2004
DOI: 10.1023/b:wine.0000036458.88990.e5
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Stochastic Properties of the Random Waypoint Mobility Model

Abstract: Abstract-The random waypoint model is a commonly used mobility model for simulations of wireless communication networks. In this paper, we present analytical derivations of some fundamental stochastic properties of this model with respect to: (a) the length and duration of a movement epoch, (b) the chosen direction angle at the beginning of a movement epoch, and (c) the cell change rate of the random waypoint mobility model when used within the context of cellular networks. Our results and methods can be used … Show more

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Cited by 686 publications
(225 citation statements)
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“…∆d = n is the number of contending transmissions in our analysis. The required collision avoidance time Figure 1 shows the distribution of the number of slots according to Equation (2). Clearly, for any constant α, the appropriate collision avoidance time increases rapidly as the communication range R or average density ∆d grows.…”
Section: B Flooding Dilemma Below the Water Surfacementioning
confidence: 99%
“…∆d = n is the number of contending transmissions in our analysis. The required collision avoidance time Figure 1 shows the distribution of the number of slots according to Equation (2). Clearly, for any constant α, the appropriate collision avoidance time increases rapidly as the communication range R or average density ∆d grows.…”
Section: B Flooding Dilemma Below the Water Surfacementioning
confidence: 99%
“…In particular for the random waypoint model, ρ L is higher at the central area and lower at the boundary area [4] [5]. For location dependent distributions, the probability of (1) that there are exactly k nodes in a subarea A of the system area A (with respect to a tiny unit area) is changed to…”
Section: Underlying Spatial Modelmentioning
confidence: 99%
“…Let's use random way point (RWP) model, the most popular one currently used in simulation studies, as the underlying mobility model. The probability of mobile node's spatial distribution in RWP model has been extensively analyzed in various literatures [4] [5] [25]. For a network deployed in a bounded system area, let the random variable Ω = (X, Y ) denote the Cartesian location of a mobile node in the network area at an arbitrary time instant t. The spatial distribution of a node is expressed in terms of the probability density function…”
Section: Underlying Spatial Modelmentioning
confidence: 99%
“…Mobility model is chosen as Random Way Point (RWP) model (Bettstetter et al, 2004). In this model, a mobile node moves on a finite continuous plane from its current position to a new location by randomly choosing its destination coordinates, its speed of movement and the amount of time that it will pause when it reaches the destination.…”
Section: Fig 1: Cross Layer Frameworkmentioning
confidence: 99%