A framework for mathematical modeling of 2-tier hierarchical mobile ad-hoc networks considering terminal mobility

In view of performance measurement of a 2-tier mobile ad-hoc network, the connection time within which a slave node can hold its connection with a pre-connected master node and the reconnection number, that is the number of master nodes reconnected within the total communication time, are the significant factors in evaluating the network. A mathematical model considering terminal mobility that can be used to obtain these factors analytically is proposed. The results obtained from the proposed modeling is compared with simulation results. The proposed model is well matched with simulation results and the numerical examples demonstrate the mean reconnection number is a minimum if the speeds of master and slave are similar.