A Bilevel Model and Solution Algorithm for a Freight Tariff-Setting Problem

References

  • Anandalingam G., White D. J. A Solution Method for the Linear Stackelberg Problem Using Penalty Functions. IEEE Trans. Autom. Control (1990) 35:1170–1173CrossrefGoogle Scholar
  • Audet C., Hansen P., Jaumard B., Savard G. A Symmetrical Linear Maxmin Approach to Disjoint Bilinear Programming. Math.Program. (1999) 85:573–592CrossrefGoogle Scholar
  • Brotcorne L. Approches opérationnelles et stratégiques des Problèmes de trafic routier. (1998) . Ph.D. thesis, Université Libre de Bruxelles, BelgiumGoogle Scholar
  • CPLEX Optimization Inc. Using the CPLEX Callable Library and CPLEX Mixed Integer Library. (1993) Google Scholar
  • Fisk C. S. A Conceptual Framework for Optimal Transportation Systems Planning with Integrated Supply and Demand Models. Transp. Sci. (1986) 20:37–47LinkGoogle Scholar
  • Friesz T. L., Gottfried J. A., Morlok E. K. A Sequential Shipper–Carrier Network Model for Predicting Freight Flows. Transp. Sci. (1986) 20:80–91LinkGoogle Scholar
  • Gendreau M., Marcotte P., Savard G. A Hybrid Tabu Ascent Algorithm for the Linear Bilevel Programming Problem. J.Global Optimiz. (1996) 8:217–233CrossrefGoogle Scholar
  • Goldberg A. V., Tarjan R. E. Finding Minimum-Cost Circulation by Successive Approximation. Math. Opns. Res. (1990) 15:430–466LinkGoogle Scholar
  • Harker P. T. Multiple Equilibrium Behaviors on Networks. Transp. Sci. (1988) 22:39–46LinkGoogle Scholar
  • Hurley W., Petersen E. R. Optimal Freight Transport Pricing and the Freight Network Equilibrium Problem. (1994a) 255–265Proc. of TRISTAN II, CapriGoogle Scholar
  • Hurley W., Petersen E. R. Nonlinear Tariffs and Freight Network Equilibrium. Transp. Sci. (1994b) 28:236–245LinkGoogle Scholar
  • Klingman D., Napier A., Stutz J. Netgen: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems. Management Sci. (1974) 20:814–821LinkGoogle Scholar
  • Labbé M., Marcotte P., Savard G. A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing. Management Sci. (1998a) 44:1595–1607LinkGoogle Scholar
  • Labbé M., Marcotte P., Savard G. On a Class of Bilevel Programs. (1998b) . Forthcoming in the Proceedings of the 26th Workshop: Nonlinear Optimization and Applications, International School of Mathematics, G. Stampacchia, Erice, ItalyGoogle Scholar
  • Marcotte P. Algorithms for the Network Oligopoly Problem. J. Oper. Res. Soc. (1987) 38:1051–1065CrossrefGoogle Scholar
  • Rey P., Tirole J. The Logic and Vertical Restraint. Amer. Economic Rev. (1986) 76:921–939Google Scholar
  • Thieu T. V. A Note on the Solution of Bilinear Problems by Reduction to Concave Minimization. Math. Program (1988) 41:249–260CrossrefGoogle Scholar
  • Tirole J.A Theory of Industrial Organisation (1989) (MIT Press)Google Scholar
  • Wilson R.Nonlinear Pricing (1993) (Oxford University Press, New York) 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.