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Stochastic Models Volume 28, 2012 - Issue 1
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Original Articles

Perturbation Bounds for Mt/Mt/N Queue with Catastrophes

Alexander Zeifman Vologda State Pedagogical University, Institute of Informatics Problems RAS, Russian FederationCorrespondence[email protected]
&
Anna Korotysheva Vologda State Pedagogical University, Russian Federation
Pages 49-62 | Received 01 Jan 2011, Accepted 01 Oct 2011, Published online: 03 Feb 2012
 
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Abstract

This articles focuses on M t /M t /N queue with catastrophes and obtains stability bounds for the main characteristics of the respective queue-length process.

Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors thank the Referees for very useful comments.

This article is part of the Special Issue in honor of Marcel F. Neuts, published in volume 27(4) of Stochastic Models.

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Related Research Data

On the Bounds for a Two-Dimensional Birth-Death Process with Catastrophes
Source: MDPI AG
M X = M = c Queue with catastrophes and state-dependent control at idle time
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The M/M/c queue with mass exodus and mass arrivals when empty
Source: Cambridge University Press (CUP)
A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation
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