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Linear Programming Models for the User and System Optimal Dynamic Network Design Problem: Formulations, Comparisons and Extensions

Citations

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Cited by:

  1. 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.
  2. W. Szeto & Y. Jiang & D. Wang & A. Sumalee, 2015. "A Sustainable Road Network Design Problem with Land Use Transportation Interaction over Time," Networks and Spatial Economics, Springer, vol. 15(3), pages 791-822, September.
  3. Hong Zheng & Yi-Chang Chiu, 2011. "A Network Flow Algorithm for the Cell-Based Single-Destination System Optimal Dynamic Traffic Assignment Problem," Transportation Science, INFORMS, vol. 45(1), pages 121-137, February.
  4. Ukkusuri, Satish V. & Han, Lanshan & Doan, Kien, 2012. "Dynamic user equilibrium with a path based cell transmission model for general traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1657-1684.
  5. Li, Anna C.Y. & Nozick, Linda & Xu, Ningxiong & Davidson, Rachel, 2012. "Shelter location and transportation planning under hurricane conditions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 715-729.
  6. Ben-Tal, Aharon & Chung, Byung Do & Mandala, Supreet Reddy & Yao, Tao, 2011. "Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1177-1189, September.
  7. Chou, Chang-Chi & Chiang, Wen-Chu & Chen, Albert Y., 2022. "Emergency medical response in mass casualty incidents considering the traffic congestions in proximity on-site and hospital delays," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
  8. Xiaozheng He & Srinivas Peeta, 2014. "Dynamic Resource Allocation Problem for Transportation Network Evacuation," Networks and Spatial Economics, Springer, vol. 14(3), pages 505-530, December.
  9. Jiancheng Long & Wai Yuen Szeto, 2019. "Link-Based System Optimum Dynamic Traffic Assignment Problems in General Networks," Operations Research, INFORMS, vol. 67(1), pages 167-182, January.
  10. Elnaz Miandoabchi & Reza Farahani & Wout Dullaert & W. Szeto, 2012. "Hybrid Evolutionary Metaheuristics for Concurrent Multi-Objective Design of Urban Road and Public Transit Networks," Networks and Spatial Economics, Springer, vol. 12(3), pages 441-480, September.
  11. Han, Lanshan & Ukkusuri, Satish & Doan, Kien, 2011. "Complementarity formulations for the cell transmission model based dynamic user equilibrium with departure time choice, elastic demand and user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1749-1767.
  12. Ngoduy, D. & Hoang, N.H. & Vu, H.L. & Watling, D., 2016. "Optimal queue placement in dynamic system optimum solutions for single origin-destination traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 92(PB), pages 148-169.
  13. Kang, Jee Eun & Chow, Joseph Y.J. & Recker, Will W., 2013. "On activity-based network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 398-418.
  14. Caixia Li & Sreenatha Gopalarao Anavatti & Tapabrata Ray, 2017. "A Path-Based Solution Algorithm for Dynamic Traffic Assignment," Networks and Spatial Economics, Springer, vol. 17(3), pages 841-860, September.
  15. Shen, Siqian & Chen, Zhihao, 2013. "Optimization models for differentiating quality of service levels in probabilistic network capacity design problems," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 71-91.
  16. 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.
  17. Dung-Ying Lin & Avinash Unnikrishnan & S. Waller, 2011. "A Dual Variable Approximation Based Heuristic for Dynamic Congestion Pricing," Networks and Spatial Economics, Springer, vol. 11(2), pages 271-293, June.
  18. Byung Chung & Tao Yao & Chi Xie & Andreas Thorsen, 2011. "Robust Optimization Model for a Dynamic Network Design Problem Under Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 11(2), pages 371-389, June.
  19. Douglas Bish & Edward Chamberlayne & Hesham Rakha, 2013. "Optimizing Network Flows with Congestion-Based Flow Reductions," Networks and Spatial Economics, Springer, vol. 13(3), pages 283-306, September.
  20. 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.
  21. Wang, Peirong (Slade) & Li, Pengfei (Taylor) & Chowdhury, Farzana R. & Zhang, Li & Zhou, Xuesong, 2020. "A mixed integer programming formulation and scalable solution algorithms for traffic control coordination across multiple intersections based on vehicle space-time trajectories," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 266-304.
  22. Hoang, Nam H. & Vu, Hai L. & Panda, Manoj & Lo, Hong K., 2019. "A linear framework for dynamic user equilibrium traffic assignment in a single origin-destination capacitated network," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 329-352.
  23. Hua Sun & Ziyou Gao & W. Szeto & Jiancheng Long & Fangxia Zhao, 2014. "A Distributionally Robust Joint Chance Constrained Optimization Model for the Dynamic Network Design Problem under Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 14(3), pages 409-433, December.
  24. Zhu, Feng & Ukkusuri, Satish V., 2017. "Efficient and fair system states in dynamic transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 272-289.
  25. Doan, Kien & Ukkusuri, Satish V., 2012. "On the holding-back problem in the cell transmission based dynamic traffic assignment models," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1218-1238.
  26. S H Melouk & B B Keskin & C Armbrester & M Anderson, 2011. "A simulation optimization-based decision support tool for mitigating traffic congestion," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 1971-1982, November.
  27. Carey, Malachy & Watling, David, 2012. "Dynamic traffic assignment approximating the kinematic wave model: System optimum, marginal costs, externalities and tolls," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 634-648.
  28. Tao Yao & Supreet Mandala & Byung Chung, 2009. "Evacuation Transportation Planning Under Uncertainty: A Robust Optimization Approach," Networks and Spatial Economics, Springer, vol. 9(2), pages 171-189, June.
  29. Chi Xie & Jennifer Duthie, 2015. "An Excess-Demand Dynamic Traffic Assignment Approach for Inferring Origin-Destination Trip Matrices," Networks and Spatial Economics, Springer, vol. 15(4), pages 947-979, December.
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