Batch Markovian Arrival Processes (BMAP) (PREPRINT)
Abstract
This article describes the batch Markovian arrival process (BMAP), a point process that is characterized by Markov-modulated batch arrivals of random size. The BMAP is a generalization of many well-known processes including the Markovian arrival process (MAP), the Poisson process, and the Markov-modulated Poisson process. It provides a common framework for modeling arrival processes in a variety of applications. We formally define the continuous- and discrete-time BMAP, review a few basic results for each, and show how these processes generalize many common point processes. Additionally, we provide suggestions for further reading on the subject.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2011
- Accession Number
- ADA536697
Entities
People
- James D. Cordeiro
- Jeffrey P. Kharoufeh
Organizations
- University of Pittsburgh