Survivability of the MAP/PH/N queue with propagated failures

Author

Al-Begain, Khalid ; Dudin, Alexander ; Klimenok, Valentina

Author_Institution

Univ. of Glamorgan, Pontypridd, UK

fYear

2010

fDate

18-20 Oct. 2010

Firstpage

518

Lastpage

524

Abstract

We consider the MAP/PH/N queueing system with propagated breakdowns. Breakdowns arrive in bunches (we call them attacks) according to the MAP. The process of further arrival of different types of server failures within an attack is governed by phase type Markov process. Recovering of the server takes an exponentially distributed time with intensity depending on the type of the occurred failure. We describe behavior of the system by the multi-dimensional continuous time Markov chain and analyze survivability of the system.

Keywords

Markov processes; exponential distribution; queueing theory; telecommunication network reliability; MAP-PH-N queueing system survivability; Markov process; exponentially distributed time; multidimensional continuous time Markov chain; propagated failures; server failures; server recovering; Electric breakdown; Generators; Maintenance engineering; Markov processes; Probabilistic logic; Queueing analysis; Servers; queueing analysis; reliability; stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2010 International Congress on

Conference_Location

Moscow

ISSN

2157-0221

Print_ISBN

978-1-4244-7285-7

Type

conf

DOI

10.1109/ICUMT.2010.5676588

Filename

5676588