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Markovian Arrival Processes

  1. Srinivas R. Chakravarthy

Published Online: 15 JUN 2010

DOI: 10.1002/9780470400531.eorms0499

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Chakravarthy, S. R. 2010. Markovian Arrival Processes. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. Kettering University, Department of Industrial and Manufacturing Engineering, Flint, Michigan

Publication History

  1. Published Online: 15 JUN 2010

Abstract

Marked point processes (MPP's) play an important role in stochastic modeling. A special class of MPP's is the Markovian Arrival Process (MAP). In this section we will review the concepts, including the history of MAP both in continuous time and in discrete time.

Keywords:

  • marked point processes;
  • probabilistic modeling;
  • fundamental rate;
  • stochastic modeling;
  • deterministic models;
  • Markovian arrivals;
  • index of dispersion;
  • correlation