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Scheduling of identical jobs with bipartite incompatibility graphs on uniform machines. Computational experiments
Abstract
We consider the problem of scheduling unit-length jobs on three or four uniform parallel machines to minimize the schedule length or total completion time. We assume that the jobs are subject to some types of mutual exclusion constraints, modeled by a bipartite graph of a bounded degree. The edges of the graph correspond to the pairs of jobs that cannot be processed on the same machine. Although the problem is generally NP-hard, we show that our problem can be solved to optimality in polynomial time under some restrictions imposed on the number of machines, their speeds, and the structure of the incompatibility graph. The theoretical considerations are accompanied by computer experiments with a certain model of scheduling.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.7494/dmms.2017.11.1-2.53
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
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Decision Making in Manufacturing and Services
no. 11,
pages 53 - 61,
ISSN: 1896-8325 - Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Duraj S., Kopeć P., Kubale M., Pikies T.: Scheduling of identical jobs with bipartite incompatibility graphs on uniform machines. Computational experiments// Decision Making in Manufacturing and Services. -Vol. 11., nr. 1-2 (2017), s.53-61
- DOI:
- Digital Object Identifier (open in new tab) 10.7494/dmms.2017.11.1-2.53
- Verified by:
- Gdańsk University of Technology
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