References
- Alfa, A. S., and M. Y. Chen. 1995. “Temporal Distribution of Public Transport Demand During the Peak Period.” European Journal of Operational Research 83 (1): 137–153.
- Arnott, R., A. de Palma, and R. Lindsey. 1990. “Economics of a Bottleneck.” Journal of Urban Economics 27 (1): 111–130.
- Braid, R. M. 1989. “Uniform Versus Peak-Load Pricing of a Bottleneck with Elastic Demand.” Journal of Urban Economics 26 (3): 320–327.
- Chien, I. J. Y., and C. F. M. Tsai. 2007. “Optimization of Fare Structure and Service Frequency for Maximum Profitability of Transit Systems.” Transportation Planning & Technology 30 (5): 477–500.
- Currie, G. 2010. “Quick and Effective Solution to Rail Overcrowding: Free Early Bird Ticket Experience in Melbourne, Australia.” Transportation Research Record: Journal of the Transportation Research Board 2146: 35–42.
- Daskin, M. S., J. L. Schofer, and A. E. Haghani. 1988. “A Quadratic Programming Model for Designing and Evaluating Distance-Based and Zone Fares for Urban Transit.” Transportation Research Part B: Methodological 22 (1): 25–44.
- De Palma, A., M. Kilani, and S. Proost. 2015. “Discomfort in Mass Transit and its Implication for Scheduling and Pricing.” Transportation Research Part B: Methodological 71: 1–18.
- De Palma, A., and R. Lindsey. 2001. “Optimal Timetables for Public Transportation.” Transportation Research Part B: Methodological 35 (8): 789–813.
- De Palma, A., R. Lindsey, and G. Monchambert. 2017. “The Economics of Crowding in Rail Transit.” Journal of Urban Economics 101: 106–122.
- Douglas, N. J., L. Henn, and K. Sloan. 2011. Modelling the Ability of Fare to Spread AM Peak Passenger Loads Using Rooftops. Adelaide, SA: Australasian Transport Research Forum.
- Fleishman, D., N. Shaw, A. Joshi, R. Freeze, and R. Oram. 1996. “TCRP Report 10: Fare Policies, Structures, and Technologies.” TRB, National Research Council, Washington, D.C.
- Glaister, S., and D. Lewis. 1978. “An Integrated Fares Policy for Transport in London.” Journal of Public Economics 9 (3): 341–355.
- Hensher, D. 1998. “Establishing a Fare Elasticity Regime for Urban Passenger Transport.” Journal of Transport Economics and Policy 32 (2): 221–246.
- Huang, H. J. 2000. “Fares and Tolls in a Competitive System with Transit and Highway: The Case with two Groups of Commuters.” Transportation Research Part E: Logistics and Transportation Review 36: 267–284.
- Huang, H. J. 2002. “Pricing and Logit-Based Mode Choice Models of a Transit and Highway System with Elastic Demand.” European Journal of Operational Research 140 (3): 562–570.
- Huang, D., Z. Liu, P. Liu, and J. Chen. 2016. “Optimal Transit Fare and Service Frequency of a Nonlinear Origin-Destination Based Fare Structure.” Transportation Research Part E: Logistics and Transportation Review 96: 1–19.
- Huang, H. J., Q. Tian, and Z. Y. Gao. 2005. “An Equilibrium Model in Urban Transit Riding and Fare Polices.” Algorithmic Applications in Management 3521: 112–121.
- Kraus, M., and Y. Yoshida. 2002. “The Commuter’s Time-of-use Decision and Optimal Pricing and Service in Urban Mass Transit.” Journal of Urban Economics 51 (1): 170–195.
- 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: Methodological 33 (5): 351–368.
- Lam, W. H. K., and J. Zhou. 2000. “Optimal Fare Structure for Transit Networks with Elastic Demand.” Transportation Research Record 1733: 8–14.
- Lan, L. W., H. Lee, and C. Wen. 2010. “Effects of Temporally Differential Fares on Taipei Metro Riders’ Mode and Time-of-day Choices.” International Journal of Transport Economics 37 (1): 97–118.
- Laporte, G., F. A. Ortega, M. A. Pozo, and J. Puerto. 2017. “Multi-objective Integration of Timetables, Vehicle Schedules and User Routings in a Transit Network.” Transportation Research Part B: Methodological 98: 94–112.
- Li, Z. C., W. H. K. Lam, and S. C. Wong. 2009. “The Optimal Transit Fare Structure Under Different Market Regimes with Uncertainty in the Network.” Networks and Spatial Economics 9 (2): 191–216.
- Li, Z. C., W. H. K. Lam, S. C. Wong, and A. Sumalee. 2010. “An Activity-Based Approach for Scheduling Multimodal Transit Services.” Transportation 37 (5): 751–774.
- Ling, J. H. 1998. “Transit Fare Differentials: A Theoretical Analysis.” Journal of Advanced Transportation 32 (3): 297–314.
- Sumalee, A., and W. Xu. 2011. “First-best Marginal Cost Toll for a Traffic Network with Stochastic Demand.” Transportation Research Part B: Methodological 45 (1): 41–59.
- Sumi, T., Y. Matsumoto, and Y. Miyaki. 1990. “Departure Time and Route Choice of Commuters on Mass Transit Systems.” Transportation Research Part B: Methodological 24 (4): 247–262.
- Sun, S., and W. Y. Szeto. 2019. “Optimal Sectional Fare and Frequency Settings for Transit Networks with Elastic Demand.” Transportation Research Part B: Methodological 127: 147–177.
- Tabuchi, T. 1993. “Bottleneck Congestion and Modal Split.” Journal of Urban Economics 34: 414–431.
- Tang, Y., H. Yang, B. Wang, J. Huang, and Y. Bai. 2020. ““A Pareto-Improving and Revenue-Neutral Scheme to Manage Mass Transit Congestion with Heterogeneous Commuters.” Transportation Research Part C: Emerging Technologies 113: 245–259.
- Tian, Q., H. J. Huang, and H. Yang. 2007. “Equilibrium Properties of the Morning Peak-Period Commuting in a Many-to-one Mass Transit System.” Transportation Research Part B: Methodological 41 (6): 616–631.
- Tirachini, A., D. A. Hensher, and J. M. Rose. 2013. “Crowding in Public Transport Systems: Effects on Users, Operation and Implications for the Estimation of Demand.” Transportation Research Part A: Policy and Practice 53: 36–52.
- Tsai, F. M., S. Chien, and L. Spasovic. 2008. “Optimizing Distance-Based Fares and Headway of an Intercity Transportation System with Elastic Demand and Trip Length Differentiation.” Transportation Research Record: Journal of the Transportation Research Board 2089: 101–109.
- Tsai, F. M., S. Chien, and C. H. Wei. 2013. “Joint Optimization of Temporal Headway and Differential Fare for Transit Systems Considering Heterogeneous Demand Elasticity.” Journal of Transportation Engineering 139 (1): 30–39.
- Tseng, Y. Y., and E. T. Verhoef. 2008. “Value of Time by Time of day: A Stated-Preference Study.” Transportation Research Part B: Methodological 42 (7–8): 607–618.
- 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.
- Whelan, G., and D. Johnson. 2004. “Modelling the Impact of Alternative Fare Structures on Train Overcrowding.” International Journal of Transport Management 2 (1): 51–58.
- Yang, H., and H. J. Huang. 2005. “Mathematical and Economic Theory of Road Pricing. Oxford: Elsevier.
- Yang, H., and Y. Tang. 2018. “Managing Rail Transit Peak-Hour Congestion with a Fare-Reward Scheme.” Transportation Research Part B: Methodological 110: 122–136.
- Yoshida, Y. 2008. “Commuter Arrivals and Optimal Service in Mass Transit: Does Queuing Behavior at Transit Stops Matter?” Regional Science and Urban Economics 38 (3): 228–251.