Online LPT algorithms for parallel machines scheduling with a single server

Chunjie Su ()
Additional contact information
Chunjie Su: East China University of Science and Technology

Journal of Combinatorial Optimization, 2013, vol. 26, issue 3, No 7, 480-488

Abstract: Abstract We consider two parallel machines scheduling problems with a single server. For the general case we present an online LPT algorithm with competitive ratio 2, and give a lower bound $\frac{\sqrt{5} + 1}{2}$ . We also apply the online LPT algorithm to the special case where all the setup times are equal to 1. We show that the competitive ratio is 1.5, and no online algorithm can has a competitive ratio less than $\sqrt{2}$ .

Keywords: Parallel machines; Server; Online algorithm; Competitive ratio (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10878-011-9441-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jcomop:v:26:y:2013:i:3:d:10.1007_s10878-011-9441-z

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878

DOI: 10.1007/s10878-011-9441-z

Access Statistics for this article

Journal of Combinatorial Optimization is currently edited by Thai, My T.

More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().