Approximability of average completion time scheduling on unrelated machines

R.A. Sitters

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

We show that minimizing the sum of completion times on unrelated machines is APX-hard if preemption of jobs is allowed. Additionally, we show that randomized rounding of a convex quadratic program gives a non-preemptive schedule for which the sum of weighted completion times is less than 1.81 times the optimal preemptive sum. This factor is 2.78 if release dates are involved. We sketch how the ratios can be reduced further.
Original languageEnglish
Title of host publicationAlgorithms - ESA 2008 (16th Annual European Symposium, Karlsruhe, Germany, September 15-17, 2008, Proceedings)
EditorsD. Halperin, K. Mehlhorn
Place of PublicationBerlin
PublisherSpringer
Pages768-779
ISBN (Print)978-3-540-87743-1
DOIs
Publication statusPublished - 2008

Publication series

NameLecture Notes in Computer Science
Volume5193
ISSN (Print)0302-9743

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