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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this entry
Cite this entry
Gass, S.I., Harris, C.M. (2001). Poisson arrivals . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_764
Download citation
DOI: https://doi.org/10.1007/1-4020-0611-X_764
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-7923-7827-3
Online ISBN: 978-1-4020-0611-1
eBook Packages: Springer Book Archive