Accession Number : AD0761698

Title :   On the Relation between Customer and Time Averages in Queues,

Corporate Author : BRITISH COLUMBIA UNIV VANCOUVER

Personal Author(s) : Brumelle,Shelby L.

Report Date : 30 OCT 1970

Pagination or Media Count : 14

Abstract : Little gave conditions sufficient to obtain the formula L = lambda W, where L is the time average queue size, W is the expected wait in queue, and lambda is the arrival rate of customers. This formula is applicable to a very general class of queuing models and is one of the most useful results in queuing theory. In the paper conditions are given for the formula H = lambda G to hold, where H and G are respectively time and customer averages of quantities which bear a certain relationship to each other but which are otherwise unspecified.

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), TIME SERIES ANALYSIS, RANDOM VARIABLES, THEOREMS, CANADA

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE