Mathematical Modeling of Hierarchical Mobile IPv6 Based Network Architecture in Search of Optimal Performance

Hierarchical mobile IPv6 (HMIPv6) is already established by Internet engineering task force (IETF) for reduced signaling cost and enhanced seamless handoff supporting local registration. The aim of this paper is to establish the mathematical model for general N layered HMIPv6 architecture for wireless IP-based network. The intention is to get an insight of the requirement for optimum level of hierarchy depending on the different network parameters and mobility patterns of the mobile terminal. We observe the various parameters like frequency of location update, cost of location update and handoff latency of the network for N layers. It is seen that three level hierarchies in HMIPv6 architecture shows a promise to become hierarchical mobility management model for next generation wireless networks. Moreover, this model helps for judgment to adopt the hierarchy related to the network conditions. In a growing number of mobile users everyday, networks of tomorrow will be large in size at the same time concerning scalability. This mathematical model is an efficient solution to the scalability problem.