Scheduling jobs with equal processing times subject to machine eligibility constraints
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We consider the problem of nonpreemptively scheduling a set of n jobs with equal processing times on m parallel machines so as to minimize the makespan. Each job has a prespecified set of machines on which it can be processed, called its eligible set. We consider the most general case of machine eligibility constraints as well as special cases of nested and inclusive eligible sets. Both online and offline models are considered. For offline problems we develop optimal algorithms that run in polynomial time, while for online problems we focus on the development of optimal algorithms of a new and more elaborate structure as well as approximation algorithms with good competitive ratios.
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- Scheduling jobs with equal processing times subject to machine eligibility constraints
Journal of Scheduling
Volume 14, Issue 1 , pp 27-38
- Cover Date
- Print ISSN
- Online ISSN
- Springer US
- Additional Links
- Parallel machine scheduling
- Eligibility constraint
- Nested and inclusive eligible sets
- Equal-processing-time jobs
- Online and offline scheduling
- Competitive ratio
- Worst-case ratio
- Industry Sectors
- Author Affiliations
- 1. Department of Information, Operations & Management Sciences, Stern School of Business, New York University, 44 West 4th Street, New York, NY, 10012-1126, USA
- 2. Department of Computer Science, New Jersey Institute of Technology, Newark, NJ, 07102, USA