A cutting plane projection method for bi-level area traffic control optimization with uncertain travel demand
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DOI: 10.1016/j.amc.2015.05.009
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- (Jeff) Ban, Xuegang & Ferris, Michael C. & Tang, Lisa & Lu, Shu, 2013. "Risk-neutral second best toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 67-87.
- Martine Labbé & Patrice Marcotte & Gilles Savard, 1998. "A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing," Management Science, INFORMS, vol. 44(12-Part-1), pages 1608-1622, December.
- Chiou, Suh-Wen, 2003. "TRANSYT derivatives for area traffic control optimisation with network equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 263-290, March.
- Shu Lu, 2008. "Sensitivity of Static Traffic User Equilibria with Perturbations in Arc Cost Function and Travel Demand," Transportation Science, INFORMS, vol. 42(1), pages 105-123, February.
- Verhoef, Erik T., 2002.
"Second-best congestion pricing in general static transportation networks with elastic demands,"
Regional Science and Urban Economics, Elsevier, vol. 32(3), pages 281-310, May.
- Erik T. Verhoef, 1998. "Second-Best Congestion Pricing in General Static Transportation Networks with Elastic Demand," Tinbergen Institute Discussion Papers 98-086/3, Tinbergen Institute.
- Erik T. Verhoef, 2000. "Second-Best Congestion Pricing in General Static Transportation Networks with Elastic Demands," Tinbergen Institute Discussion Papers 00-078/3, Tinbergen Institute.
- Yan, Hai & Lam, William H. K., 1996. "Optimal road tolls under conditions of queueing and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(5), pages 319-332, September.
- Yildirim, Mehmet Bayram & Hearn, Donald W., 2005. "A first best toll pricing framework for variable demand traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 659-678, September.
- Chaisak Suwansirikul & Terry L. Friesz & Roger L. Tobin, 1987. "Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem," Transportation Science, INFORMS, vol. 21(4), pages 254-263, November.
- Josefsson, Magnus & Patriksson, Michael, 2007. "Sensitivity analysis of separable traffic equilibrium equilibria with application to bilevel optimization in network design," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 4-31, January.
- Roger L. Tobin & Terry L. Friesz, 1988. "Sensitivity Analysis for Equilibrium Network Flow," Transportation Science, INFORMS, vol. 22(4), pages 242-250, November.
- Lou, Yingyan & Yin, Yafeng & Lawphongpanich, Siriphong, 2010. "Robust congestion pricing under boundedly rational user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 15-28, January.
- Verhoef, Erik T. & Koh, Andrew & Shepherd, Simon, 2010.
"Pricing, capacity and long-run cost functions for first-best and second-best network problems,"
Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 870-885, August.
- Erik T. Verhoef & Andrew Koh & Simon Shepherd, 2008. "Pricing, Capacity and Long-run Cost Functions for First-best and Second-best Network Problems," Tinbergen Institute Discussion Papers 08-056/3, Tinbergen Institute.
- Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
- John M. Mulvey & Robert J. Vanderbei & Stavros A. Zenios, 1995. "Robust Optimization of Large-Scale Systems," Operations Research, INFORMS, vol. 43(2), pages 264-281, April.
- Theodore Tsekeris & Stefan Voß, 2009. "Design and evaluation of road pricing: state-of-the-art and methodological advances," Netnomics, Springer, vol. 10(1), pages 5-52, April.
- Zhang, Xiaoning & Yang, Hai, 2004. "The optimal cordon-based network congestion pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 517-537, July.
- Yuping Qiu & Thomas L. Magnanti, 1989. "Sensitivity Analysis for Variational Inequalities Defined on Polyhedral Sets," Mathematics of Operations Research, INFORMS, vol. 14(3), pages 410-432, August.
- Chung, Byung Do & Yao, Tao & Friesz, Terry L. & Liu, Hongcheng, 2012. "Dynamic congestion pricing with demand uncertainty: A robust optimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1504-1518.
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Keywords
Congestion pricing; Bi-level min–max model; Cutting plane method; Nash–Stackelberg game; Equilibrium flow;All these keywords.
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