Solution methods for robust pricing of transportation networks under uncertain demand

Transportation Research Part C: Emerging Technologies

Volumn 18, Issue 5, 2010, Pages 656-667

  Gardner, Lauren M ^a   Unnikrishnan, Avinash ^b   Waller, S Travis ^a  

^a The University of Texas at Austin   (United States)

^b West Virginia University   (United States)

Author keywords

Networks; Pricing; Robust design; Uncertainty

Indexed keywords

APPROXIMATION ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL EFFICIENCY; GENETIC ALGORITHMS; HEURISTIC METHODS; NETWORKS (CIRCUITS); OPTIMAL SYSTEMS; SIMULATED ANNEALING;

ADAPTIVE SIMULATED ANNEALING; APPROXIMATION METHODS; COMPUTATIONAL TESTS; DETERMINISTIC DEMAND; ROBUST DESIGNS; SYSTEM PERFORMANCE EVALUATION; TRANSPORTATION NETWORK; UNCERTAINTY;

COSTS;

DESIGN; GENETIC ALGORITHM; PRICE DETERMINATION; PRICE DYNAMICS; SIMULATED ANNEALING; TRANSPORTATION ECONOMICS; TRANSPORTATION SYSTEM; TRAVEL DEMAND; UNCERTAINTY ANALYSIS;

EID: 77953358640     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2009.09.004     Document Type: Article

References (25)

1. Arnott R., Small K. The economics of traffic congestion. American Scientists 1994, 20(2):123-127.
2. Bureau of Public Roads. Traffic Assignment Manual 1964, Urban Planning Division, US Department of Commerce, Washington, DC.
3. Chen A., Subprasom K. Analysis of regulation and policy of private toll roads in a build-operate-transfer scheme under demand uncertainty. Transportation Research Part A 2007, 10.1016/j.tra.2006.11.009.
4. Deb, K., Agrawal, S., Pratap, A., Meyarivan, T., 2000. A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. KANGAL Rep. No. 200001. Indian Institute of Technology, Kanpur, India.
5. Duthie, J., Unnikrishnan, A., Waller, S.T., 2007. Network Evaluation with Uncertain and Correlated Long-Term Demand, Working Paper.
6. Ferrari P. Road network toll pricing and social welfare. Transportation Research Part B 2002, 36(5):471-483.
7. Gardner, Unnikrishnan, Waller Robust pricing for transportation networks with demand uncertainty. Transportation Research Record: Journal of the Transportation Research Board 2008, 2085:21-30.
8. Hearn D.W., Ramana M.V. Solving congestion toll pricing models. Equilibrium and Advanced Transportation Modeling 1998, 109-124. Kluwer Academic Publishers, Boston. P. Marcotte, S. Nguyen (Eds.).
9. Hearn D.W., Yildirim M.B. A toll pricing framework for traffic assignment problems with elastic demands. Current Trends in Transportation and Network Analysis 2001, Kluwer Academic Publishers, Dordrecht, The Netherlands, (Miscellanea in Honor of Michael Florian). M. Gendreau, P. Marcotte (Eds.).
10. Ingber L. Adaptive simulated annealing (ASA): lessons learned. Control and Cybernetics 1996, 25(1):33-54.
11. Knight F.H. Some fallacies in the interpretation of social cost. Quarterly Journal of Economics 1924, 38:582-606.
12. Labbe M., Marcotte P., Savard G. A bilevel model of taxation and its application to optimal highway pricing. Management Science 1998, 44(12):1608-1622.
13. Lam W.H.K., Tam M.L. Risk analysis of traffic and revenue forecasts for road investment projects. Journal of Infrastructure Systems 1998, 4(1):19-27.
14. Lawphongpanich, S., Hearn, D.W., 2004. An MPEC approach to second best toll pricing. Mathematical Programming, Series B.
15. Li, H., Bliemer, M.C.J., Bovy P.H.L., 2007. Optimal toll design from reliability perspective. In: Proceedings of the 6th Triennnial Conference on Transportation Analysis, Phuket, Thailand.
16. Morrison S.A. A survey of road pricing. Transportation Research Part A 1986, 20(2):87-97.
17. Nagae T., Akamatsu T. Dynamic revenue management of a toll road project under transportation demand uncertainty. Networks and Spatial Economics 2006, 6:345-357.
18. Patriksson M., Rockafellar R.T. A mathematical model and descent algorithm for bilevel traffic management. Transportation Science 2002, 36(3):271-291.
19. Pigou A.C. The Economics of Welfare, 1978 1920, AMS Press, New York, (reprint). fourth ed.
20. Ukkusuri S., Tom V.M., Waller S.T. Robust network design problem under demand uncertainty. Computer Aided Civil and Infrastructure Engineering 2007, 22:6-18.
21. Verhoef E.T. Second-best congestion pricing in general networks: algorithms for finding second-best optimal toll levels and toll points. Transportation Research Part B 2002, 36(8):707-729.
22. Waller S.T., Schofer J.L., Ziliaskopoulos A.K. Evaluation with traffic assignment under demand uncertainty. Transportation Research Record: Journal of the Transportation Research Board 2001, 1771:69-75.
23. Walters A.A. The theory and measurement of private and social cost of highway congestion. Econometrica 1961, 29:676-699.
24. Yang H., Lam W.H.K. Optimal road tolls under conditions of queuing and congestion. Transportation Research Part A 1996, 30(5):319-332.
25. Yildrim M.B., Hearn D.W. A first best toll pricing/next term framework for variable demand traffic assignment problems. Transportation Research Part B 2005, 39:659-678.