Title :
Analysis of a single server batch Markovian arrival process with feedback
Author :
Arivudainambi, D. ; Godhandaraman, P.
Author_Institution :
Dept. of Math., Anna Univ., Chennai, India
Abstract :
In this paper, we consider a batch Markovian arrival process with feedback. The Markov chain embedded at service completion epochs are investigated. The stationary queue length distribution and loss probability are obtained. The effects of various performances are analyzed. They confirm importance of special treatment of the models with the batch Markovian arrival process (BMAP) and feedback. Feedback queues play an important role in real life service systems, where customers may require repeated services.
Keywords :
Markov processes; probability; queueing theory; batch Markovian arrival process; feedback; loss probability; stationary queue length distribution; Communication networks; Computational modeling; Computers; Markov processes; Mathematical model; Servers; Batch Markovian arrival process; Markov chain; feedback;
Conference_Titel :
Electronics Computer Technology (ICECT), 2011 3rd International Conference on
Conference_Location :
Kanyakumari
Print_ISBN :
978-1-4244-8678-6
Electronic_ISBN :
978-1-4244-8679-3
DOI :
10.1109/ICECTECH.2011.5942072
