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Examples of Markovian Arrival Processes

In: From Markov Jump Processes to Spatial Queues

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  • Lothar Breuer

    (University of Trier, Department of Computer Science)

Abstract

The present chapter provides two important examples for Markovian arrival processes. In contrast to the top-down approach in chapter 2, where arrival processes have been introduced from a very general point of view, the following presentation shall provide some intuition into the common features of different specifications of MAPs. Therefore, we begin with the simple example (which is the well-known homogeneous BMAP) and proceed with generalizations in two respects: First, the processes are developed to include inhomogeneity in time. Second, the arrival space is generalized to a continuous one.

Suggested Citation

  • Lothar Breuer, 2003. "Examples of Markovian Arrival Processes," Springer Books, in: From Markov Jump Processes to Spatial Queues, chapter 0, pages 43-51, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-0239-4_3
    DOI: 10.1007/978-94-010-0239-4_3
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