Breuer, Lothar (2002) On Markov-additive jump processes. Queueing Systems, 40 (1). pp. 75-91. ISSN 0257-0130.
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In 1995, Pacheco and Prabhu introduced the class of so-called Markov-additive processes of arrivals in order to provide a general class of arrival processes for queueing theory. In this paper, the above class is generalized considerably, including time-inhomogeneous arrival rates, general phase spaces and the arrival space being a general vector space (instead of the finite-dimensional Euclidean space). Furthermore, the class of Markov-additive jump processes introduced in the present paper is embedded into the existing theory of jump processes. The best known special case is the class of BMAP arrival processes.
|Uncontrolled keywords:||jump processes; Markov-additive processes; queueing theory; BMAP|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Judith Broom|
|Date Deposited:||19 Dec 2007 18:17|
|Last Modified:||20 Apr 2012 13:44|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/490 (The current URI for this page, for reference purposes)|
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