Transient analysis of a Markovian queue with chain sequence rates and total catastrophes
by B. Krishna Kumar, A. Vijayakumar, S. Sophia
International Journal of Operational Research (IJOR), Vol. 5, No. 4, 2009

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.

Online publication date: Sat, 23-May-2009

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