ON THE LOCAL AND GLOBAL STABILITY OF A TRAVEL ROUTE CHOICE ADJUSTMENT PROCESS

This paper presents a stability analysis for the dynamic model of a travel route choice adjustment process proposed by Dupuis and Nagurney (1993). In particular, the authors investigate both local and global stability issues for this adjustment process that may be of concern to transportation planners and analysts. Two distinct approaches for stability analysis are proposed based on the general stability analysis results obtained recently by Zhang and Nagurney (1995) for projected dynamical systems. The global stability results are established using a "monotonicity" approach, under monotonicity assumptions on the link cost and travel disutility functions. A distinct approach, termed a "regularity" approach, is then provided to verify the local stability of the adjustment process at a regular equilibrium flow pattern.

• Availability:
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• Corporate Authors:

  Elsevier

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  Kidlington, Oxford  United Kingdom  OX5 1GB
• Authors:
  • Zhang, Dan
  • Nagurney, A
• Publication Date: 1996-8

Language

• English

Media Info

• Pagination: p. 245-262
• Serial:
  • Transportation Research Part B: Methodological
  • Volume: 30
  • Issue Number: 4
  • Publisher: Elsevier
  • ISSN: 0191-2615
  • Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

• TRT Terms: Alertness; Dynamic tests; International; Local transportation; Route choice; Stability analysis; Traffic
• Uncontrolled Terms: Dynamic analysis; Monotony
• Old TRIS Terms: Local traffic
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 00723330
• Record Type: Publication
• Files: TRIS, ATRI
• Created Date: Jul 25 1996 12:00AM