Abstract
Today urban road network of a modern city can include several subnets. Indeed, bus lanes form a transit subnet available only for public vehicles. Toll roads form a subnet, available only for drivers who ready to pay fees for passage. The common aim of developing such subnets is to provide better urban travel conditions for public vehicles and toll-paying drivers. The present paper is devoted to the travel demand estimation problem in a multi-subnet urban road network. We formulate this problem as a bi-level optimization program and prove that it has a unique solution under quite a natural assumption. Moreover, for the simple case of a road network topology with disjoint routes, we obtain important analytical results that allow us to analyze different scenarios appearing within the travel demand estimation process in a multi-subnet urban road network. The findings of the paper contribute to the traffic theory and give fresh managerial insights for traffic engineers.
The work was jointly supported by a grant from the Russian Science Foundation (No. 20-71-00062 Development of artificial intelligence tools for estimation travel demand values between intersections in urban road networks in order to support operation of intelligent transportation systems).
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References
Bagloee, S., Ceder, A.: Transit-network design methodology for actual-size road networks. Transp. Res. Part B 45, 1787–1804 (2011)
Bar-Gera, H.: Primal method for determining the most likely route flows in large road network. Transp. Sci. 40(3), 269–286 (2006)
Bazaraa, M., Sherali, H., Shetty, C.: Nonlinear Programming: Theory and Algorithms, 2nd edn. Wiley, New York (1993)
Bell, M., Shield, C., Busch, F., Kruse, C.: A stochastic user equilibrium path flow estimator. Transp. Res. Part C 5(3), 197–210 (1997)
Bierlaire, M.: The total demand scale: a new measure of quality for static and dynamic origin-destination trip tables. Transp. Res. Part B 36, 837–850 (2002)
Fisk, C.: On combining maximum entropy trip matrix estimation with user optimal assignment. Transp. Res. Part B 22(1), 69–73 (1988)
Frederix, R., Viti, F., Tampere, C.: Dynamic origin-destination estimation in congested networks: theoretical findings and implications in practice. Transp. A Transp. Sci. 9(6), 494–513 (2013)
Hernandez, M., Valencia, L., Solis, Y.: Penalization and augmented Lagrangian for O-D demand matrix estimation from transit segment counts. Transp. A Transp. Sci. 15(2), 915–943 (2019)
Heydecker, B., Lam, W., Zhang, N.: Use of travel demand satisfaction to assess road network reliability. Transportmetrica 3(2), 139–171 (2007)
Kitamura, R., Susilo, Y.: Is travel demand instable? A study of changes in structural relationships underlying travel. Transportmetrica 1(1), 23–45 (2005)
Krylatov, A., Raevskaya, A., Zakharov, V.: Travel demand estimation in urban road networks as inverse traffic assignment problem. Transp. Telecommun. 22(2), 287–300 (2021)
Krylatov, A., Zakharov, V.: Competitive traffic assignment in a green transit network. Int. Game Theory Rev. 18(2), 1640003 (2016)
Krylatov, A., Zakharov, V., Tuovinen, T.: Optimal transit network design. In: Optimization Models and Methods for Equilibrium Traffic Assignment. STTT, vol. 15, pp. 141–176. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-34102-2_7
Krylatov, A., Zakharov, V., Tuovinen, T.: Principles of wardrop for traffic assignment in a road network. In: Optimization Models and Methods for Equilibrium Traffic Assignment. STTT, vol. 15, pp. 17–43. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-34102-2_2
Lampkin, W., Saalmans, P.: The design of routes, service frequencies and schedules for a municipal bus undertaking: a case study. Oper. Res. Q. 18, 375–397 (1967)
Lundgren, J., Peterson, A.: A heuristic for the bilevel origin-destination matrix estimation problem. Transp. Res. Part B 42, 339–354 (2008)
Nguyen, S.: Estimating an OD matrix from network data: a network equilibrium approach. Publication 60, Centre de Recherche sur les Transports, Universitet de Motreal
Patriksson, M.: The Traffic Assignment Problem: Models and Methods. VSP, Utrecht (1994)
Sheffi, Y.: Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall Inc., Englewood Cliffs (1985)
Shen, W., Wynter, L.: A new one-level convex optimization approach for estimating origin-destination demand. Transp. Res. Part B 46, 1535–1555 (2012)
Sun, G., Bin, S.: Router-level internet topology evolution model based on multi-subnet composited complex network model. J. Internet Technol. 18(6), 1275–1283 (2017)
Wardrop, J.G.: Some theoretical aspects of road traffic research. In: Proceedings of the Institution of Civil Engineers, vol. 2, pp. 325–378 (1952)
Wei, C., Asakura, Y.: A Bayesian approach to traffic estimation in stochastic user equilibrium networks. Transp. Res. Part C 36, 446–459 (2013)
Xie, F., Levinson, D.: Modeling the growth of transportation networks: a comprehensive review. Netw. Spat. Econ. 9, 291–307 (2009)
Yang, H., An, S.: Robustness evaluation for multi-subnet composited complex network of urban public transport. Alex. Eng. J. 60, 2065–2074 (2021)
Yang, H., Sasaki, T., Iida, Y., Asakura, Y.: Estimation of origin-destination matrices from link traffic counts on congested networks. Transp. Res. Part B 26(6), 417–434 (1992)
Zakharov, V.V., Krylatov, A.Y.: Transit network design for green vehicles routing. Adv. Intell. Syst. Comput. 360, 449–458 (2015)
Zakharov, V., Krylatov, A., Ivanov, D.: Equilibrium traffic flow assignment in case of two navigation providers. In: Camarinha-Matos, L.M., Scherer, R.J. (eds.) PRO-VE 2013. IAICT, vol. 408, pp. 156–163. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-40543-3_17
Zhao, F., Zeng, X.: Optimization of transit route network, vehicle headways, and timetables for large-scale transit networks. Eur. J. Oper. Res. 186, 841–855 (2008)
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Krylatov, A., Raevskaya, A. (2021). Travel Demand Estimation in a Multi-subnet Urban Road Network. In: Simos, D.E., Pardalos, P.M., Kotsireas, I.S. (eds) Learning and Intelligent Optimization. LION 2021. Lecture Notes in Computer Science(), vol 12931. Springer, Cham. https://doi.org/10.1007/978-3-030-92121-7_16
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