Stochastic Geometry Analysis of Sojourn Time in Multi-Tier Cellular Networks

Impact of mobility will be increasingly important in future generation wireless services and the related challenges need to addressed. Sojourn time, time duration that a mobile user stays within cell, is mobility-aware parameter can significantly impact performance users it also exploited improve resource allocation management methods network. In this paper, we derive distribution mean sojourn multi-tier cellular networks, where spatial base stations (BSs) each tier follows an independent homogeneous Poisson point process (PPP). To obtain networks with maximum biased averaged received power association, as first step, area contact, based on which then linear contact function chord length tier. We study relation between other mobility-related metrics. show inversely proportional handoff rate, complementary cumulative (CCDF) bounded from above by complement probability. Moreover, velocity network parameters time.