Network Pricing of Congestion-Free Networks: The Elastic and Linear Demand Case

Published Online:https://doi.org/10.1287/trsc.2015.0628

References

  • Bouhtou M, van Hoesel S, van der Kraaij AF, Lutton JL (2007) Tariff optimization in networks. INFORMS J. Comput. 19:458–469.LinkGoogle Scholar
  • Brotcorne L, Labbé M, Marcotte P, Savard G (2001) A bilevel model for toll optimization on a multicommodity transportation network. Transportation Sci. 35:345–358.LinkGoogle Scholar
  • Dempe S, Dutta J (2012) Is bilevel programming a special case of mathematical programming with equilibrium constraints? Math. Programming 131:37–48.CrossrefGoogle Scholar
  • Dewez S, Labbé M, Marcotte P, Savard G (2008) New formulations and valid inequalities for a bilevel pricing problem. Oper. Res. Lett. 36:141–149.CrossrefGoogle Scholar
  • Didi-Biha M, Marcotte P, Savard G (2006) Path-based formulations of a bilevel toll setting problem. Dempe S, Kalashnikov V, eds. Optimization with Multivalued Mappings Theory, Theory, Applications and Algorithms (Springer Science+Business Media, New York), 29–50.CrossrefGoogle Scholar
  • Garey MR, Johnson DS (1979) Computers and Intractability: A Guide to the Theory of NP-Completeness (W. H. Freeman, New York).Google Scholar
  • Gilbert F, Marcotte P, Savard G (2015) A numerical study of the logit network pricing problem. Transportation Sci. 49:706–719.LinkGoogle Scholar
  • Grigoriev A, van Hoesel S, van der Kraaij F, Uetz M, Bouhtou M (2005) Pricing network edges to cross a river. Persiano G, Solis-Oba R, eds. Approximation and Online Algorithms, Lecture Notes Comput. Sci., Vol. 3351 (Springer-Verlag, Berlin Heidelberg), 140–153.CrossrefGoogle Scholar
  • ILOG CPLEX v10.1 (2006) Reference manual. Using CPLEX callable library and CPLEX mixed integer programming.Google Scholar
  • Labbé M, Marcotte P, Savard G (1998) A bilevel model of taxation and its application to optimal highway pricing. Management Sci. 44:1595–1607.LinkGoogle Scholar
  • Marcotte P, Zhu D (1997) Equilibria with infinitely many differentiated classes of customers. Ferris MC, Pang JS, eds. Complementary and Variational Problems (SIAM, Philadephia), 234–258.Google Scholar
  • Roch S, Marcotte P, Savard G (2005) Design and analysis of an approximation algorithm for Stackelberg network pricing. Networks 46:57–67.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.