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In this paper we model the traffic of new and handoff calls in a single cell of wireless mobile networks by a finite buffer queueing system with two types of service classes and a so-called hysteresis multi-threshold based control policy. We describe the behavior of the system in term of a three-dimensional continuous-time Markov process (CTMP) and derive the steady-state distribution of the CTMP...
It is a fait accompli that heavy traffic analysis is a very powerful technique, which allows us to model the number of customers of a queueing system via a reflected diffusion (or a reflected Levy process). In this paper, we derive heavy traffic type theorems for queueing systems that receive either Markov modulated or independent positive and negative arrivals with general service and inter-arrival...
This paper presents the formulation, modelling and analysis of network traffic for the purpose of designing an edge router, catering for a large campus. Presuming packet arrival from Poissonpsilas process, and departure or service time distribution to be exponential, a Markov model has been developed. The stochastic characteristics of the traffic has been monitored and studied over long durations...
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