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Diskretn. Anal. Issled. Oper., 2015, Volume 22, Number 6, Pages 78–90 (Mi da834)  

Relaxations for the polyhedron of optimal schedules for the problem of interrupt-oriented service of jobs with a single machine

N. Yu. Shereshik

Omsk State University, 55-a Mir Ave., 644077 Omsk, Russia

Abstract: We consider the problem of minimizing the total service time of different jobs from one device preemption. We construct two classes of hyperplanes containing polyhedron of optimal schedules for this problem and describe computer experiments. Ill. 4, tab. 1, bibliogr. 6.

Keywords: scheduling theory, integer programming model, polytope, polyhedron, valid inequality, relaxation.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-07-01141


DOI: https://doi.org/10.17377/daio.2015.22.486

Full text: PDF file (334 kB)
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Bibliographic databases:

UDC: 519.1
Received: 11.04.2015
Revised: 16.08.2015

Citation: N. Yu. Shereshik, “Relaxations for the polyhedron of optimal schedules for the problem of interrupt-oriented service of jobs with a single machine”, Diskretn. Anal. Issled. Oper., 22:6 (2015), 78–90

Citation in format AMSBIB
\Bibitem{She15}
\by N.~Yu.~Shereshik
\paper Relaxations for the polyhedron of optimal schedules for the problem of interrupt-oriented service of jobs with a~single machine
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 6
\pages 78--90
\mathnet{http://mi.mathnet.ru/da834}
\crossref{https://doi.org/10.17377/daio.2015.22.486}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3497824}
\elib{http://elibrary.ru/item.asp?id=25124391}


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