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Energy Optimal Routing in Radio Networks Using Geometric Data Structures

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Automata, Languages and Programming (ICALP 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2380))

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Abstract

Given the current position of n sites in a radio network, we discuss the problem of finding routes between pairs of sites such that the energy consumption for this communication is minimized. Though this can be done using Dijkstra’s algorithm on the complete graph in quadratic time, it is less clear how to do it in near linear time. We present such algorithms for the important case where the transmission cost between two sites is the square of their Euclidean distance plus a constant offset. We give an \( \mathcal{O}\left( {kn log n} \right) \) time algorithm that finds an optimal path with at most k hops, and an \( \mathcal{O}\left( {n^{1 + \varepsilon } } \right) \) time algorithm for the case of an unrestricted number of hops. The algorithms are based on geometric data structures ranging from simple 2-dimensional Delau-nay triangulations to more sophisticated proximity data structures that exploit the special structure of the problem.

This work was partially supported by DFG grant SA 933/1-1 and the Future and Emerging Technologies programme of the EU under contract number IST-1999-14186 (ALCOM-FT).

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© 2002 Springer-Verlag Berlin Heidelberg

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Beier, R., Sanders, P., Sivadasan, N. (2002). Energy Optimal Routing in Radio Networks Using Geometric Data Structures. In: Widmayer, P., Eidenbenz, S., Triguero, F., Morales, R., Conejo, R., Hennessy, M. (eds) Automata, Languages and Programming. ICALP 2002. Lecture Notes in Computer Science, vol 2380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45465-9_32

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  • DOI: https://doi.org/10.1007/3-540-45465-9_32

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  • Print ISBN: 978-3-540-43864-9

  • Online ISBN: 978-3-540-45465-6

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