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Abstract
We study the shared processor scheduling problem with a single shared processor to maximize total weighted overlap, where an overlap for a job is the amount of time it is processed on its private and shared processor in parallel. A polynomial-time optimization algorithm has been given for the problem with equal weights in the literature. This paper extends that result by showing an (log)-time optimization algorithm for a class of instances in which non-decreasing order of jobs with respect to processing times provides a non-increasing order with respect to weights—this instance generalizes the unweighted case of the problem. This algorithm also leads to a 1/2-approximation algorithm for the general weighted problem. The complexity of the weighted problem remains open.
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Authors (2)
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Wiesław Kubiak
- Faculty of Business Administration Memorial University
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s10951-018-0566-0
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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JOURNAL OF SCHEDULING
no. 21,
edition 6,
pages 583 - 593,
ISSN: 1094-6136 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Dereniowski D., Kubiak W.: Shared processor scheduling// JOURNAL OF SCHEDULING. -Vol. 21, iss. 6 (2018), s.583-593
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s10951-018-0566-0
- Verified by:
- Gdańsk University of Technology
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