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Abstrakty
In this paper we describe polynomial time algorithms for minimizing a separable convex function of the resource usage over time of a set of jobs with individual release dates and deadlines, and admitting a common processing time.
Rocznik
Tom
Strony
791--799
Opis fizyczny
Bibliogr. 14 poz., wz., tab., wykr., il.
Twórcy
autor
- ELKH SZTAKI Kende str. 13-17, Budapest, 1111, Hungary
- Department of Operations Research Loránd Eötvös University
autor
- ELKH SZTAKI Kende str. 13-17, Budapest, 1111, Hungary
Bibliografia
- 1. Ravindra K Ahuja, Thomas L Magnanti, and James B Orlin. Network flows. Prentice-Hall, Inc., New Jersey, 1993.
- 2. Philippe Baptiste. Scheduling equal-length jobs on identical parallel machines. Discrete Applied Mathematics, 103(1):21–32, 2000.
- 3. Philippe Baptiste, Peter Brucker, Sigrid Knust, and Vadim G. Timkovsky. Ten notes on equal-processing-time scheduling. Quarterly Journal of the Belgian, French and Italian Operations Research Societies, 2:111–127, 2004.
- 4. Jacek Błażewicz. Deadline scheduling of tasks with ready times and resource constraints. Information Processing Letters, 8(2):60–63, 1979.
- 5. Peter Brucker and Svetlana Kravchenko. Scheduling jobs with equal processing times and time windows on identical parallel machines. Journal of Scheduling, 11:229–237, 08 2008.
- 6. Mihai Burcea, Wing-Kai Hon, Hsiang-Hsuan Liu, Prudence W. Wong, and David K. Yau. Scheduling for electricity cost in a smart grid. Journal of Scheduling, 19(6):687–699, 2016.
- 7. Márton Drótos and Tamás Kis. Resource leveling in a machine environment. European Journal of Operational Research, 212(1):12–21, 2011.
- 8. Péter Györgyi, Tamás Kis, and Evelin Szögi. A polynomial time algorithm for solving the preemptive grid-scheduling problem. unpublished, 2023.
- 9. Bruce Hajek. Performance of global load balancing by local adjustment. IEEE Transactions on Information Theory, 36(6):1398–1414, 1990.
- 10. Nicholas JA Harvey, Richard E Ladner, László Lovász, and Tami Tamir. Semi-matchings for bipartite graphs and load balancing. Journal of Algorithms, 59(1):53–78, 2006.
- 11. Alexander V. Karzanov and S. Thomas McCormick. Polynomial methods for separable convex optimization in unimodular linear spaces with applications. SIAM Journal on Computing, 26(4):1245–1275, 1997.
- 12. Svetlana Kravchenko and Frank Werner. Minimizing the number of machines for scheduling jobs with equal processing times. European Journal of Operational Research, 199:595–600, 12 2009.
- 13. Svetlana Kravchenko and Frank Werner. Parallel machine problems with equal processing times: a survey. Journal of Scheduling, 14:435–444, 10 2011.
- 14. R. R. Meyer. A class of nonlinear integer programs solvable by a single linear program. SIAM J. Control Optim., 15(6):935–946, 1977.
Uwagi
1. Thematic Tracks Regular Papers
2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8a3eaffd-9705-4040-8fd0-fbf9cbcdc827