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New algorithms for coupled tasks scheduling – asurvey

Published online by Cambridge University Press:  10 December 2012

Jacek Blazewicz ,
Grzegorz Pawlak ,
Michal Tanas  and
Wojciech Wojciechowicz
Jacek Blazewicz
Affiliation:
Institute of Bioorganic Chemistry, Polish Academy of Sciences, ul. Z. Noskowskiego 12/14, 61-704 Poznan, Poland. [email protected] Institute of Computing Science, Poznan University of Technology, ul. Piotrowo 2, 60-965 Poznan, Poland
Grzegorz Pawlak
Affiliation:
Institute of Computing Science, Poznan University of Technology, ul. Piotrowo 2, 60-965 Poznan, Poland
Michal Tanas
Affiliation:
Computer Science Division, Physics Faculty, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznan, Poland
Wojciech Wojciechowicz
Affiliation:
Institute of Computing Science, Poznan University of Technology, ul. Piotrowo 2, 60-965 Poznan, Poland
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Abstract

The coupled tasks scheduling problem is a class of scheduling problems introduced forbeam steering software of sophisticated radar devices, called phased arrays. Due toincreasing popularity of such radars, the importance of coupled tasks scheduling isconstantly growing. Unfortunately, most of the coupled tasks problems are NP-hard, andonly a few practically usable algorithms for such problems were found. This paper providesa survey of already known complexity results of various variants of coupled tasksproblems. Then, it complements previous results by providing experimental results of twonew polynomial algorithms for coupled tasks scheduling, which are: an exact algorithm for1|(1,4,1),strictchains|Cmax problem,and a fast heuristic algorithm for more general1|(1,2k, 1), strictchains|Cmaxproblem, where k ∈ ℕ.

Keywords

Coupled tasksschedulingcomplexity theoryheuristic algorithms
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 4 , October 2012 , pp. 335 - 353
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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