Penalty Decomposition Methods for Second-Best Congestion Pricing Problems on Large-Scale Networks

Published Online:https://doi.org/10.1287/ijoc.2023.0144

References

  • Andreani R, Haeser G, Schuverdt ML, Silva PJ (2012) A relaxed constant positive linear dependence constraint qualification and applications. Math. Programming 135(1–2):255–273.CrossrefGoogle Scholar
  • Arnott R, Small K (1994) The economics of traffic congestion. Amer. Sci. 82(5):446–455.Google Scholar
  • Ban XJ, Liu HX (2009) A link-node discrete-time dynamic second best toll pricing model with a relaxation solution algorithm. Networks Spatial Econom. 9(2):243–267.CrossrefGoogle Scholar
  • Ban XJ, Ferris MC, Tang L, Lu S (2013) Risk-neutral second best toll pricing. Transportation Res. Part B Methodological 48:67–87.CrossrefGoogle Scholar
  • Ban X, Lu S, Ferris M, Liu HX (2009) Risk averse second best toll pricing. Lam W, Wong S, Lo H, eds. Transportation and Traffic Theory 2009: Golden Jubilee (Springer, Boston), 197–218.CrossrefGoogle Scholar
  • Beckmann MJ, McGuire CB, Winsten CB (1955) Studies in the Economics of Transportation (RAND Corporation, Santa Monica, CA).Google Scholar
  • Bergendorff P, Hearn DW, Ramana MV (1997) Congestion toll pricing of traffic networks. Pardalos PM, Hearn DW, Hager WW, eds. Network Optim., Lecture Notes in Economics and Mathematical Systems, vol. 450 (Springer, Berlin, Heidelberg), 51–71.Google Scholar
  • Dempe S, Zemkoho AB (2013) The bilevel programming problem: Reformulations, constraint qualifications and optimality conditions. Math. Programming 138:447–473.CrossrefGoogle Scholar
  • Di X, Liu HX, Ban XJ (2016) Second best toll pricing within the framework of bounded rationality. Transportation Res. Part B Methodological 83:74–90.CrossrefGoogle Scholar
  • Ferrari P (2002) Road network toll pricing and social welfare. Transportation Res. Part B Methodological 36(5):471–483.CrossrefGoogle Scholar
  • Fletcher R (2005) On the Barzilai-Borwein method. Qi L, Teo K, Yang X, eds. Optim. Control Appl., Applied Optimization, vol. 96 (Springer, Boston), 235–256.Google Scholar
  • Galligari A, Sciandrone M (2018) A convergent and fast path equilibration algorithm for the traffic assignment problem. Optim. Methods Software 33(2):354–371.CrossrefGoogle Scholar
  • Guo L, Zhou W, Wang X, Yang H, Fan T (2024) Penalty decomposition methods for second-best congestion pricing problems on large-scale networks. http://dx.doi.org/10.1287/ijoc.2023.0144.cd, https://github.com/INFORMSJoC/2023.0144.Google Scholar
  • Hearn DW, Ramana MV (1998) Solving Congestion Toll Pricing Models (Springer, Boston), 109–124.CrossrefGoogle Scholar
  • Joksimovic D, Bliemer MCJ, Bovy PHL (2005) Optimal toll design problem in dynamic traffic networks with joint route and departure time choice. Transportation Res. Record 1923(1):61–72.CrossrefGoogle Scholar
  • Lawphongpanich S, Hearn DW (2004) An MPEC approach to second-best toll pricing. Math. Programming 101(1):33–55.CrossrefGoogle Scholar
  • Lindsey R (2006) Do economists reach a conclusion? Econom. J. Watch 3(2):292–379.Google Scholar
  • Mangasarian OL, Fromovitz S (1967) The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. J. Math. Anal. Appl. 17(1):37–47.CrossrefGoogle Scholar
  • Meng Q, Yang H, Bell MGH (2001) An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem. Transportation Res. Part B Methodological 35(1):83–105.CrossrefGoogle Scholar
  • Migdalas A (1995) Bilevel programming in traffic planning: Models, methods and challenge. J. Global Optim. 7(4):381–405.CrossrefGoogle Scholar
  • Nash C (2003) Project unite: Unification of accounts and marginal costs for transport efficiency. Final technical report, ITS Leeds, Leeds, UK.Google Scholar
  • Nguyen VH, Strodiot JJ, Mifflin R (1980) On conditions to have bounded multipliers in locally Lipschitz programming. Math. Programming 18(1):100–106.CrossrefGoogle Scholar
  • Patriksson M, Rockafellar RT (2002) A mathematical model and descent algorithm for bilevel traffic management. Transportation Sci. 36(3):271–291.LinkGoogle Scholar
  • Pigou AC, Aslanbeigui N (2017) The Economics of Welfare (Routledge, Oxfordshire, UK).CrossrefGoogle Scholar
  • Schrank D, Eisele B, Lomax T (2019) Urban mobility report 2019. The Texas A&M Transportation Institute, College Station, TX.Google Scholar
  • Sheffi Y (1985) Urban Transportation Networks, vol. 6 (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
  • Verhoef ET (2000) Second-best congestion pricing in general networks-algorithms for finding second-best optimal toll levels and toll points. Tinbergen Institute Discussion Paper, Tinbergen Institute, Amsterdam.Google Scholar
  • Verhoef ET (2002) Second-best congestion pricing in general networks. Heuristic algorithms for finding second-best optimal toll levels and toll points. Transportation Res. Part B Methodological 36(8):707–729.CrossrefGoogle Scholar
  • Yang H (2001) Transport bilevel programming problems: Recent methodological advances. Transportation Res. Part B Methodological. 35(1):1–4.CrossrefGoogle Scholar
  • Yang H, Bell MGH (1998) Models and algorithms for road network design: A review and some new developments. Transportation Rev. 18(3):257–278.CrossrefGoogle Scholar
  • Yang H, Huang HJ (2005) Mathematical and Economic Theory of Road Pricing (Elsevier, London).CrossrefGoogle Scholar
  • Yang H, Lam WH (1996) Optimal road tolls under conditions of queueing and congestion. Transportation Res. Part A Policy Practice 30(5):319–332.CrossrefGoogle Scholar
  • Yang H, Zhang X (2003) Optimal toll design in second-best link-based congestion pricing. Transportation Res. Record 1857(1):85–92.CrossrefGoogle Scholar
  • Yang H, Zhang X, Huang HJ (2002) Determination of optimal toll levels and toll locations of alternative congestion pricing schemes. Taylor MAP, ed. Transportation and Traffic Theory in the 21st Century (Emerald Group Publishing Limited, Leeds, UK), 519–540.CrossrefGoogle Scholar
  • Ye J, Zhu D (1995) Optimality conditions for bilevel programming problems. Optimization 33(1):9–27.CrossrefGoogle Scholar
  • Yin Y (2000) Genetic-algorithms-based approach for bilevel programming models. J. Transportation Engrg. 126(2):115–120.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.