Title: On the stationary distributions of discouraged arrival fluid queues with catastrophes

Authors: T. Vijayalakshmi; V. Thangaraj

Addresses: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai-600005, India ' School of Mathematics, Vel Tech University, Avadi, Chennai-600 062, India

Abstract: In the performance analysis of communication and manufacturing systems, fluid queues are occupying integral part of investigation. In real life situation, we come across state dependent fluid queues. The occurrence of catastrophes in communication systems is a common phenomenon. In this paper, a fluid queue driven by a queue with discouraged arrivals and catastrophe is discussed. We have driven the stationary distribution using continued fraction and confluent hypergeometric function methodologies and further obtained the same for an infinite server queue. In addition, we have analysed the queue when there are no catastrophes and noticed that our results coincide with the earlier work when there are no catastrophes.

Keywords: fluid queues; discouraged arrivals; confluent hypergeometric function; CHF; catastrophes; continued fractions; inverse Laplace transform; stationary distribution; performance evaluation; communication systems; manufacturing systems.

DOI: 10.1504/IJOR.2015.072229

International Journal of Operational Research, 2015 Vol.24 No.3, pp.305 - 328

Received: 12 Jun 2013
Accepted: 16 Sep 2013
Published online: 06 Oct 2015 *

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