Title: Transient and steady-state analysis of queueing systems with catastrophes and impatient customers

Authors: B. Krishna Kumar; S.R. Anantha Lakshmi; S. Anbarasu; S. Pavai Madheswari

Addresses: Department of Mathematics, College of Engineering, Anna University, Chennai – 600 025, India ' Department of Mathematics, College of Engineering, Anna University, Chennai – 600 025, India ' Department of Mathematics, College of Engineering, Anna University, Chennai – 600 025, India ' Department of Mathematics, R.M.K. Engineering College, Chennai – 601 206, India

Abstract: Sudhesh (2010) has discussed the transient probabilities for queueing systems subject to catastrophic failures and impatience of customers. However, it contains some errors concerning the terminology and the final forms of the transient probabilities of the system size. In this paper, we correct the errors and obtain the correct results in the work carried out by Sudhesh. In addition, the steady state system size probabilities and performance measures are provided. Finally, two special cases are deduced from the more general queueing model under study.

Keywords: system size; transient probability; steady state probability; server failure; impatient customers; continued fractions; generating function; confluent hypergeometric functions; queueing systems; queue catastrophes; catastrophic failure; performance measures.

DOI: 10.1504/IJMOR.2014.064838

International Journal of Mathematics in Operational Research, 2014 Vol.6 No.5, pp.523 - 549

Received: 25 Jan 2013
Accepted: 29 Mar 2013
Published online: 11 Oct 2014 *

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