solutions. In this paper, we focus on three of these problems: makespan with release-dates; total completion times; and total weighted completion, and present enhanced DP solutions demonstrating both theoretical and practical improvements. Moreover, we provide extensive numerical studies verifying their efficiency.

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Baruch Mor, Dana Shapira. 2017-11-10. Scheduling with regular performance measures and optional job rejection on a single machine. https://arxiv.org/abs/1711.03720

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