Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity

In this paper we formulate the dynamic user equilibrium problem with an embedded cell transmission model on a network with a single OD pair, multiple parallel paths, multiple user classes with elastic demand. The formulation is based on ideas from complementarity theory. The travel time is estimated based on two methods which have different transportation applications: (1) maximum travel time and (2) average travel time. These travel time functions result in linear and non-linear complementarity formulations respectively. Solution existence and the properties of the formulations are rigorously analyzed. Extensive computational experiments are conducted to demonstrate the benefits of the proposed formulations on various test networks.

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Supplemental Notes:
- Abstract reprinted with permission from Elsevier.
Authors:
- Han, Lanshan
- Ukkusuri, Satish
- Doan, Kien
Publication Date: 2011-12

Language

English

Media Info

Media Type: Print
Features: References; Tables;
Pagination: pp 1749-1767
Serial:
- Transportation Research Part B: Methodological
- Volume: 45
- Issue Number: 10
- Publisher: Elsevier
- ISSN: 0191-2615
- Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

TRT Terms: Choice models; Departure time; Experiments; Formulas; Functions (Mathematics); Traffic equilibrium; Traffic estimation; Travel demand; Travel time; Travelers
Uncontrolled Terms: Cell transmission model; Complementarity; Dynamic user equilibrium; Heterogeneous users
Subject Areas: Highways; Planning and Forecasting; I71: Traffic Theory;

Filing Info

Accession Number: 01359500
Record Type: Publication
Files: TRIS
Created Date: Dec 22 2011 2:08PM