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Avtomat. i Telemekh., 2020, Issue 5, Pages 119–138 (Mi at15487)  

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

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.


DOI: https://doi.org/10.1134/S0005231019050086

Full text: PDF file (587 kB)
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English version:
Automation and Remote Control, 2020, 81:5, 853–868

Bibliographic databases:

Presented by the member of Editorial Board: Ф. Т. Алескеров

Received: 07.07.2019
Revised: 03.11.2019
Accepted: 28.11.2019

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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\by E.~R.~Gafarov, A.~Lazarev, F.~Werner
\paper Minimizing total weighted tardiness for scheduling equal-length jobs on a single machine
\jour Avtomat. i Telemekh.
\yr 2020
\issue 5
\pages 119--138
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\crossref{https://doi.org/10.1134/S0005231019050086}
\elib{https://elibrary.ru/item.asp?id=43282767}
\transl
\jour Autom. Remote Control
\yr 2020
\vol 81
\issue 5
\pages 853--868
\crossref{https://doi.org/10.1134/S0005117920050069}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85084268313}


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