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A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem

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Cited by:

  1. 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.
  2. Samitha Samaranayake & Walid Krichene & Jack Reilly & Maria Laura Delle Monache & Paola Goatin & Alexandre Bayen, 2018. "Discrete-Time System Optimal Dynamic Traffic Assignment (SO-DTA) with Partial Control for Physical Queuing Networks," Transportation Science, INFORMS, vol. 52(4), pages 982-1001, August.
  3. 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.
  4. Georgia Perakis & Guillaume Roels, 2006. "An Analytical Model for Traffic Delays and the Dynamic User Equilibrium Problem," Operations Research, INFORMS, vol. 54(6), pages 1151-1171, December.
  5. Xinhua Mao & Jianwei Wang & Changwei Yuan & Wei Yu & Jiahua Gan, 2018. "A Dynamic Traffic Assignment Model for the Sustainability of Pavement Performance," Sustainability, MDPI, vol. 11(1), pages 1-19, December.
  6. Schmitt, Marius & Ramesh, Chithrupa & Lygeros, John, 2017. "Sufficient optimality conditions for distributed, non-predictive ramp metering in the monotonic cell transmission model," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 401-422.
  7. Lu, Chung-Cheng & Liu, Jiangtao & Qu, Yunchao & Peeta, Srinivas & Rouphail, Nagui M. & Zhou, Xuesong, 2016. "Eco-system optimal time-dependent flow assignment in a congested network," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 217-239.
  8. Ampol Karoonsoontawong & Steven Waller, 2010. "Integrated Network Capacity Expansion and Traffic Signal Optimization Problem: Robust Bi-level Dynamic Formulation," Networks and Spatial Economics, Springer, vol. 10(4), pages 525-550, December.
  9. Wang, Hongping & Fang, Yi-Ping & Zio, Enrico, 2022. "Resilience-oriented optimal post-disruption reconfiguration for coupled traffic-power systems," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
  10. Daganzo, Carlos F. & So, Stella K., 2011. "Managing evacuation networks," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1424-1432.
  11. Wada, Kentaro & Akamatsu, Takashi, 2013. "A hybrid implementation mechanism of tradable network permits system which obviates path enumeration: An auction mechanism with day-to-day capacity control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 60(C), pages 94-112.
  12. 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.
  13. Shen, Wei & Zhang, H. Michael, 2009. "On the Morning Commute Problem in a Corridor Network with Multiple Bottlenecks: Its System-optimal Traffic Flow Patterns and the Realizing Tolling Scheme," Institute of Transportation Studies, Working Paper Series qt9bs815sq, Institute of Transportation Studies, UC Davis.
  14. Shen, Wei & Zhang, H.M., 2014. "System optimal dynamic traffic assignment: Properties and solution procedures in the case of a many-to-one network," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 1-17.
  15. Hong Zheng & Yi-Chang Chiu & Pitu B. Mirchandani, 2015. "On the System Optimum Dynamic Traffic Assignment and Earliest Arrival Flow Problems," Transportation Science, INFORMS, vol. 49(1), pages 13-27, February.
  16. Recker, Will, 2008. "Development of an Adaptive Corridor Traffic Control Model," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1sq7049f, Institute of Transportation Studies, UC Berkeley.
  17. Nie, Yu (Marco), 2011. "A cell-based Merchant-Nemhauser model for the system optimum dynamic traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 329-342, February.
  18. Yu-Ting Hsu & Srinivas Peeta, 2013. "An aggregate approach to model evacuee behavior for no-notice evacuation operations," Transportation, Springer, vol. 40(3), pages 671-696, May.
  19. Bish, Douglas R. & Sherali, Hanif D., 2013. "Aggregate-level demand management in evacuation planning," European Journal of Operational Research, Elsevier, vol. 224(1), pages 79-92.
  20. Como, Giacomo & Lovisari, Enrico & Savla, Ketan, 2016. "Convexity and robustness of dynamic traffic assignment and freeway network control," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 446-465.
  21. Meng Li & Guowei Hua & Haijun Huang, 2018. "A Multi-Modal Route Choice Model with Ridesharing and Public Transit," Sustainability, MDPI, vol. 10(11), pages 1-14, November.
  22. Chai, Huajun, 2019. "Dynamic Traffic Routing and Adaptive Signal Control in a Connected Vehicles Environment," Institute of Transportation Studies, Working Paper Series qt9ng3z8vn, Institute of Transportation Studies, UC Davis.
  23. Zhengfeng Huang & Pengjun Zheng & Gang Ren & Yang Cheng & Bin Ran, 2016. "Simultaneous optimization of evacuation route and departure time based on link-congestion mitigation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 83(1), pages 575-599, August.
  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. Long, Jiancheng & Gao, Ziyou & Szeto, W.Y., 2011. "Discretised link travel time models based on cumulative flows: Formulations and properties," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 232-254, January.
  26. 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.
  27. Schmitt, Marius & Lygeros, John, 2020. "On convexity of the robust freeway network control problem in the presence of prediction and model uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 167-190.
  28. 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.
  29. Michael W. Levin, 2019. "A Combinatorial Dynamic Network Trajectory Reservation Algorithm for Connected Autonomous Vehicles," Networks and Spatial Economics, Springer, vol. 19(1), pages 27-55, March.
  30. Islam, Tarikul & Vu, Hai L. & Hoang, Nam H. & Cricenti, Antonio, 2018. "A linear bus rapid transit with transit signal priority formulation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 163-184.
  31. Wang, Yan & Wang, Junwei, 2019. "Integrated reconfiguration of both supply and demand for evacuation planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 82-94.
  32. 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.
  33. Reilly, Jack & Martin, Sébastien & Payer, Mathias & Bayen, Alexandre M., 2016. "Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 366-382.
  34. Satsukawa, Koki & Wada, Kentaro & Watling, David, 2022. "Dynamic system optimal traffic assignment with atomic users: Convergence and stability," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 188-209.
  35. 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).
  36. Kontorinaki, Maria & Spiliopoulou, Anastasia & Roncoli, Claudio & Papageorgiou, Markos, 2017. "First-order traffic flow models incorporating capacity drop: Overview and real-data validation," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 52-75.
  37. So, Stella K. & Daganzo, Carlos F., 2010. "Managing evacuation routes," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 514-520, May.
  38. Babak Javani & Abbas Babazadeh, 2020. "Path-Based Dynamic User Equilibrium Model with Applications to Strategic Transportation Planning," Networks and Spatial Economics, Springer, vol. 20(2), pages 329-366, June.
  39. Cantelmo, Guido & Viti, Francesco, 2019. "Incorporating activity duration and scheduling utility into equilibrium-based Dynamic Traffic Assignment," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 365-390.
  40. Denissa Sari Darmawi Purba & Eleftheria Kontou & Chrysafis Vogiatzis, 2021. "Evacuation Route Planning for Alternative Fuel Vehicles," Papers 2109.01578, arXiv.org, revised May 2022.
  41. Schmitt, Marius & Lygeros, John, 2018. "An exact convex relaxation of the freeway network control problem with controlled merging junctions," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 1-25.
  42. 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.
  43. Muñoz, Juan Carlos & Laval, Jorge A., 2006. "System optimum dynamic traffic assignment graphical solution method for a congested freeway and one destination," Transportation Research Part B: Methodological, Elsevier, vol. 40(1), pages 1-15, January.
  44. Long, Jiancheng & Szeto, W.Y. & Du, Jie & Wong, R.C.P., 2017. "A dynamic taxi traffic assignment model: A two-level continuum transportation system approach," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 222-254.
  45. Kachani, Soulaymane & Perakis, Georgia, 2006. "Fluid dynamics models and their applications in transportation and pricing," European Journal of Operational Research, Elsevier, vol. 170(2), pages 496-517, April.
  46. Liu, Zheng & Liu, Jia-lin & Li, Ya-ping & Zhang, Shi-qing, 2022. "Multiclass dynamic emergency traffic collaborative optimization considering multiple solutions with stage-based algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
  47. Zhang, Pinchao & Qian, Sean, 2020. "Path-based system optimal dynamic traffic assignment: A subgradient approach," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 41-63.
  48. Alf Kimms & Marc Maiwald, 2017. "An exact network flow formulation for cell‐based evacuation in urban areas," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(7), pages 547-555, October.
  49. Long, Jiancheng & Szeto, W.Y. & Gao, Ziyou & Huang, Hai-Jun & Shi, Qin, 2016. "The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 179-206.
  50. 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.
  51. 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.
  52. Friesz, Terry L. & Han, Ke & Neto, Pedro A. & Meimand, Amir & Yao, Tao, 2013. "Dynamic user equilibrium based on a hydrodynamic model," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 102-126.
  53. Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2007. "Spillback congestion in dynamic traffic assignment: A macroscopic flow model with time-varying bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1114-1138, December.
  54. 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.
  55. Recker, Will & Zhenhg, Xing & Chu, Lianyu, 2010. "Development of an Adaptive Corridor Traffic Control Model," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3tx5b17h, Institute of Transportation Studies, UC Berkeley.
  56. 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.
  57. Calafiore, Giuseppe & El Ghaoui, Laurent, 2008. "Robust Dynamic Traffic Assignment under Demand and Capacity Uncertainty," University of California Transportation Center, Working Papers qt96j6m01h, University of California Transportation Center.
  58. 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.
  59. Yannis Pavlis & Will Recker, 2009. "A Mathematical Logic Approach for the Transformation of the Linear Conditional Piecewise Functions of Dispersion-and-Store and Cell Transmission Traffic Flow Models into Linear Mixed-Integer Form," Transportation Science, INFORMS, vol. 43(1), pages 98-116, February.
  60. 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.
  61. Kimms, A. & Maiwald, M., 2018. "Bi-objective safe and resilient urban evacuation planning," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1122-1136.
  62. Hediye Tuydes-Yaman & Athanasios Ziliaskopoulos, 2014. "Modeling demand management strategies for evacuations," Annals of Operations Research, Springer, vol. 217(1), pages 491-512, June.
  63. He, Sheng-Xue, 2016. "Will a higher free-flow speed lead us to a less congested freeway?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 85(C), pages 17-38.
  64. Byung Chung & Tao Yao & Bo Zhang, 2012. "Dynamic Traffic Assignment under Uncertainty: A Distributional Robust Chance-Constrained Approach," Networks and Spatial Economics, Springer, vol. 12(1), pages 167-181, March.
  65. Gomes, Gabriel C., 2004. "Optimization and Microsimulation of On-ramp Metering for Congested Freeways," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt95k1q411, Institute of Transportation Studies, UC Berkeley.
  66. Han, Ke & Friesz, Terry L. & Yao, Tao, 2013. "A partial differential equation formulation of Vickrey’s bottleneck model, part II: Numerical analysis and computation," Transportation Research Part B: Methodological, Elsevier, vol. 49(C), pages 75-93.
  67. 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.
  68. Yildirimoglu, Mehmet & Geroliminis, Nikolas, 2014. "Approximating dynamic equilibrium conditions with macroscopic fundamental diagrams," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 186-200.
  69. Laval, Jorge A. & Munoz, Juan Carlos, 2002. "System Optimum Diversion of Congested Freeway Traffic," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt8ps30578, Institute of Transportation Studies, UC Berkeley.
  70. Xuedong Yan & Xiaobing Liu & Yulei Song, 2018. "Optimizing evacuation efficiency under emergency with consideration of social fairness based on a cell transmission model," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-21, November.
  71. Chen, Xiaoming & Zhou, Xuesong & List, George F., 2011. "Using time-varying tolls to optimize truck arrivals at ports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 965-982.
  72. Shen, Wei & Zhang, H.M., 2009. "On the morning commute problem in a corridor network with multiple bottlenecks: Its system-optimal traffic flow patterns and the realizing tolling scheme," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 267-284, March.
  73. 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.
  74. H. M. Abdul Aziz & Satish V. Ukkusuri & Xianyuan Zhan, 2017. "Determining the Impact of Personal Mobility Carbon Allowance Schemes in Transportation Networks," Networks and Spatial Economics, Springer, vol. 17(2), pages 505-545, June.
  75. Long, Jiancheng & Wang, Chao & Szeto, W.Y., 2018. "Dynamic system optimum simultaneous route and departure time choice problems: Intersection-movement-based formulations and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 166-206.
  76. Ma, Rui & Ban, Xuegang (Jeff) & Pang, Jong-Shi, 2014. "Continuous-time dynamic system optimum for single-destination traffic networks with queue spillbacks," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 98-122.
  77. S. Waller & David Fajardo & Melissa Duell & Vinayak Dixit, 2013. "Linear Programming Formulation for Strategic Dynamic Traffic Assignment," Networks and Spatial Economics, Springer, vol. 13(4), pages 427-443, December.
  78. Bretschneider, S. & Kimms, A., 2012. "Pattern-based evacuation planning for urban areas," European Journal of Operational Research, Elsevier, vol. 216(1), pages 57-69.
  79. 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.
  80. Horowitz, Roberto & May, Adolf & Skabardonis, Alex & Varaiya, Pravin & Zhang, Michael & Gomes, Gabriel & Munoz, Laura & Sun, Xiaotian & Sun, Dengfeng, 2005. "Design, Field Implementation and Evaluation of Adaptive Ramp Metering Algorithms," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5p06q6k5, Institute of Transportation Studies, UC Berkeley.
  81. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
  82. Yan-Qun Jiang & S.C. Wong & Peng Zhang & Keechoo Choi, 2017. "Dynamic Continuum Model with Elastic Demand for a Polycentric Urban City," Transportation Science, INFORMS, vol. 51(3), pages 931-945, August.
  83. Carey, Malachy & Ge, Y. E., 2003. "Comparing whole-link travel time models," Transportation Research Part B: Methodological, Elsevier, vol. 37(10), pages 905-926, December.
  84. 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.
  85. Yang, Xia & Ban, Xuegang (Jeff) & Mitchell, John, 2018. "Modeling multimodal transportation network emergency evacuation considering evacuees’ cooperative behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 380-397.
  86. Jack Reilly & Samitha Samaranayake & Maria Laura Delle Monache & Walid Krichene & Paola Goatin & Alexandre M. Bayen, 2015. "Adjoint-Based Optimization on a Network of Discretized Scalar Conservation Laws with Applications to Coordinated Ramp Metering," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 733-760, November.
  87. Mohebifard, Rasool & Hajbabaie, Ali, 2019. "Optimal network-level traffic signal control: A benders decomposition-based solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 252-274.
  88. Jin, Hui & Liu, Yue & Wu, Telan & Zhang, Yanpei, 2022. "Site-specific optimization of bus stop locations and designs over a corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
  89. Zhao, Chuan-Lin & Leclercq, Ludovic, 2018. "Graphical solution for system optimum dynamic traffic assignment with day-based incentive routing strategies," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 87-100.
  90. Jian Li & Kaan Ozbay, 2015. "Evacuation Planning with Endogenous Transportation Network Degradations: A Stochastic Cell-Based Model and Solution Procedure," Networks and Spatial Economics, Springer, vol. 15(3), pages 677-696, September.
  91. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.
  92. Karabuk, Suleyman & Manzour, Hasan, 2019. "A multi-stage stochastic program for evacuation management under tornado track uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 124(C), pages 128-151.
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