Abstract

In target monitoring problem, it is generally assumed that the whole target object can be monitored by a single sensor if the target falls within its sensing range. Unfortunately, this assumption becomes invalid when the target object is very large that a sensor can only monitor part of it. In this paper, we study the perimeter coverage problem where the perimeter of a big object needs to be monitored, but each sensor can only cover a single continuous portion of the perimeter. We describe how to schedule the sensors so as to maximize the network lifetime in this problem. We formally prove that the perimeter coverage scheduling problem is NP-hard in general. However, polynomial time solution exists in some special cases. We further identify the sufficient conditions for a scheduling algorithm to be a 2-approximation solution to the general problem, and propose a simple distributed 2-approximation solution with a small message overhead.

Highlights

  • Wireless sensor networks have caught lots of attention in recent years

  • Unlike that of [5], in this paper, we study the problem from the theoretical perspective and make the following contributions: (1) We formally prove that the perimeter coverage problem is NP-hard in general, but polynomial time solution exists in some special cases

  • We found that this problem is solvable in polynomial time under some special sensor configurations

Read more

Summary

Introduction

Wireless sensor networks have caught lots of attention in recent years. One of the major problems is the coverage problem. In [1,2,3,4], we studied how to identify a set of sensors to cover the perimeter of a large object with the minimum size and minimum cost. We are interested in how to schedule the sensors so as to maximize the network lifetime in the perimeter coverage problem. Unlike that of [5], in this paper, we study the problem from the theoretical perspective and make the following contributions: (1) We formally prove that the perimeter coverage problem is NP-hard in general, but polynomial time solution exists in some special cases.

Related Work
Figure 3
Proper Set of Sensors
General Set of Sensors
Approximation Solutions
Properties of Proper Covers
Simulation Results
12: If j cannot extend the cover range of set m then
Conclusion and Future Work
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call