Transient and steady-state analysis of queueing systems with catastrophes and impatient customers. (1st January 2014)

• Record Type: Journal Article
• Authors: Krishna Kumar, B.; Anantha Lakshmi, S.R.; Anbarasu, S.; Pavai Madheswari, S.
• Is Part Of: International journal of mathematics in operational research. Volume 6:Number 5(2014)
• Page Start: 523
• Page End: 549
• Publication Date: 2014-01-01
• Subjects: system size -- transient probability -- steady state probability -- server failure -- impatient customers -- continued fractions -- generating function -- confluent hypergeometric functions; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• Languages: English
• ISSNs: 1757-5850

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.