On the Path Coverage by a Non Homogeneous Sensor Field
نویسندگان
چکیده
We analyze the statistical properties of the coverage of a one-dimensional path induced by a two dimensional non homogeneous random sensor network. The sensor locations form a non homogeneous Poisson process and the coverage area of each sensor are circles of random i.i.d. radii. We first describe the onedimensional coverage (sensing) process on the line and describe an equivalent time-inhomogeneous Mt/Gt/∞ queue whose busy period statistics will be equal to the coverage statistics of the line. This allows us to use the extensive literature on time-dependent infinite-server queues in obtaining the coverage statistics. We also obtain properties like conditional forward and backward hole-lengths. Additional results for the case of fixed coverage radius are obtained. We also obtain some numerical results for a deployment that has a Laplacian intensity function.
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