Reliability-based equitable transit frequency design

References

• Ben-Elia, E., and I. Benenson. 2019. “A Spatially-Explicit Method for Analysing the Equity of Transit Commuters’ Accessibility.” Transportation Research Part A 120: 31–42.
   Google Scholar
• Bielli, M., M. Caramia, and P. Carotenuto. 2002. “Genetic Algorithms in Bus Network Optimisation.” Transportation Research Part C 10 (1): 19–34.
   Google Scholar
• Bocarejo, J. P., and H. D. R. Oviedo. 2012. “Transport Accessibility and Social Inequities: A Tool for Identification of Mobility Needs and Evaluation of Transport Investments.” Journal of Transport Geography 24: 142–154.
   Google Scholar
• Camporeale, R., L. Caggiani, A. Fonzone, and M. Ottomanelli. 2016. “Better for Everyone: An Approach to Multi-Modal Network Design Considering Equity.” Transportation Research Procedia 19: 303–315.
   Google Scholar
• Camporeale, R., L. Caggiani, and M. Ottomanelli. 2019. Transportation Research Part A 125: 184–206.
   Google Scholar
• Carleton, P. R., and J. D. Porter. 2018. “A Comparative Analysis of the Challenges in Measuring Transit Equity: Definitions, Interpretations, and Limitations.” Journal of Transport Geography 72: 64–75.
   Google Scholar
• Cats, O., and J. West. 2020. “Learning and Adaptation in Dynamic Transit Assignment Models for Congested Networks.” Transportation Research Record 2674 (1): 113–124.
   Google Scholar
• Cats, O., J. West, and J. Eliasson. 2016. “A Dynamic Stochastic Model for Evaluating Congestion and Crowding Effects in Transit Systems.” Transportation Research Part B 89: 43–57.
   Google Scholar
• Ceder, A. 2016. Public Transit Planning and Operation: Modeling, Practice and Behavior. 2nd ed. Boca Raton, USA: CRC Press.
   Google Scholar
• Ceder, A. A., and Y. Jiang. 2019. “Personalized Public Transport Mobility Service: A Journey Ranking Approach for Route Guidance.” ISTTT23, Transportation Research Procedia 38: 935–955.
   Google Scholar
• Ceder, A. A., and Y. Jiang. 2020. “Route Guidance Ranking Procedures with Human Perception Consideration for Personalized Public Transport Service.” Transportation Research Part C 118: 102667.
   Google Scholar
• Chakroborty, P. 2003. “Genetic Algorithms for Optimal Urban Transit Network Design.” Computer-Aided Civil and Infrastructure Engineering 18 (3): 184–200.
   Google Scholar
• Chakroborty, P., and T. Wivedi. 2002. “Optimal Route Network Design for Transit Systems Using Genetic Algorithms.” Engineering Optimisation 34 (1): 83–100.
   Google Scholar
• Chen, P. W., and Y. M. Nie. 2015. “Optimal Transit Routing with Partial Online Information.” Transportation Research Part B 72: 40–58.
   Google Scholar
• Chen, B. Y., Y. Wang, D. Wang, and W. H. K. Lam. 2019. “Understanding Travel Time Uncertainty Impacts on the Equity of Individual Accessibility.” Transport Research Part D 75: 156–169.
   Google Scholar
• Chen, A., and C. Yang. 2004. “Stochastic Transportation Network Design Problem with Spatial Equity Constraint.” Transportation Research Record 1882: 97–104.
   Google Scholar
• Cominetti, R., and J. Correa. 2001. “Common-lines and Passenger Assignment in Congested Transit Networks.” Transportation Science 35 (3): 250–267.
   Google Scholar
• Cortés, C. E., P. Jara-Moroni, E. Moreno, and C. Pineda. 2013. “Stochastic Transit Equilibrium.” Transportation Research Part B 51: 29–44.
   Google Scholar
• de Cea, J., and E. Fernández. 1993. “Transit Assignment for Congested Public Transport Systems: An Equilibrium Model.” Transportation Science 27 (2): 133–147.
   Google Scholar
• Delbosc, A., and G. Currie. 2011. “Using Lorenz Curves to Assess Public Transport Equity.” Journal of Transport Geography 19 (6): 1252–1259.
   Google Scholar
• El-Geneidy, A., D. Levinson, E. Diab, G. Boisjoly, D. Verbich, and C. Loong. 2016. “The Cost of Equity: Assessing Transit Accessibility and Social Disparity Using Total Travel Cost.” Transportation Research Part A 91: 302–316.
   Google Scholar
• Fan, W., and R. B. Machemehl. 2006. “Using a Simulated Annealing Algorithm to Solve the Transit Route Network Design Problem.” Journal of Transportation Engineering 132 (2): 122–132.
   Google Scholar
• Fan, W., and R. B. Machemehl. 2008. “Tabu Search Strategies for the Public Transportation Network Optimisations with Variable Transit Demand.” Computer-Aided Civil and Infrastructure Engineering 23 (7): 502–520.
   Google Scholar
• Fan, W., and R. B. Machemehl. 2011. “Bi-level Optimisation Model for Public Transportation Network Redesign Problem: Accounting for Equity Issues.” Transportation Research Record 2263 (1): 151–162.
   Google Scholar
• Fan, L., and C. L. Mumford. 2010. “A Metaheuristic Approach to the Urban Transit Routing Problem.” Journal of Heuristics 16 (3): 353–372.
   Google Scholar
• Feldman, A., and A. Kirman. 1974. “Fairness and Envy.” The American Economic Review 64 (6): 995–1005.
   Google Scholar
• Ferguson, E. M., J. Duthie, A. Unnikrishnan, and S. T. Waller. 2012. “Incorporating Equity into the Transit Frequency-Setting Problem.” Transportation Research Part A 46 (1): 190–199.
   Google Scholar
• Foth, N., K. Manaugh, and A. M. El-Geneidy. 2013. “Towards Equitable Transit: Examining Transit Accessibility and Social Need in Toronto, Canada, 1996–2006.” Journal of Transport Geography 29: 1–10.
   Google Scholar
• Gentile, G., M. Florian, Y. Hamdouch, O. Cats, and A. Nuzzolo. 2016. “The Theory of Transit Assignment: Basic Modelling Frameworks.” In Modelling Public Transport Passenger Flows in the Era of Intelligent Transport Systems, 287–386. Cham: Springer.
   Google Scholar
• Gentile, G., S. Nguyen, and S. Pallottino. 2005. “Route Choice on Transit Networks with Online Information at Stops.” Transportation Science 39 (3): 289–297.
   Google Scholar
• Gori, S., L. Mannini, and M. Petrelli. 2020. “Equity Measures for the Identification of Public Transport Needs.” Case Studies on Transport Policy 8 (3): 745–757.
   Google Scholar
• Guihaire, V., and J. K. Hao. 2008. “Transit Network Design and Scheduling: A Global Review.” Transportation Research Part A 42 (10): 1251–1273.
   Google Scholar
• Hamdouch, Y., and S. Lawphongpanich. 2008. “Schedule-based Transit Assignment Model with Travel Strategies and Capacity Constraints.” Transportation Research Part B 42 (7-8): 663–684.
   Google Scholar
• Hamdouch, Y., P. Marcotte, and S. Nguyen. 2004. “Capacitated Transit Assignment with Loading Priorities.” Mathematical Programming 101 (1): 205–230.
   Google Scholar
• Hamdouch, Y., W. Y. Szeto, and Y. Jiang. 2014. “A new Schedule-Based Transit Assignment Model with Travel Strategies and Supply Uncertainties.” Transportation Research Part B 67: 35–67.
   Google Scholar
• Jiang, Y., and A. Ceder. 2021. “Incorporating Personalization and Bounded Rationality into Stochastic Transit Assignment Model.” Transportation Research Part C, forthcoming.
   Google Scholar
• Jiang, Y., and W. Y. Szeto. 2015. “Time-Dependent Transportation Network Design That Considers Health Cost.” Transportmetrica A: Transport Science 11 (1): 74–101.
   Google Scholar
• Jiang, Y., and W. Y. Szeto. 2016. “Reliability-Based Stochastic Transit Assignment: Formulations and Capacity Paradox.” Transportation Research Part B 93: 181–206.
   Google Scholar
• Jiang, Y., and W. Y. Szeto. 2016. “Reliability-based stochastic transit assignment: Formulations and capacity paradox.” Transportation Research Part B: Methodological 93: 181–206.
   Google Scholar
• Kaplan, S., D. Popoks, C. G. Prato, and A. Ceder. 2014. “Using Connectivity for Measuring Equity in Transit Provision.” Journal of Transport Geography 37: 82–92.
   Google Scholar
• Karaboga, D. 2005. An Idea Based on Honey Bee Swarm for Numerical Optimisation [Technical Report-TR06]. Erciyes University, Engineering Faculty, Computer Engineering Department.
   Google Scholar
• Karsu, Ö, and A. Morton. 2015. “Inequity Averse Optimisation in Operational Research.” European Journal of Operational Research 245: 343–359.
   Google Scholar
• Kim, M., S. Y. Kho, and D. K. Kim. 2019. “A Transit Route Network Design Problem Considering Equity.” Sustainability 11 (13): 3527.
   Google Scholar
• Lam, W. H. K., Z. Y. Gao, K. S. Chan, and H. Yang. 1999. “A Stochastic User Equilibrium Assignment Model for Congested Transit Networks.” Transportation Research Part B 33 (5): 351–368.
   Google Scholar
• Lam, W. H., H. Shao, and A. Sumalee. 2008. “Modeling Impacts of Adverse Weather Conditions on a Road Network with Uncertainties in Demand and Supply.” Transportation Research Part B 42 (10): 890–910.
   Google Scholar
• Lam, W. H. K., J. Zhou, and Z. H. Sheng. 2002. “A Capacity Restraint Transit Assignment with Elastic Line Frequency.” Transportation Research Part B 36 (10): 919–938.
   Google Scholar
• Leurent, F. 2012. “On Seat Capacity in Traffic Assignment to a Transit Network.” Journal of Advanced Transportation 46 (2): 112–138.
   Google Scholar
• Li, Q., P. W. Chen, and Y. M. Nie. 2015. “Finding Optimal Hyperpaths in Large Transit Networks with Realistic Headway Distributions.” European Journal of Operational Research 240 (1): 98–108.
   Google Scholar
• Li, Z. C., W. H. Lam, and A. Sumalee. 2008. “Modeling Impact of Transit Operator Fleet Size Under Various Market Regimes with Uncertainty in Network.” Transportation Research Record 2063 (1): 18–27.
   Google Scholar
• Lo, H. K., X. W. Luo, and B. W. Siu. 2006. “Degradable Transport Network: Travel Time Budget of Travelers with Heterogeneous Risk Aversion.” Transportation Research Part B 40 (9): 792–806.
   Google Scholar
• Long, J., W. Y. Szeto, and H. J. Huang. 2014. “A Bi-Objective Turning Restriction Design Problem in Urban Road Networks.” European Journal of Operational Research 237 (2): 426–439.
   Google Scholar
• Lucas, K., B. van Wee, and K. Maat. 2016. “A Method to Evaluate Equitable Accessibility: Combining Ethical Theories and Accessibility-Based Approaches.” Transportation 43: 473–490.
   Google Scholar
• Manaugh, K., M. G. Badami, and A. M. El-Geneidy. 2015. “Integrating Social Equity into Urban Transportation Planning: A Critical Evaluation of Equity Objectives and Measures in Transportation Plans in North America.” Transport Policy 37: 167–176.
   Google Scholar
• Martens, K., A. Golub, and G. Robinson. 2012. “A Justice-Theoretic Approach to the Distribution of Transportation Benefits: Implications for Transportation Planning Practice in the United States.” Transportation Research Part A 46 (4): 684–695.
   Google Scholar
• Meng, Q., and H. Yang. 2002. “Benefit Distribution and Equity in Road Network Design.” Transportation Research Part B 36 (1): 19–35.
   Google Scholar
• Mollanejad, M., and L. Zhang. 2014. “Incorporating Spatial Equity into Interurban Road Network Design.” Journal of Transport Geography 39: 156–164.
   Google Scholar
• Nagurney, A. 1993. Network Economics: A Variational Inequality Approach. Norwell, MA, USA: Kluwer Academic Publishers.
   Google Scholar
• Nguyen, S., and S. Pallottino. 1988. “Equilibrium Traffic Assignment for Large Scale Transit Networks.” European Journal of Operational Research 37 (2): 176–186.
   Google Scholar
• Nielsen, O. A. 2000. “A Stochastic Transit Assignment Model Considering Differences in Passengers Utility Functions.” Transportation Research Part B 34 (5): 377–402.
   Google Scholar
• Nuzzolo, A., U. Crisalli, and L. Rosati. 2012. “A Schedule-Based Assignment Model with Explicit Capacity Constraints for Congested Transit Networks.” Transportation Research Part C 20 (1): 16–33.
   Google Scholar
• Nuzzolo, A., F. Russo, and U. Crisalli. 2001. “A Doubly Dynamic Schedule-Based Assignment Model for Transit Networks.” Transportation Science 35 (3): 268–285.
   Google Scholar
• Oliker, N., and S. Bekhor. 2018. “A Frequency Based Transit Assignment Model that Considers Online Information.” Transportation Research Part C 88: 17–30.
   Google Scholar
• Oliker, N., and S. Bekhor. 2020. “A Frequency Based Transit Assignment Model that Considers Online Information and Strict Capacity Constraints.” EURO Journal on Transportation and Logistics 9 (1): 100005.
   Google Scholar
• Pereira, R. H. M., T. Schwanen, and D. Banister. 2016. “Distributive Justice and Equity in Transportation.” Transport Review 37: 170–191.
   Google Scholar
• Poon, M. H., S. C. Wong, and C. O. Tong. 2004. “A Dynamic Schedule-Based Model for Congested Transit Networks.” Transportation Research Part B 38 (4): 343–368.
   Google Scholar
• Ruiz, M., J. M. Segui-Pons, and J. Mateu-LLadó. 2017. “Improving Bus Service Levels and Social Equity Through Bus Frequency Modelling.” Journal of Transport Geography 58: 220–233.
   Google Scholar
• Sen, A. 1973. On Economic Inequality. Oxford University Press. https://econpapers.repec.org/bookchap/oxpobooks/9780198281931.htm
   Google Scholar
• Shao, H., W. H. Lam, M. L. Tam, and X. M. Yuan. 2008. “Modelling Rain Effects on Risk-Taking Behaviours of Multi-User Classes in Road Networks with Uncertainty.” Journal of Advanced Transportation 42 (3): 265–290.
   Google Scholar
• Siu, B. W., and H. K. Lo. 2008. “Doubly Uncertain Transportation Network: Degradable Capacity and Stochastic Demand.” European Journal of Operational Research 191 (1): 166–181.
   Google Scholar
• Song, Y., H. Kim, K. Lee, and K. Ahn. 2018. “Subway Network Expansion and Transit Equity: A Case Study of Gwangju Metropolitan Area, South Korea.” Transport Policy 72: 148–158.
   Google Scholar
• Sun, L., Q. Meng, and Z. Liu. 2013. “Transit Assignment Model Incorporating Bus Dwell Time.” Transportation Research Record 2352 (1): 76–83.
   Google Scholar
• Sun, S., and W. Y. Szeto. 2018. “Logit-based Transit Assignment: Approach-Based Formulation and Paradox Revisit.” Transportation Research Part B 112: 191–215.
   Google Scholar
• Sun, S., and W. Y. Szeto. 2019. “Optimal Sectional Fare and Frequency Settings for Transit Networks with Elastic Demand.” Transportation Research Part B 127: 147–177.
   Google Scholar
• Szeto, W. Y., X. Jaber, and M. O’Mahony. 2010. “Time-Dependent Discrete Network Design Frameworks Considering Land Use.” Computer-Aided Civil and Infrastructure Engineering 25 (6): 411–426.
   Google Scholar
• Szeto, W. Y., and Y. Jiang. 2012. “Hybrid Artificial bee Colony Algorithm for Transit Network Design.” Transportation Research Record 2284 (1): 47–56.
   Google Scholar
• Szeto, W. Y., and Y. Jiang. 2014. “Transit Route and Frequency Design: Bi-Level Modeling and Hybrid Artificial Bee Colony Algorithm Approach.” Transportation Research Part B 67: 235–263.
   Google Scholar
• Szeto, W. Y., Y. Jiang, D. Z. W. Wang, and A. Sumalee. 2015. “A Sustainable Road Network Design Problem with Land Use Transportation Interaction Over Time.” Networks and Spatial Economics 15 (3): 791–822.
   Google Scholar
• Szeto, W. Y., Y. Jiang, K. I. Wong, and M. Solayappan. 2013. “Reliability-Based Stochastic Transit Assignment with Capacity Constraints: Formulation and Solution Method.” Transportation Research Part C 35: 286–304.
   Google Scholar
• Szeto, W. Y., and H. K. Lo. 2006. “Transportation Network Improvement and Tolling Strategies: The Issue of Intergeneration Equity.” Transportation Research Part A 40 (3): 227–243.
   Google Scholar
• Szeto, W. Y., M. Solayappan, and Y. Jiang. 2011a. “Reliability-Based Transit Assignment for Congested Stochastic Transit Networks.” Computer-Aided Civil and Infrastructure Engineering 26 (4): 311–326.
   Google Scholar
• Szeto, W. Y., Y. Wu, and S. C. Ho. 2011b. “An Artificial Bee Colony Algorithm for the Capacitated Vehicle Routing Problem.” European Journal of Operational Research 215 (1): 126–135.
   Google Scholar
• Teklu, F. 2008. “A Stochastic Process Approach for Frequency-Based Transit Assignment with Strict Capacity Constraints.” Networks and Spatial Economics 8 (2): 225–240.
   Google Scholar
• Tom, V. M., and S. Mohan. 2003. “Transit Route Network Design Using Frequency Coded Genetic Algorithm.” Journal of Transportation Engineering 129 (2): 186–195.
   Google Scholar
• Tong, C. O., and S. C. Wong. 1999. “A Stochastic Transit Assignment Model Using a Dynamic Schedule-Based Network.” Transportation Research Part B 33 (2): 107–121.
   Google Scholar
• Unnikrishnan, A., V. Valsaraj, I. Damnjanovic, and S. T. Waller. 2009. “Design and Management Strategies for Mixed Public Private Transportation Networks: A Meta-Heuristic Approach.” Computer-Aided Civil and Infrastructure Engineering 24 (4): 266–279.
   Google Scholar
• van Wee, B., and S. Roeser. 2013. “Ethical Theories and the Cost-Benefit Analysis-Based Ex Ante Evaluation of Transport Policies and Plans.” Transport Review 33: 743–760.
   Google Scholar
• Wang, S., and X. Qu. 2017. “Station Choice for Australian Commuter Rail Lines: Equilibrium and Optimal Fare Design.” European Journal of Operational Research 258 (1): 144–154.
   Google Scholar
• Wang, S., W. Zhang, and X. Qu. 2018. “Trial-and-Error Train Fare Design Scheme for Addressing Boarding/Alighting Congestion at CBD Stations.” Transportation Research Part B 118: 318–335.
   Google Scholar
• Wei, Y., J. G. Jin, J. Yang, and L. Lu. 2019. “Strategic Network Expansion of Urban Rapid Transit Systems: A Bi-Objective Programming Model.” Computer-Aided Civil and Infrastructure Engineering 34 (5): 431–443.
   Google Scholar
• Wei, R., X. Liu, Y. Mu, L. Wang, A. Golub, and S. Farber. 2017. “Evaluating Public Transit Services for Operational Efficiency and Access Equity.” Journal of Transport Geography 65: 70–79.
   Google Scholar
• Welch, T. F., and S. Mishra. 2013. “A Measure of Equity for Public Transit Connectivity.” Journal of Transport Geography 33: 29–41.
   Google Scholar
• Wilson, N. H., and A. Nuzzolo, Eds. 2013. Schedule-based Dynamic Transit Modeling: Theory and Applications (Vol. 28). Springer Science & Business Media.
   Google Scholar
• Wu, J. H., M. Florian, and P. Marcotte. 1994. “Transit Equilibrium Assignment: A Model and Solution Algorithms.” Transportation Science 28 (3): 193–203.
   Google Scholar
• Xie, J., S. Zhan, S. C. Wong, and S. M. Lo. 2021. “A Schedule-Based Timetable Model for Congested Transit Networks.” Transportation Research Part C 124: 102925.
   Google Scholar
• Xu, X., A. Chen, and C. Yang. 2016. “A Review of Sustainable Network Design for Road Networks.” KSCE Journal of Civil Engineering 20 (3): 1084.
   Google Scholar
• Xu, Z., J. Xie, X. Liu, and Y. M. Nie. 2020. “Hyperpath-Based Algorithms for the Transit Equilibrium Assignment Problem.” Transportation Research Part E 143: 102102.
   Google Scholar
• Yang, H., and X. Zhang. 2002. “Multiclass Network Toll Design Problem with Social and Spatial Equity Constraints.” Journal of Transportation Engineering 128 (5): 420–428.
   Google Scholar
• Zhan, S., S. C. Wong, and S. M. Lo. 2020. “Social Equity-Based Timetabling and Ticket Pricing for High-Speed Railways.” Transportation Research Part A 137: 165–186.
   Google Scholar
• Zhao, F., and X. Zeng. 2006. “Simulated Annealing–Genetic Algorithm for Transit Network Optimisation.” Journal of Computing in Civil Engineering 20 (1): 57–68.
   Google Scholar
• Zhao, H., C. Zhang, Z. Gao, and B. Si. 2013. “Risk-based Transit Schedule Design for a Fixed Route from the View of Equity.” Journal of Transportation Engineering 139 (11): 1086–1094.
   Google Scholar