On Markovian modelling of arrival processes

Markovian arrival process (MAP) is a popular tool for modeling arrival processes of stochastic systems such as queueing systems, reliability systems and telecommunications networks. In this paper we show how properties of Markovian Arrival Processes can be derived from the general theory of Markov processes with a homogeneous second component. We also present a series of results on queueing systems with MAP arrivals which were published in RUDN University before 1990. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Authors
Publisher
Springer New York LLC
Language
English
Status
Published
Year
2018
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 2 Service Innovation Research Institute, Annankatu 8A, Helsinki, 00120, Finland
  • 3 Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Vavilov St. 44-2, Moscow, 119333, Russian Federation
Keywords
Markov-additive process; Markovian arrival process; MC-stream
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7152/
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