Loss behavior of internet router with priority based self-similar synchronous traffic-multi server queueing system with Markovian input

Abstract

In this paper, queueing behavior of the Internet router employing priority based partial buffer sharing mechanism under synchronous self-similar traffic input is investigated. Input traffic is modelled by Markov modulated Poisson process (MMPP). In view of wavelength division multiplexing technology, output port of the router is modelled as multi-server (MMPP/D/c/K) queueing system. Service times (packet lengths) are assumed to be deterministic as the traffic under consideration is slotted synchronous. Performance measures, namely, high priority and low priority packet loss probabilities, and mean length of non-critical and critical periods against the system parameters and traffic parameters are computed by means of matrix-geometric methods and approximate Markovian model. These results are useful in dimensioning the router to provide differentiated services and quality of service guarantee.