PDE based Analysis for Propagation of Disturbance by Users Mobility in Mobile Network System

Abstract

Analyzing the nature of mobile user mobility in a given network system is one of the basic metric for the traffic performance analysis in land-mobile cellular communications. This paper focuses on the partial differential equation (PDE) based analysis on the mobile user mobility; and proposes a new concept of user flow density wave in the mobile network system. The theoretical formulation for measuring the characteristics of network traffic performance deals with the propagation of disturbance produced by the velocity and density characteristics of the mobile users in a given network system; while most of the recent works uses the idea mobile users’ velocity characteristics and the network traffic layout. The proposed flow density wave concept is also used to characterize the mobile jamming.