Accession Number : AD0691271

Title :   MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC. II. SEQUENCES, NETWORKS, AND BATCHES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Iglehart,Donald L. ; Whitt,Ward

Report Date : JUN 1969

Pagination or Media Count : 29

Abstract : Sequences of queueing facilities with r parallel arrival channels and s parallel service channels are studied under the conditions of heavy traffic: the associated sequences of traffic intensities approaching a limit greater than or equal to one. Weak convergence is obtained for sequences of random functions induced in D(0,1) by the basic queueing processes. Sequences of queueing systems in heavy traffic which are networks of the facilities described above are also investigated. Furthermore, customers are allowed to arrive and be served in batches.

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), MULTIPLE OPERATION, TRAFFIC, SEQUENCES(MATHEMATICS), INVARIANCE, CONVERGENCE, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE