A Lightweight Interpolation Framework for Real-Time Travel Time Estimation with Incomplete Traffic Observations

Authors

  • Alya Syifani UIN Siber Syekh Nurjati Cirebon, Jawa Barat, Indonesia
  • Musyarofah UIN Siber Syekh Nurjati Cirebon, Jawa Barat, Indonesia
  • Taufik Ramadhan Firdaus Global Tiket Network

DOI:

https://doi.org/10.63876/ijtm.v4i3.88

Keywords:

Interpolation, Travel time estimation, Real-time traffic data, Traffic prediction, Intelligent navigation system.

Abstract

Real-time travel time estimation is essential for intelligent transportation systems (ITS), yet operational traffic data streams are often incomplete due to sensor failures, communication delays, and limited coverage. This paper investigates the effectiveness of interpolation techniques for reconstructing temporally continuous travel-time profiles from real-time speed and density observations. Two approaches—linear interpolation and spline interpolation—are implemented and evaluated across varying traffic regimes (normal flow, dense traffic, and extreme congestion). Model performance is assessed using Mean Absolute Error (MAE) and Root Mean Square Error (RMSE) against reference travel-time measurements. The results show that interpolation-based methods consistently outperform a conventional baseline relying on average observed speeds, improving estimation accuracy by up to approximately 15%. Linear interpolation yields competitive performance under stable conditions, while spline interpolation achieves lower MAE and RMSE under congestion, indicating stronger robustness to nonlinear traffic dynamics. Additionally, interpolation improves service availability and estimated time of arrival (ETA) reliability with minimal computational overhead, supporting practical deployment in resource-constrained environments. These findings suggest that interpolation provides a lightweight and effective enhancement for real-time travel time estimation and can serve as a reliable preprocessing layer for advanced predictive models in future work.

Downloads

Download data is not yet available.

References

B. Van Voorhees et al., “Development of information and communication technology (ICT) for a coordinated healthcare program serving low income, chronically ill children,” Healthcare, vol. 11, no. 4, p. 100720, Dec. 2023, doi: https://doi.org/10.1016/j.hjdsi.2023.100720.

M. Manai, B. Sellami, and S. Ben Yahia, “Towards a Smarter Charging Infrastructure: Real-Time Availability Forecasting for EVs,” Procedia Comput. Sci., vol. 246, pp. 930–939, 2024, doi: https://doi.org/10.1016/j.procs.2024.09.512.

X. Han, G. Shen, X. Yang, and X. Kong, “Congestion recognition for hybrid urban road systems via digraph convolutional network,” Transp. Res. Part C Emerg. Technol., vol. 121, p. 102877, Dec. 2020, doi: https://doi.org/10.1016/j.trc.2020.102877.

C. Anderson, M. Algorri, and M. J. Abernathy, “Real-time algorithmic exchange and processing of pharmaceutical quality data and information,” Int. J. Pharm., vol. 645, p. 123342, Oct. 2023, doi: https://doi.org/10.1016/j.ijpharm.2023.123342.

I. A. Baba, F. A. Rihan, and E. Hincal, “Analyzing co-infection dynamics: A mathematical approach using fractional order modeling and Laplace-Adomian decomposition,” J. Biosaf. Biosecurity, vol. 6, no. 2, pp. 113–124, Jun. 2024, doi: https://doi.org/10.1016/j.jobb.2024.05.002.

S. I. Kailaku, Y. Arkeman, Y. A. Purwanto, and F. Udin, “Appropriate harvest age of mango (Mangifera indica cv. Arumanis) for quality assurance in long distance transportation planning in Indonesia,” J. Agric. Food Res., vol. 14, p. 100763, Dec. 2023, doi: https://doi.org/10.1016/j.jafr.2023.100763.

I. Gokasar, D. Pamucar, M. Deveci, and W. Ding, “A novel rough numbers based extended MACBETH method for the prioritization of the connected autonomous vehicles in real-time traffic management,” Expert Syst. Appl., vol. 211, p. 118445, Jan. 2023, doi: https://doi.org/10.1016/j.eswa.2022.118445.

B. A. Kumar, R. Jairam, S. S. Arkatkar, and L. Vanajakshi, “Real time bus travel time prediction using k -NN classifier,” Transp. Lett., vol. 11, no. 7, pp. 362–372, Jul. 2019, doi: https://doi.org/10.1080/19427867.2017.1366120.

J. Xiao, K. Chen, L. Chen, K. Wen, and Y. Hu, “Speckle reduction in digital holography based on cosine similarity and polynomial interpolation,” Optik (Stuttg)., vol. 293, p. 171451, Nov. 2023, doi: https://doi.org/10.1016/j.ijleo.2023.171451.

A. El Hilali, A. Monir, and H. Mraoui, “A shape-preserving spline interpolation for sampling designs from inverse distributions,” Results Appl. Math., vol. 19, p. 100392, Aug. 2023, doi: https://doi.org/10.1016/j.rinam.2023.100392.

M.-S. Akhmatova, A. Deniskina, D.-M. Akhmatova, and L. Prykina, “Integrating quality management systems (TQM) in the digital age of intelligent transportation systems industry 4.0,” Transp. Res. Procedia, vol. 63, pp. 1512–1520, 2022, doi: https://doi.org/10.1016/j.trpro.2022.06.163.

S. Fu, S. Gu, Y. Zhang, M. Zhang, and J. Weng, “Towards system-theoretic risk management for maritime transportation systems: A case study of the yangtze river estuary,” Ocean Eng., vol. 286, p. 115637, Oct. 2023, doi: https://doi.org/10.1016/j.oceaneng.2023.115637.

S. Bhattacharya, E. Koley, and S. Ghosh, “Improving resilience of cyber physical power networks against Time Synchronization Attacks (TSAs) using deep learning and spline interpolation with real-time validation,” Chaos, Solitons & Fractals, vol. 189, p. 115647, Dec. 2024, doi: https://doi.org/10.1016/j.chaos.2024.115647.

F. Dell’Accio, F. Di Tommaso, and F. Nudo, “Generalizations of the constrained mock-Chebyshev least squares in two variables: Tensor product vs total degree polynomial interpolation,” Appl. Math. Lett., vol. 125, p. 107732, Mar. 2022, doi: https://doi.org/10.1016/j.aml.2021.107732.

C. Zhang, X. Tian, Y. Zhao, and J. Lu, “Automated machine learning-based building energy load prediction method,” J. Build. Eng., vol. 80, p. 108071, Dec. 2023, doi: https://doi.org/10.1016/j.jobe.2023.108071.

X. Ma, Y. Hao, X. Li, J. Liu, and J. Qi, “Evaluating global intelligence innovation: An index based on machine learning methods,” Technol. Forecast. Soc. Change, vol. 194, p. 122736, Sep. 2023, doi: https://doi.org/10.1016/j.techfore.2023.122736.

H. Meng et al., “GPS/INS Integrated Navigation Based on Grasshopper Optimization Algorithm,” IFAC-PapersOnLine, vol. 52, no. 24, pp. 29–34, 2019, doi: https://doi.org/10.1016/j.ifacol.2019.12.374.

W. Wen, T. Liu, and S. Duan, “A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics,” Comput. Math. with Appl., vol. 127, pp. 154–180, Dec. 2022, doi: https://doi.org/10.1016/j.camwa.2022.10.001.

Z. Sun, “A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach,” Appl. Math. Comput., vol. 423, p. 126996, Jun. 2022, doi: https://doi.org/10.1016/j.amc.2022.126996.

V. Gómez and C. Pérez-Arancibia, “On the regularization of Cauchy-type integral operators via the density interpolation method and applications,” Comput. Math. with Appl., vol. 87, pp. 107–119, Apr. 2021, doi: https://doi.org/10.1016/j.camwa.2021.02.002.

Downloads

Published

2025-12-24

How to Cite

Syifani, A., Musyarofah, M., & Firdaus, T. R. (2025). A Lightweight Interpolation Framework for Real-Time Travel Time Estimation with Incomplete Traffic Observations. International Journal of Technology and Modeling, 4(3), 183–192. https://doi.org/10.63876/ijtm.v4i3.88

Issue

Section

Articles

Most read articles by the same author(s)