Mertzios, G.B. and Unger, W. (2010) 'Preemptive scheduling of equal-length jobs in polynomial time.', Mathematics in computer science., 3 (1). pp. 73-84.
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.
|Additional Information:||Issue title: 'Advances in combinatorial algorithms I'.|
|Keywords:||Machine scheduling, Preemptive scheduling, Equal-length jobs, Parameterized algorithm, Polynomial algorithm.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1007/s11786-009-0003-z|
|Publisher statement:||The final publication is available at Springer via http://dx.doi.org/10.1007/s11786-009-0003-z.|
|Record Created:||15 Dec 2011 12:35|
|Last Modified:||08 Sep 2014 10:46|
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