QUASI-STATIONARY DISTRIBUTIONS OF QUEUES IN HEAVY TRAFFIC

THIS PAPER DEMONSTRATES THAT, WHEN IN HEAVY TRAFFIC, THE QUASI-STATIONARY DISTRIBUTION OF THE VIRTUAL WAINTING TIME PROCESS OF BOTH THE M/G/1 AND G1/M1 QUEUES AS WELL AS THE QUASI-STATIONARY DISTRIBUTION OF THE WAITING TIMES OF THE M/G/1 QUEUE CAN BE APPROXIMATED BY THE SAME GAMMA DISTRIBUTION. WHAT CHARACTERIZES THIS APPROXIMATING GAMMA DISTRIBUTION ARE THE FIRST TWO MOMENTS OF THE SERVICE TIME AND INTER-ARRIVAL TIME DISTRIBUTION ONLY. A SIMILAR APPROXIMATING BEHAVIOR IS DEMONSTRATED FOR THE QUEUE SIZE PROCESS. /AUTHOR/

• Authors:
  • Kyprianou, E K
• Publication Date: 1972-12

Media Info

• Pagination: p. 821-31
• Serial:
  • Journal Applied Probability /UK/
  • Volume: 9
  • Issue Number: 4

Subject/Index Terms

• TRT Terms: Queuing
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00226638
• Record Type: Publication
• Files: TRIS
• Created Date: Apr 30 1973 12:00AM