TITLE:
Study of Delay and Loss Behavior of Internet Switch-Markovian Modelling Using Circulant Markov Modulated Poisson Process (CMMPP)
AUTHORS:
Ranadheer Donthi, Ramesh Renikunta, Rajaiah Dasari, Malla Reddy Perati
KEYWORDS:
CMMPP; Self-Similar Traffic; Mean Waiting Time; Packet Loss Probability; Traffic Intensity; Hurst Parameter; Time-Scale
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
12,
2014
ABSTRACT: Most of
the classical self-similar traffic models are asymptotic in nature. Therefore,
it is crucial for an appropriate buffer design of a switch and queuing based
performance evaluation. In this paper, we investigate delay and loss behavior
of the switch under self-similar fixed length packet traffic by modeling it as CMMPP/D/1 and CMMPP/D/1/K, respectively, where Circulant Markov Modulated Poisson
Process (CMMPP) is fitted by equating the variance of CMMPP and that of
self-similar traffic. CMMPP model is already the validated one to emulate the
self-similar characteristics. We compare the analytical results with the
simulation ones.