THE MAX-PLUS ALGEBRA APPROACH TO TRANSPORTATION PROBLEMS

This paper shows the merits of the so-called max-plus algebra as a mathematical modeling framework for Discrete Event Dynamic Systems (DEDS) in the transportation field. An overview is given of the modeling and analysis concepts of the max-plus algebra approach in the setting of a railway system. The analysis of the dynamic behavior of transportation systems include aspects such as periodicity, stability and robustness. Also essential dynamic characteristics can be quantified such as minimum cycle time and critical circuits. As an example of the potential of this approach an analysis is given of the dynamic properties of the Netherlands intercity railway system.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0080435904
• Corporate Authors:

  Elsevier

  The Boulevard, Langford Lane
  Kidlington, Oxford  United Kingdom  OX5 1GB
• Authors:
  • Goverde, RMP
  • Bovy, P H L
  • Olsder, G J
• Conference:
  • World Transport Research: Selected Proceedings of the 8th World Conference on Transport Research
  • Location: Antwerp, Belgium
  • Date: 1998-7-12 to 1998-7-17
• Publication Date: 1999

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 377-390

Subject/Index Terms

• TRT Terms: Algebra; Analysis; Critical values; Dynamics; Intercity transportation; Mathematical models; Rail transit; Stability (Mechanics); Transportation planning
• Subject Areas: Administration and Management; Highways; Operations and Traffic Management; Public Transportation;

Filing Info

• Accession Number: 00784038
• Record Type: Publication
• ISBN: 0080435904
• Report/Paper Numbers: Volume 3
• Files: TRIS, ATRI
• Created Date: Feb 16 2000 12:00AM