ICAR Research Data Repository for Knowledge Management
LIMIT LAWS FOR k-COVERAGE OF PATHS BY A MARKOV-POISSON-BOOLEAN MODEL
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
LIMIT LAWS FOR k-COVERAGE OF PATHS BY A MARKOV-POISSON-BOOLEAN MODEL
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| Creator |
IYER, SK
MANJUNATH, D YOGESHWARAN, D |
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| Subject |
coverage
markov process poisson-boolean model sensor networks target tracking |
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| Description |
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.
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| Publisher |
TAYLOR & FRANCIS INC
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| Date |
2011-08-30T17:40:57Z
2011-12-26T12:59:05Z 2011-12-27T05:49:58Z 2011-08-30T17:40:57Z 2011-12-26T12:59:05Z 2011-12-27T05:49:58Z 2008 |
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| Type |
Article
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| Identifier |
STOCHASTIC MODELS, 24(4), 558-582
1532-6349 http://dx.doi.org/10.1080/15326340802427448 http://dspace.library.iitb.ac.in/xmlui/handle/10054/12410 http://hdl.handle.net/10054/12410 |
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| Language |
en
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