Title

Sentry selection in sensor networks: A sufficient condition for k single covers

Abstract

Wireless sensor networks are becoming increasingly popular due to their numerous applications and advances in microelectronics. One basic application is the surveillance or monitoring of large areas. Assuming n sensor nodes are randomly deployed and each sensor can cover a circular area of a certain radius r, a central question is what fraction the total area of interest can be expected to be covered (as a function of n and r). This question has been answered for certain cases. We present a recent result on a related problem, the so-called sentry selection problem. In practical applications, it is desirable to turn most of the sensor nodes off to conserve energy, while having a subset of nodes active acting as sentries. After a certain period of time, the sentry duty is moved to a disjoint set of nodes, and so on. Let the desired number of subsets be k. Then the sentry selection problem is the following: Find the minimum radius r such that there exists a partition of the node set into k subsets that each provide a (single) cover of the area of interest. Note that this is different from asking for k-coverage, since a k-cover may not be divisible into k single covers. © 2008 IEEE.

Publication Title

International Zurich Seminar on Digital Communications

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