Mathematical foundations of next generation wireless systems

Abstract

The heterogeneous structure of Next Generation Wireless Systems (NGWS) makes admission control very complex. Accessibility of the subsystems at the time of connection or hando® request, availability of resources in the subsystems, user pref- erences, and connection class need to be considered in admission control. In this thesis, 歔rst we give a general connection admission control algorithm. We also propose the 歔rst analytical model in the literature for admission control in NGWS. NGWS consists of many subsystems. Our analytical model has no limitation on the number of subsystems in NGWS. Due to the existence of multiple subsystems, states of the system are more complex than the states in ordinary homogeneous wire- less systems. After de歔ning NGWS and states, we point out the major challenges in modeling for NGWS and evaluating state probabilities. For evaluating the state probabilities, we present an analytical solution approach. Since the state space explodes, we propose a neat solution to calculate the state prob- abilities in a reasonable way even as the state space grows. Our proposed solution is based on reasonable assumptions.