Encyclopedia of Operations Research and Management Science

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

Exponential arrivals

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_315

When customers interarrival times to a queueing system are defined by a sequence of independent and identically distributed exponential random variables. If a system has exponential interarrival times with distribution function A(t) = 1 − exp(−λ), then the number of arrivals to the system in any period of time t has the Poisson distribution with probability function pn(t) − exp(−λt)(λt)n/n!.  Poisson arrivals;  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