
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