NDLI: Evolving Random Geometric Graph Models for Mobile Wireless Networks

Content Provider	IEEE Xplore Digital Library
Author	Karamchandani, N. Manjunath, D. Yogeshwaran, D. Iyer, S.K.
Copyright Year	2006
Description	Author affiliation: Dept. of ECE, UCSD, San Diego (Karamchandani, N.)
Abstract	We consider evolving exponential RGGs in one dimension and characterize the time dependent behavior of some of their topological properties. We consider two evolution models and study one of them detail while providing a summary of the results for the other. In the first model, the inter-nodal gaps evolve according to an exponential AR(1) process that makes the stationary distribution of the node locations exponential. For this model we obtain the one-step conditional connectivity probabilities and extend it to the k-step case. Finite and asymptotic analysis are given. We then obtain the k-step connectivity probability conditioned on the network being disconnected. We also derive the pmf of the first passage time for a connected network to become disconnected. We then describe a random birth-death model where at each instant, the node locations evolve according to an AR(1) process. In addition, a random node is allowed to die while giving birth to a node at another location. We derive properties similar to those above.
Starting Page	1
Ending Page	7
File Size	221626
Page Count	7
File Format	PDF
ISBN	0780395492
DOI	10.1109/WIOPT.2006.1666441
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-02-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Solid modeling Wireless sensor networks Wireless networks Stochastic processes Throughput Mathematics Probability distribution Ad hoc networks Mobile ad hoc networks Context modeling
Content Type	Text
Resource Type	Article

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