ON THE STABILITY OF TRAFFIC FLOW, REPORT NO 1

AN ANALYSIS IS MADE OF THE STABILITY OF A QUEUE OF VEHICLES MOVING ON A SINGLE LANE OF ROADWAY. EACH VEHICLE EXCEPT FOR THE LEAD VEHICLE IS ASSUMED TO OBEY A SPEED- SPACING RELATIONSHIP WHICH IS EXPRESSED BY A GIVEN EQUATION. STANDARD LAPLACE TRANSFORM TECHNIQUES ARE USED IN THE ANALYSIS. IN PARTICULAR, THREE SPECIFIC CASES ARE STUDIED: (1) THE LEAD VEHICLE FROM A STATIONARY POSITION INSTANTANEOUSLY MOVES AT A CERTAIN SPEED, (2) THE LEAD VEHICLE MOVING AT THE CERTAIN SPEED INSTANTANEOUSLY STOPS, AND (3) THE SPEED OF THE LEAD VEHICLE IS A SINUSOIDAL OSCILLATION ABOUT A CERTAIN SPEED, FREQUENCY AND AMPLITUDE. SOLUTIONS, IN THE FORM OF EXPANSIONS, ARE ALSO DERIVED FOR THE SPEED HISTORY OF A POSITIONED VEHICLE IN A PLATOON AND NUMERICAL EXAMPLES ARE ILLUSTRATED.

• Supplemental Notes:
  • Vol 2, No 1, PP 11-26
• Corporate Authors:

  J Operations Research Society /Japan

  ,    
• Authors:
  • Kometani, E
  • Sasaki, T
• Publication Date: 0

Subject/Index Terms

• TRT Terms: Equations; Laplace transforms; Queuing; Single lane traffic; Spacing; Speed; Stability (Mechanics); Stability analysis; Traffic flow; Vehicles
• Subject Areas: Highways; Operations and Traffic Management; Vehicles and Equipment;

Filing Info

• Accession Number: 00227111
• Record Type: Publication
• Files: TRIS
• Created Date: Jan 5 1970 12:00AM