According to models commonly used in practice, the capacity of roundabouts largely depends on the value of critical headway. The value of critical headway depends on the characteristics of vehicles, driving conditions, and geometric characteristics of intersections, but also on driver behaviour. Driver behaviour is the result of many factors that depend on the influence of the local environment, driver habits, mentality, etc. Accordingly, to calculate the capacity of roundabouts within the op-erational and planning analyses of roundabouts more accurately, it is necessary to use data that correspond to local conditions. In this paper, the critical headway was estimated at five urban single-lane roundabouts using five methods: Harders’, Logit, Raff’s, Wu’s, and the max-imum likelihood method. In order to determine which of the stated methods provides the most realistic estimate of critical headway, a comparison of field capacity values with theoretical capacity values was performed. Based on the comparative analysis performed in MATLAB, as well as the calculation of percentage prediction error, it was found that the Harders' method provides the most accurate estimate of critical headway at observed round-abouts in two cities in Bosnia and Herzegovina. Due to the similarity in the design of roundabouts and driver be-haviour, the results obtained in this paper can be applied in the surrounding countries, i.e., Southeast Europe
Šarić A, Lovrić I. Multi-lane roundabout capacity evaluation. Frontiers in Built Environment. 2017;3: 42. doi: 10.3389/fbuil.2017.00042.
Mathew S, Dhamaniya A, Arkatkar SS, Joshi G. Roundabout capacity in heterogeneous traffic condition: Modification of HCM equation and calibration. Transportation Research Procedia. 2017;27: 985-992. doi: 10.1016/j.trpro.2017.12.147.
Kang N, Nakamura H. An analysis of heavy vehicle impact on roundabout entry capacity in Japan. Transportation Research Procedia. 2016;15: 308-318. doi: 10.1016/j.trpro.2016.06.026.
Fang FC, Castaneda H. Computer simulation modeling of driver behavior at roundabouts. International Journal of Intelligent Transportation Systems Research. 2018;16(1): 66-77. doi: 10.1007/s13177-017-0138-2.
Rodegerdts L, et al. NCHRP Report 572 Roundabouts in the United States. Transportation Research Board of the National Academies, Washington D.C.; 2007. https://www.townofcary.org/home/showpublisheddocument?id=1765 [Accessed 12th Feb. 2021].
Pilko H, Božić N, Šubić N. Analysis of roundabout capacities in the city of Zagreb using Swiss Method SN 640 024. Conference Proceedings Transport, Maritime and Logistics Science, 14th ICTS 2011, 27 May 2011, Slovenia; 2011.
Legac I, Šubić N, Pilko H. Komparativna analiza propusne moći kružnih raskrižja u gradu Zagrebu. Hrvatsko društvo za ceste–Via Vita, Peti hrvatski kongres o cestama, 16-19 October 2011, Cavtat–Dubrovnik, Croatia; 2011.
Šubić N, Legac I, Pilko H. Analysis of capacity of roundabouts in the city of Zagreb according to HCM C–2006 and Ning Wu Methods. Technical Gazette. 2012;19(2): 451-457.
Giuffrè O, Granà A, Tumminello ML. Exploring the uncertainty in capacity estimation at roundabouts. European Transport Research Review. 2017;9(2): 18. doi: 10.1007/s12544-017-0238-8.
Brilon W, Koenig R, Troutbeck RJ. Useful estimation procedures for critical gaps. Transportation Research Part A: Policy and Practice. 1999;33(3-4): 161-186. doi: 10.1016/S0965-8564(98)00048-2.
Tian Z, et al. Implementing the maximum likelihood methodology to measure a driver’s critical gap. Transportation Research Part A: Policy and Practice. 1999;33(3-4): 187-197. doi:10.1016/S0965- 8564(98)00044-5.
Macioszek E. The comparison of models for critical headways estimation at roundabouts. Contemporary Challenges of Transport Systems and Traffic Engineering. Springer, Cham; 2017. p. 205-219. doi: 10.1007/978-3-319-43985-3_18.
Easa SM, et al. Reliability analysis of intersection sight distance at roundabouts. Infrastructures. 2020;5(8): 67. doi: 10.3390/infrastructures5080067.
Krishna Y. Modelling performance parameters of roundabouts using gap acceptance method for Indian traffic scenario. PhD thesis. Department of Civil Engineering National Institute of Technology, Rourkela Odisha; 2015. http://ethesis.nitrkl.ac.in/7840/1/2015_MT_Modelling_KRISHNA.pdf [Accessed 19th Nov. 2020].
Vasconcelos L, Seco Á, Silva AB. Comparison of procedures to estimate critical headways at roundabouts. Promet – Traffic&Transportation. 2013;25: 43-53. doi: 10.7307/ptt.v25i1.1246.
Guo R. Estimating critical gap of roundabouts by different methods. 6th Advanced Forum on Transportation of China, 16 October 2010, Beijing, China; 2010. doi: 10.1049/cp.2010.1107.
Dahl J, Lee C. Empirical estimation of capacity for roundabouts using adjusted gap-acceptance parameters for trucks. Transportation Research Record. 2012;2312(1): 34-45. doi: 10.3141/2312-04.
Fitzpatrick CD, Abrams DS, Tang Y, Knodler Jr MA. Spatial and temporal analysis of driver gap acceptance behavior at modern roundabouts. Transportation Research Record. 2013;2388(1): 14-20. doi: 10.3141/2388-03.
Lee C, Khan MN. Prediction of capacity for roundabouts based on percentages of trucks in entry and circulating flows. Transportation Research Record. 2013;2389(1): 30-41. doi: 10.3141/2389-04.
Mahesh S, Ahmad A, Rastogi R. An approach for the estimation of entry flows on roundabouts. Transportation Research Procedia. 2016;17: 52-62. doi: 10.1016/j.trpro.2016.11.060.
Ahmad A, Rastogi R, Chandra S. Estimation of critical gap on a roundabout by minimizing the sum of absolute difference in accepted gap data. Canadian Journal of Civil Engineering. 2015;42(12): 1011-1018. doi: 10.1139/cjce-2014-0450.
Gazzarri A, Martello MT, Pratelli A, Souleyrette RR. Estimation of gap acceptance parameters for HCM 2010 roundabout capacity model applications. XVIII Urban Transport: Urban Transport and the Environment in the 21st Century, 15 May 2012, UK; 2012. p. 309-319. doi: 10.2495/UT120271.
Liang Q, Liu P, Wang H, Yu H. Can Highway Capacity Manual model be used to estimate the capacity of modern roundabouts in China? A case study in Nanjing. CICTP 2012: Multimodal Transportation Systems—Convenient, Safe, Cost-Effective, Efficient, 3-6 August 2012, Beijing, China; 2012. p. 812-821. doi: 10.1061/9780784412442.083.
Martin-Gasulla M, García A, Moreno AT. Benefits of metering signals at roundabouts with unbalanced flow: Patterns in Spain. Transportation Research Record. 2016;2585(1): 20-28. doi: 10.3141/2585-03.
Transportation Research Board of the National Research Council. Highway Capacity Manual. Washington D.C; 2010.
Transportation Research Board of the National Research Council. Highway Capacity Manual. Washington D.C; 2016.
Kim TY, Park MK, Park BH. A critical gap model for roundabouts in Korea. Journal of Korean Society of Transportation. 2012;30(2): 93-100. doi: 10.7470/jkst.2012.30.2.093.
Xu F, Tian ZZ. Driver behavior and gap-acceptance characteristics at roundabouts in California. Transportation Research Record. 2008;2071(1): 117-124. doi: 10.3141/2071-14.
Guo R, Zhao Y. Critical gap of a roundabout based on a logit model. Fifth International Conference on Transportation Engineering, ICTE 2015, 26–27 September 2015, Dailan, China; 2015. p. 2597-2603. doi: 10.1061/9780784479384.331.
Wei T, Grenard JL. Calibration and validation of highway capacity manual 2010 capacity model for single-lane roundabouts. Transportation Research Record. 2012;2286(1): 105-110. doi: 10.3141/2286-12.
Hagring O. Derivation of capacity equation for roundabout entry with mixed circulating and exiting flows. Transportation Research Record. 2001;1776(1): 91-99. doi: 10.3141/1776-12.
Barry CD. Calibration of the HCM 2010 roundabout capacity equations for Georgia conditions. PhD thesis. Georgia Institute of Technology; 2012. http://hdl.handle.net/1853/44887 [Accessed 19th Nov. 2020].
Zheng D, Chitturi M, Bill A, Noyce DA. Comprehensive evaluation of Wisconsin roundabouts, Volume 1: Traffic operations. Madison, WI: Traffic Operations and Safety Laboratory; 2011.
Suh W, et al. Impact of including exiting vehicles in single-lane roundabout capacity models. Transportation Research Record. 2015;2517(1): 87-95. doi: 10.3141/2517-10.
Maslać D, Cvitanić D, Lovrić I. Estimation of critical headway at small urban roundabout. Promet – Traffic&Transportation. 2020;32(1): 103-117. doi: 10.7307/ptt.v32i1.3155.
Polus A, Lazar SS, Livneh M. Critical gap as a function of waiting time in determining roundabout capacity. Journal of Transportation Engineering. 2003;129(5): 504-509. doi: 10.1061/(ASCE)0733-947X(2003)129:5(504).
Polus A, Shiftan Y, Shmueli-Lazar S. Evaluation of the waiting-time effect on critical gaps at roundabouts by a logit model. European Journal of Transport and Infrastructure Research. 2005;5(1). doi: 10.18757/ejtir.2005.5.1.4329.
Kusuma A, Koutsopoulos HN. Critical gap analysis of dual lane roundabouts. Procedia-Social and Behavioral Sciences. 2011;16: 709-717. doi: 10.1016/j.sbspro.2011.04.490.
Giuffrè O, Granà A, Tumminello ML. Gap-acceptance parameters for roundabouts: A systematic review. European Transport Research Review. 2016;8(1): 1-20. doi: 10.1007/s12544-015-0190-4.
Shaaban K, Hamad H. Group gap acceptance: A new method to analyze driver behavior and estimate the critical gap at multilane roundabouts. Journal of Advanced Transportation. 2018;2018. doi: 10.1155/2018/1350679.
Lee D, Hwang S, Ka E, Lee C. Evaluation of the rain effects on gap acceptance behavior at roundabouts by a logit model. Journal of Advanced Transportation. 2018;2018. doi: 10.1155/2018/2726732.
Cheng J, Yang X, Deng W, Huang X. Driver's critical gap calibration at urban roundabouts: A case study in China. Tsinghua Science and Technology. 2008;13(2): 237-242. doi: 10.1016/S1007-0214(08)70038-5.
Kang N, Nakamura H, Asano M. An empirical analysis on critical gap and follow-up time at roundabout considering geometry effect. Proc., 46th Infrastructure Planning Conference; 2012.
Mensah S, Eshragh S, Faghri A. A critical gap analysis of modern roundabouts. Transportation Research Board Annual Meeting, 10 January 2010, Washington DC, United States; 2010.
Hainen AM, et al. Roundabout critical headway measurement based on high-resolution event-based data from wireless magnetometers. Transportation Research Record. 2013;2389(1): 51-64. doi: 10.3141/2389-06.
Stanimirović D, et al. The influence of the participation of non-resident drivers on roundabout capacity. Sustainability. 2019;11(14): 3896. doi: 10.3390/su11143896.
Raff MS. A volume warrant for urban stop signs. Eno Foundation for Highway Traffic Control; 1950. https://trid.trb.org/view.aspx?id=118780 [Accessed 15th Dec. 2020].
Miller AJ. Nine estimators for gap-acceptance parameters. Proceedings of the International Symposium on the Theory of Traffic Flow and Transportation, 16 June 1971, Berkeley, California; 1971.
Retzko HG. [Comparative evaluation of different kinds of traffic control at urban intersections]. Vergleichende bewertung verschiedener arten der verkehrsregelung an staedtischen straûenverkehrsknotenpunkten. Series Strassenbau und Strassenverkehrstechnik, No. 12; 1961. German.
Harders J. [Capacity of urban unsignalized intersections] Die leistungsfahigkeit nicht signalgeregelter staedtischer verkehrsknotenpunkte. Series Strassenbau und Strassenverkehrstechnik, No. 76; 1968. German.
Miller AJ, Pretty RL. Overtaking on two-lane rural roads. Proc. Aust. Rd. Res. Board. 1968;4(1): 582-591.
Troutbeck RJ. Estimating the critical acceptance gap from traffic movements. Queensland University of Technology. Research report, 1992.
Wu N. A new model for estimating critical gap and its distribution at unsignalized intersections based on the equilibrium of probabilities. Proceedings of the 5th International Symposium on Highway Capacity and Quality of Service, 25 Jul 2006, Yokohama, Japan; 2006.
Kyte M, et al. Capacity and delay characteristics of two-way stop-controlled intersections. Transportation Research Record. 1991;1320: 160-167. http://onlinepubs.trb.org/Onlinepubs/trr/1991/1320/1320-020.pdf [Accessed 20th Feb. 2021].
Mohan M, Chandra S. Capacity estimation of unsignalized intersections under heterogeneous traffic conditions. Canadian Journal of Civil Engineering. 2020;47(6): 651-662. doi: 10.1139/cjce-2018-0796.
Tolazzi T. The contribution to the procedure of capacity determination at unsignalized priority-controlled intersections. Promet – Traffic&Transportation. 2004;16(1): 31-36. doi: 10.7307/ptt.v16i1.571.
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