Markov-Additive Jump Processes

Lothar Breuer
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Lothar Breuer: University of Trier, Department of Computer Science

Chapter Chapter 2 in From Markov Jump Processes to Spatial Queues, 2003, pp 23-39 from Springer

Abstract: Abstract In queueing theory, one field of steady progress is the conception of arrival processes. Back in Erlang’s times it was reasonable to assume independent and homogeneous users, which leads to the model of a Poisson arrival process (cf. Doob [52], pp.401ff). However, network traffic has become varied and strongly correlated today. Moreover, limited capacities lead to models which take inhomogeneous traffic into account, in order to profit from day times with less traffic intensity.

Keywords: Arrival Process; Jump Process; Real Vector Space; Phase Process; Markovian Arrival Process (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0239-4_2

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DOI: 10.1007/978-94-010-0239-4_2

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