On the existence of pricing strategies in the discrete time heterogeneous single bottleneck model

Transportation Research Part B: Methodological

Volumn 45 `, Issue 9, 2011, Pages 1483-1500

  Doan, Kien ^a   Ukkusuri, Satish ^a   Han, Lanshan ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Heterogeneous commuter; Single bottleneck; System optimal; Toll strategies; User equilibrium

Indexed keywords

RESEARCH; TRANSPORTATION;

HETEROGENEOUS COMMUTER; SINGLE BOTTLENECK; SYSTEM-OPTIMAL; TOLL STRATEGIES; USER EQUILIBRIUM;

LINEAR PROGRAMMING;

COMMUTING; LINEAR PROGRAMING; NUMERICAL MODEL; ROAD PRICING;

EID: 83555178555     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2011.05.019     Document Type: Article

References (20)

1. Alfa S.A. A review of models for the temporal distribution of peak traffic demand. Transportation Research Part B 1986, 20(6):491-499.
2. Arnott R., dePalma A., Lindsey R. Schedule delay and departure time decisions with heterogeneous commuters. Transportation Research Record 1988, 1197:56-67.
3. Arnott R., dePalma A., Lindsey R. A structural model of peak-period congestion: a traffic bottleneck with elastic demand. The American Economic Review 1993, 83(1):161-179.
4. Arnott R., dePalma A., Lindsey R. A welfare congestion tolls with heterogeneous commuters. Journal of Transportation Economics and Policy 1994, 28(2):139-161.
5. Daganzo C. The uniqueness of a time-dependent equilibrium distribution of arrivals at a single bottleneck. Transportation Science 1985, 19(1):29-37.
6. Daganzo C., Garcia R. A pareto improving strategy for the time-dependent morning commute problem. Transportation Science 2000, 34(3):303-311.
7. Hendrickson C., Kocur G. Schedule delay and departure time decisions in a deterministic model. Transportation Science 1981, 15(1):62-77.
8. Jahn O., Mohring H.R., Schulz S.A., Stier-Moses E.N. System-optimal routing of traffic flows with user constraints in networks with congestion. Operations Research 2005, 53(4):600-616.
9. Mun S. Peak-load pricing of a bottleneck with traffic jam. Journal of Urban Economics 1999, 46(3):323-349.
10. Laih C-H. Queuing at a bottleneck with single-and multi-step tolls. Transportation Research Part A 1994, 28(3):197-208.
11. Lindsey R. Existence, uniqueness, and trip cost function properties of user equilibrium in the bottleneck model with multiple user classes. Transportation Science 2004, 38(3):293-314.
12. Liu Y., Nie Y. Morning commute problem considering route choice, user heterogeneity and alternative system optima. Transportation Research Part B 2011, 45(4):619-642.
13. Newell G. The morning commute for nonidentical travellers. Transportation Science 1987, 21(2):74-88.
14. Ramadurai G., Ukkusuri S. Dynamic traffic equilibrium: theoretical and experimental network game results in the SB model. Transportation Research Record 2007, 2029:1-13.
15. Ramadurai, G., 2009. Novel dynamic user equilibrium models: analytical formulations, multi-dimensional choice, and an efficient algorithm. PhD Dissertation, Rensselaer Polytechnic Institute.
16. Ramadurai G., Ukkusuri S., Pang S.-J., Zhao Z. Linear complementarity formulation for single bottleneck model with heterogeneous commuters. Transportation Research Part B 2010, 44(2):193-214.
17. Smith J.M. The existence of a time-dependent equilibrium distribution of arrivals at a single bottleneck. Transportation Science 1984, 18(4):385-394.
18. Vickrey S.W. Congestion theory and transport investment. American Economic Review 1969, 59(2):251-261.
19. Wardrop G.J. Some theoretical aspects of road traffic research. ICE Proceedings: Engineering Divisions 1952, 1(3):325-362.
20. Yang H., Huang H.-J. Mathematical and economic theory of road pricing 2005, Elsevier Ltd., Oxford, UK.