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Research Article

Analysis of a multiplicative hybrid route choice model in stochastic assignment paradox

ORCID Icon, ORCID Icon, ORCID Icon &
Pages 1544-1568 | Received 19 Feb 2021, Accepted 04 Jul 2021, Published online: 19 Jul 2021

References

  • Acemoglu, D., A. Makhdoumi, A. Malekian, and A. Ozdaglar. 2018. “Informational Braess’ Paradox: The Effect of Information on Traffic Congestion.” Operations Research 66 (4): 893–917.
  • Akamatsu, T. 2000. “A Dynamic Traffic Equilibrium Assignment Paradox.” Transportation Research Part B: Methodological 34 (6): 515–531.
  • Arnott, R., A. De Palma, and R. Lindsey. 1993. “Properties of Dynamic Traffic Equilibrium Involving Bottlenecks, Including A Paradox and Metering.” Transportation Science 27 (2): 148–160.
  • Bagloee, S. A., M. Sarvi, B. Wolshon, and V. Dixit. 2017. “Identifying Critical Disruption Scenarios and A Global Robustness Index Tailored to Real Life Road Networks.” Transportation Research Part E: Logistics and Transportation Review 98: 60–81.
  • Braess, D. 1968. “Über ein Paradoxon aus der Verkehrsplanung.” Unternehmensforschung 12 (1): 258–268.
  • Braess, D., A. Nagurney, and T. Wakolbinger. 2005. “On A Paradox of Traffic Planning.” Transportation Science 39 (4): 446–450.
  • Cantarella, G. E., G. Pavone, and A. Vitetta. 2006. “Heuristics for Urban Road Network Design: Lane Layout and Signal Settings.” European Journal of Operational Research 175 (3): 1682–1695.
  • Cascetta, E., A. Nuzzolo, F. Russo, and A. Vitetta. 1996. “A Modified Logit Route Choice Model Overcoming Path Overlapping Problems. Specification and Some Calibration Results for Interurban Networks.” In Transportation and Traffic Theory. Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France.
  • Castillo, E., J. M. Menéndez, P. Jiménez, and A. Rivas. 2008. “Closed Form Expressions for Choice Probabilities in the Weibull Case.” Transportation Research Part B: Methodological 42 (4): 373–380.
  • Chen, A., H. Lo, and H. Yang. 2001. “A Self-Adaptive Projection and Contraction Algorithm for the Traffic Assignment Problem with Path-Specific Costs.” European Journal of Operational Research 135 (1): 27–41.
  • Chen, A., S. Pravinvongvuth, X. Xu, S. Ryu, and P. Chootinan. 2012. “Examining the Scaling Effect and Overlapping Problem in Logit-Based Stochastic User Equilibrium Models.” Transportation Research Part A: Policy and Practice 46 (8): 1343–1358.
  • Daganzo, C. F., and Y. Sheffi. 1977. “On Stochastic Models of Traffic Assignment.” Transportation Science 11 (3): 253–274.
  • Di, X., X. He, X. Guo, and H. X. Liu. 2014. “Braess Paradox Under the Boundedly Rational User Equilibria.” Transportation Research Part B: Methodological 67: 86–108.
  • Downs, A. 1962. “The law of Peak-Hour Expressway Congestion.” Traffic Quarterly 16 (3): 393–409.
  • Du, M., H. Tan, and A. Chen. 2020. “A Faster Path-Based Algorithm with Barzilai-Borwein Step Size for Solving Stochastic Traffic Equilibrium Models.” European Journal of Operational Research 290: 982–999.
  • Hallefjord, A., K. Jørnsten, and S. Storøy. 1994. “Traffic Equilibrium Paradoxes When Travel Demand is Elastic.” Asia-Pacific Journal of Operations Research 11 (1): 41–50.
  • Han, D., H. K. Lo, J. Sun, and H. Yang. 2008. “The Toll Effect on Price of Anarchy When Costs are Nonlinear and Asymmetric.” European Journal of Operational Research 186 (1): 300–316.
  • Henn, V., and M. Ottomanelli. 2006. “Handling Uncertainty in Route Choice Models: From Probabilistic to Possibilistic Approaches.” European Journal of Operational Research 175 (3): 1526–1538.
  • Hosseininasab, S. M., S. N. Shetab-Boushehri, S. R. Hejazi, and H. Karimi. 2018. “A Multi-Objective Integrated Model for Selecting, Scheduling, and Budgeting Road Construction Projects.” European Journal of Operational Research 271 (1): 262–277.
  • Kitahara, Y., and T. Hayakawa. 2019. “Analysis of Dynamic Traffic Demand on a Paradoxical Phenomenon and Reachability with Input Constraints.” In 2019 SICE International Symposium on Control Systems (SICE ISCS). IEEE, 65–71.
  • Kitthamkesorn, S., and A. Chen. 2014. “Unconstrained Weibit Stochastic User Equilibrium Model with Extensions.” Transportation Research Part B: Methodological 59: 1–21.
  • Lin, W. H., and H. K. Lo. 2009. “Investigating Braess’ Paradox with Time-Dependent Queues.” Transportation Science 43 (1): 117–126.
  • Liu, P., X. Xu, A. Chen, C. Yang, and L. Xiao. 2017. “A Select Link Analysis Method Based on Logit–Weibit Hybrid Model.” Journal of Modern Transportation 25 (4): 205–217.
  • Ma, C., Q. Cai, S. Alam, B. Sridhar, and V. N. Duong. 2019. “Airway Network Management Using Braess’s Paradox.” Transportation Research Part C: Emerging Technologies 105: 565–579.
  • Ma, J., D. Li, L. Cheng, X. Lou, C. Sun, and W. Tang. 2018. “Link Restriction: Methods of Testing and Avoiding Braess Paradox in Networks Considering Traffic Demands.” Journal of Transportation Engineering, Part A: Systems 144 (2): 04017076.
  • McFadden, D. 1978. “Modeling the Choice of Residential Location.” Transportation Research Record 673: 72–77.
  • Nagurney, A. 2000. “Congested Urban Transportation Networks and Emission Paradoxes.” Transportation Research Part D: Transport and Environment 5 (2): 145–151.
  • Perederieieva, O., A. Raith, and M. Schmidt. 2018. “Non-additive Shortest Path in the Context of Traffic Assignment.” European Journal of Operational Research 268: 325–338.
  • Prashker, J. N., and S. Bekhor. 2000. “Some Observations on Stochastic User Equilibrium and System Optimum of Traffic Assignment.” Transportation Research Part B: Methodological 34 (4): 277–291.
  • Ryu, S., A. Chen, and K. Choi. 2017. “Solving the Combined Modal Split and Traffic Assignment Problem with Two Types of Transit Impedance Function.” European Journal of Operational Research 257 (3): 870–880.
  • Sheffi, Y. 1985. Urban Transportation Networks. Englewood Cliffs, NJ: Prentice-Hall.
  • Sheffi, Y., and C. F. Daganzo. 1978. “Another ‘Paradox’ of Traffic Flow.” Transportation Research 12 (1): 43–46.
  • Sun, L., L. Liu, Z. Xu, Y. Jie, D. Wei, and P. Wang. 2015. “Locating Inefficient Links in a Large-Scale Transportation Network.” Physica A: Statistical Mechanics and its Applications 419: 537–545.
  • Szeto, W. Y. 2011. “Cooperative Game Approaches to Measuring Network Reliability Considering Paradoxes.” Transportation Research Part C: Emerging Technologies 19 (2): 229–241.
  • Szeto, W. Y., and Y. Jiang. 2014. “Transit Assignment: Approach-Based Formulation, Extragradient Method, and Paradox.” Transportation Research Part B: Methodological 62: 51–76.
  • Szeto, W. Y., X. Li, and M. O'Mahony. 2008. “Simultaneous Occurrence of the Braess and Emission Paradoxes.” Proceedings of the 6th International Conference on Traffic and Transportation Studies, 625–634.
  • Thomson, J. M. 1977. Great Cities and Their Traffic. London: Victor Gollancz.
  • Transportation Networks for Research Core Team. Transportation Networks for Research. Accessed May 16, 2018. https://github.com/bstabler/TransportationNetworks.
  • Wang, G., Z. Gao, and M. Xu. 2019. “Integrating Link-Based Discrete Credit Charging Scheme into Discrete Network Design Problem.” European Journal of Operational Research 272 (1): 176–187.
  • Wang, Y., and W. Y. Szeto. 2017. “Excessive Noise Paradoxes in Urban Transportation Networks.” Transportmetrica A: Transport Science 13 (3): 195–221.
  • Wang, W. W., D. Z. Wang, F. Zhang, H. Sun, W. Zhang, and J. Wu. 2017. “Overcoming the Downs-Thomson Paradox by Transit Subsidy Policies.” Transportation Research Part A: Policy and Practice 95: 126–147.
  • Wardrop, J. G. 1952. “Some Theoretical Aspects of Road Traffic Research.” Proceedings of the Institution of Civil Engineers 1 (3): 325–362.
  • Xu, M., A. Chen, and Z. Gao. 2008. “An Improved Origin-Based Algorithm for Solving the Combined Distribution and Assignment Problem.” European Journal of Operational Research 188 (2): 354–369.
  • Xu, X., A. Chen, S. Kitthamkesorn, H. Yang, and H. K. Lo. 2015. “Modeling Absolute and Relative Cost Differences in Stochastic User Equilibrium Problem.” Transportation Research Part B: Methodological 81: 686–703.
  • Yang, H. 1997. “Sensitivity Analysis for the Elastic-Demand Network Equilibrium Problem with Applications.” Transportation Research Part B: Methodological 31 (1): 55–70.
  • Yang, H., and M. G. Bell. 1998. “A Capacity Paradox in Network Design and How to Avoid It.” Transportation Research Part A: Policy and Practice 32 (7): 539–545.
  • Yang, C., and A. Chen. 2009. “Sensitivity Analysis of the Combined Travel Demand Model with Applications.” European Journal of Operational Research 198 (3): 909–921.
  • Yao, J., and A. Chen. 2014. “An Analysis of Logit and Weibit Route Choices in Stochastic Assignment Paradox.” Transportation Research Part B: Methodological 69: 31–49.
  • Yao, J., Z. Cheng, J. Dai, A. Chen, and S. An. 2019a. “Traffic Assignment Paradox Incorporating Congestion and Stochastic Perceived Error Simultaneously.” Transportmetrica A: Transport Science 15 (2): 307–325.
  • Yao, J., W. Huang, A. Chen, Z. Cheng, S. An, and G. Xu. 2019b. “Paradox Links can Improve System Efficiency: An Illustration in Traffic Assignment Problem.” Transportation Research Part B: Methodological 129: 35–49.
  • Yao, J., F. Shi, S. An, and J. Wang. 2015. “Evaluation of Exclusive bus Lanes in A bi-Modal Degradable Road Network.” Transportation Research Part C: Emerging Technologies 60: 36–51.
  • Yu, Q., D. Fang, and W. Du. 2014. “Solving the Logit-Based Stochastic User Equilibrium Problem with Elastic Demand Based on the Extended Traffic Network Model.” European Journal of Operational Research 239: 112–118.
  • Zhang, X., W. H. Lam, and H. J. Huang. 2008. “Braess’s Paradoxes in Dynamic Traffic Assignment with Simultaneous Departure Time and Route Choices.” Transportmetrica 4 (3): 209–225.
  • Zhao, C., B. Fu, and T. Wang. 2014. “Braess Paradox and Robustness of Traffic Networks Under Stochastic User Equilibrium.” Transportation Research Part E: Logistics and Transportation Review 61: 135–141.
  • Zhou, Z., A. Chen, and S. Bekhor. 2012. “C-logit Stochastic User Equilibrium Model: Formulations and Solution Algorithm.” Transportmetrica 8 (1): 17–41.
  • Zhou, Z., A. Chen, and S. Wong. 2009. “Alternative Formulations of A Combined Trip Generation, Trip Distribution, Modal Split, and Trip Assignment Model.” European Journal of Operational Research 198: 129–138.
  • Zhou, B., X. Li, and J. He. 2014. “Exploring Trust Region Method for the Solution of Logit-Based Stochastic User Equilibrium Problems.” European Journal of Operational Research 239: 46–57.

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