TITLE:
Performance Analysis of Wavelength Division Multiplexing Asynchronous Internet Router Employing Space Priority Mechanism under Self-Similar Traffic Input—Multi-Server Queueing System with Markovian Input and Erlang-k Services
AUTHORS:
Ravi Kumar Gudimalla, Malla Reddy Perati
KEYWORDS:
WDM Internet Router, Self-Similarity, Partial Buffer Sharing, Erlang-k Service, Packet Loss Probability
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.15,
September
16,
2016
ABSTRACT: In this paper, we analyze the queueing
behaviour of wavelength division multiplexing (WDM) Internet router employing
partial buffer sharing (PBS) mechanism with self-similar traffic input. In view
of WDM technology in networking, each output port of the router is modelled as
multi-server queueing system. To guarantee the quality of service (QoS) in
Broadband integrated services digital network (B-ISDN), PBS mechanism is a
promising one. As Markov modulated Poisson process (MMPP) emulates self-similar
Internet traffic, we can use MMPP as input process of queueing system to
investigate queueing behaviour of the router. In general, as network traffic is
asynchronous (unslotted) and of variable packet lengths, service times (packet
lengths) are assumed to follow Erlang-k distribution. Since, the said
distribution is relatively general compared to deterministic and exponential.
Hence, specific output port of the router is modelled as MMPP/Ek/s/C queueing
system. The long-term performance measures namely high priority and low
priority packet loss probabilities and the short-term performance measures
namely mean lengths of critical and non-critical periods against the system
parameters and traffic parameters are computed by means of matrix-geometric
methods and approximate Markovian model. This kind of analysis is useful in
dimensioning the router under self-similar traffic input employing PBS
mechanism to provide differentiated services (DiffServ) and QoS guarantee.