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2019 | OriginalPaper | Buchkapitel

The Convergecast Scheduling Problem on a Regular Triangular Grid

verfasst von : Adil Erzin, Roman Plotnikov

Erschienen in: Mathematical Optimization Theory and Operations Research

Verlag: Springer International Publishing

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Abstract

The problem of conflict-free data aggregation in an arbitrary graph is NP-hard. On a square unit grid, in each node of which a sensor is located, the problem is polynomially solvable. For the case when the graph is a regular triangular grid, the upper bound on the length of the schedule of conflict-free data aggregation was previously known. In this paper, the refined estimates are given for the length of the schedule of conflict-free data aggregation on a triangular grid, as well as polynomially solvable cases are found and algorithms for constructing optimal and approximate schedules are proposed.

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Metadaten
Titel
The Convergecast Scheduling Problem on a Regular Triangular Grid
verfasst von
Adil Erzin
Roman Plotnikov
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-33394-2_28