The Bicycle Network Improvement Problem
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 148, Issue 11
Abstract
Using a bicycle for commuting is still uncommon in US cities, although it brings many benefits to both the cyclists and to society as a whole. Cycling has the potential to reduce traffic congestion and emissions, increase mobility, and improve public health. To convince people to commute by bike, the infrastructure plays an important role because safety is one of the primary concerns of potential cyclists. This paper presents a method to find the best way to improve the safety of a bicycle network for a given budget and maximize the number of riders that could now choose bicycles for their commuting needs. This optimization problem is formalized as the bicycle network improvement problem (BNIP): it selects which roads to improve for a set of traveler origin–destination pairs, taking both safety and travel distance into account. The BNIP is modeled as a mixed-integer linear program (MIP) that minimizes a piecewise linear penalty function of route deviations of travelers. The MIP is solved using Benders decomposition to scale to large instances. The paper also presents an in-depth case study for the Midtown area in Atlanta, GA, using actual transportation data. The results show that Benders decomposition algorithm allows for solving realistic problem instances and that the network improvements may significantly increase the share of bicycles as the commuting mode. Multiple practical aspects are considered as well, including sequential road improvements, uneven improvement costs, and how to include additional data.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available in a repository or online in accordance with funder data retention policies (Atlanta Regional Commission 2017).
Acknowledgments
This research is partly supported by NSF Leap HI proposal NSF-1854684.
References
Atlanta Regional Commission. 2017. “Activity based modeling.” Accessed March 6, 2020. https://atlantaregional.org/transportation-mobility/modeling/modeling/.
Atlanta Regional Commission. 2020. “Bike-pedestrian plan: Walk, bike, thrive!” Accessed December 5, 2020. https://atlantaregional.org/plans-reports/bike-pedestrian-plan-walk-bike-thrive/.
Bao, J., T. He, S. Ruan, Y. Li, and Y. Zheng. 2017. “Planning bike lanes based on sharing-bikes’ trajectories.” In Proc., 23rd ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 1377–1386. New York: Association for Computing Machinery.
Benders, J. F. 1962. “Partitioning procedures for solving mixed-variables programming problems.” Numerische Mathematik 4 (1): 238–252. https://doi.org/10.1007/BF01386316.
Bottoms, K. L. 2018. “City of Atlanta 2018 annual bicycle report.” Accessed December 10, 2020. https://www.atlantaga.gov/home/showdocument?id=40599.
Bryant, M. 2020. “Cycling ‘explosion’: Coronavirus fuels surge in US bike ridership.” Accessed December 8, 2020. https://www.theguardian.com/us-news/2020/may/13/coronavirus-cycling-bikes-american-boom.
Cervero, R., S. Denman, and Y. Jin. 2019. “Network design, built and natural environments, and bicycle commuting: Evidence from British cities and towns.” Transp. Policy 74 (Feb): 153–164. https://doi.org/10.1016/j.tranpol.2018.09.007.
CIVITAS Initiative. 2020. “Smart choices for cities: Cycling in the city.” Accessed December 10, 2020. https://ec.europa.eu/transport/sites/transport/files/cycling-guidance/smart_choices_for_the_city_cycling_in_the_city_0.pdf.
Croxton, K. L., B. Gendron, and T. L. Magnanti. 2003. “A comparison of mixed-integer programming models for nonconvex piecewise linear cost minimization problems.” Manage. Sci. 49 (9): 1268–1273. https://doi.org/10.1287/mnsc.49.9.1268.16570.
Dill, J., and T. Carr. 2003. “Bicycle commuting and facilities in major U.S. cities: If you build them, commuters will use them.” Transp. Res. Rec. 1828 (1): 116–123. https://doi.org/10.3141/1828-14.
Dill, J., and N. McNeil. 2016. “Revisiting the four types of cyclists: Findings from a national survey.” Transp. Res. Rec. 2587 (1): 90–99. https://doi.org/10.3141/2587-11.
Duthie, J., and A. Unnikrishnan. 2014. “Optimization framework for bicycle network design.” J. Transp. Eng. 140 (7): 04014028. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000690.
Gadsby, A., M. Hagenzieker, and K. Watkins. 2021. “An international comparison of the self-reported causes of cyclist stress using quasi-naturalistic cycling.” J. Transp. Geogr. 91 (Feb): 102932. https://doi.org/10.1016/j.jtrangeo.2020.102932.
Gössling, S. 2020. “Integrating e-scooters in urban transportation: Problems, policies, and the prospect of system change.” Transp. Res. Part D Transp. Environ. 79 (Feb): 102230. https://doi.org/10.1016/j.trd.2020.102230.
Handy, S., B. van Wee, and M. Kroesen. 2014. “Promoting cycling for transport: Research needs and challenges.” Transp. Rev. 34 (1): 4–24. https://doi.org/10.1080/01441647.2013.860204.
Heinen, E., B. van Wee, and K. Maat. 2010. “Commuting by bicycle: An overview of the literature.” Transp. Rev. 30 (1): 59–96. https://doi.org/10.1080/01441640903187001.
Hsu, T.-P., and Y. T. Lin. 2011. “A model for planning a bicycle network with multi-criteria suitability evaluation using GIS.” WIT Trans. Ecol. Environ. 148 (Oct): 243–252. https://doi.org/10.2495/rav110231.
Hull, A., and C. O’Holleran. 2014. “Bicycle infrastructure: Can good design encourage cycling?” Urban Plann. Transp. Res. 2 (1): 369–406. https://doi.org/10.1080/21650020.2014.955210.
Kelley, J. E., Jr. 1960. “The cutting-plane method for solving convex programs.” J. Soc. Ind. Appl. Math. 8 (4): 703–712. https://doi.org/10.1137/0108053.
Kleinbaum, D. G., and M. Klein. 2010. Logistic regression. New York: Springer.
Kroesen, M. 2017. “To what extent do e-bikes substitute travel by other modes? Evidence from the Netherlands.” Transp. Res. Part D Transp. Environ. 53 (Jun): 377–387. https://doi.org/10.1016/j.trd.2017.04.036.
Lanzendorf, M., and A. Busch-Geertsema. 2014. “The cycling boom in large German cities—Empirical evidence for successful cycling campaigns.” Transp. Policy 36 (Nov): 26–33. https://doi.org/10.1016/j.tranpol.2014.07.003.
Lin, J.-J., and R.-Y. Liao. 2016. “Sustainability SI: Bikeway network design model for recreational bicycling in scenic areas.” Networks Spatial Econ. 16 (1): 9–31. https://doi.org/10.1007/s11067-014-9245-7.
Lin, J.-J., and C.-J. Yu. 2013. “A bikeway network design model for urban areas.” Transportation 40 (1): 45–68. https://doi.org/10.1007/s11116-012-9409-6.
Liu, S., Z.-J. M. Shen, and X. Ji. 2020. “Urban bike lane planning with bike trajectories: Models, algorithms, and a real-world case study.” Preprint, submitted August 21, 2020. https://arxiv.org/abs/2008.09645.
Magnanti, T. L., and R. T. Wong. 1981. “Accelerating benders decomposition: Algorithmic enhancement and model selection criteria.” Oper. Res. 29 (3): 464–484. https://doi.org/10.1287/opre.29.3.464.
Mauttone, A., G. Mercadante, M. Rabaza, and F. Toledo. 2017. “Bicycle network design: Model and solution algorithm.” Transp. Res. Procedia 27 (Jan): 969–976. https://doi.org/10.1016/j.trpro.2017.12.119.
McDaniel, D., and M. Devine. 1977. “A modified Benders’ partitioning algorithm for mixed integer programming.” Manage. Sci. 24 (3): 312–319. https://doi.org/10.1287/mnsc.24.3.312.
Midtown Alliance. 2019. “2019 midtown community survey.” Accessed December 5, 2020. https://www.midtownatl.com/about/programs-and-projects/2019survey.
Northrop, K. 2011. “Bicycle commuter trends in the US—Graphic representation.” Accessed December 8, 2020. https://www.webikeeugene.org/2011/03/07/bicycle-commuter-trends-in-the-us-graphic-representation/.
Ogilvie, D., M. Egan, V. Hamilton, and M. Petticrew. 2004. “Promoting walking and cycling as an alternative to using cars: Systematic review.” BMJ 329 (7469): 763. https://doi.org/10.1136/bmj.38216.714560.55.
OpenStreetMap. 2020. “Planet dump.” Accessed March 21, 2020. https://planet.osm.org.
Orozco, L. G. N., F. Battiston, G. Iniguez, and M. Szell. 2020. “Data-driven strategies for optimal bicycle network growth.” R. Soc. 7 (12): 201130. https://doi.org/10.1098/rsos.201130.
Ospina, J. P., V. Botero-Fernandez, J. C. Duque, M. Brussel, and A. Grigolon. 2020. “Understanding cycling travel distance: The case of Medellin city (Colombia).” Transp. Res. Part D Transp. Environ. 86 (Sep): 102423. https://doi.org/10.1016/j.trd.2020.102423.
Reed, T. 2019. “Global traffic scorecard.” Accessed December 10, 2020. https://trid.trb.org/view/1456836.
Ryu, S., A. Chen, J. Su, and K. Choi. 2018. “Two-stage bicycle traffic assignment model.” J. Transp. Eng. Part A Syst. 144 (2): 04017079. https://doi.org/10.1061/JTEPBS.0000108.
Saelens, B. E., J. F. Sallis, and L. D. Frank. 2003. “Environmental correlates of walking and cycling: Findings from the transportation, urban design, and planning literatures.” Ann. Behav. Med. 25 (2): 80–91. https://doi.org/10.1207/S15324796ABM2502_03.
Walljasper, J. 2016. “10 ways bicycle-friendly streets are good for people who don’t ride bikes.” Accessed December 8, 2020. https://www.aarp.org/livable-communities/getting-around/info-2016/why-bicycling-infrastructure-is-good-for-people-who-dont-ride-bikes.html.
Wang, Y., M. Douglas, and B. Hazen. 2021. “Diffusion of public bicycle systems: Investigating influences of users’ perceived risk and switching intention.” Transp. Res. Part A Policy Pract. 143 (Jan): 1–13. https://doi.org/10.1016/j.tra.2020.11.002.
Yang, L., S. Sahlqvist, A. McMinn, S. J. Griffin, and D. Ogilvie. 2010. “Interventions to promote cycling: Systematic review.” BMJ 341 (Oct): c5293. https://doi.org/10.1136/bmj.c5293.
Zhao, X., X. Yan, and P. Van Hentenryck. 2019. “Modeling heterogeneity in mode-switching behavior under a mobility-on-demand transit system: An interpretable machine learning approach.” Preprint, submitted February 8, 2019. https://arxiv.org/abs/1902.02904.
Zhu, S., and F. Zhu. 2020. “Multi-objective bike-way network design problem with space-time accessibility constraint.” Transportation 47 (5): 2479–2503. https://doi.org/10.1007/s11116-019-10025-7.
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Received: Aug 3, 2021
Accepted: Jun 7, 2022
Published online: Sep 2, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 2, 2023
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