Accession Number : AD0680744

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

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Strauch,Ralph

Report Date : DEC 1968

Pagination or Media Count : 5

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)

Descriptors :   (*QUEUEING THEORY, STATISTICAL PROCESSES), STATISTICAL DISTRIBUTIONS, MEASURE THEORY, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE