Breuer, Lothar (2002) On Markov-additive jump processes. Queueing Systems, 40 (1). pp. 75-91. ISSN 0257-0130.
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| Official URL http://dx.doi.org/10.1023/A:1017996413769 |
Abstract
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: | http://kar.kent.ac.uk/id/eprint/490 (The current URI for this page, for reference purposes) |
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