Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Poisson arrivals

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_764

When interarrival times between successive customers coming to a queueing system are independent and identical exponential random variables, it follows that the number of arrivals to the system in a given period of time has a Poisson distribution (i.e., is a Poisson process). As a result, we would say that this queueing system has Poisson arrivals. Exponential arrivals; Poisson process; Queueing theory.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA