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This article is cited in 1 scientific paper (total in 1 paper)
A Complex of Non-Stationary Queuing Systems Models with Phase-Type Distribution
V. P. Bubnova, A. V. Tyrvaa, A. S. Ereminb a Informatics and computer systems department of Petersburg state transport university
b Department of Information systems of the Faculty of Applied Mathematics and Control Processes of the Saint-Petersburg State
University
Abstract:
A complex of new models of non-stationary queuing systems with finite source is presented. In contrast to traditional models of queuing theory the proposed models allow to describe the processes of customers servicing in the specified time interval under general assumptions on the time distribution between customer arrival and service. The article presents the principles of such models development, their graphical interpretation and formulae for computation of probabilistic and time characteristics as well as Chapman-Kolmogorov differential equations systems.
Keywords:
non-stationary queuing system; phase-type distribution; states probability.
Citation:
V. P. Bubnov, A. V. Tyrva, A. S. Eremin, “A Complex of Non-Stationary Queuing Systems Models with Phase-Type Distribution”, Tr. SPIIRAN, 37 (2014), 61–71
Linking options:
https://www.mathnet.ru/eng/trspy763 https://www.mathnet.ru/eng/trspy/v37/p61
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Abstract page: | 123 | Full-text PDF : | 48 |
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