Dynamic user-optimal assignment in continuous time and space

Transportation Research Part B: Methodological

Volumn 38, Issue 7, 2004, Pages 571-592

  Hoogendoorn, Serge P ^a   Bovy, Piet H L ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Continuous space models; Dynamic assignment; Path choice models; Pedestrian traffic

Indexed keywords

HEURISTIC METHODS; MATHEMATICAL MODELS; OPTIMAL SYSTEMS; PEDESTRIAN SAFETY; PROBLEM SOLVING; TRAFFIC CONTROL;

CONTINUOUS PATHS; PEDESTRIAN INFRASTRUCTURE;

TRANSPORTATION;

MATHEMATICAL ANALYSIS; PEDESTRIAN; TRAVEL BEHAVIOR;

EID: 2542446484     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2002.12.001     Document Type: Article

References (14)

1. Beckmann M.J. Puu T. Spatial Economics: Density, Potential and Flow. Studies in Regional Science and Urban Economics 1985 North-Holland Amsterdam, The Netherlands
2. Bliemer, M., 2001. Analytical Dynamic Traffic Assignment with Multiple User-Classes. TRAIL Dissertation Series T2001/1. Delft University Press
3. Crandall M.G. Lions P.L. Viscosity solutions of Hamilton Jacobi Bellman equations Trans. AMS 277 1984 1-42
4. Fleming W.H. Soner H.M. Controlled Markov Processes and Viscosity Solutions 1993 Springer-Verlag
5. Friesz T.L. Bernstein D. Smith T.E. Tobin R.L. Wie B.-W. A variational inequality formulation of the dynamic network user equilibrium problem Oper. Res. 41 1 1993 179-191
6. Gipps, P.G., 1986. Simulation of Pedestrian Traffic in Buildings. Schriftenreihe des Instituts fuer Verkehrswesen 35. University of Karlsruhe
7. Hamacher H.W. Tjandra S.A. Mathematical modelling of evacuation problems: A state of the art Pedestrian and Evacuation Dynamics 2001 59-74 Springer
8. Hoogendoorn S.P. Bovy P.H.L. Pedestrian route-choice and activity scheduling theory and models Transport. Res. Part B: Methodol. 38 2 2004 169-190
9. Hughes R. A continuum theory for the flow of pedestrians Transport. Res. Part B: Methodol. 36 6 2002 507-535
10. Lighthill M.J. Whitham J.B. On kinematic waves. II: A theory of traffic flow on long crowded roads Proc. Roy. Soc. A 229 1955 317-347
11. Puu T. Beckmann M. Continuous space modeling Hall R.W. Handbook of Transportation Science 1999 269-310
12. Weidmann, U., 1993. Transporttechnik der Fussgaenger. ETHZ, Schriftenreihe IVT-Berichte 90, Zuerich (In German)
13. Yang H. Wong S.C. A continuous equilibrium model for estimating market areas of competitive facilities with elastic demand and market externatility Transport. Sci. 34 2 2000 216-227
14. Yang H. Yagar S. Iida Y. Traffic assignment in a congested discrete continuous transportation system Transport. Res. 28 2 1994 161-174