Investigation of Priority Based Optical Packet Switch Under Self-Similar Variable Length Input Traffic Using Matrix Queueing Theory

Abstract

In this paper, queueing behavior of the optical packet switch (OPS) employing priority based partial buffer sharing (PBS) mechanism under asynchronous self-similar variable length packet input traffic is investigated. Markov modulated Poisson process (MMPP) emulating self-similar traffic is used as input process. In view of wavelength division multiplexing (WDM)OPS output port of switch is modeled as multi-server (MMPP∕M∕c∕K) queueing system. Service times (packet lengths) are assumed to be exponential distributed as traffic under consideration is unslotted asynchronous. Performance measures, namely, high priority packet loss probability and low priority packet loss probability against the system parameters and traffic parameters are computed by means of matrix-geometric solutions and approximate Markovian model. This kind of analysis is useful in dimensioning the switch employing PBS mechanism under self-similar variable length packet input traffic and to provide differentiated services (DiffServ) and quality of service (QoS) guarantee.