Title :
A Retrial BMAP/PH/N queueing system with Markov modulated retrials
Author :
Dudin, Alexander ; Klimenok, Valentina
Author_Institution :
Fac. of Appl. Math. & Comput. Sci., Belarusian State Univ., Minsk, Belarus
Abstract :
A retrial multi-server queueing model with a Batch Markovian Arrival Process (BMAP) and phase-type (PH-type) service time distribution is analyzed. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process (MMPP). The operation of the system is described in terms of continuous time multi-dimensional Markov chain. Stability condition and the algorithm for calculating the stationary state distribution of the chain are obtained. Main performance measures of the system are calculated.
Keywords :
Markov processes; queueing theory; MMPP; Markov modulated Poisson process; Markov modulated retrials; batch Markovian arrival process; continuous time multidimensional Markov chain; phase-type service time distribution; retrial BMAP/PH/N queueing system; retrial multiserver queueing model; stability condition; stationary state; Equations; Extraterrestrial measurements; Markov processes; Mathematical model; Orbits; Servers; Vectors;
Conference_Titel :
Future Internet Communications (BCFIC), 2012 2nd Baltic Congress on
Conference_Location :
Vilnius
Print_ISBN :
978-1-4673-1672-9
DOI :
10.1109/BCFIC.2012.6217953
