Development of a Traffic Signal Green Time and Cycle Length Optimization Model Using NSGA-III
Abstract
Optimization of delay, capacity, and emissions in signalized intersections brings in conflicting goals. But most literature studies have dealt with these individual goals or used two-objective optimization methods, and such approaches are not efficient in capturing these tradeoffs. To overcome this problem, this research utilizes Non-dominated Sorting Genetic Algorithm-III in designing a model to optimize delay, capacity, and emissions for a four-leg intersection. Convergence, hypervolume indicator, and spread methods are used to examine algorithm performance, and knee point solutions are used to identify a tradeoff solution. The obtained output shows that NSGA-III gives a smooth and evenly spread Pareto front with a hypervolume and a spread of which represents excellent convergence and diversification capabilities. Following the outcome of the experiment based on knee point identification, the solution with index 38 gives an optimal control setting of q₁ = 37.7 s, q₂ = 20 s, q₃ = 20 s, q₄ = 27.8 s, with cycle length of C = 121.42 s. With this setting, the average delay is reduced by 38%, the queue length by , and the degree of saturation is improved to 0.83, while capacity is reduced moderately and total emissions increased. In summary, this research work proves the NSGA III is efficient in identifying tradeoffs among delays, capacity and emission. The highlight of this research work is that the knee point gives the most balanced operational solution without excessively increasing cycle length.
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Y. Ilham, E. Saputra, R. Wahid, and S. Insani, “Model WebGIS Menggunakan Metode Scoring Untuk Klasifikasi Tingkat Rawan Kebakaran Hutan di Kalimantan Barat,” Progresif J. Ilm. Komput., vol. 20, no. 1, pp. 403–416, 2024, [Online]. Available: https://doi.org/ 10.35889/progresif.v20i1.1692
N. Sa’adah, P. Subardjo, W. Atmodjo, and M. F. A. Ismail, “Laju Sedimen Menggunakan Metode Isotop 210pb Di Muara Jungkat Pontianak Kalimantan Barat.,” J. Oceanogr., vol. 4, no. 1, pp. 48–54, 2015.
Z. M. Chen and G. Q. Chen, “Embodied carbon dioxide emission at supra-national scale : A coalition analysis for G7 , BRIC , and the rest of the world,” Energy Policy, vol. 39, no. 5, pp. 2899–2909, 2011, doi: 10.1016/j.enpol.2011.02.068.
G. Q. Chen, X. D. Wu, J. Guo, J. Meng, and C. Li, “Global overview for energy use of the world economy : Household-consumption-based accounting based on the world input-output database ( WIOD ),” Energy Econ. J., vol. 81, no. 81, pp. 835–847, 2019, doi: 10.1016/j.eneco.2019.05.019.
Winardi, “Dispersi Gas Karbon Monoksida (CO) Dari Sumber Transportasi Di Kota Pontianak,” SEMIRATA 2015, pp. 737–746, 2015.
R. Andriani, R. Adriat, and J. Gajah, “Konsentrasi Karbon Monoksida ( CO ) di Kota Pontianak,” Prism. Fis., vol. 7, no. 2, pp. 143–148, 2019.
W. Kou, X. Chen, L. Yu, and H. Gong, “Multiobjective optimization model of intersection signal timing considering emissions based on field data : A case study of Beijing,” J. Air Waste Manage. Assoc., vol. 68, no. 8, pp. 836–848, 2018, doi: 10.1080/10962247.2018.1454355.
T. J. Wallington, J. E. Anderson, R. H. Dolan, and S. L. Winkler, “Vehicle Emissions and Urban Air Quality : 60 Years of Progress,” Atmosphere (Basel)., vol. 13, no. 5, p. 650, 2022, [Online]. Available: https://doi.org/10.31004/innovative.v4i4.13761
J. Kwak, B. Park, and J. Lee, “Evaluating the impacts of urban corridor traffic signal optimization on vehicle emissions and fuel consumption,” Transp. Plan. Technol., vol. 35, no. October 2014, pp. 145–160, 2012, doi: 10.1080/03081060.2011.651877.
X. Zhang et al., “Intersection Signal Timing Optimization : A Multi-Objective Evolutionary Algorithm,” Sustainability, vol. 14, no. 3, pp. 1–16, 2022, [Online]. Available: https://doi.org/10.3390/su14031506
K. L. Hidup, Pedoman teknis penyusunan inventarisasi emisi pencemar udara di perkotaan. Jakarta: Kementrian Lingkungan Hidup, 2013.
D. A. Dewanto, B. Y., Dirgawati, M., Permadi, “Inventarisasi Emisi Pencemar Kriteria dan Gas Rumah Kaca dari Sektor Transportasi On- Road di Kota Bandung menggunakan Model International Vehicle Emissions ( IVE ),” J. Reka Lingkung., vol. 9, no. 2, pp. 132–144, 2021, [Online]. Available: https://doi.org/10.26760/rekalingkungan.v9i2.132-144
R. S. Abdullah, “Integrated Corridor Management Operation Strategies,” Istanbul Technical University, 2017.
G. Hadi, M., Tariq, M. T., Saha, R. C., Wang, T., & Pacal, “Comparing & Combining Existing & Emerging Data Collection & Modeling Strategies in Support of Signal Control Optimization & Management,” 2021.
K. Deb and H. Jain, “An Evolutionary Many-Objective Optimization Algorithm Using Reference-Point-Based Nondominated Sorting Approach , Part I : Solving Problems With Box Constraints,” IEEE Trans. Evol. Comput., vol. 18, no. 4, pp. 577–601, 2014, doi: 10.1109/TEVC.2013.2281535.
R. H. Bhesdadiya, I. N. Trivedi, P. Jangir, and N. Jangir, “An NSGA-III algorithm for solving multi-objective economic / environmental dispatch problem,” Cogent Eng., vol. 47, no. 1, 2016, doi: 10.1080/23311916.2016.1269383.
J. B. B, K. Deb, and P. C. Roy, Investigating the Normalization Procedure of NSGA-III. Springer International Publishing, 2019. doi: 10.1007/978-3-030-12598-1.
Z. Cui, Y. Chang, J. Zhang, X. Cai, and W. Zhang, “Improved NSGA-III with selection-and-elimination operator,” Swarm Evol. Comput., vol. 49, no. May, pp. 23–33, 2019, doi: 10.1016/j.swevo.2019.05.011.
Y. Song, R., He, S., & Yang, “Combined Genetic Algorithms for Solving the Location Problem of Public Transit Rescuing Centers* Rui Song 1, Shiwei He 2, Yongkai Yang 3,” Traffic Transp. Stud., vol. 959–964, no. 79800001, pp. 959–964, 2002, [Online]. Available: https://doi.org/10.1061/40630(255)134
T. S. Vermeulen, “A Framework for Medium-Fidelity Ducted Fan Design Optimisation,” Delft University of Technology, 2025.
A. Hassanat, K. Almohammadi, E. Alkafaween, and E. Abunawas, “Choosing Mutation and Crossover Ratios for Genetic Algorithms — A Review with a New Dynamic Approach,” Information, vol. 10, no. 12, p. 390, 2019, doi: 10.3390/info10120390.
H. Seada and K. Deb, “U-NSGA-III : A Unified Evolutionary Algorithm for Single , Multiple , and Many-Objective Optimization,” 2014.
A. M. Abdelkhalek, A. Mohammed, M. A. Attia, and N. Badra, “An Enhanced Genetic Algorithm Using Directional-Based Crossover and Normal Mutation for Global Optimization Problems,” Stat. Optim. Inf. Comput., vol. 12, no. March, pp. 446–462, 2024, doi: 10.19139/soic-2310-5070-1796.
R. Nasmirayanti, “Perencanaan Ulang Pengaturan Fade Alat Pengatur Lalu Lintas Pada Persimpangan Bersinyal Di Persimpangan Jl. Jendral Sudirman – KIS Mangun Sarkono,” Rang Tek. J., vol. 2, no. 1, pp. 132–143, 2019, [Online]. Available: https://doi.org/10.31869/rtj.v2i1.775
Indah, R. Tumilaar, and C. E. J. C. Montolalu, “Optimasi Pengaturan Lampu Lalu Lintas dengan menggunakan Metode,” d ’ Cartes. J. Mat. dan Apl., vol. 8, no. 1, pp. 27–35, 2019, [Online]. Available: https://doi.org/10.35799/dc.8.1.2019.24590
G. R. Prima, H. Iskandar, and T. B. Joewono, “Kajian Nilai Ekivalensi MMobil Penumpang Berdasarkan Data Waktu Antara Ruas Jalan Tol ( A Study Of Passenger Car Equivalency Based On Headway For Toll Roads ),” J. Jalan Jemb., vol. 31, no. 2, pp. 74–82, 2018, [Online]. Available: https://binamarga.pu.go.id/jurnal/index.php/jurnaljalanjembatan/article/view/146
T. D. Rosadi, “Penggunaan Okupansi dan Komposisi Kendaraan untuk Menentukan Ekivalensi Mobil Penumpang (EMP) Pada Lalu Lintas Campuran di Bundaran Empat Lengan,” Teras J. J. Tek. Sipil, vol. 9, no. 2, pp. 125–132, 2019.
M. E. Rachmanudin, W. A. Hermawan, and V. N. Saputra, “Upaya Mengetahui Nilai Derajat Kejenuhan Pada Jam Puncak Di Simpang Tiga Lengan Tak Bersinyal Jalan Kertawibawa – Jalan Syekh Maqdum Wali Purwokerto,” Innov. J. Soc. Sci. Res., vol. 4, no. 4, pp. 6973–6988, 2024.
M. Pasaribu, Meliana; Kiftiah, Pemrograman Linier: Seri Metode Grafik dan Metode Simpleks. Untan Press, 2024.
X. Xu, D. Cheng, D. Wang, and Q. Li, “An Improved NSGA-III with a Comprehensive Adaptive Penalty Scheme for Many-Objective Optimization,” Symmetry (Basel)., vol. 16, no. 10, pp. 1–18, 2024, doi: https://doi.org/10.3390/sym16101289.
G. Yu, L. Ma, Y. Jin, W. Du, Q. Liu, and H. Zhang, “A Survey on Knee-oriented Multi-objective Evolutionary Optimization,” IEEE Trans. Evol. Comput., vol. 26, no. 6, pp. 1–21, 2022, doi: 10.1109/TEVC.2022.3144880.
A. P. Guerreiro and C. M. Fonseca, “The Hypervolume Indicator : Computational Problems,” vol. 54, no. 6, 2021, doi: 10.1145/3453474.
DOI: http://dx.doi.org/10.30829/zero.v9i3.26871
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