The Exponential Distribution and the Poisson Process

Moshe Haviv
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Moshe Haviv: The Hebrew University

Chapter Chapter 1 in Queues, 2013, pp 1-19 from Springer

Abstract: Abstract The exponential distribution is one of the major bricks in many models in operations research in general and in queueing theory in particular. Exponential random variables possess convenient properties, especially the memoryless property which makes the analysis of such models tractable. Also, they are simple to deal with as they are a single parameter family of distributions. At the same time, these distributions are a good model for representing real-life situations (such as interarrival times to a queueing system). Yet, this is not always the case and, as we will see throughout the book, more involved treatment is needed in cases where the assumption of an exponential distribution needs to be removed.

Keywords: Exponential Distribution; Memoryless Property; Erlang Random Variables; Single-parameter Family; Erlang Distribution (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-6765-6_1

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