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Parametric analysis of the quality of single preemption schedules on three uniform parallel machines

Parametric analysis of the quality of single preemption schedules on three uniform parallel machines

Soper, Alan J. ORCID: 0000-0002-0901-9803 and Strusevich, Vitaly A. (2018) Parametric analysis of the quality of single preemption schedules on three uniform parallel machines. Annals of Operations Research. ISSN 0254-5330 (Print), 1572-9338 (Online) (In Press) (doi:https://doi.org/10.1007/s10479-018-2952-6)

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Abstract

For a scheduling problem to minimize the makespan on three uniform parallel machines we present a parametric analysis of the quality of a schedule with at most one preemption compared to the global optimal schedule with any number of preemptions. A tight bound is derived as a function of the relative speeds of the machines, provided that two of the machines have the same speed.

Item Type: Article
Additional Information: © The Author(s) 2018. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Uncontrolled Keywords: Scheduling, Uniform parallel machines, Power of preemption
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 01 Feb 2019 15:33
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/20879

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