Volume 5, Issue 6 pp. 429-457
Research Article

Complexity results for parallel machine problems with a single server

Peter Brucker

Corresponding Author

Peter Brucker

Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany

Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, GermanySearch for more papers by this author
Clarisse Dhaenens-Flipo

Clarisse Dhaenens-Flipo

Leibniz - IMAG, 38031 Grenoble Cedex, France

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Sigrid Knust

Sigrid Knust

Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany

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Svetlana A. Kravchenko

Svetlana A. Kravchenko

Institute of Engineering Cybernetics, 220012 Minsk, Belarus

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Frank Werner

Frank Werner

Otto-von-Guericke-Universität, Fakultät für Mathematik, 39016 Magdeburg, Germany

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First published: 07 November 2002
Citations: 65

Abstract

Parallel machine problems with a single server are generalizations of classical parallel machine problems. Immediately before processing, each job must be loaded on a machine, which takes a certain set-up time. All these set-ups have to be done by a single server which can handle at most one job at a time. In this paper we continue studying the complexity aspects of server problems begun in Hall et al. (Discrete Appl. Math. 2000; 102: 223) and Kravchenko and Werner (Math. Comput. Model. 1997; 26: 1). New complexity results are derived for special cases. Copyright © 2002 John Wiley & Sons, Ltd.

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