Networks and Spatial Economics

, Volume 10, Issue 2, pp 273–292 | Cite as

Dynamic User Equilibrium Model for Combined Activity-Travel Choices Using Activity-Travel Supernetwork Representation

  • Gitakrishnan Ramadurai
  • Satish UkkusuriEmail author


Integrated urban transportation models have several benefits over sequential models including consistent solutions, quicker convergence, and more realistic representation of behavior. Static models have been integrated using the concept of Supernetworks. However integrated dynamic transport models are less common. In this paper, activity location, time of participation, duration, and route choice decisions are jointly modeled in a single unified dynamic framework referred to as Activity-Travel Networks (ATNs). ATNs is a type of Supernetwork where virtual links representing activity choices are added to augment the travel network to represent additional choice dimensions. Each route in the augmented network represents a set of travel and activity arcs. Therefore, choosing a route is analogous to choosing an activity location, duration, time of participation, and travel route. A cell-based transmission model (CTM) is embedded to capture the traffic flow dynamics. The dynamic user equilibrium (DUE) behavior requires that all used routes (activity-travel sequences) provide equal and greater utility compared to unused routes. An equivalent variational inequality problem is obtained. A solution method based on route-swapping algorithm is tested on a hypothetical network under different demand levels and parameter assumptions.


Integrated urban transport model Activity-travel networks Dynamic user equilibrium Route-swapping algorithm 



We thank two anonymous referees for their comments on an earlier version of the paper. Parts of this work were supported by September 11th Memorial Program for Regional Transportation Planning administered by the New York Metropolitan Transportation Council (NYMTC) and the Emerging Scholars Grant from the University Transportation Research Center, New York City. Any opinions, findings, and conclusions expressed in this paper are those of the authors.


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringRensselaer Polytechnic InstituteTroyUSA

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