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Robust optimal traffic signal timing

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  • Yin, Yafeng

Abstract

The performance of signal timings obtained by using conventional approaches for pre-timed control systems is often unstable under fluctuating traffic conditions. This paper presents three models to determine robust optimal signal timings that are less sensitive to fluctuations of traffic flows or perform better against the worst-case scenario without losing much optimality. Computational experiments are conducted to validate the model formulations and solution algorithms.

Suggested Citation

  • Yin, Yafeng, 2008. "Robust optimal traffic signal timing," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 911-924, December.
    • Handle: RePEc:eee:transb:v:42:y:2008:i:10:p:911-924
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    1. Denos C. Gazis, 1964. "Optimum Control of a System of Oversaturated Intersections," Operations Research, INFORMS, vol. 12(6), pages 815-831, December.
    2. Manuel Laguna, 1998. "Applying Robust Optimization to Capacity Expansion of One Location in Telecommunications with Demand Uncertainty," Management Science, INFORMS, vol. 44(11-Part-2), pages 101-110, November.
    3. John D. C. Little, 1966. "The Synchronization of Traffic Signals by Mixed-Integer Linear Programming," Operations Research, INFORMS, vol. 14(4), pages 568-594, August.
    4. John M. Mulvey & Robert J. Vanderbei & Stavros A. Zenios, 1995. "Robust Optimization of Large-Scale Systems," Operations Research, INFORMS, vol. 43(2), pages 264-281, April.
    5. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
    6. Dion, Francois & Rakha, Hesham & Kang, Youn-Soo, 2004. "Comparison of delay estimates at under-saturated and over-saturated pre-timed signalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 99-122, February.
    7. Heydecker, Benjamin, 1987. "Uncertainty and variability in traffic signal calculations," Transportation Research Part B: Methodological, Elsevier, vol. 21(1), pages 79-85, February.
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    Cited by:

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    6. Chiou, Suh-Wen, 2018. "A traffic-responsive signal control to enhance road network resilience with hazmat transportation in multiple periods," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 105-118.
    7. Omid, M. Rouhani, 2013. "Queue Dissipation Shockwave Speed for Signalized Intersections," MPRA Paper 53161, University Library of Munich, Germany.
    8. Yu, Chunhui & Ma, Wanjing & Han, Ke & Yang, Xiaoguang, 2017. "Optimization of vehicle and pedestrian signals at isolated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 135-153.
    9. Krasimira Stoilova & Todor Stoilov, 2023. "Optimizing Traffic Light Green Duration under Stochastic Considerations," Mathematics, MDPI, vol. 11(3), pages 1-25, January.
    10. Miroslav Vujić & Martin Gregurić & Luka Dedić & Daniela Koltovska Nečoska, 2023. "The Impact of Unconditional Priority for Escorted Vehicles in Traffic Networks on Sustainable Urban Mobility," Sustainability, MDPI, vol. 16(1), pages 1-14, December.
    11. Sun, Qipeng & He, Chen & Wang, Yongjie & Liu, Hang & Ma, Fei & Wei, Xiao, 2022. "Reducing violation behaviors of pedestrians considering group interests of travelers at signalized crosswalk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    12. Fei, Xinyu & Wang, Xingmin & Yu, Xian & Feng, Yiheng & Liu, Henry & Shen, Siqian & Yin, Yafeng, 2023. "Traffic signal control under stochastic traffic demand and vehicle turning via decentralized decomposition approaches," European Journal of Operational Research, Elsevier, vol. 310(2), pages 712-736.
    13. Allahviranloo, Mahdieh & Chow, Joseph Y.J. & Recker, Will W., 2014. "Selective vehicle routing problems under uncertainty without recourse," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 68-88.
    14. Junwoo Song & Simon Hu & Ke Han & Chaozhe Jiang, 2020. "Nonlinear Decision Rule Approach for Real-Time Traffic Signal Control for Congestion and Emission Mitigation," Networks and Spatial Economics, Springer, vol. 20(3), pages 675-702, September.
    15. Rouhani, Omid M., 2013. "Queue Dissipation Shockwave Speed– A Signalized Intersection Case Study," 54th Annual Transportation Research Forum, Annapolis, Maryland, March 21-23, 2013 206954, Transportation Research Forum.
    16. Senlai Zhu & Ke Guo & Yuntao Guo & Huairen Tao & Quan Shi, 2019. "An Adaptive Signal Control Method with Optimal Detector Locations," Sustainability, MDPI, vol. 11(3), pages 1-13, January.
    17. Chow, Andy H.F. & Pavlides, Aris, 2018. "Cost functions and multi-objective timetabling of mixed train services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 113(C), pages 335-356.
    18. Li, Li & Li, Xiaopeng, 2019. "Parsimonious trajectory design of connected automated traffic," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 1-21.
    19. Dai, Tianxing & Li, Jiayang & Nie, Yu (Marco), 2023. "Accessibility-based ethics-aware transit design," Transportation Research Part B: Methodological, Elsevier, vol. 176(C).
    20. C. Cromvik & M. Patriksson, 2010. "On the Robustness of Global Optima and Stationary Solutions to Stochastic Mathematical Programs with Equilibrium Constraints, Part 2: Applications," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 479-500, March.
    21. Schmitt, Marius & Lygeros, John, 2020. "On convexity of the robust freeway network control problem in the presence of prediction and model uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 167-190.
    22. Zhong, Shaopeng & Cheng, Rong & Jiang, Yu & Wang, Zhong & Larsen, Allan & Nielsen, Otto Anker, 2020. "Risk-averse optimization of disaster relief facility location and vehicle routing under stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).

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