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

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.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0691271

Entities

People

  • Donald Iglehart
  • Ward Whitt

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Convergence
  • Intensity
  • Mathematics
  • Sequences
  • Weak Convergence

Fields of Study

  • Computer science

Readers

  • Computer Networking
  • Plasma Physics / Magnetohydrodynamics
  • Radio communications and signal processing.