QUEUEING THEORY APPROACHES

RESULTS ARE PRESENTED OF SOME OF THE STUDIES OF PROBABILITY MODELS OF TRAFFIC DELAY. SOME FUNDAMENTAL CHARACTERISTICS ARE DESCRIBED OF VARIABLE PROCESSES AS WELL AS THE IMPORTANT ASSUMPTIONS GOVERNING THE ARRIVAL OF STREAMS OF TRAFFIC AT A GIVEN POINT AND THE VARIABILITY OF GAP ACCEPTANCE OF DRIVERS AND PEDESTRIANS ATTEMPTING TO CROSS A TRAFFIC STREAM. A BRIEF SUMMARY IS PRESENTED OF SOME ELEMENTS OF QUEUEING OR WAITING-LINE THEORY FROM THE BRANCH OF MATHEMATICS DEALING WITH CONGESTED SYSTEMS. SUMMARIES ARE PRESENTED OF THE MOST SIGNIFICANT PUBLISHED WORKS RELATIVE TO DELAYS AT SIGNALIZED AND STOP-SIGN CONTROLLED INTERSECTIONS, PASSING ON A TWO-LANE ROADWAY, AND A NUMBER OF SPECIAL TOPICS SUCH AS MULTIPLE QUEUES, PARKING AND ONE-LANE BOTTLENECKS.

• Record URL:
  https://onlinepubs.trb.org/Onlinepubs/sr/sr79/79-004.pdf
• Supplemental Notes:
  • pp 49-96, 53 FIG, 2 TAB, 76 REF. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved.
• Corporate Authors:

  Highway Research Board

  2101 Constitution Avenue, NW
  Washington, DC    20418
• Authors:
  • Cleveland, D E
  • Capelle, D G
• Publication Date: 1964

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: pp 49-96
• Monograph Title: AN INTRODUCTION TO TRAFFIC FLOW THEORY
• Serial:
  • Highway Research Board Special Report
  • Issue Number: 79
  • Publisher: Highway Research Board

Subject/Index Terms

• TRT Terms: Bottlenecks; Gap acceptance; Intersections; Mathematical analysis; Parking; Passing; Probability theory; Queuing theory; Stop signs; Traffic delays; Traffic signals
• Old TRIS Terms: Queueing theory
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00225744
• Record Type: Publication
• Files: TRIS, TRB
• Created Date: Aug 17 1970 12:00AM