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Erschienen in: The Journal of Supercomputing 2/2014

01.08.2014

Approximation scheme for burst scheduling with minimum overhead in time slicing mobile TV

verfasst von: Satoshi Fujita

Erschienen in: The Journal of Supercomputing | Ausgabe 2/2014

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Abstract

In this paper, we consider the problem of minimizing switching overhead of burst scheduling in time slicing mobile TV broadcast systems. This problem was formulated by Hsu and Hefeeda, and was given an elegant approximation scheme with an approximation ratio of at least two. Our proposed scheme significantly improves the approximation ratio of the previous scheme. More concretely, it generates a burst schedule for mobile TV systems whose switching overhead is at most \((1/\ln 2)+\epsilon \simeq 1.4427\) times of optimum, where \(\ln \) is the natural logarithm and \(\epsilon \) is arbitrary positive constant. Our scheme is a combination of a binary partion of burst cycles and a shifting method which is commonly used for the analysis of approximation algorithms designed for unit disk graphs.

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Fußnoten
1
More precisely, they used a different metric from ours’ indicating how long each node can sleep in a unit time. However, since the length of sleeping time depends on the bit rate of the stream, it is more appropriate to directly evaluate the loss in the switching overhead.
 
2
Approximation ratio [4, 12] of an algorithm is defined as the quality of solution generated by the algorithm divided by the quality of an optimum solution. Thus, it is at least 1, and a smaller approximation ratio close to 1 is better.
 
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Metadaten
Titel
Approximation scheme for burst scheduling with minimum overhead in time slicing mobile TV
verfasst von
Satoshi Fujita
Publikationsdatum
01.08.2014
Verlag
Springer US
Erschienen in
The Journal of Supercomputing / Ausgabe 2/2014
Print ISSN: 0920-8542
Elektronische ISSN: 1573-0484
DOI
https://doi.org/10.1007/s11227-014-1093-1

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