Accession Number : AD0698180

Title :   MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC. IV. LAW OF THE ITERATED LOGARITHM.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Iglehart,Donald L.

Report Date : NOV 1969

Pagination or Media Count : 29

Abstract : The queueing system considered consist of r. independent arrival channels and s independent service channels. These systems are assumed to be in heavy traffic, that is, the traffic intensity is greater than or equal to 1. Functional laws of the iterated logarithm are obtained for the queue length, departure, load, and waiting time processes. As immediate corollaries, the ordinary laws of the iterated logarithm are obtained for these processes. Finally, as an application of the functional law of the iterated logarithm, a limit theorem is obtained for the fraction of time the queue length process is above a given function. (Author)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), MEASURE THEORY, TOPOLOGY, SEQUENCES(MATHEMATICS), THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE