Title :
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
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;
Conference_Titel :
Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2010 International Congress on
Conference_Location :
Moscow
Print_ISBN :
978-1-4244-7285-7
DOI :
10.1109/ICUMT.2010.5676588
