On the Stability of a N-class Aloha Network

TL;DR

This paper derives necessary and sufficient conditions for the stability of a high-mobility N-class Aloha network with stochastic source positions, packet arrivals, and link distances, along with formulas for success probability and delay.

Contribution

It introduces a comprehensive stability analysis for a complex high-mobility Aloha network with stochastic spatial and traffic models, providing explicit formulas for key performance metrics.

Findings

Established stability conditions for the network.

Derived formulas for success probability and mean delay.

Analyzed impact of mobility and spatial randomness on performance.

Abstract

Necessary and sufficient conditions are established for the stability of a high-mobility N-class Aloha network, where the position of the sources follows a Poisson point process, each source has an infinity capacity buffer, packets arrive according to a Bernoulli distribution and the link distance between source and destination follows a Rayleigh distribution. It is also derived simple formulas for the stationary packet success probability and mean delay.