A Numerical Study of the Logit Network Pricing Problem
Published Online:5 Jan 2015https://doi.org/10.1287/trsc.2014.0560
References
- (1997) Decomposition of path choice entropy in general transport networks. Transportation Sci. 31(4):349–362.Link, Google Scholar
- (1999) Discrete choice methods and their applications to short term travel decisions. Hall RW, ed. Handbook of Transportation Science (Kluwer Academic, Dordrecht, Netherlands), 5–33.Crossref, Google Scholar
- (2007) Tariff optimization in networks. INFORMS J. Comput. 19(3):458–469.Link, Google Scholar
- (2001) A bilevel model for toll optimization on a multicommodity transportation network. Transportation Sci. 35(4):345–358.Link, Google Scholar
- (2009) Pricing geometric transportation networks. Internat. J. Computational Geometry Appl. 19(6):507–520.Crossref, Google Scholar
- (2004) Toll-design problem with stochastic route choice. Environment Planning B: Planning Design 31(5):731–742.Crossref, Google Scholar
- (2009) Optimization of limited network capacity with toll settings. Inform. Sci. 179(1–2):109–119.Crossref, Google Scholar
- (2005) A trust-region method for nonlinear bilevel programming: Algorithm and computational experience. Comput. Optim. Appl. 30(3):211–227.Crossref, Google Scholar
- (2000) Trust-Region Methods (SIAM, Philadelphia).Crossref, Google Scholar
- (2006) A smoothing heuristic for a bilevel pricing problem. Eur. J. Oper. Res. 174(3):1396–1413.Crossref, Google Scholar
- (2010) Cost-Minimizing Choice Behavior in Transportation Planning: A Theoretical Framework for Logit Models (Springer-Verlag, Berlin Heidelberg).Crossref, Google Scholar
- (1980) Some developments in equilibrium traffic assignment. Transportation Res. Part B: Methodological 14(3):243–255.Crossref, Google Scholar
- (2014a) Logit network pricing. Comput. Oper. Res. 41:291–298.Crossref, Google Scholar
- (2014b) Mixed-logit network pricing. Computat. Optim. Appl. 57(1):105–127.Crossref, Google Scholar
- (1996) Optimizing multinomial logit profit functions. Management Sci. 42(7):992–1003.Link, Google Scholar
- (2004) Edge pricing of multicommodity networks for heterogeneous selfish users. Proc. 45th Ann. IEEE Sympos. Foundations Comput. Sci. (FOCS) (IEEE Computer Society, Washington, DC), 268–276.Crossref, Google Scholar
- (1998) A bilevel model of taxation and its application to optimal highway pricing. Management Sci. 44(12, Part 1):1608–1622.Link, Google Scholar
- (1998) Algorithms for logit-based stochastic user equilibrium assignment. Transportation Res. Part B: Methodological 32(8):539–549.Crossref, Google Scholar
- (2001) A trust region algorithm for nonlinear bilevel programming. Oper. Res. Lett. 29(4):171–179.Crossref, Google Scholar
- (2005) An approximation algorithm for Stackelberg network pricing. Networks 46(1):57–67.Crossref, Google Scholar
- (1981) A comparison of stochastic and deterministic traffic assignment over congested networks. Transportation Res. Part B: Methodological 15(1):53–64.Crossref, Google Scholar
- (2008) An overview of Stackelberg pricing in networks. Eur. J. Oper. Res. 189(3):1393–1402.Crossref, Google Scholar
- (2004) Modeling private highways in networks with entry-exit based toll charges. Transportation Res. Part B: Methodological 38(3):191–213.Crossref, Google Scholar
- (2001) Sensitivity analysis for stochastic user equilibrium network flows—A dual approach. Transportation Sci. 35(2):124–133.Link, Google Scholar

