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2D correlated diffusion process for mobility modeling in mobile networks

Çakar, Tunç
This thesis introduces a novel mobility model based on so called أ2D correlated diffusion processؤ. In this model, motion components over x and y axes are dependent. Joint density function of the process is derived. The expected exit time from an arbitrary domain is characterized by a boundary value problem. Analytical solution of this problem is given for a specific case. Numerical solution of the problem is presented by several examples. The results obtained in these examples are verified by simulations. The expected exit time computed by this method holds for any given 2D domain and any given starting position inside.