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New algorithms for coupled tasks scheduling – a survey

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. jblazewicz@cs.put.poznan.pl 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 for beam steering software of sophisticated radar devices, called phased arrays. Due to increasing popularity of such radars, the importance of coupled tasks scheduling is constantly growing. Unfortunately, most of the coupled tasks problems are NP-hard, and only a few practically usable algorithms for such problems were found. This paper provides a survey of already known complexity results of various variants of coupled tasks problems. Then, it complements previous results by providing experimental results of two new polynomial algorithms for coupled tasks scheduling, which are: an exact algorithm for 1|(1,4,1),strictchains|Cmax problem, and a fast heuristic algorithm for more general 1|(1,2k, 1), strictchains|Cmax problem, 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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