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 (3 2 + 3 5) to ( + 1) 2, where is the layers of a cluster. For a mesh configuration, our approach reduces the states from (2 2 2 + 1) to ( 2 + 2 + 4) 4 if is even and to ( 2 + 2 + 5) 4 if 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.
Ian F. Akyildiz REF et al have proposed a simplified random walk model for hexagonal cell configuration where, probability states gives performance of the model.
A new random walk model for PCS networks
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Computer Science