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Retrial queue of BMAP/PH/N type with customers balking, impatience and non-persistence

Content Provider	IEEE Xplore Digital Library
Author	Dudin, A. Klimenok, V.
Copyright Year	2013
Description	Author affiliation: Dept. of Appl. Math. & Comput. Sci., Belarusian State Univ., Minsk, Belarus (Dudin, A.; Klimenok, V.)
Abstract	We consider a multi-server retrial queueing system with the Batch Markovian Arrival Process and phase type service time distribution. Such a quite general queueing system suits for modeling, e.g., modern wireless communication networks. We assume that arriving customers, which do not succeed to start the service immediately upon arrival due to the lack of available servers, may leave the system forever (balk) or join the orbit for further retrials. Customers in the orbit are impatient (they may leave the system forever after exponentially distributed duration of the stay in the orbit) and non-persistent (they may leave the system forever after any unsuccessful attempt to reach the service). Approach by V. Ramaswami and D. Lucantoni for description of several independent Markov processes in parallel that allows to compute the stationary distribution of the system for large number of servers is used along with the results for multi-dimensional asymptotically quasi-Toeplitz Markov chains for computation of steady state distribution of the system states and some its performance measures.
Starting Page	1
Ending Page	6
File Size	126850
Page Count	6
File Format	PDF
ISBN	9781479900596
DOI	10.1109/CFIC.2013.6566318
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-15
Publisher Place	Portugal
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computational modeling Markov processes Orbits Vectors Generators Servers Mathematical model
Content Type	Text
Resource Type	Article

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