Transient analysis of a Markovian queue with chain sequence rates and total catastrophes. (26th May 2009)

• Record Type: Journal Article
• Authors: Krishna Kumar, B.; Vijayakumar, A.; Sophia, S.
• Is Part Of: International journal of operational research. Volume 5:Number 4(2009)
• Page Start: 375
• Page End: 391
• Publication Date: 2009-05-26
• Subjects: time-dependent analysis -- chain sequences -- continued fraction -- steady state probabilities -- busy period -- Markovian queues -- total catastrophes -- busy period distribution -- transient probabilities -- system size; Operations research -- Periodicals; 003.05
• Languages: English
• ISSNs: 1745-7645

Abstract

Queueing systems with state-dependent arrival and service rates along with catastrophes are investigated. Explicit expressions for the transient probabilities of system size are obtained. The corresponding steady-state probabilities are deduced. Busy period distribution is also found. Some performance measures are obtained for the system. Extensive numerical illustrations are provided. It is observed that the limiting distributions do not exist in the absence of catastrophes.