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https://nap.nationalacademies.org/catalog/27432/critical-issues-in-transportation-for-2024-and-beyond

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

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