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Avtomatika i Telemekhanika, 2009, Issue 5, Pages 140–154
(Mi at475)
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This article is cited in 3 scientific papers (total in 3 papers)
Queuing Systems
The $MAP+MAP/PH/1/N$ queuing system with single and batch arrivals of customers
S. A. Dudin Belarussian State University, Minsk, Belarus
Abstract:
The single-server queuing system with finite buffer was considered. The customers may arrive one-by-one or in batches. Arrivals of single customers and their batches obey the Markov input processes. The customers from
a batch taken for servicing come one at a time at the exponentially distributed time intervals. The numbers of customers in batches are distributed geometrically. The time of customer servicing has a phase-type distribution. The numbers of batches and single customers that may be simultaneously accepted by the system are controllable parameters. The joint distribution of the number of batches and the number of customers in system, loss probabilities, distribution of the time of batch sojourn, and problems of optimization were analyzed.
Citation:
S. A. Dudin, “The $MAP+MAP/PH/1/N$ queuing system with single and batch arrivals of customers”, Avtomat. i Telemekh., 2009, no. 5, 140–154; Autom. Remote Control, 70:5 (2009), 872–884
Linking options:
https://www.mathnet.ru/eng/at475 https://www.mathnet.ru/eng/at/y2009/i5/p140
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Statistics & downloads: |
Abstract page: | 234 | Full-text PDF : | 145 | References: | 31 | First page: | 2 |
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