Travel time distribution estimation on arterial networks under the stationary conditions
Sara RahimiSararahimi0@ut.ac.irDepartment of Industrial ManagementFaculty of ManagementUniversity of TehranTehran, IranView full profile → , Mohammad Reza Mehreganmehregan@ut.ac.irDepartment of Industrial ManagementFaculty of ManagementUniversity of TehranTehran, IranView full profile → , Mansoor Momenimmomeni@ut.ac.irDepartment of Industrial ManagementFaculty of ManagementUniversity of TehranTehran, IranView full profile → , *Mohammad Reza FarhangdoostCorresponding authorfarhang@shirazu.ac.irDepartment of MathematicsCollege of SciencesShiraz UniversityShiraz, P. O. Box 71457-44776, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Nov 2024
- Published Online:
- 29 Nov 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDSGT-2024-11016
- Pages:
- 59–79
Abstract
Keywords
Subject Classifications
References
[1] C. Carrion and D. Levinson, “Value of travel time reliability: A review of current evidence,” Transportation Research Part A: Policy and Practice, vol. 46, no. 4, pp. 720–741 (2012).
[2] M. Kouwenhoven, G. C. de Jong, P. Koster, V. A. C. van den Berg, E. T. Verhoef, J. Bates, and P. M. J. Warffemius, “New values of time and reliability in passenger transport in The Netherlands,” Research in Transportation Economics, vol. 47, pp. 37–49 (2014).
[3] S. Peer, C. C. Koopmans, and E. T. Verhoef, “Prediction of travel time variability for cost-benefit analysis,” Transportation Research Part A: Policy and Practice, vol. 46, no. 1, pp. 79–90 (2012).
[4] F. Zheng and H. Van Zuylen, “Uncertainty and Predictability of Urban Link Travel Time,” Transportation Research Record: Journal of the Transportation Research Board, vol. 2192, pp. 136–146 (2010).
[5] X. Wu and H. X. Liu, “A shockwave profile model for traffic flow on congested urban arterials,” Transportation Research Part B: Methodological, vol. 45, no. 10, pp. 1768–1786 (2011).
[6] F. Zheng, H. Van Zuylen, and X. Liu, “A Methodological Framework of Travel Time Distribution Estimation for Urban Signalized Arterial Roads,” Transportation Science, vol. 51, no. 3, pp. 893–917 (2017).
[7] T. Van Woensel, L. Kerbache, H. Peremans, and N. Vandaele, “Vehicle routing with dynamic travel times: A queueing approach,” European Journal of Operational Research, vol. 186, no. 3, pp. 990–1007 (2008).
[8] E. Jenelius and H. N. Koutsopoulos, “Travel time estimation for urban road networks using low frequency probe vehicle data,” Transportation Research Part B: Methodological, vol. 53, pp. 64–81 (2013).
[9] W. Qin, X. Ji, and F. Liang, “Estimation of urban arterial travel time distribution considering link correlations,” Transportmetrica A: Transport Science, vol. 16, no. 3, pp. 1429–1458 (2020).
[10] D. Bertsimas, A. Delarue, P. Jaillet, and S. Martin, “Travel Time Estimation in the Age of Big Data,” Operations Research, vol. 67, no. 2, pp. 498–515 (2019).
[11] M. Ramezani and N. Geroliminis, “On the estimation of arterial route travel time distribution with Markov chains,” Transportation Research Part B: Methodological, vol. 46, no. 10, pp. 1576–1590 (2012).
[12] P. Cao, T. Miwa, and T. Morikawa, “Modeling Distribution of Travel Time in Signalized Road Section Using Truncated Distribution,” Procedia - Social and Behavioral Sciences, vol. 138, pp. 137–147 (2014).
[13] M. A. P. Taylor and Susilawati, “Modelling Travel Time Reliability with the Burr Distribution,” Procedia - Social and Behavioral Sciences, vol. 54, pp. 75–83 (2012).
[14] M. Beaud, T. Blayac, and M. Stéphan, “Value of Travel Time Reliability: Two Alternative Measures,” Procedia - Social and Behavioral Sciences, vol. 54, pp. 349–356 (2012).
[15] F. Zheng, W. Li, M. van Zuylen, and H. van Zuylen, “Urban travel time reliability at different traffic conditions,” Journal of Intelligent Transportation Systems, vol. 22, no. 2, pp. 106–120 (2018).
[16] N. Geroliminis and A. Skabardonis, “Identification and Analysis of Queue Spillovers in City Street Networks,” IEEE Transactions on Intelligent Transportation Systems, vol. 12, no. 4, pp. 1107–1115 (2011).
[17] C. F. Daganzo, “The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory,” Transportation Research Part B: Methodological, vol. 28, no. 4, pp. 269–287 (1994).
[18] Z. Ghandeharioun and A. Kouvelas, “Link Travel Time Estimation for Arterial Networks Based on Sparse GPS Data and Considering Progressive Correlations,” IEEE Open Journal of Intelligent Transportation Systems, vol. 3, pp. 679–694 (2022).
[19] R. Li, Z. Hao, X. Yang, X. Yang, Y. Wang, Y. Su, and Z. Dong, “Urban road travel time prediction based on gated recurrent unit using internet data,” IET Intelligent Transport Systems, vol. 17, no. 12, pp. 2396–2409 (2023).
[20] M. Gendreau, G. Ghiani, and E. Guerriero, “Time-dependent routing problems: A review,” Computers & Operations Research, vol. 64, pp. 189–197 (2015), doi: 10.1016/j.cor.2015.06.001.
[21] J. Y. Cheah and J. M. G. Smith, “Generalized M/G/C/C state dependent queueing models and pedestrian traffic flows,” Queueing Systems, vol. 15, no. 1–4, pp. 365–386 (1994).
[22] R. Jain and J. M. Smith, “Modeling Vehicular Traffic Flow using M/G/C/C State Dependent Queueing Models,” Transportation Science, vol. 31, no. 4, pp. 324–336 (1997).
[23] X. Chen, C. Osorio, and B. F. Santos, “Simulation-Based Travel Time Reliable Signal Control,” Transportation Science, vol. 53, no. 2, pp. 523–544 (2019).
[24] F. Zheng and H. Van Zuylen, “Modeling Variability of Urban Travel Times by Analyzing Delay Distribution for Multiple Signalized Intersections,” Transportation Research Record, vol. 2259, no. 1, pp. 80–95 (2011).
[25] C. Osorio and C. Wang, “On the analytical approximation of joint aggregate queue-length distributions for traffic networks: A stationary finite capacity Markovian network approach,” Transportation Research Part B: Methodological, vol. 95, pp. 305–339 (2017).
[26] F. Viti, ‘The Dynamics and the Uncertainty of Delays at Signals’, Doctor of Philosophy, Delft University of Technology, Delft (2006).
[27] C. Osorio and M. Bierlaire, “An analytic finite capacity queueing network model capturing the propagation of congestion and blocking,” European Journal of Operational Research, vol. 196, no. 3, pp. 996–1007 (2009).
[28] P. P. Bocharov, C. D’Apice, and A. V. Pechinkin, Queueing Theory, De Gruyter (2011).
[29] R. S. Kenett, “Fundamentals of queueing theory,” Journal of the Royal Statistical Society: Series D (The Statistician), vol. 35, no. 5, p. 570 (1986), doi: 10.2307/2987982.
[30] O. C. Ibe, Markov Processes for Stochastic Modeling, 2nd ed. Amsterdam, Netherlands: Elsevier, pp. 1–494 (2013), doi: 10.1016/C2012-0-06106-6.
[31] L. A. Elefteriadou, Highway Capacity Manual 6th Edition, The National Academies Press (2016).
[32] Synchro Studio 8 User Guide, Trafficware (2011).
[33] D. Husch and J. Albeck, Trafficware SYNCHRO 6 User Guide, Trafficware (2004).




