WHEN A QUEUE LOOKS THE SAME TO AN ARRIVING CUSTOMER AS TO AN OBSERVER,

Abstract

It seems intuitively reasonable that a queue with a Poisson arrival distribution should appear the same to an arriving customer as it does to an external observer, since the intuitive meaning of the Poisson arrival distribution is that the arrival of each customer is independent of anything else going on in the queue. This result has been used by various authors, but there does not appear to be a rigorous proof of it in the literature. The purpose of this note is to provide such a proof. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1968
Accession Number
AD0680744

Entities

People

  • Ralph Strauch

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Literature
  • Observers

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.