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Transient solution of an M/M/∞ queue with catastrophes

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  • Gulab Singh Bura

Abstract

In this paper, we consider an M/M/ ∞ queue with catastrophes. We study the model and obtain the time dependent solution by using continued fraction techniques. The corresponding steady state probabilities are also deduced. Further, we have obtained some important measures of the studied model. At the end, we provide some numerical examples to visualize the applicability of the model in practical situations.

Suggested Citation

  • Gulab Singh Bura, 2019. "Transient solution of an M/M/∞ queue with catastrophes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(14), pages 3439-3450, July.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:14:p:3439-3450
    DOI: 10.1080/03610926.2018.1477960
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