Citation: Proceedings of the 2020 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 21, pages 327–336 (2020)
Abstract. A bi-level modeling for traffic lights optimization is presented. The bi-level modeling allows increasing the set of control influences, the number of constraints and applies two goal functions in hierarchical order. The bi-level formalism allows integration of small optimization problems in hierarchical order to a complex interconnected and complicated optimization problem. These features have been applied for optimal control of traffic lights in urban network. The bi-level problem formulation allows to minimize the queue lengths of vehicles and to maximize the outgoing flows from arterial direction. Both control influences of the green light durations and time cycles are evaluated as optimal bi-level control influences.
- B. Park and J. D. Schneeberger, Evaluation of Traffic Signal Timing Optimization Methods Using a Stochastic and Microscopic Simulation Program, Virginia Transportation Research Council, 2003.
- W. H. Kraft, W. S. Homburger, and J. L. Pline, Traffic Engineering Handbook, Washington USA, Institute of Transportation Engineers, 2009.
- P. Koonce, L. Rodegerdts, K. Lee, S. Quayle, S. Beaird, C. Braud, J. Bonneson, P. Tarnoff, and T. Urbanik, Traffic Signal Timing Manual. Washington: Federal Highway Administration, 2008.
- K. Han, Y. Sun, H. Liu, T. L. Friesz, and T. Yao, “A bi-level model of dynamic traffic signal control with continuum approximation,” Transportation Research Part C, vol.55, pp. 409-431, 2015, http://www.sciencedirect.com/science/article/pii/S0968090X15001266, https://www.academia.edu/12549962/A_bi-level_model_of_dynamic_traffic_signal_control_with_continuum_approximation
- L. Li, D. Wen, and D. Yao, “A survey of traffic control with vehicular communications,” IEEE Transactions on Intelligent Transportation Systems, vol.15, no 1, pp. 425-432, 2014,. http://dx.doi.org/10.1109/TITS.2013.2277737 https://www.researchgate.net/publication/260720276_A_Survey_of_Traffic_Control_With_Vehicular_Communications
- R. P. Roess, E. S. Prassas, and W. R. McShane, Traffic Engineering, 5th ed. Hoboken, NJ Pearson Education, 2019, ISBN-10:0-13-459971-3, ISBN-13:978-0-13-459971-7, https://www.pearsonhighered.com/assets/preface/0/1/3/4/0134599713.pdf
- H. Wei, G. Zheng, V. Gayah, and Z. Li, A survey on traffic signal control methods. Cornell University, 2020, https://arxiv.org/pdf/1904.08117.pdf,
- M. Papageorgiou, C. Diakaki, V. Dinopoulou, A. Kotsialos, and Y. Wang, Review of road traffic control strategies, in Proc. IEEE 91, 12, pp. 2043–2067, 2003.
- E. Eriskin, S. Karahancer, S. Terzi, and M. Saltan, Optimization of traffic signal timing at oversaturated intersections using elimination pairing system. 10th International Scientific Conference Transbaltica, Transportation Science and Technology, Procedia Engineering 187, pp. 295 – 300, 2017, http://dx.doi.org/10.1016/j.proeng.2017.04.378 , https://www.sciencedirect.com/science/article/pii/S1877705817319082
- Y. Wang , X. Yang, H. Liang , and Y. Liu, “A Review of the Self-Adaptive Traffic Signal Control System Based on Future Traffic Environment,” J. of Advanced Transportation, vol. 2018, Article ID 1096123, 12 pages, https://doi.org/10.1155/2018/1096123
- T. Tettamanti, I. Varga, and T. Peni, “MPC in urban traffic management,” Model predictive control, Ed.T. Zheng, IntechOpen, 2010 http://dx.doi.org/10.5772/9922. Available from: https://www.intechopen.com/books/model-predictive-control/mpc-in-urban-traffic-management
- K. Aboudolas, M. Papageorgiou, and E. Kosmatopoulos, “Store-and-forward based methods for the signal control problem in large-scale congested urban road networks,” Transportation Research Part C, vol.1, pp. 163–174, 2009, http://dx.doi.org/10.1016/j.trc.2008.10.002
- R. Scheffle and M. Strehler, “Optimizing Traffic Signal Settings for Public Transport Priority,” 17th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS), 2017. G. D’Angelo and T. Dollevoet; Eds, Article No. 9; pp. 9:1–9:15, http://dx.doi.org/10.4230/OASIcs.ATMOS.2017.9
- V. Ivanov, “Monitoring of urban road transport,”.Proc. of Intern conf Аutomatics and Informatics, 2017, pp. 135-141, ISSN:1313-1850.
- K. N. Hewage and J. Y. Ruwanpura, „Optimization of traffic signal light timing using simulation”, in Proc. 2004 Winter Simulation Conference, R. G. Ingalls, M. D. Rossetti, J. S. Smith, and B. A. Peters, Eds, 2004, pp.1428-1433, http://dx.doi.org/10.1109/WSC.2004.1371482 ·
- A. Jamal, M. T. Rahman, H. M. Al-Ahmadi, I. Ullah, and M. Zahid. Intelligent intersection control for delay optimization: using meta-heuristic search algorithms. 2020, https://www.mdpi.com/2071-1050/12/5/1896/pdf
- L. N. Vicente and P. H. Calamai, “Bilevel and multilevel programming: A bibliography review,” J Glob Optim, vol. 5, pp. 291–306, 1994, https://doi.org/10.1007/BF01096458
- B. Colson, P. Marcotte, and G. Savard, “An overview of bilevel optimization,” J. Ann Oper Res vol. 153, pp. 235–256, 2007, DOI 10.1007/s10479-007-0176-2, https://www.iro.umontreal.ca/~marcotte/ARTIPS/AOR2007.pdf
- S. A. Khandelwal and M. C. Puri, “Bilevel time minimizing transportation problem,” J. Discrete Optimization, volume 5, no 4, pp. 714-723, November 2008, https://doi.org/10.1016/j.disopt.2008.04.004
- H. Sun, Z. Gao, and J. Wu, “A bi-level programming model and solution algorithm for the location of logistics distribution centers,” J. Applied Mathematical Modelling, vol. 32, no 4, pp. 610-616, April 2008, https://doi.org/10.1016/j.apm.2007.02.007
- A. Arizti, A. Mauttone, and M. E. Urquhart, “A bilevel approach to frequency optimization in public transportation systems,” in 18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2018), .65, pp. 7:1-7:13, ISBN 978-3-95977-096-5, ISSN 2190-6807, http://dx.doi.org/10.4230/OASIcs.ATMOS.2018.7, http://drops.dagstuhl.de/opus/volltexte/2018/9712/
- J. Hao, X. Liu, X. Shen, and N. Feng, “Bilevel Programming Model of Urban Public Transport Network under Fairness Constraints,” in Discrete Optimization for Dynamic Systems of Operations Management in Data-Driven Society, 2019, https://doi.org/10.1155/2019/2930502,
- M. Patriksson, “Robust bi-level optimization models in transportation science,” Philosophical transactions of royal Society A, vol. 366, no 1872, pp. 1931-1940, 2008, http://doi.org/10.1098/rsta.2008.0007
- R. Z. Farahania, E. Miandoabchib, W. Y. Szetoc, and H. Rashidid, “A review of urban transportation network design problems,” European Journal of Operational Research, vol. 229, no 2, September 2013, Pages 281-302, https://doi.org/10.1016/j.ejor.2013.01.001, http://dx.doi.org/10.1016/j.ejor.2013.01.001
- X. Jia, R. He, C. Zhang, and H. Chai, "A Bi-Level Programming Model of Liquefied Petroleum Gas Transportation Operation for Urban Road Network by Period-Security," Sustainability, MDPI, Open Access Journal, vol. 10, no 12, pp. 1-20, December 2018, https://ideas.repec.org/a/gam/jsusta/v10y2018i12p4714-d189583.html
- K. Moad, J. François , J. P. Bourrières , L. Lebel, and M. Vuillermo, “A bi-level decision model for timber transport planning”, 6th Int conf Information systems, logistics and supply chain, 2016 Bordeaux, http://ils2016conference.com/wp-content/uploads/2015/03/ILS2016_TD02_3.pdf
- C. Tawfik, S. Limbourg, “Bilevel optimization in the context of intermodal pricing: state of art,” Transportation Research Procedia, vol. 10, pp. 634 – 643, 2015, https://orbi.uliege.be/bitstream/2268/185274/1/1-s2.0-S2352146515002045-main.pdf , http://dx.doi.org/10.1016/j.trpro.2015.09.017
- A. Sinha, P. Malo, and K. Deb, Transportation Policy Formulation as a Multi-objective Bilevel Optimization Problem, 2015, https://www.egr.msu.edu/~kdeb/papers/c2015009.pdf
- C. Lu, S. Yan, H. Ko and H. Chen, "A bilevel model with a solution algorithm for locating weigh-in-motion stations," in IEEE Transactions on Intelligent Transportation Systems, vol. 19, no. 2, pp. 380-389, Feb. 2018, https://ieeexplore.ieee.org/document/7922613
- R. G. Ródenas, M. L. L.García, M. T. S. Rico, and J. A. L. Gómez, “A bilevel approach to enhance prefixed traffic signal optimization,” J. Engineering Applications of Artificial Intelligence, vol. 84, pp. 51-65, September 2019, https://doi.org/10.1016/j.engappai.2019.05.017
- S. Goel, S. F. Bush, and C. Gershenson, Self-Organization in Traffic Lights: Evolution of Signal Control w ith Advances in Sensors and Communications, June 2017, https://www.researchgate.net/publication/319271996_Self-Organization_in_Traffic_Lights_Evolution_of_Signal_Control_with_Advances_in_Sensors_and_Communications