Dynamic revenue management of a toll road project under transportation demand uncertainty

Networks and Spatial Economics

Volumn 6, Issue 3-4, 2006, Pages 345-357

  Nagae, Takeshi ^a   Akamatsu, Takashi ^b  

^a KOBE UNIVERSITY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

Dynamic revenue management; Generalized complementarity problem; Stochastic singular control; Toll road projects; Transportation demand uncertainty

Indexed keywords

COMPLEMENTARITY PROBLEMS; REVENUE MANAGEMENT; ROAD PROJECTS; STOCHASTIC SINGULAR CONTROL; TRANSPORTATION DEMAND;

ALGORITHMS; HIGHWAY PLANNING; LINEAR TRANSFORMATIONS; MANAGEMENT; MATHEMATICAL TRANSFORMATIONS; STOCHASTIC SYSTEMS; TOLL HIGHWAYS;

PROBLEM SOLVING;

EID: 33748158788     PISSN: 1566113X     EISSN: 15729427     Source Type: Journal    
DOI: 10.1007/s11067-9288-5     Document Type: Article

References (19)

1. Arnott R, Kraus M (1995) Financing capacity in the bottleneck model. J Urban Econ 38:272-290
2. Beckmann MJ (1965) On optimal tolls for highways, tunnels and bridges. In: Edie L, Herman R, Rothery R (eds.) Vehicular traffic science. Elsevier, pp. 331-341
3. Dafermos SC, Sparrow FT (1971) Optimal resource allocation and toll patterns in user-optimized transportation network. Journal of Transportation Economics and Policy 5:198-200
4. de Palma A, Lindsey R (2000) Private toll roads: Competition under various ownership regimes. Ann Reg Sci 34:13-35
5. de Palma A, Lindsey R (2002) Private roads, competition, and incentives to adopt time-based congestion tolling. J Urban Econ 52:217-241
6. Duffie D (1992) Dynamic asset pricing theory. Princeton University Press, Princeton
7. Ferris MC, Pang J-S (1997) Engineering and economic applications of complementarity problems. SIAM Rev 39:669-713
8. Karatzas I (1983) A class of singular stochastic control problems. Adv Appl Probab 15:225-254
9. Kumar S, Muthuraman K (2004) A numerical method for solving singular stochastic control problems. Oper Res 52(4):563-582
10. Kushner HJ, Martins LF (1991) Numerical methods for stochastic singular control problems. SIAM J Control Optim 29:1443-1475
11. Kushner HJ, Dupuis PG (1992) Numerical methods for stochastic control problems in continuous time. Springer, Berlin Heidelberg New York
12. Nagae T, Akamatsu T (2004) A stochastic control model of infrastructure project decisions represented as a graph structure. Journal of Infrastructure Planning and Management 772(IV-65):185-202 (in Japanese)
13. Øksendal B (1998) Stochastic differential equations: An introduction with applications. Springer, Berlin Heidelberg New York
14. Smith MJ (1979) The marginal cost taxation of a transportation network. Transp Res B 13:237-242
15. Talluri Kalyan T, Van Ryzin Garrett J (2004) The theory and practice of revenue management. Kluwer
16. Vickrey WS (1969) Congestion theory and transport investment. Am Econ Rev 59:251-260
17. Yang H, Huang H-J (1997) Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory. Transp Res B 31:425-440
18. Yang H, Meng Q (2000) Highway pricing and capacity choice in a road network under a build-operate-transfer scheme. Transp Res A 34:207-222
19. Yang H (1999) System optimum, stochastic user equilibrium, and optimal link tolls. Transp Sci 33:354-360