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A model for estimating the optimal cycle length of demand responsive feeder transit services

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  • Chandra, Shailesh
  • Quadrifoglio, Luca

Abstract

The general lack of first/last mile connectivity is one of the main challenges faced by today’s public transit. One of the possible actions towards a solution to this problem is the planning, design and implementation of efficient feeder transit services. This paper develops an analytical model which allows for an easy computation of near optimal terminal-to-terminal cycle length of a demand responsive feeder service to maximize service quality provided to customers, defined as the inverse of a weighted sum of waiting and riding times. The model estimates the recommended cycle length by only plugging in geometrical parameters and demand data, without relying on extensive simulation analyses or rule of thumbs. Simulation experiments and comparisons with real services validate our model, which would allow planners, decision makers and practitioners to quickly identify the best feeder transit operating design of any given residential area.

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  • Chandra, Shailesh & Quadrifoglio, Luca, 2013. "A model for estimating the optimal cycle length of demand responsive feeder transit services," Transportation Research Part B: Methodological, Elsevier, vol. 51(C), pages 1-16.
    • Handle: RePEc:eee:transb:v:51:y:2013:i:c:p:1-16
    DOI: 10.1016/j.trb.2013.01.008
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    as
    1. Zhao, Fang & Zeng, Xiaogang, 2008. "Optimization of transit route network, vehicle headways and timetables for large-scale transit networks," European Journal of Operational Research, Elsevier, vol. 186(2), pages 841-855, April.
    2. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 14(2), pages 130-154, May.
    3. Luca Quadrifoglio & Randolph W. Hall & Maged M. Dessouky, 2006. "Performance and Design of Mobility Allowance Shuttle Transit Services: Bounds on the Maximum Longitudinal Velocity," Transportation Science, INFORMS, vol. 40(3), pages 351-363, August.
    4. Quadrifoglio, Luca & Dessouky, Maged M. & Ordóñez, Fernando, 2008. "A simulation study of demand responsive transit system design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(4), pages 718-737, May.
    5. John M. Gleason & Darold T. Barnum, 1982. "Toward Valid Measures of Public Sector Productivity: Performance Measures in Urban Transit," Management Science, INFORMS, vol. 28(4), pages 379-386, April.
    6. Badami, Madhav G. & Haider, Murtaza, 2007. "An analysis of public bus transit performance in Indian cities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(10), pages 961-981, December.
    7. Ann Melissa Campbell & Martin Savelsbergh, 2004. "Efficient Insertion Heuristics for Vehicle Routing and Scheduling Problems," Transportation Science, INFORMS, vol. 38(3), pages 369-378, August.
    8. Quadrifoglio, Luca & Li, Xiugang, 2009. "A methodology to derive the critical demand density for designing and operating feeder transit services," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 922-935, December.
    9. Gérard C. Clarens & V. F. Hurdle, 1975. "An Operating Strategy for a Commuter Bus System," Transportation Science, INFORMS, vol. 9(1), pages 1-20, February.
    10. Wardman, Mark, 2004. "Public transport values of time," Transport Policy, Elsevier, vol. 11(4), pages 363-377, October.
    11. Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
    12. Cayford, Randall & Yim, Y. B. Youngbin, 2004. "Personalized Demand-Responsive Transit Service," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt29j111ts, Institute of Transportation Studies, UC Berkeley.
    13. Jaw, Jang-Jei & Odoni, Amedeo R. & Psaraftis, Harilaos N. & Wilson, Nigel H. M., 1986. "A heuristic algorithm for the multi-vehicle advance request dial-a-ride problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 20(3), pages 243-257, June.
    14. Shailesh Chandra & Chung-Wei Shen & Luca Quadrifoglio, 2011. "A Simulation Study to Derive the Optimal Cycle Length for Feeder Transit Services," International Journal of Information Systems in the Service Sector (IJISSS), IGI Global, vol. 3(3), pages 27-46, July.
    15. Edward Ignall & Peter Kolesar, 1974. "Optimal Dispatching of an Infinite-Capacity Shuttle: Control at a Single Terminal," Operations Research, INFORMS, vol. 22(5), pages 1008-1024, October.
    16. Ahouissoussi, Nicolas B. C. & Wetzstein, Michael E., 1998. "A comparative cost analysis of biodiesel, compressed natural gas, methanol, and diesel for transit bus systems," Resource and Energy Economics, Elsevier, vol. 20(1), pages 1-15, March.
    17. Patrick Jaillet, 1988. "A Priori Solution of a Traveling Salesman Problem in Which a Random Subset of the Customers Are Visited," Operations Research, INFORMS, vol. 36(6), pages 929-936, December.
    18. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    19. Aldaihani, Majid M. & Quadrifoglio, Luca & Dessouky, Maged M. & Hall, Randolph, 2004. "Network design for a grid hybrid transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(7), pages 511-530, August.
    20. Diana, Marco & Dessouky, Maged M. & Xia, Nan, 2006. "A model for the fleet sizing of demand responsive transportation services with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 651-666, September.
    21. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.
    22. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
    23. M. W. P. Savelsbergh & M. Sol, 1995. "The General Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 29(1), pages 17-29, February.
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    9. Kim, Myungseob (Edward) & Schonfeld, Paul, 2015. "Maximizing net benefits for conventional and flexible bus services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 80(C), pages 116-133.
    10. Sayarshad, Hamid R. & Chow, Joseph Y.J., 2015. "A scalable non-myopic dynamic dial-a-ride and pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 539-554.
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    16. Anastasios Charisis & Christina Iliopoulou & Konstantinos Kepaptsoglou, 2018. "DRT route design for the first/last mile problem: model and application to Athens, Greece," Public Transport, Springer, vol. 10(3), pages 499-527, December.
    17. Rick Grahn & Sean Qian & Chris Hendrickson, 2023. "Optimizing first- and last-mile public transit services leveraging transportation network companies (TNC)," Transportation, Springer, vol. 50(5), pages 2049-2076, October.
    18. Nicole Ronald & Russell Thompson & Stephan Winter, 2015. "Simulating Demand-responsive Transportation: A Review of Agent-based Approaches," Transport Reviews, Taylor & Francis Journals, vol. 35(4), pages 404-421, July.
    19. Shixiong Jiang & Wei Guan & Liu Yang & Wenyi Zhang, 2020. "Feeder Bus Accessibility Modeling and Evaluation," Sustainability, MDPI, vol. 12(21), pages 1-17, October.
    20. Xin Li & Wanying Liu & Jingyuan Qiao & Yanhao Li & Jia Hu, 2023. "An Enhanced Semi-Flexible Transit Service with Introducing Meeting Points," Networks and Spatial Economics, Springer, vol. 23(3), pages 487-527, September.
    21. Di Huang & Weiping Tong & Lumeng Wang & Xun Yang, 2019. "An Analytical Model for the Many-to-One Demand Responsive Transit Systems," Sustainability, MDPI, vol. 12(1), pages 1-17, December.
    22. Ansari Esfeh, Mohammad & Saidi, Saeid & Wirasinghe, S.C. & Kattan, Lina, 2022. "Waiting time and headway modeling considering unreliability in transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 155(C), pages 219-233.
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    25. G. Dikas & I. Minis, 2018. "Scheduled Paratransit Transport Enhanced by Accessible Taxis," Transportation Science, INFORMS, vol. 52(5), pages 1122-1140, October.

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