Title :
On the k-coverage of line segments by a non homogeneous Poisson-Boolean model
Author :
Aditya, S.T. ; Manohar, Pallavi ; Manjunath, D.
Author_Institution :
Dept. of Electr. Eng., IIT Bombay, Mumbai, India
Abstract :
We consider k-coverage of a line by a two-dimensional, non homogeneous Poisson-Boolean model. This has applications in sensor networks. We extend the analysis of [1] to the case for k > 1. The extension requires us to define a vector Markov process that tracks the k segments that have the longest residual coverage at a point. This process is used to determine the probability of a segment of the line being completely covered by k or more sensors. We illustrate the extension by considering the case of k = 2.
Keywords :
Markov processes; vectors; wireless sensor networks; k-coverage line segments; nonhomogeneous Poisson-Boolean model; probability; vector Markov process; Density functional theory; Geometry; Markov processes; Probability density function; Sensor phenomena and characterization; Stochastic processes;
Conference_Titel :
Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, 2009. WiOPT 2009. 7th International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4919-4
Electronic_ISBN :
978-1-4244-4920-0
DOI :
10.1109/WIOPT.2009.5291571
