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Global optimum of the linearized network design problem with equilibrium flows

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  1. Zangui, Mahmood & Aashtiani, Hedayat Z. & Lawphongpanich, Siriphong & Yin, Yafeng, 2015. "Path-differentiated pricing in congestion mitigation," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 202-219.
  2. 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).
  3. 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.
  4. 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.
  5. Tang, Yili & Jiang, Yu & Yang, Hai & Nielsen, Otto Anker, 2020. "Modeling and optimizing a fare incentive strategy to manage queuing and crowding in mass transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 247-267.
  6. David Eichler & Hillel Bar-Gera & Meir Blachman, 2013. "Vortex-Based Zero-Conflict Design of Urban Road Networks," Networks and Spatial Economics, Springer, vol. 13(3), pages 229-254, September.
  7. Bell, Michael G.H. & Pan, Jing-Jing & Teye, Collins & Cheung, Kam-Fung & Perera, Supun, 2020. "An entropy maximizing approach to the ferry network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 15-28.
  8. Resat, Hamdi G. & Turkay, Metin, 2015. "Design and operation of intermodal transportation network in the Marmara region of Turkey," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 16-33.
  9. Chen, Yu & Wang, Wei & Hua, Xuedong & Wang, David Z.W. & Wang, Jian, 2025. "Sustainable and reliable design of autonomous driving lanes: A chance-constrained extended goal programming approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 195(C).
  10. Zhong, Shaopeng & Jiang, Yu & Nielsen, Otto Anker, 2022. "Lexicographic multi-objective road pricing optimization considering land use and transportation effects," European Journal of Operational Research, Elsevier, vol. 298(2), pages 496-509.
  11. Yin, Chuanzhong & Zeng, Lingyong & Fu, Xiaowen & Zhong, Meisu, 2025. "Transition of multimodal transport network under different carbon price scenarios," Transport Policy, Elsevier, vol. 164(C), pages 1-26.
  12. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
  13. Zhao, Taiyi & Sun, Zhiguo & Wang, Jingquan & Tang, Yuchun & Varga, Liz & Skibniewski, Mirosław J., 2025. "Resilience-based transportation system planning optimization through dedicated autonomous vehicle lanes configuration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
  14. Tian, Qingyun & Wang, David Z.W. & Lin, Yun Hui, 2021. "Service operation design in a transit network with congested common lines," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 81-102.
  15. Chen, Yu & Wang, Wei & Wang, David Z.W., 2025. "Eco-Lanes: A flexible lane management scheme for enhancing traffic efficiency and promoting eco-friendly commuting," Transportation Research Part A: Policy and Practice, Elsevier, vol. 195(C).
  16. 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.
  17. Reza Faturechi & Shabtai Isaac & Elise Miller-Hooks & Lei Feng, 2018. "Risk-based models for emergency shelter and exit design in buildings," Annals of Operations Research, Springer, vol. 262(1), pages 185-212, March.
  18. 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.
  19. 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.
  20. Wei Huang & Guangming Xu & Hong K. Lo, 2020. "Pareto-Optimal Sustainable Transportation Network Design under Spatial Queuing," Networks and Spatial Economics, Springer, vol. 20(3), pages 637-673, September.
  21. Zhou, Bo & Chen, Guo & Song, Qiankun & Dong, Zhao Yang, 2020. "Robust chance-constrained programming approach for the planning of fast-charging stations in electrified transportation networks," Applied Energy, Elsevier, vol. 262(C).
  22. Liang, Jinpeng & Wu, Jianjun & Gao, Ziyou & Sun, Huijun & Yang, Xin & Lo, Hong K., 2019. "Bus transit network design with uncertainties on the basis of a metro network: A two-step model framework," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 115-138.
  23. Hong Zheng & Xiaozheng He & Yongfu Li & Srinivas Peeta, 2017. "Traffic Equilibrium and Charging Facility Locations for Electric Vehicles," Networks and Spatial Economics, Springer, vol. 17(2), pages 435-457, June.
  24. Fotouhi, Hossein & Moryadee, Seksun & Miller-Hooks, Elise, 2017. "Quantifying the resilience of an urban traffic-electric power coupled system," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 79-94.
  25. Ziyi Zhou & Min Yang & Fei Sun & Zheyuan Wang & Boqing Wang, 2021. "A Continuous Transportation Network Design Problem with the Consideration of Road Congestion Charging," Sustainability, MDPI, vol. 13(13), pages 1-16, June.
  26. Xu, Xiangdong & Chen, Anthony & Xu, Guangming & Yang, Chao & Lam, William H.K., 2021. "Enhancing network resilience by adding redundancy to road networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
  27. Asadabadi, Ali & Miller-Hooks, Elise, 2017. "Optimal transportation and shoreline infrastructure investment planning under a stochastic climate future," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 156-174.
  28. Ma, Xiaosu & Lo, Hong K., 2012. "Modeling transport management and land use over time," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 687-709.
  29. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
  30. Wang, Jian & Peeta, Srinivas & He, Xiaozheng, 2019. "Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 139-168.
  31. Zhang, Fang & Lu, Jian & Hu, Xiaojian & Meng, Qiang, 2023. "Integrated deployment of dedicated lane and roadside unit considering uncertain road capacity under the mixed-autonomy traffic environment," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
  32. 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.
  33. Nayan, Ashish & Wang, David Z.W., 2017. "Optimal bus transit route packaging in a privatized contracting regime," Transportation Research Part A: Policy and Practice, Elsevier, vol. 97(C), pages 146-157.
  34. Ospina, Juan P. & Duque, Juan C. & Botero-Fernández, Verónica & Montoya, Alejandro, 2022. "The maximal covering bicycle network design problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 159(C), pages 222-236.
  35. 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).
  36. Arash Kaviani & Russell G. Thompson & Abbas Rajabifard & Majid Sarvi, 2020. "A model for multi-class road network recovery scheduling of regional road networks," Transportation, Springer, vol. 47(1), pages 109-143, February.
  37. He, Fang & Yin, Yafeng & Lawphongpanich, Siriphong, 2014. "Network equilibrium models with battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 306-319.
  38. Hua Wang & Xiaoning Zhang, 2017. "Game theoretical transportation network design among multiple regions," Annals of Operations Research, Springer, vol. 249(1), pages 97-117, February.
  39. 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.
  40. Qingyun Tian & Yun Hui Lin & David Z. W. Wang, 2021. "Autonomous and conventional bus fleet optimization for fixed-route operations considering demand uncertainty," Transportation, Springer, vol. 48(5), pages 2735-2763, October.
  41. Wang, Jian & He, Xiaozheng & Peeta, Srinivas & Wang, Wei, 2022. "Globally convergent line search algorithm with Euler-based step size-determination method for continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 119-144.
  42. Xu, Guangming & Zhong, Linhuan & Hu, Xinlei & Liu, Wei, 2022. "Optimal pricing and seat allocation schemes in passenger railway systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
  43. Wang, David Z.W. & Liu, Haoxiang & Szeto, W.Y., 2015. "A novel discrete network design problem formulation and its global optimization solution algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 213-230.
  44. Wei, Tangjian & Batley, Richard & Liu, Ronghui & Xu, Guangming & Tang, Yili, 2024. "A method of time-varying demand distribution estimation for high-speed railway networks with user equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 189(C).
  45. Wang, Ting & Li, Yao & Jia, Bin & Long, Jiancheng, 2024. "An autonomous vehicle exclusive lane design problem under the mixed autonomy traffic environment: Model formulation and large-scale algorithm design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
  46. 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.
  47. Jie Ma & Lin Cheng & Dawei Li & Qiang Tu, 2018. "Stochastic Electric Vehicle Network Considering Environmental Costs," Sustainability, MDPI, vol. 10(8), pages 1-16, August.
  48. Cen, Xuekai & Lo, Hong K. & Li, Lu & Lee, Enoch, 2018. "Modeling electric vehicles adoption for urban commute trips," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 431-454.
  49. An, Kun & Lo, Hong K., 2014. "Ferry service network design with stochastic demand under user equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 70-89.
  50. Shen, Liang & Shao, Hu & Wu, Ting & Fainman, Emily Zhu & Lam, William H.K., 2020. "Finding the reliable shortest path with correlated link travel times in signalized traffic networks under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
  51. Liu, Haoxiang & Szeto, W.Y. & Long, Jiancheng, 2019. "Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 284-307.
  52. 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).
  53. Zhaoqi Zang & Xiangdong Xu & Anthony Chen & Chao Yang, 2022. "Modeling the α-max capacity of transportation networks: a single-level mathematical programming formulation," Transportation, Springer, vol. 49(4), pages 1211-1243, August.
  54. Xu, Guangming & Liu, Yihan & Gao, Yihan & Liu, Wei, 2023. "Integrated optimization of train stopping plan and seat allocation scheme for railway systems under equilibrium travel choice and elastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
  55. Najmi, Ali & Waller, Travis & Rashidi, Taha H., 2023. "Equity in network design and pricing: A discretely-constrained MPEC problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 176(C).
  56. Andrea Gemma & Ernesto Cipriani & Umberto Crisalli & Livia Mannini & Marco Petrelli, 2024. "A Bus Network Design Model under Demand Variation: A Case Study of the Management of Rome’s Bus Network," Sustainability, MDPI, vol. 16(2), pages 1-13, January.
  57. Liu, Shaojun & Wang, David Z.W. & Tian, Qingyun & Lin, Yun Hui, 2024. "Optimal configuration of dynamic wireless charging facilities considering electric vehicle battery capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
  58. 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.
  59. An, Kun & Lo, Hong K., 2015. "Robust transit network design with stochastic demand considering development density," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 737-754.
  60. Zhiwei Chen & Yucong Hu & Jutint Li & Xing Wu, 2020. "Optimal Deployment of Electric Bicycle Sharing Stations: Model Formulation and Solution Technique," Networks and Spatial Economics, Springer, vol. 20(1), pages 99-136, March.
  61. Sun, Yanshuo & Schonfeld, Paul, 2015. "Stochastic capacity expansion models for airport facilities," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 1-18.
  62. Jin, Kun & Wang, Wei & Li, Xinran & Hua, Xuedong & Chen, Siyuan & Qin, Shaoyang, 2022. "Identifying the critical road combination in urban roads network under multiple disruption scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
  63. Wang, Qingyi & Nie, Xiaofeng, 2022. "A stochastic programming model for emergency supply planning considering transportation network mitigation and traffic congestion," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
  64. Hamid Farvaresh & Mohammad Sepehri, 2013. "A Branch and Bound Algorithm for Bi-level Discrete Network Design Problem," Networks and Spatial Economics, Springer, vol. 13(1), pages 67-106, March.
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