Iyer, Srikanth K and Manjunath, D and Yogeshwaran, D
(2008)
*Limit Laws for k-Coverage of Paths by a Markov-Poisson-Boolean Model.*
In: Stochastic Models, 24
(4).
pp. 558-582.

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## Abstract

Let P := {Xi}(i >= 1) be a stationary Poisson point process R-d, {C-i}(i >= 1) be a sequence of i.i.d. random sets in R-d, and {Y-t(i); t >= 0}(i >= 1) be i.i.d. {0,1}-valued continuous time stationary Markov chains. We define the Markov-Poisson-Boolean model C-t :={Y-i(t) (X-i + C-i), i >= 1}. C-t represents the coverage process at time t. We first obtain limit laws for k-coverage of an area at an arbitrary instant. We then obtain the limit laws for the k-coverage seen by a particle as it moves along a one-dimensional path.

Item Type: | Journal Article |
---|---|

Publication: | Stochastic Models |

Publisher: | Taylor and Francis Group |

Additional Information: | Copyright of this article belongs to Taylor and Francis Group. |

Keywords: | Coverage;Markov process;Poisson-Boolean model;Sensor networks;Target tracking. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 03 Jul 2009 12:04 |

Last Modified: | 03 Mar 2011 07:23 |

URI: | http://eprints.iisc.ac.in/id/eprint/16825 |

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