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Published in:
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2020). ECMS 2020 Proceedings
Edited by: Mike Steglich, Christian Muller, Gaby
Neumann, Mathias Walther, European Council for Modeling and Simulation.
DOI: http://doi.org/10.7148/2020
ISSN:
2522-2422 (ONLINE)
ISSN:
2522-2414 (PRINT)
ISSN:
2522-2430 (CD-ROM)
ISBN: 978-3-937436-68-5
ISBN: 978-3-937436-69-2(CD)
Communications of the ECMS , Volume 34, Issue 1, June 2020,
United Kingdom
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Citation
format:
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Anastasiya Kryukova, Viktoriya
Oshushkova, Alexander Zeifman,
Rostislav Razumchik (2020).
Method For Bounding The Rate Of Convergence For One Class Of Finite-Capacity Markovian Time-Dependent Queues With Batch Arrivals When
Empty, ECMS 2020 Proceedings Edited By:
Mike Steglich, Christian Mueller, Gaby Neumann,
Mathias Walther European Council for Modeling and Simulation. doi: 10.7148/2020-0403
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Abstract:
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Consideration
is given to one class of inhomogeneous birth and death processes with finite
state space and addi-tional transitions from the
origin, which may be used to study the queue-length process in
finite-capacity Markovian time-dependent queues
with possible batch arrivals when empty. The latter means that customers may
arrive in batches only during the periods when the system is idle. All
possible transition intensities are allowed to be state-dependent non-random
functions of time. Method based on Lyapunov
functions, which allows one to obtain ergodicity
bounds, is presented. Short numerical example is given.
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