2013
DOI: 10.1109/tc.2012.30
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Generalizing the Square Root Rule for Optimal Periodic Scheduling in Push-Based Wireless Environments

Abstract: The present paper proposes a generalization of the square root rule for optimal periodic scheduling. The rule defines a ratio of item occurrences in a schedule, which minimizes the mean serving time. However, the actual number of each item's occurrences must be an integer. Therefore, the square root rule assumes large schedules, in order for the ratio to hold with acceptable precision. The present paper introduces an analysis-derived formula which connects the mean serving time and the size of the schedule. Th… Show more

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Cited by 4 publications
(2 citation statements)
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“…The schedule of such broadcasts and its adaptivity to the traffic pattern of the nanonodes is another open direction. Studies on broadcast scheduling can constitute the starting basis for this direction [14].…”
Section: A Research Directionsmentioning
confidence: 99%
“…The schedule of such broadcasts and its adaptivity to the traffic pattern of the nanonodes is another open direction. Studies on broadcast scheduling can constitute the starting basis for this direction [14].…”
Section: A Research Directionsmentioning
confidence: 99%
“…Equations (20) and (22) are the prerequisites for the Periodicity Extraction Technique of [21]. According to it, lim R!1 DðuÞ Á R % DðuÞ Á R, since DðuÞ Á R is periodic.…”
Section: Formulations Of Dmentioning
confidence: 99%