2014
DOI: 10.1007/s10951-014-0389-6
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Line search method for solving a non-preemptive strictly periodic scheduling problem

Abstract: This paper is an extended version of the paper published In G. Kendall, G. Vanden Berghe, and B. McCollum, editors, 6 th Multidisciplinary International Conference on Scheduling: Theory and Applications (MISTA), pages 356-371, Ghent, Belgium, 2013. ISSN: 2305-249XInternational audienceWe study a non-preemptive strictly periodic scheduling problem. This problem arises for example in the avionic field where a set of N periodic tasks (measure of a sensor, data presentation, etc.) has to be scheduled on P processo… Show more

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Cited by 16 publications
(13 citation statements)
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“…The pseudo-code for this equilibrium-based heuristic is given in Algorithm 3. This heuristic converges and can reach one or more fixed points after a finite number of iterations (The proof of this property is similar to those proposed in Al-Sheikh et al [1] and Pira and Artigues [12]). …”
Section: Equilibrium-based Heuristicsupporting
confidence: 67%
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“…The pseudo-code for this equilibrium-based heuristic is given in Algorithm 3. This heuristic converges and can reach one or more fixed points after a finite number of iterations (The proof of this property is similar to those proposed in Al-Sheikh et al [1] and Pira and Artigues [12]). …”
Section: Equilibrium-based Heuristicsupporting
confidence: 67%
“…As the authors did in Al-Sheikh et al [2] and in Pira and Artigues [12], we assume that τ i does not change its center or assignment if the best response procedure does not improve its current scaling factor. That is to say: if…”
Section: Equilibrium-based Heuristicmentioning
confidence: 99%
“…All partitions take turns to select their offsets and assignments such that their computation times can be scaled as much as possible. This kind of solution is called the best response solution, which was firstly introduced by Al Sheikh et al [1, 26], and also studied by Pira and Artigues [6, 22]. …”
Section: Best Response Algorithmmentioning
confidence: 99%
“…As the authors did in Al Sheikh et al [1] and in Pira and Artigues [22], we assume that τ i does not change its center or assignment if the best response procedure does not improve its current scaling factor. That is to say: if , and .…”
Section: Best Response Algorithmmentioning
confidence: 99%
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