Title: Stationary analysis of a fluid queue driven by an M/M/1/N queue with disaster and subsequent repair

Authors: K.V. Vijayashree; A. Anjuka

Addresses: Department of Mathematics, Anna University, Chennai, India ' Department of Mathematics, Anna University, Chennai, India

Abstract: This paper studies a fluid queueing model driven by an M/M/1/N queue subject to disaster and subsequent repair. The underlying system of differential difference equations that governs the process are solved using generating function methodology. Explicit expressions for the joint steady state probabilities of the state of the background queueing model and the content of the buffer are obtained in terms of modified Bessel function of the first kind. Numerical illustrations are added to support the theoretical results.

Keywords: generating function; Laplace transform; steady state probabilities; buffer content distribution; operational research; fluid queue; stationary analysis; disaster.

DOI: 10.1504/IJOR.2018.090427

International Journal of Operational Research, 2018 Vol.31 No.4, pp.461 - 477

Received: 20 Mar 2015
Accepted: 29 May 2015

Published online: 19 Mar 2018 *

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