2006 40th Annual Conference on Information Sciences and Systems 2006
DOI: 10.1109/ciss.2006.286649
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Stochastic Properties of Mobility Models in Mobile Ad Hoc Networks

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Cited by 14 publications
(21 citation statements)
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“…1 depicts an example of possible transitions of p-BRW from a node to one of its neighbors. We also emphasize that the p-BRW is general enough and includes several random walks such as SRW, CRW on I-D ring [4], [6], non-backtracking random walk (NBRW) on regular graphs [2] as special cases. A detailed discussion on the special cases of p-BRW can be found in our technical report [ 10].…”
Section: A P-backtracking Random Walkmentioning
confidence: 99%
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“…1 depicts an example of possible transitions of p-BRW from a node to one of its neighbors. We also emphasize that the p-BRW is general enough and includes several random walks such as SRW, CRW on I-D ring [4], [6], non-backtracking random walk (NBRW) on regular graphs [2] as special cases. A detailed discussion on the special cases of p-BRW can be found in our technical report [ 10].…”
Section: A P-backtracking Random Walkmentioning
confidence: 99%
“…However, once the packet is forwarded to one of neighbors of node i, the behavior of packet transition over I-D ring and the average sojourn time will be different. In this regard, we first establish a mapping between the packet transition over I-D ring and the transition of a correlated random walk (CRW) [4], [6] on I-D ring. In the CRW on I-D ring, the walk at a vertex moves to its neighbor in the same direction (right or left) that the walk has taken, with probability (say p) larger than 0.5; otherwise, it changes the direction and moves to its another neighbor.…”
Section: Smart Sleep: How To Sleep More and Bettermentioning
confidence: 99%
“…It is known that with random mobility [41], the distribution and statistical measures of the Poisson Point Process are not altered. This is because each time interval is another realization of the Poisson Point Process.…”
Section: Effect Of Mobilitymentioning
confidence: 99%
“…This is because each time interval is another realization of the Poisson Point Process. Other mobility models, like those having temporal or spatial dependencies, or geographic restrictions, [42] may alter the node geometry of the network [41].…”
Section: Effect Of Mobilitymentioning
confidence: 99%
“…In this latter context, the use of location information at the physical layer, in order to deliver increased performance via the use of spatial diversity, has garnered much interest in the recent research literature [1]- [5].…”
Section: Introductionmentioning
confidence: 99%