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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.

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© 2001 Kluwer Academic Publishers

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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

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  • DOI: https://doi.org/10.1007/1-4020-0611-X_764

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-7923-7827-3

  • Online ISBN: 978-1-4020-0611-1

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