RATES OF CONVERGENCE FOR QUEUES IN HEAVY TRAFFIC. PARTS I AND II.

ESTIMATES ARE GIVEN FOR THE RATES OF CONVERGENCE IN FUNCTIONAL CENTRAL LIMIT THEOREMS FOR QUANTITIES OF INTEREST IN THE G1/G/1 QUEUE AND A GENERAL MULTIPLE CHANNEL SYSTEM. THE METHOD EMPLOYED INVOLVES EXPRESSING THE UNDERLYING STOCHASTIC PROCESSES IN TERMS OF BROWNIAN MOTION USING THE SKOROKHOD REPRESENTATION THEOREM. ESTIMATES ARE GIVEN FOR THE RATES OF CONVERGENCE IN FUNCTIONAL CENTRAL LIMIT THEOREMS FOR THE QUEUE LENGTH PROCESS IN A SEQUENCE OF GENERAL MULTIPLE CHANNEL QUEUES.

• Corporate Authors:

  N/A

  ,   United States 
• Authors:
  • Kennedy, D P
• Publication Date: 1972-8

Media Info

• Pagination: p. 357-91
• Serial:
  • Advances in Applied Probability
  • Volume: 4
  • Issue Number: 2
  • Publisher: N/A

Subject/Index Terms

• TRT Terms: Queuing; Stochastic processes; Theorems
• Uncontrolled Terms: Convergence
• Old TRIS Terms: Brownian movement
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00226548
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 11 2003 12:00AM