Mathematical Modeling of Markovian Queuing Network with Repairs, Breakdown and fixed Buffer

Mamatha . E*, C.S. Reddy**, Ramakrishna Prasad***
*-*** Department of Mathematics, SV University, Tirupati, AP, India.
** School of Advanced Sciences, VIT University, Vellore, India.
Periodicity:January - March'2012
DOI : https://doi.org/10.26634/jse.6.3.1788

Abstract

Present days, various practical queuing systems extensively used in computing and communication have finite capacities and in such systems, servers are prone to failures. Queuing networks are widely used in the modeling of transaction processing systems, and their interactions among nodes in communication networks. The performance modeling of a multi-node system, with heterogeneous nodes, each node serving external as well as routed internal arrivals of jobs is considered in this paper. Results obtained using the analytical model are analyzed.

Keywords

QBD, Markov Modulated Poisson Process, Breakdowns and Repairs, Open Queuing Networks, batch Markov arrival process, Mean Queue Length.

How to Cite this Article?

Mamatha, E., Reddy, S. C and Prasad, R. K. (2012). Mathematical Modeling Of Markovian Queuing Network With Repairs, Breakdown And Fixed Buffer. i-manager’s Journal on Software Engineering, 6(3),21-27. https://doi.org/10.26634/jse.6.3.1788

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