On Markov-Additive Jump Processes |
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Authors: | Breuer Lothar |
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Institution: | (1) FB IV – Computer Science, University of Trier, 54286 Trier, Germany |
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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. |
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Keywords: | jump processes Markov-additive processes queueing theory BMAP |
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