A New Modeling Framework for Travelers’ Day-to-Day Route Choice Adjustment Processes

This paper presents a new Markov model to study travelers’ stochastic behavior in their day-to-day route choice adjustment process. The model is characterized by two components: how often a traveler reconsiders his/her route choice (route-switching rate); and what the probability is to take a certain route (route choice probability). By applying the evolutionary game theory, the conventional perfect information and complete rationality requirement in equilibrium analysis are relaxed. A deterministic mean (expected) route flow dynamic is derived, which closely approximates the underlying route flow stochastic process in any future time span as the travel demand grows large. The mean dynamic is general in that many existing deterministic processes can be considered as its special cases, and more importantly, their meaningful individual behavior explanation are unveiled. It can be shown that with certain reasonable assumptions of behavioral rules of route-switching rate and route choice probability, the Wardrop user equilibrium can be approached by travelers’ day-to-day behavior adjustment process, even if an individual traveler only has the access to incomplete information and exhibits limited rationality. In addition, day-to-day mean route flow dynamic may evolve to user equilibrium, the stochastic user equilibrium, system optimal and other disequilibrium states depending on different behavioral rules of route-switching rate and route choice probability, network supply and congestion toll pricing schemes. This model is particularly useful to study the resulting day-to-day disequilibrium traffic evolving pattern when a portion of a network infrastructure is to undergo a scheduled upgrade or when a capacity reduction takes place due to external interventions. The authors demonstrate this in the case study with three testing scenarios.

Language

  • English

Media Info

  • Media Type: Print
  • Features: Appendices; Figures; References; Tables;
  • Pagination: pp 813-837
  • Monograph Title: Transportation and Traffic Theory 2007

Subject/Index Terms

Filing Info

  • Accession Number: 01076784
  • Record Type: Publication
  • ISBN: 9780080453750
  • Files: TRIS
  • Created Date: Sep 9 2007 2:08PM