On Markovian modelling of arrival processes

Gely Basharin (), Valeriy Naumov () and Konstantin Samouylov ()
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Gely Basharin: Peoples’ Friendship University of Russia (RUDN University)
Valeriy Naumov: Service Innovation Research Institute
Konstantin Samouylov: Peoples’ Friendship University of Russia (RUDN University)

Statistical Papers, 2018, vol. 59, issue 4, No 16, 1533-1540

Abstract: Abstract 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.

Keywords: MC-stream; Markovian arrival process; Markov-additive process; 60G55; 60G10; 60K15; 60K25 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00362-018-1042-9

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