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A retrial BMAP/SM/1 system with linear repeated requests
Authors:Dudin  Alexander  Klimenok  Valentina
Institution:(1) Department of Applied Mathematics and Computer Science, Belarus State University, 4, F. Skorina Ave, 220050 Minsk, Belarus
Abstract:A retrial queueing system with the batch Markovian arrival process and semi-Markovian service is investigated. We suppose that the intensity of retrials linearly depends on the number of repeated calls. The distribution of the number of calls in the system is the subject of research. Asymptotically quasi-Toeplitz 2-dimensional Markov chains are introduced into consideration and applied for solving the problem.
Keywords:retrial BMAP/SM/1 system  asymptotically quasi-Toeplitz Markov chains
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