On Markov-additive jump processes

Breuer, Lothar (2002) On Markov-additive jump processes. Queueing Systems, 40 (1). pp. 75-91. ISSN 0257-0130. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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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.

Item Type: Article
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: https://kar.kent.ac.uk/id/eprint/490 (The current URI for this page, for reference purposes)
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