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

Khalid Al-Begain; Alexander Dudin; Valentina Klimenok

doi:10.1109/ICUMT.2010.5676588

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

Khalid Al-Begain, Alexander Dudin, Valentina Klimenok

Faculty of Computing, Engineering and Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	N/A
Number of pages	7
DOIs	https://doi.org/10.1109/ICUMT.2010.5676588
Publication status	Published - 18 Oct 2010
Event	2010 International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT) - Location unknown - please update Duration: 18 Oct 2010 → 18 Oct 2010

Conference

Conference	2010 International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)
Period	18/10/10 → 18/10/10

Keywords

survivability modelling
markov modelling
queueing networks

Access to Document

10.1109/ICUMT.2010.5676588

Cite this

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title = "Survivability of the MAP/PH/N queue with propagated failures",

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.",

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PY - 2010/10/18

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N2 - 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.

AB - 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.

KW - survivability modelling

KW - markov modelling

KW - queueing networks

U2 - 10.1109/ICUMT.2010.5676588

DO - 10.1109/ICUMT.2010.5676588

M3 - Conference contribution

BT - N/A

T2 - 2010 International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)

Y2 - 18 October 2010 through 18 October 2010

ER -

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

Abstract

Conference

Keywords

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Cite this