Line search method for solving a non-preemptive strictly periodic scheduling problem. In proceedings of the 6th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2013), 27 - 30 Aug 2013, Ghent, Belgium, pages 356-371, 2013.
Paper
We study a non-preemptive strictly periodic scheduling problem. This problem arises for example in the avionic ?eld where a set of N periodic tasks (measure of a sensor, data presentation, etc.) has to be scheduled on P processors distributed on the plane. In this article, we consider an existing heuristic which is based on the notion of equilibrium. Following a game theory analogy, each task tries successively to optimize its own schedule and therefore to produce the best response, given the other schedules. We present a new method to compute the best response, and a propagation mechanism for non-overlapping constraints, which signi?cantly improves this heuristic. These improvements allow the heuristic to compare favorably with MILP solutions.
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@INPROCEEDINGS{2013-356-371-P, author = {C. Pira and C. Artigues },
title = {Line search method for solving a non-preemptive strictly periodic scheduling problem},
booktitle = {In proceedings of the 6th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2013), 27 - 30 Aug 2013, Ghent, Belgium},
year = {2013},
editor = {G. Kendall and B. McCollum and G. {Venden Berghe}},
pages = {356--371},
note = {Paper},
abstract = {We study a non-preemptive strictly periodic scheduling problem. This problem arises for example in the avionic ?eld where a set of N periodic tasks (measure of a sensor, data presentation, etc.) has to be scheduled on P processors distributed on the plane. In this article, we consider an existing heuristic which is based on the notion of equilibrium. Following a game theory analogy, each task tries successively to optimize its own schedule and therefore to produce the best response, given the other schedules. We present a new method to compute the best response, and a propagation mechanism for non-overlapping constraints, which signi?cantly improves this heuristic. These improvements allow the heuristic to compare favorably with MILP solutions.},
owner = {Graham},
timestamp = {2017.01.16},
webpdf = {2013-356-371-P.pdf} }