A Note on Queueing Systems Exposed to Disasters

Böhm, Walter (2008) A Note on Queueing Systems Exposed to Disasters. Research Report Series / Department of Statistics and Mathematics, 79. Department of Statistics and Mathematics, WU Vienna University of Economics and Business, Vienna.

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Abstract

We discuss queueing systems subject to total disasters. If the time intervals between successive disasters are i.i.d. random variables independent of arrival and service process and arrivals form a Poisson process, then the transient and the asymptotic analysis of such models may be based on Feller's Second Renewal Theorem. Several examples are given: the limiting behavior of M/G/1 in case of exponential disasters and its special cases M/M/1, M/M/1/K and M/M/infinity. (author´s abstract)

Item Type: Paper
Keywords: queues with total disasters / renewal theorem
Classification Codes: MSC 60K25, 60K37
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 12 Dec 2008 10:40
Last Modified: 22 Oct 2019 00:41
URI: https://epub.wu.ac.at/id/eprint/1590

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