Accession Number : AD0710763

Title :   THE CONTINUITY OF THE SINGLE SERVER QUEUE.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Kennedy,Douglas P.

Report Date : JUN 1970

Pagination or Media Count : 27

Abstract : In many applications of queueing theory assumptions of either Poisson arrivals or exponential service times are made. The implicit assumption is that if the actual arrival process approximates a Poisson process and the service times are close to exponential, then the quantities of interest in the real queueing system (viz. the virtual waiting time, queue length, idle times, etc.), will approximate those of the idealized model. The paper establishes the continuity of the single server queue acting as functionals of the arrival and service processes. The proof involves an application of the theory of weak convergence of probability measures on metric spaces. (Author)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), INTEGRAL TRANSFORMS, APPROXIMATION(MATHEMATICS), MATHEMATICAL MODELS, PROBABILITY, MEASURE THEORY, RANDOM VARIABLES, CONVERGENCE

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE