Loss behaviour analysis of asynchronous internet switch under self-similar traffic input using MMPP/PH/c/K queueing system employing PBS mechanism

Abstract

In this paper, we analyse the loss behaviour of the wavelength division multiplexing (WDM) priority-based switch with self-similar traffic. As Markov modulated Poisson process (MMPP) emulates self-similar internet traffic one can use MMPP that is fitted for self-similar traffic as input process to investigate the queueing behaviour of the switch. In view of WDM technology in networking, each output port of switch is modelled as multi-server queueing system. In general, network traffic is asynchronous and of variable packet lengths. Service times (packet lengths) are assumed to follow more general one namely phase-type (PH) distribution. Partial buffer sharing (PBS) mechanism is employed to guarantee quality of service (QoS). Finally, switch under consideration is equivalent to MMPP/PH/c/K queueing system with PBS mechanism. The performance measures, high priority and low priority packet loss probabilities are computed. This type of analysis is useful in dimensioning the switch employing PBS mechanism under self-similar traffic input.