ABMAP/PH/NSYSTEM WITH IMPATIENT REPEATED CALLS

Valentina I. Klimenok (), Dmitry S. Orlovsky () and Alexander N. Dudin ()
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Valentina I. Klimenok: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus
Dmitry S. Orlovsky: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus
Alexander N. Dudin: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 03, 293-312

Abstract: A multi-server queueing model with a Batch Markovian Arrival Process, phase-type service time distribution and impatient repeated customers is analyzed. After any unsuccessful attempt, the repeated customer leaves the system with the fixed probability. The behavior of the system is described in terms of continuous time multi-dimensional Markov chain. Stability condition and an algorithm for calculating the stationary state distribution of this Markov chain are obtained. Main performance measures of the system are calculated. Numerical results are presented.

Keywords: BMAP/PH/Nretrial model; matrix analytic methods; Batch Markovian Arrival Process; PH-distribution; impatient customers; asymptotically quasi-Toeplitz Markov chains (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595907001310

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