Dr George Mertzios george.mertzios@durham.ac.uk
Associate Professor
We study the preemptive scheduling problem of a set of n jobs with release times and equal processing times on a single machine. The objective is to minimize the sum of the weighted completion times åi=1nwiCini=1wiCi of the jobs. We propose for this problem the first parameterized algorithm on the number k of different weights. The runtime of the proposed algorithm is O((\fracnk+1)kn8)Okn+1kn8 and hence, the problem is polynomially solvable for any fixed number k of different weights.
Mertzios, G., & Unger, W. (2010). Preemptive scheduling of equal-length jobs in polynomial time. Mathematics in Computer Science, 3(1), 73-84. https://doi.org/10.1007/s11786-009-0003-z
Journal Article Type | Article |
---|---|
Publication Date | Mar 1, 2010 |
Deposit Date | Dec 8, 2011 |
Publicly Available Date | Jan 10, 2012 |
Journal | Mathematics in Computer Science |
Print ISSN | 1661-8270 |
Electronic ISSN | 1661-8289 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 3 |
Issue | 1 |
Pages | 73-84 |
DOI | https://doi.org/10.1007/s11786-009-0003-z |
Keywords | Machine scheduling, Preemptive scheduling, Equal-length jobs, Parameterized algorithm, Polynomial algorithm. |
Public URL | https://durham-repository.worktribe.com/output/1524682 |
Accepted Journal Article
(210 Kb)
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Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s11786-009-0003-z.
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