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Avtomatika i Telemekhanika, 2020, Issue 5, Pages 119–138
DOI: https://doi.org/10.31857/S0005231020050086 (Mi at15487) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topical issue

Minimizing total weighted tardiness for scheduling equal-length jobs on a single machine

E. R. Gafarova, A. Lazareva, F. Wernerb

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany
Full-text PDF (587 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231020050086
Abstract: In this paper, we consider the problem of minimizing total weighted tardiness for equal-length jobs with arbitrary release dates on a single machine. This problem is mentioned as a minimal open problem, see http://www2.informatik.uni-osnabrueck.de/knust/class/dateien/classes/ein_ma/ein_ma, i.e., its complexity status is still open. The latest results on this problem were presented in the years 2000 and 2005, namely solution algorithms for special cases. We present some properties of this problem and discuss possible ways for future research.
Keywords: scheduling, single machine problems, maximization problems, total weighted tardiness, number of tardy jobs.
Funding agency Grant number
Russian Science Foundation 17-19-01665
This work was supported by the DAAD (Deutscher Akademischer Austauschdienst) no. 91695276, the Russian Foundation for Basic Research, project no. 18-07-00656, and the Russian Science Foundation, project no. 17-19-01665.
Presented by the member of Editorial Board: F. T. Aleskerov

Received: 07.07.2019
Revised: 03.11.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 5, Pages 853–868
DOI: https://doi.org/10.1134/S0005117920050069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. R. Gafarov, A. Lazarev, F. Werner, “Minimizing total weighted tardiness for scheduling equal-length jobs on a single machine”, Avtomat. i Telemekh., 2020, no. 5, 119–138; Autom. Remote Control, 81:5 (2020), 853–868
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:16
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