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Minimizing the sum of weighted completion times in a concurrent open shop
KTH, School of Computer Science and Communication (CSC), Theoretical Computer Science, TCS.
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2010 (English)In: Operations Research Letters, ISSN 0167-6377, E-ISSN 1872-7468, Vol. 38, no 5, 390-395 p.Article in journal (Refereed) Published
Abstract [en]

We study minimizing the sum of weighted completion times in a concurrent open shop. We give a primal-dual 2-approximation algorithm for this problem. We also show that several natural linear programming relaxations for this problem have an integrality gap of 2. Finally, we show that this problem is inapproximable within a factor strictly less than 6/5 if not equal NP, or strictly less than 4/3 if the Unique Games Conjecture also holds. (C) 2010 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2010. Vol. 38, no 5, 390-395 p.
Keyword [en]
Scheduling, Integrality gap, Approximation algorithm, Hardness of approximation
Identifiers
URN: urn:nbn:se:kth:diva-46623DOI: 10.1016/j.orl.2010.04.011ISI: 000282458100012Scopus ID: 2-s2.0-77957899966OAI: oai:DiVA.org:kth-46623DiVA: diva2:455140
Note
QC 20111108Available from: 2011-11-08 Created: 2011-11-04 Last updated: 2017-12-08Bibliographically approved

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