Bus Network Design and Frequency Setting in the Post-COVID-19 Pandemic: The Case of London
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 149, Issue 4
Abstract
A transit network design frequency setting model is proposed to cope with the postpandemic passenger demand. The multiobjective transit network design and frequency setting problem (TNDFSP) seeks to find optimal routes and their associated frequencies to operate public transport services in an urban area. The objective is to redesign the public transport network to minimize passenger costs without incurring massive changes to its former composition. The proposed TNDFSP model includes a route generation algorithm (RGA) that generates newlines in addition to the existing lines to serve the most demanding trips, and passenger assignment (PA) and frequency setting (FS) mixed-integer programming models that distribute the demand through the modified bus network and set the optimal number of buses for each line. Computational experiments were conducted on a test network and the network comprising the Royal Borough of Kensington and Chelsea in London.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is a result of project DynamiCITY: Fostering Dynamic Adaptation of Smart Cities to Cope with Crises and Disruptions (NORTE-01-0145-FEDER-000073) supported by Norte Portugal Regional Operational Programme (NORTE 2020), under the PORTUGAL 2020 Partnership Agreement, through the European Regional Development Fund (ERDF). Dr. K. Gkiotsalitis was funded by the Dutch Organization for Health Research and Development (ZonMw) under the L4 project “COVID 19 Wetenschap voor de Praktijk” (10430042010018).
References
Afandizadeh, S., H. Khaksar, and N. Kalantari. 2013. “Bus fleet optimization using genetic algorithm a case study of Mashhad.” Int. J. Civ. Eng. 11 (1): 43–52.
Aloi, A., et al. 2020. “Effects of the COVID-19 lockdown on urban mobility: Empirical evidence from the City of Santander (Spain).” Sustainability 12 (9): 3870. https://doi.org/10.3390/su12093870.
Arbex, R. O., and C. B. Cunha. 2015. “Efficient transit network design and frequencies setting multi-objective optimization by alternating objective genetic algorithm.” Transp. Res. Part B Methodol. 81 (Nov): 355–376. https://doi.org/10.1016/j.trb.2015.06.014.
Baaj, M. H., and H. S. Mahmassani. 1995. “Hybrid route generation heuristic algorithm for the design of transit networks.” Transp. Res. Part C Emerging Technol. 3 (1): 31–50. https://doi.org/10.1016/0968-090X(94)00011-S.
Borndörfer, R., M. Grötschel, and M. E. Pfetsch. 2005. A path-based model for line planning in public transport a path-based model for line planning in public transport. Berlin: Konrad-Zuse-Zentrum für Informationstechnik.
Buba, A. T., and L. S. Lee. 2018. “A differential evolution for simultaneous transit network design and frequency setting problem.” Expert Syst. Appl. 106 (Sep): 277–289. https://doi.org/10.1016/j.eswa.2018.04.011.
Bucsky, P. 2020. “Modal share changes due to COVID-19: The case of Budapest.” Transp. Res. Interdiscip. Perspect. 8 (Nov): 100141. https://doi.org/10.1016/j.trip.2020.100141.
Cartenì, A., L. Di Francesco, and M. Martino. 2021. “The role of transport accessibility within the spread of the Coronavirus pandemic in Italy.” Saf. Sci. 133 (Jan): 104999. https://doi.org/10.1016/j.ssci.2020.104999.
Ceder, A., and Y. Israeli. 1998. “User and operator perspectives in transit network design.” Transp. Res. Rec. 1623 (1): 3–7. https://doi.org/10.3141/1623-01.
Chakroborty, P., and T. Wivedi. 2002. “Optimal route network design for transit systems using genetic algorithms.” Eng. Optim. 34 (1): 83–100. https://doi.org/10.1080/03052150210909.
Cui, Q., L. He, Y. Liu, Y. Zheng, W. Wei, B. Yang, and M. Zhou. 2021. “The impacts of COVID-19 pandemic on China’s transport sectors based on the CGE model coupled with a decomposition analysis approach.” Transp. Policy 103 (Mar): 103–115. https://doi.org/10.1016/j.tranpol.2021.01.017.
Dubois, D., G. Bel, and M. Llibre. 1979. “A set of methods in transportation network synthesis and analysis.” J. Oper. Res. Soc. 30 (9): 797–808. https://doi.org/10.1057/jors.1979.190.
Fan, L., C. L. Mumford, and D. Evans. 2009. “A simple multi-objective optimization algorithm for the Urban transit routing problem.” In Proc., 2009 IEEE Congress on Evolutionary Computation, CEC 2009, 1–7. New York: IEEE.
Fan, W., and R. B. Machemehl. 2004. Optimal transit route network design problem: Algorithms, implementations, and numerical results 6. Performing organization code unclassified. Austin, TX: Univ. of Texas at Austin.
Fan, W., and R. B. Machemehl. 2006. “Optimal transit route network design problem with variable transit demand: Genetic algorithm approach.” J. Transp. Eng. 132 (1): 40–51. https://doi.org/10.1061/(ASCE)0733-947X(2006)132:1(40).
Fan, Y., A. Guthrie, and D. Levinson. 2016. “Waiting time perceptions at transit stops and stations: Effects of basic amenities, gender, and security.” Transp. Res. Part A Policy Pract. 88 (Jun): 251–264. https://doi.org/10.1016/j.tra.2016.04.012.
Furth, P. G., and N. H. Wilson. 1981. “Setting frequencies on bus routes: Theory and practice.” Transp. Res. Rec. 818 (1981): 1–7.
Fusco, G., S. Gori, and M. Petrelli. 2002. “A heuristic transit network design algorithm for medium size towns.” In Proc., 13th Mini-Euro Conf. Bari, Italy: Politecnico.
Ghosh, A., S. Nundy, S. Ghosh, and T. K. Mallick. 2020. “Study of COVID-19 pandemic in London (UK) from urban context.” Cities 106 (Jun): 102928. https://doi.org/10.1016/j.cities.2020.102928.
Gkiotsalitis, K. 2021. “A model for modifying the public transport service patterns to account for the imposed COVID-19 capacity.” Transp. Res. Interdiscip. Perspect. 9 (Mar): 100336. https://doi.org/10.1016/j.trip.2021.100336.
Gkiotsalitis, K., and O. Cats. 2021a. “At-stop control measures in public transport: Literature review and research agenda.” Transp. Res. Part E Logist. Transp. Rev. 145 (Jan): 102176. https://doi.org/10.1016/j.tre.2020.102176.
Gkiotsalitis, K., and O. Cats. 2021b. “Optimal frequency setting of metro services in the age of COVID-19 distancing measures.” Transportmetrica A: Transp. Sci. 18 (3): 807–827. https://doi.org/10.1080/23249935.2021.1896593.
Gkiotsalitis, K., and O. Cats. 2021c. “Public transport planning adaption under the COVID-19 pandemic crisis: Literature review of research needs and directions.” Transp. Rev. 41 (3): 374–392. https://doi.org/10.1080/01441647.2020.1857886.
Gkiotsalitis, K., Z. Wu, and O. Cats. 2019. “A cost-minimization model for bus fleet allocation featuring the tactical generation of short-turning and interlining options.” Transp. Res. Part C Emerging Technol. 98 (Jan): 14–36. https://doi.org/10.1016/j.trc.2018.11.007.
Guihaire, V., and J. K. Hao. 2008. “Transit network design and scheduling: A global review.” Transp. Res. Part A Policy Pract. 42 (10): 1251–1273. https://doi.org/10.1016/j.tra.2008.03.011.
Hasselstrom, D. 1982. Public transportation planning: A mathematical programming approach. Olney, UK: Bumpus, Haldane and Maxwell Limited.
Ibarra-Rojas, O. J., F. Delgado, R. Giesen, and J. C. Muñoz. 2015. “Planning, operation, and control of bus transport systems: A literature review.” Transp. Res. Part B Methodol. 77 (Jul): 38–75. https://doi.org/10.1016/j.trb.2015.03.002.
Ibarra-Rojas, O. J., R. Giesen, and Y. A. Rios-Solis. 2014. “An integrated approach for timetabling and vehicle scheduling problems to analyze the trade-off between level of service and operating costs of transit networks.” Transp. Res. Part B Methodol. 70 (Dec): 35–46. https://doi.org/10.1016/j.trb.2014.08.010.
Jha, S. B., J. K. Jha, and M. K. Tiwari. 2019. “A multi-objective meta-heuristic approach for transit network design and frequency setting problem in a bus transit system.” Comput. Ind. Eng. 130 (Apr): 166–186. https://doi.org/10.1016/j.cie.2019.02.025.
Lampkin, W., and P. D. Saalmans. 1967. “The design of routes, service frequencies, and schedules for a municipal bus undertaking: A case study.” J. Oper. Res. Soc. 18 (4): 375–397. https://doi.org/10.1057/jors.1967.70.
Lee, Y.-J., and V. R. Vuchic. 2005. “Transit network design with variable demand.” J. Transp. Eng. 131 (1): 1–10. https://doi.org/10.1061/(ASCE)0733-947X(2005)131:1(1).
Liu, T., O. Cats, and K. Gkiotsalitis. 2021. “A review of public transport transfer coordination at the tactical planning phase.” Transp. Res. Part C Emerging Technol. 133 (Dec): 103450. https://doi.org/10.1016/j.trc.2021.103450.
López-Ramos, F., E. Codina, Á. Marín, and A. Guarnaschelli. 2017. “Integrated approach to network design and frequency setting problem in railway rapid transit systems.” Comput. Oper. Res. 80 (Apr): 128–146. https://doi.org/10.1016/j.cor.2016.12.006.
Lüthi, M., U. Weidmann, and A. Nash. 2007. “Passenger arrival rates at public transport stations.” In Proc., TRB 86th Annual Meeting Compendium of Papers. Washington, DC: Transportation Research Board.
Mandl, C. E. 1980. “Evaluation and optimization of urban public transportation networks.” Eur. J. Oper. Res. 5 (6): 396–404. https://doi.org/10.1016/0377-2217(80)90126-5.
Meng, M., A. Rau, and H. Mahardhika. 2018. “Public transport travel time perception: Effects of socioeconomic characteristics, trip characteristics and facility usage.” Transp. Res. Part A Policy Pract. 114 (Aug): 24–37. https://doi.org/10.1016/j.tra.2018.01.015.
Ngamchai, S., and D. J. Lovell. 2003. “Optimal time transfer in bus transit route network design using a genetic algorithm.” J. Transp. Eng. 129 (5): 510–521. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:5(510).
Nikolić, M., and D. Teodorović. 2014. “A simultaneous transit network design and frequency setting: Computing with bees.” Expert Syst. Appl. 41 (16): 7200–7209. https://doi.org/10.1016/j.eswa.2014.05.034.
Pattnaik, S. B., S. Mohan, and V. M. Tom. 1998. “Urban bus transit route network design using genetic algorithm.” J. Transp. Eng. 124 (4): 368–375. https://doi.org/10.1061/(ASCE)0733-947X(1998)124:4(368).
Pel, A. J., N. H. Bel, and M. Pieters. 2014. “Including passengers’ response to crowding in the Dutch national train passenger assignment model.” Transp. Res. Part A Policy Pract. 66 (1): 111–126.
Przybylowski, A., S. Stelmak, and M. Suchanek. 2021. “Mobility behaviour in view of the impact of the COVID-19 pandemic—Public transport users in Gdansk case study.” Sustainability 13 (1): 364. https://doi.org/10.3390/su13010364.
Ratho, A., and P. Johns. 2020. Rethinking cities in a post-covid-19 world. New Delhi, India: ORF and Global Policy Journal.
Schöbel, A. 2012. “Line planning in public transportation: Models and methods.” OR Spectr. 34 (3): 491–510. https://doi.org/10.1007/s00291-011-0251-6.
Silman, L. A., Z. Barzily, and U. Passy. 1974. “Planning the route system for urban buses.” Comput. Oper. Res. 1 (2): 201–211. https://doi.org/10.1016/0305-0548(74)90046-X.
Spiess, H., and M. Florian. 1989. “Optimal strategies: A new assignment model for transit networks.” Transp. Res. Part B 23 (2): 83–102. https://doi.org/10.1016/0191-2615(89)90034-9.
Stradling, S., M. Carreno, T. Rye, and A. Noble. 2007. “Passenger perceptions and the ideal urban bus journey experience.” Transp. Policy 14 (4): 283–292. https://doi.org/10.1016/j.tranpol.2007.02.003.
Szeto, W. Y., and Y. Jiang. 2014. “Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach.” Transp. Res. Part B Methodol. 67 (Sep): 235–263. https://doi.org/10.1016/j.trb.2014.05.008.
Szeto, W. Y., and Y. Wu. 2011. “A simultaneous bus route design and frequency setting problem for Tin Shui Wai, Hong Kong.” Eur. J. Oper. Res. 209 (2): 141–155. https://doi.org/10.1016/j.ejor.2010.08.020.
TfL (Transport for London). 2020a. “All London buses now taking payments as capacity limits are safely increased.” Accessed July 13, 2020. https://tfl.gov.uk/info-for/media/press-releases/2020/july/all-london-buses-now-taking-payments-as-capacity-limits-are-safely-increased.
TfL (Transport for London). 2020b. Annual report and statement of accounts 2019/20. London: TfL.
Tirachini, A., and O. Cats. 2020. “COVID-19 and public transportation: Current assessment, prospects, and research needs.” J. Public Transp. 22 (1): 1–21. https://doi.org/10.5038/2375-0901.22.1.1.
Tom, V. M., and S. Mohan. 2003. “Transit route network design using frequency coded genetic algorithm.” J. Transp. Eng. 129 (2): 186–195. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:2(186).
UITP (International Association of Public Transport). 2020a. Knowledge brief. Brussels, Belgium: UITP.
UITP (International Association of Public Transport). 2020b. Public transport authorities and COVID-19 impact and response to a pandemic. Brussels, Belgium: UITP.
Wan, Q. K., and H. K. Lo. 2003. “A mixed integer formulation for multiple-route transit network design.” J. Math. Modell. Algorithms 2 (Dec): 299–308. https://doi.org/10.1023/B:JMMA.0000020425.99217.cd.
Watkins, K. E., B. Ferris, A. Borning, G. S. Rutherford, and D. Layton. 2011. “Where is my bus? Impact of mobile real-time information on the perceived and actual wait time of transit riders.” Transp. Res. Part A Policy Pract. 45 (8): 839–848. https://doi.org/10.1016/j.tra.2011.06.010.
Wielechowski, M., K. Czech, and Ł. Grzȩda. 2020. “Decline in mobility: Public transport in Poland in the time of the COVID-19 pandemic.” Economies 8 (4): 78. https://doi.org/10.3390/economies8040078.
Yap, M., O. Cats, and B. van Arem. 2020. “Crowding valuation in urban tram and bus transportation based on smart card data.” Transportmetrica A: Transp. Sci. 16 (1): 23–42. https://doi.org/10.1080/23249935.2018.1537319.
Zhao, F. 2006. “Large-scale transit network optimization by minimizing user cost and transfers.” J. Public Transp. 9 (2): 107–129. https://doi.org/10.5038/2375-0901.9.2.6.
Zhao, F., and A. Gan. 2003. Optimization of transit network to minimize transfers, 153. Gainesville, FL: Lehman Center for Transport Research, Florida Univ.
Zhao, F., and X. Zeng. 2007. “Optimization of user and operator cost for large-scale transit network.” J. Transp. Eng. 133 (4): 240–251. https://doi.org/10.1061/(ASCE)0733-947X(2007)133:4(240).
Zhao, H., W. Xu, and R. Jiang. 2015. “The Memetic algorithm for the optimization of urban transit network.” Expert Syst. Appl. 42 (7): 3760–3773. https://doi.org/10.1016/j.eswa.2014.11.056.
Zhou, P., et al. 2020. “A pneumonia outbreak associated with a new coronavirus of probable bat origin.” Nature 579 (7798): 270–273. https://doi.org/10.1038/s41586-020-2012-7.
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Received: Dec 6, 2021
Accepted: Nov 14, 2022
Published online: Feb 13, 2023
Published in print: Apr 1, 2023
Discussion open until: Jul 13, 2023
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- Junjun Li, Hao Dong, Xuedong Zhao, Hao Tang, Aimin Yin, Ruchen Xue, A transit network design and frequency setting model with graph neural network and deep reinforcement learning, Sixth International Conference on Computer Information Science and Application Technology (CISAT 2023), 10.1117/12.3003828, (40), (2023).