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A note on efficient sequences with respect to total flow time and number of tardy jobs

Murat Güngör

Naval Research Logistics (NRL), 2016, vol. 63, issue 4, 346-348

Abstract: For the single‐machine scheduling problem with the objective of simultaneously minimizing total flow time and number of tardy jobs, a lower bound on the number of efficient sequences is known. However, the proof thereof, which makes use of a modified version of Smith's algorithm, is unduly lengthy and sophisticated. Adopting a totally new point of view, we present in this short article a much simpler proof based on the naive idea of pairwise interchange. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 346–348, 2016

Date: 2016
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https://doi.org/10.1002/nav.21694

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