Nonlinear pricing on transportation networks

Agdeppa, 2007, The traffic equilibrium problem with nonadditive costs and its monotone mixed complementarity problem formulation, Transportation Research Part B, 41, 862, 10.1016/j.trb.2007.04.008 Ahuja, 1993 Bazaraa, 2010 Bazaraa, 2006 Brooke, 1992 De Borger, 2001, Discrete choice models and optimal two-part tariffs in the presence of externalities: optimal taxation of cars, Regional Science and Urban Economics, 31, 471, 10.1016/S0166-0462(00)00078-8 Drud, 1992, A large-scale GRG code, ORSA Journal on Computing, 6, 207, 10.1287/ijoc.6.2.207 Dupuit, J., 1894. “On tolls and transport charges,” Annales des Pont et Chaussees, 17 (Also translated in International Economic Papers, Macmillan, London, 1952). Facchinei, 2003, vols. I and II Florian, 2003, Network equilibrium and pricing, 373 Frank, 1956, An algorithm for quadratic programming, Naval Research Logistics Quarterly, 3, 95, 10.1002/nav.3800030109 Gabriel, 1997, The traffic equilibrium problem with nonadditive path costs, Transportation Science, 31, 337, 10.1287/trsc.31.4.337 Gabriel, 1997, Solving the nonadditive traffic equilibrium problem, vol. 450, 72 Hearn, 1987, Restricted simiplicial decomposition: computation and extensions, Mathematical Programming Study, 31, 99, 10.1007/BFb0121181 IBM Corp., 2009. User’s Manual for CPLEX. Armonk, New York. Lawphongpanich, 1984, Simplicial decomposition of the asymmetric traffic assignment problem, Transportation Research Part B, 18, 123, 10.1016/0191-2615(84)90026-2 Lawphongpanich, 2010, Solving the Pareto-improving toll problem via manifold suboptimization, Transportation Research Part C, 18, 234, 10.1016/j.trc.2009.08.006 Lo, 2000, Traffic equilibrium problem with route-specific costs: formulation and algorithms, Transportation Research Part B, 34, 493, 10.1016/S0191-2615(99)00035-1 Luo, 1996 Maruyama, 2006, Difference between area-based and cordon-based congestion pricing: investigation by trip-chain-based network equilibrium model with non-additive path costs, Transportation Research Record, 1964, 1, 10.3141/1964-01 Maruyama, 2007, Efficiency and equity comparison of cordon- and area-based road pricing schemes using a trip-chain equilibrium model, Transportation Research Part A, 41, 655 Menon, 1993, Singapore’s road pricing system: its past, present and future, Institute of Traffic Engineer Journal, 63, 44 Patriksson, M., 1994. The Traffic Assignment Problem: Models and Methods. VSP, Ultrecht. Pigou, 1920 Rinnooy Kan, 1989, Global optimization, 631 Santos, 2004, Preliminary results of the London congestion charging scheme, Public Works Management & Policy, 9, 164, 10.1177/1087724X04268569 Stockholmsforsoket. 2006. <www.stockholmsforsoket.se/templates/page.aspx?id=10215>. Von Hohenbalken, 1977, Simplicial decomposition in nonlinear programming algorithms, Mathematical Programming, 13, 49, 10.1007/BF01584323 Wang, 2011, Nonlinear pricing on private roads with congestion and toll collection costs, Transportation Research Part B, 45, 4, 10.1016/j.trb.2010.05.004 Wilson, 1993 Yin, 2006, Internalizing emission externality on road networks, Transportation Research Part D, 11, 292, 10.1016/j.trd.2006.05.003 Zhang, 2004, The optimal cordon-based network congestion pricing problem, Transportation Research Part B, 38, 517, 10.1016/j.trb.2003.08.001