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A new random walk model for PCS networks
Akyildiz, I.F.; Yi-Bing Lin; Wei-Ru Lai; Rong-Jaye Chen;
Selected Areas in Communications, IEEE Journal on
Volume 18,
Issue 7,
July 2000
Page(s):1254
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1260
Abstract:
This paper proposes a new approach to simplify the two-dimensional random walk models capturing the movement of mobile users in personal communications services (PCS) networks. Analytical models are proposed for the new random walks. For a PCS network with hexagonal configuration, our approach reduces the states of the two-dimensional random walk from (3n2+3n-5) to n(n+1)/2, where n is the layers of a cluster. For a mesh configuration, our approach reduces the states from (2n2-2n+1) to (n2+2n+4)/4 if n is even and to (n 2+2n+5)/4 if n is odd. Simulation experiments are conducted to validate the analytical models. The results indicate that the errors between the analytical and simulation models are within 1%. Three applications (i.e., microcell/macrocell configuration, distance-based location update, and GPRS mobility management for data routing) are used to show how our new model can be used to investigate the performance of PCS networks
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