Encyclopedia of Operations Research and Management Science

2013 Edition
| Editors: Saul I. Gass, Michael C. Fu


Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-1153-7_200582

Poisson Arrivals See Time Averages.

For a Poisson arrival process, the (limiting) fraction of arrivals that find (see) a process in some state equals the (limiting) overall fraction of time that the process is in that state (Wolff 1982, 1990).



  1. Wolff, R. W. (1982). Poisson arrivals see time averages. Operations Research, 30, 223–231.CrossRefGoogle Scholar
  2. Wolff, R. W. (1990). A note on PASTA and anti-PASTA for continuous-time Markov chains. Operations Research, 38, 176–177.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013