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A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints

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  1. 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.
  2. Jia Shu & Haiqing Heng, 2016. "The probability of the existence of a feasible flow in a stochastic transportation network," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(6), pages 479-491, September.
  3. 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.
  4. Yu Nie & H. Zhang, 2010. "A Relaxation Approach for Estimating Origin–Destination Trip Tables," Networks and Spatial Economics, Springer, vol. 10(1), pages 147-172, March.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Patriksson, Michael, 2008. "On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 843-860, December.
  10. 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.
  11. 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.
  12. Sohn, Keemin, 2011. "Multi-objective optimization of a road diet network design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(6), pages 499-511, July.
  13. Enrique Fernández L., J. & de Cea Ch., Joaquin & Malbran, R. Henry, 2008. "Demand responsive urban public transport system design: Methodology and application," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(7), pages 951-972, August.
  14. Lam, William H.K. & Li, Zhi-Chun & Huang, Hai-Jun & Wong, S.C., 2006. "Modeling time-dependent travel choice problems in road networks with multiple user classes and multiple parking facilities," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 368-395, June.
  15. 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.
  16. Poorzahedy, Hossain & Rouhani, Omid M., 2007. "Hybrid meta-heuristic algorithms for solving network design problem," European Journal of Operational Research, Elsevier, vol. 182(2), pages 578-596, October.
  17. Ouassim Manout & Patrick Bonnel & François Pacull, 2021. "Spatial Aggregation Issues in Traffic Assignment Models," Networks and Spatial Economics, Springer, vol. 21(1), pages 1-29, March.
  18. 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.
  19. Marin, Angel & Salmeron, Javier, 1996. "Tactical design of rail freight networks. Part I: Exact and heuristic methods," European Journal of Operational Research, Elsevier, vol. 90(1), pages 26-44, April.
  20. 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.
  21. Lo, Hong K. & Chen, Anthony, 2000. "Traffic equilibrium problem with route-specific costs: formulation and algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 493-513, August.
  22. Hosseininasab, Seyyed-Mohammadreza & Shetab-Boushehri, Seyyed-Nader & Hejazi, Seyed Reza & Karimi, Hadi, 2018. "A multi-objective integrated model for selecting, scheduling, and budgeting road construction projects," European Journal of Operational Research, Elsevier, vol. 271(1), pages 262-277.
  23. 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.
  24. Bastiaan Possel & Luc J. J. Wismans & Eric C. Berkum & Michiel C. J. Bliemer, 2018. "The multi-objective network design problem using minimizing externalities as objectives: comparison of a genetic algorithm and simulated annealing framework," Transportation, Springer, vol. 45(2), pages 545-572, March.
  25. 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.
  26. 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.
  27. Xiang Zhang & S. Travis Waller, 2019. "Implications of link-based equity objectives on transportation network design problem," Transportation, Springer, vol. 46(5), pages 1559-1589, October.
  28. 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.
  29. 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.
  30. 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).
  31. 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.
  32. 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.
  33. 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.
  34. Jose Moura & Angel Ibeas & Luigi dell’Olio, 2010. "Optimization–Simulation Model for Planning Supply Transport to Large Infrastructure Public Works Located in Congested Urban Areas," Networks and Spatial Economics, Springer, vol. 10(4), pages 487-507, December.
  35. Chu, James C. & Chen, Yin-Jay, 2012. "Optimal threshold-based network-level transportation infrastructure life-cycle management with heterogeneous maintenance actions," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1123-1143.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. Friesz, Terry L. & Shah, Samir, 2001. "An overview of nontraditional formulations of static and dynamic equilibrium network design," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 5-21, January.
  41. Byung Kim & Wonkyu Kim & Byung Song, 2008. "Sequencing and scheduling highway network expansion using a discrete network design model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 42(3), pages 621-642, September.
  42. 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.
  43. 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.
  44. 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).
  45. 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.
  46. 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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