Issue |
RAIRO-Oper. Res.
Volume 47, Number 1, January-March 2013
|
|
---|---|---|
Page(s) | 73 - 87 | |
DOI | https://doi.org/10.1051/ro/2013028 | |
Published online | 07 March 2013 |
Scheduling an interval ordered precedence graph with communication delays and a limited number of processors
1
LIP6 – Université Pierre et Marie Curie,
4 place Jussieu,
75252
Paris Cedex 05,
France
alix.munier@lip6.fr
2
Laboratoire IBISC, 523 place des terrasses, 91000
Evry,
France
3
Kalray, 445 rue Lavoisier, 38330
Montbonnot Saint Martin,
France
4
LIPN, Laboratoire d’Informatique de l’Université Paris-Nord,
99 avenue Jean-Baptiste
Clment, 93430
Villetaneuse,
France
Received: 1 September 2009
Accepted: 24 January 2013
We consider the scheduling of an interval order precedence graph of unit execution time tasks with communication delays, release dates and deadlines. Tasks must be executed by a set of processors partitioned into K classes; each task requires one processor from a fixed class. The aim of this paper is to study the extension of the Leung–Palem–Pnueli (in short LPP) algorithm to this problem. The main result is to prove that the LPP algorithm can be extended to dedicated processors and monotone communication delays. It is also proved that the problem is NP–complete for two dedicated processors if communication delays are non monotone. Lastly, we show that list scheduling algorithm cannot provide a solution for identical processors.
Mathematics Subject Classification: 90B35
Key words: Approximation and complexity / combinatorial optimization / scheduling
© EDP Sciences, ROADEF, SMAI, 2013
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