The exposure of a path p is a measure of the likelihood that an object traveling along p is detected by a network of sensors and it is formally defined as an integral over all points x of p of the sensibility (the strength of the signal coming from x) times the element of path length. The minimum exposure path (MEP) problem is, given a pair of points x and y inside a sensor field, find a path between x and y of a minimum exposure. In this paper we introduce the first rigorous treatment of the problem, designing an approximation algorithm for the MEP problem with guaranteed performance characteristics. Given a convex polygon P of size n with O(n) sensors inside it and any real number ε > 0, our algorithm finds a path in P whose exposure is within an 1 + ε factor of the exposure of the MEP, in time O(n/ε2ψ), where ψ is a topological characteristic of the field. We also describe a framework for a faster implementation of our algorithm, which reduces the time by a factor of approximately ⊖(1/ε), by keeping the same approximation ratio. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Djidjev, H. N. (2007). Efficient computation of minimum exposure paths in a sensor network field. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4549 LNCS, pp. 295–308). Springer Verlag. https://doi.org/10.1007/978-3-540-73090-3_20
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