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Random waypoint mobility model in cellular networks

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In this paper we study the so-called random waypoint (RWP) mobility model in the context of cellular networks. In the RWP model the nodes, i.e., mobile users, move along a zigzag path consisting of straight legs from one waypoint to the next. Each waypoint is assumed to be drawn from the uniform distribution over the given convex domain. In this paper we characterise the key performance measures, mean handover rate and mean sojourn time from the point of view of an arbitrary cell, as well as the mean handover rate in the network. To this end, we present an exact analytical formula for the mean arrival rate across an arbitrary curve. This result together with the pdf of the node location, allows us to compute all other interesting measures. The results are illustrated by several numerical examples. For instance, as a straightforward application of these results one can easily adjust the model parameters in a simulation so that the scenario matches well with, e.g., the measured sojourn times in a cell.

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Correspondence to Esa Hyytiä.

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This work has been supported by the Academy of Finland (grant n:o 74524) and the Finnish Defence Forces Technical Research Center.

Esa Hyytiä received the M.Sc. (Tech.) degree in engineering physics and Lic.Sc. (Tech.) and Dr.Sc. (Tech.) degrees in electrical engineering from the Helsinki University of Technology, in 1998, 2001 and 2004, respectively. He is currently working in the Centre for Quantifiable Quality of Service in Communication Systems at the Norwegian University of Science and Technology, Trondheim, Norway. His research interests include performance analysis, design and optimization of optical and wireless networks.

Jorma Virtamo received the M.Sc. (Tech.) degree in engineering physics and D.Sc. (Tech.) degree in theoretical physics from the Helsinki University of Technology, in 1970 and 1976, respectively. In 1986, he joined the Technical Research Centre of Finland, VTT Information Technology, where he led a teletraffic research group, and became a Research Professor in 1995. Since 1997 he has been a Professor in the Networking Laboratory of the Helsinki University of Technology. His current research interests include queueing theory and performance analysis and control of the Internet, wireless networks and ad hoc networks.

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Hyytiä, E., Virtamo, J. Random waypoint mobility model in cellular networks. Wireless Netw 13, 177–188 (2007).

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