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Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem

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  1. Cantarella, G.E. & Pavone, G. & Vitetta, A., 2006. "Heuristics for urban road network design: Lane layout and signal settings," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1682-1695, December.
  2. Clark, Stephen & Watling, David, 2005. "Modelling network travel time reliability under stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 39(2), pages 119-140, February.
  3. Alireza Ermagun & David M Levinson, 2019. "Development and application of the network weight matrix to predict traffic flow for congested and uncongested conditions," Environment and Planning B, , vol. 46(9), pages 1684-1705, November.
  4. Luathep, Paramet & Sumalee, Agachai & Lam, William H.K. & Li, Zhi-Chun & Lo, Hong K., 2011. "Global optimization method for mixed transportation network design problem: A mixed-integer linear programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 808-827, June.
  5. Snelder, M. & Wagelmans, A.P.M. & Schrijver, J.M. & van Zuylen, H.J. & Immers, L.H., 2005. "Optimal redesign of the Dutch road network," Econometric Institute Research Papers EI 2005-55, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  6. Chiou, Suh-Wen, 2018. "A traffic-responsive signal control to enhance road network resilience with hazmat transportation in multiple periods," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 105-118.
  7. Wang, Shuaian & Meng, Qiang & Yang, Hai, 2013. "Global optimization methods for the discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 42-60.
  8. Meng, Qiang & Yang, Hai, 2002. "Benefit distribution and equity in road network design," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 19-35, January.
  9. Karimi Dehnavi, Hadi & Rezvan, Mohammad Taghi & Shirmohammadli, Abdolmatin & Vallée, Dirk, 2013. "A solution for urban road selection and construction problem using simulation and goal programming—Case study of the city of Isfahan," Transport Policy, Elsevier, vol. 29(C), pages 46-53.
  10. Paramet Luathep & Agachai Sumalee & H. Ho & Fumitaka Kurauchi, 2011. "Large-scale road network vulnerability analysis: a sensitivity analysis based approach," Transportation, Springer, vol. 38(5), pages 799-817, September.
  11. Chung, Jin-Hyuk & Bae, Yun Kyung & Kim, Jinhee, 2016. "Optimal sustainable road plans using multi-objective optimization approach," Transport Policy, Elsevier, vol. 49(C), pages 105-113.
  12. Liu, Haoxiang & Wang, David Z.W., 2015. "Global optimization method for network design problem with stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 20-39.
  13. Andrew Koh & Simon Shepherd & Agachai Sumalee, 2009. "Second best toll and capacity optimisation in networks: solution algorithm and policy implications," Transportation, Springer, vol. 36(2), pages 147-165, March.
  14. Feng Xie & David Levinson, 2009. "Jurisdictional Control and Network Growth," Networks and Spatial Economics, Springer, vol. 9(3), pages 459-483, September.
  15. Wang, Guangmin & Gao, Ziyou & Xu, Meng, 2019. "Integrating link-based discrete credit charging scheme into discrete network design problem," European Journal of Operational Research, Elsevier, vol. 272(1), pages 176-187.
  16. Chiou, Suh-Wen, 2020. "A resilience-based signal control for a time-dependent road network with hazmat transportation," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
  17. Satish Ukkusuri & S. Waller, 2008. "Linear Programming Models for the User and System Optimal Dynamic Network Design Problem: Formulations, Comparisons and Extensions," Networks and Spatial Economics, Springer, vol. 8(4), pages 383-406, December.
  18. Bar-Gera, Hillel & Hellman, Fredrik & Patriksson, Michael, 2013. "Computational precision of traffic equilibria sensitivities in automatic network design and road pricing," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 485-500.
  19. Ng, ManWo & Szeto, W.Y. & Travis Waller, S., 2011. "Distribution-free travel time reliability assessment with probability inequalities," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 852-866, July.
  20. Diana P. Moreno-Palacio & Carlos A. Gonzalez-Calderon & John Jairo Posada-Henao & Hector Lopez-Ospina & Jhan Kevin Gil-Marin, 2022. "Entropy-Based Transit Tour Synthesis Using Fuzzy Logic," Sustainability, MDPI, vol. 14(21), pages 1-25, November.
  21. Chiou, Suh-Wen, 2005. "Bilevel programming for the continuous transport network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 361-383, May.
  22. 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.
  23. David Levinson & Feng Xie & Norah Oca, 2012. "Forecasting and Evaluating Network Growth," Networks and Spatial Economics, Springer, vol. 12(2), pages 239-262, June.
  24. David Watling, 2002. "A Second Order Stochastic Network Equilibrium Model, II: Solution Method and Numerical Experiments," Transportation Science, INFORMS, vol. 36(2), pages 167-183, May.
  25. Dung-Ying Lin & Ampol Karoonsoontawong & S. Waller, 2011. "A Dantzig-Wolfe Decomposition Based Heuristic Scheme for Bi-level Dynamic Network Design Problem," Networks and Spatial Economics, Springer, vol. 11(1), pages 101-126, March.
  26. Meng, Qiang & Liu, Zhiyuan & Wang, Shuaian, 2012. "Optimal distance tolls under congestion pricing and continuously distributed value of time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 937-957.
  27. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.
  28. Esfandeh, Tolou & Kwon, Changhyun & Batta, Rajan, 2016. "Regulating hazardous materials transportation by dual toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 20-35.
  29. Ma, Rui & Ban, Xuegang (Jeff) & Szeto, W.Y., 2017. "Emission modeling and pricing on single-destination dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 255-283.
  30. Rubio-Ardanaz, J. M. & Wu, J. H. & Florian, M., 2003. "Two improved numerical algorithms for the continuous dynamic network loading problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 171-190, February.
  31. Connors, Richard D. & Sumalee, Agachai & Watling, David P., 2007. "Sensitivity analysis of the variable demand probit stochastic user equilibrium with multiple user-classes," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 593-615, July.
  32. Giulio Cantarella & Antonino Vitetta, 2006. "The multi-criteria road network design problem in an urban area," Transportation, Springer, vol. 33(6), pages 567-588, November.
  33. Liu, Haoxiang & Wang, David Z.W., 2017. "Locating multiple types of charging facilities for battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 30-55.
  34. Sonia & Munish Puri, 2004. "Two level hierarchical time minimizing transportation problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 301-330, December.
  35. Patrice Marcotte & Sang Nguyen & Alexandre Schoeb, 2004. "A Strategic Flow Model of Traffic Assignment in Static Capacitated Networks," Operations Research, INFORMS, vol. 52(2), pages 191-212, April.
  36. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
  37. Ukkusuri, Satish V. & Patil, Gopal, 2009. "Multi-period transportation network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 625-642, July.
  38. Chiou, Suh-Wen, 2015. "A cutting plane projection method for bi-level area traffic control optimization with uncertain travel demand," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 390-403.
  39. Rinaldi, Marco & Tampère, Chris M.J., 2015. "An extended coordinate descent method for distributed anticipatory network traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 107-131.
  40. Mahdi Takalloo & Changhyun Kwon, 2019. "On the Price of Satisficing in Network User Equilibria," Papers 1911.07914, arXiv.org.
  41. Wang, Guangmin & Gao, Ziyou & Xu, Meng & Sun, Huijun, 2014. "Joint link-based credit charging and road capacity improvement in continuous network design problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 67(C), pages 1-14.
  42. 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.
  43. Tan, Zhijia & Yang, Hai & Tan, Wei & Li, Zhichun, 2016. "Pareto-improving transportation network design and ownership regimes," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 292-309.
  44. Francisco López-Ramos & Stefano Nasini & Armando Guarnaschelli, 2019. "Road network pricing and design for ordinary and hazmat vehicles: Integrated model and specialized local search," Post-Print hal-02510066, HAL.
  45. Yang, Hai & Bell, Michael G. H., 2001. "Transport bilevel programming problems: recent methodological advances," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 1-4, January.
  46. Luan, Jianlin & Polak, John & Krishnan, Rajesh, 2019. "The structure of public-private sector collaboration in travel information markets: A game theoretic analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 129(C), pages 19-38.
  47. Maher, Michael J. & Zhang, Xiaoyan & Vliet, Dirck Van, 2001. "A bi-level programming approach for trip matrix estimation and traffic control problems with stochastic user equilibrium link flows," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 23-40, January.
  48. Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.
  49. Birbil, S.I. & Fang, S-C. & Han, J., 2002. "Entropic Regularization Approach for Mathematical Programs with Equilibrium Constraints," ERIM Report Series Research in Management ERS-2002-71-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  50. Birbil, S.I. & Fang, S-C. & Han, J., 2002. "Entropic regularization approach for mathematical programs with equilibrium constraints," Econometric Institute Research Papers EI 2002-52, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  51. Dawei Li & Yiping Liu & Yuchen Song & Zhenghao Ye & Dongjie Liu, 2022. "A Framework for Assessing Resilience in Urban Mobility: Incorporating Impact of Ridesharing," IJERPH, MDPI, vol. 19(17), pages 1-20, August.
  52. Ng, ManWo & Waller, S. Travis, 2010. "A computationally efficient methodology to characterize travel time reliability using the fast Fourier transform," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1202-1219, December.
  53. Joseph Y. J. Chow & Amelia C. Regan, 2011. "Real Option Pricing of Network Design Investments," Transportation Science, INFORMS, vol. 45(1), pages 50-63, February.
  54. Faturechi, Reza & Miller-Hooks, Elise, 2014. "Travel time resilience of roadway networks under disaster," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 47-64.
  55. Sushant Sharma & Tom V Mathew, 2011. "Multiobjective Network Design for Emission and Travel-Time Trade-off for a Sustainable Large Urban Transportation Network," Environment and Planning B, , vol. 38(3), pages 520-538, June.
  56. Wang, David Z.W. & Lo, Hong K., 2010. "Global optimum of the linearized network design problem with equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 482-492, May.
  57. Liu, Haoxiang & Zou, Yuncheng & Chen, Ya & Long, Jiancheng, 2021. "Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
  58. Haque, Khademul & Mishra, Sabyasachee & Golias, Mihalis M., 2021. "Multi-period transportation network investment decision making and policy implications using econometric framework," Research in Transportation Economics, Elsevier, vol. 89(C).
  59. Li, Changmin & Yang, Hai & Zhu, Daoli & Meng, Qiang, 2012. "A global optimization method for continuous network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1144-1158.
  60. Wang, Yu & Liu, Haoxiang & Fan, Yinchao & Ding, Jianxun & Long, Jiancheng, 2022. "Large-scale multimodal transportation network models and algorithms-Part II: Network capacity and network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
  61. Hanghun Jo & Heungsoon Kim, 2021. "Developing a Traffic Model to Estimate Vehicle Emissions: An Application in Seoul, Korea," Sustainability, MDPI, vol. 13(17), pages 1-18, August.
  62. Ge, Qian & Han, Ke & Liu, Xiaobo, 2021. "Matching and routing for shared autonomous vehicles in congestible network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
  63. Chow, Joseph Y.J. & Regan, Amelia C., 2011. "Network-based real option models," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 682-695, May.
  64. Clark, Stephen D. & Watling, David P., 2006. "Applications of sensitivity analysis for probit stochastic network equilibrium," European Journal of Operational Research, Elsevier, vol. 175(2), pages 894-911, December.
  65. Ke, Ginger Y. & Zhang, Huiwen & Bookbinder, James H., 2020. "A dual toll policy for maintaining risk equity in hazardous materials transportation with fuzzy incident rate," International Journal of Production Economics, Elsevier, vol. 227(C).
  66. Zhang, Chao & Chen, Xiaojun & Sumalee, Agachai, 2011. "Robust Wardrop's user equilibrium assignment under stochastic demand and supply: Expected residual minimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 534-552, March.
  67. Song, Wenjing & Han, Ke & Wang, Yiou & Friesz, Terry L. & del Castillo, Enrique, 2018. "Statistical metamodeling of dynamic network loading," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 740-756.
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