Application of Fuzzy Techniques for Determining the Operating Speed Based on Road Geometry

  • Antonino D'Andrea
  • Orazio Pellegrino
Keywords: operating speed, fuzzy logic, road safety, accident, visibility, road geometry


The operating speed is certainly one of the most important variables in the management of road safety. Its determination has been refined in the last few years by means of experimental analyses that have also sanctioned its strong link with the context in which speed surveys are carried out. In fact, even though all the algorithms proposed have a very simple analytical structure, it has been noted that they can never have a general character and thus be applied without losing a certain amount of reliability.Moreover, the technological development today achieved would allow for recording in a complete way of the road environment as modern measuring instruments provide in digital format and in an economically convenient manner a great amount of data.As such, the aim of this work is to propose a methodology that allows not only the ordering and classification of numerous important data but one that is able to recognise the presence of links of dependence between unknown variables a-priori or, in any case, of difficult analytical characterisation. The technique of clustering used in order to achieve this is preliminary to the organisation of a general fuzzy model that takes into account certain variables of input linked to the geometry of the road and to the visibility and that provides as output the operating speed.Such model has been applied to a rural road located in Messina (Italy) and the results achieved, tested with experimental surveys as well as with algorithms present in literature, are very encouraging and invite deeper exploration of the study.


Alexander, G.J. & Lunenfeld, H.: Driver Expectancy in Highway Design and Traffic Operations. U.S. Department of Transportation, Federal Highway Administration, Washington, D.C., April 1986

Lamm, R., Choueiri, E.M.: Rural Roads Speed Inconsistencies Design Methods, Research Report for the State University of New York. Research Foundation, Parts I and II, Albany, N.Y., U.S.A, 1987

Lamm, R., Choueiri, E.M., Hayward, J.C., Paluri, A.: Possible Design Procedure to Promote Design Consistency in Highway Geometric Design on Two-Lane Rural Roads. Transportation Research Record 1195/1988, 1988

Lamm, R., Psarianos, B., Mailaender, T.: Highway Design and Traffic Safety Engineering Handbook. McGraw-Hill, New York, U.S.A., 1999

Lamm, R., Psarianos, B., Cafiso, S.: Safety Evaluation Process for Two-Lane Rural Roads: A 10-Year Review. Transportation Research Record. 1796/2002, 2002

Cafiso, S., Lamm, R., La Cava, G.: Fuzzy Model for Safety Evaluation Process of New and Old Roads. Transportation Research Record: Journal of the Transportation Research Board. Vol. 1881, 2004

McLean, J.: Speeds, Friction Factors, and Alignment Design Standards. Research Report. ARR 154. Victoria, Australia: Australian Road Research Board, 1988.

Gibreel, G.M., Easa, S.M., Hassan, Y., El-Dimeery, I.A.: State of the Art of Highway Geometric Design Consistency. Journal of Transportation Engineering 125 (4), 1999, pp. 305-313

Nicholson, A.: Superelevation, Side Friction, and Roadway Consistency. Journal of Transportation Engineering 124 (5), 1998, pp. 411-418

Gattis, J.L. & Watts, A.: Urban Street Speed Related to Width and Functional Class. Journal of Transportation Engineering 125 (3), 1999, pp. 193-200.

Al-Masaeid, H.R., Hammory, K., Al-Omari, B.: Consistency of horizontal alignment under adverse weather conditions. Road & Transport Research 8 (3), 1999, pp. 55-67

Aljanahi, A.A.M., Rhodes, A.H., Metcalfe, A.V.: Speed, speed limits and road traffic accidents under free flow conditions. Accident Analysis and Prevention 31, 1999, pp. 161–168

Aarts, L., van Schagen, I.: Driving speed and the risk of road crashes: A review. Accident Analysis and Prevention 38, 2006, pp. 215–224

Gibreel, G.M. & Easa, S.M.: Prediction of Operating Speed on Three-Dimensional Highway Alignments. Journal of Transportation Engineering 127 (1), 2001, pp. 21-30

Hassan, Y., Gibreel, G., Easa, S.M.: Evaluation of Highway Consistency and Safety: Practical Application. Journal of Transportation Engineering 126 (3), 2000, pp. 193-201

Hassan, Y., Sayed, T., Tabernero, V.: Establishing Practical Approach for Design Consistency Evaluation. Journal of Transportation Engineering 127 (4), 2001, pp. 295-302

Easa, S.M.: Distributing Superelevation to Maximize Highway Design Consistency. Journal of Transportation Engineering 129 (2), 2003, pp. 127-133

Polus, A., Mattar-Habib, C.: New Consistency Model for Rural Highways and Its Relationship to Safety. Journal of Transportation Engineering 130 (3), 2004, pp. 286-293

Misaghi, P., Hassan, Y.: Modeling Operating Speed and Speed Differential on Two-Lane Rural Roads. J. Transp. Engrg. Volume 131, Issue 6, 2005, pp. 408-418

Fitzpatrick, K., Miaou, S.P., Brewer, M., Carlson, P., Wooldridge, M.D.: Exploration of the Relationships between Operating Speed and Roadway Features on Tangent Sections. Journal of Transportation Engineering 131 (4), 2005, pp. 261-269

Fitzpatrick, K., Schneider, IV W.H., Park, E.S.: Predicting Speeds in an Urban Right-Turn Lane. Journal of Transportation Engineering 132 (3), 2006, pp. 199-204

Choueiri, E.M., Lamm, R., Choueiri, B.M., Choueiri, G.M.: An International Investigation of Road Traffic Accidents. Proceedings of the Conference Road Safety in Europe and Strategic Highway (SHRP), 1995

Islam, M.N., Seneviratne, P.N.: Selection of Highway Design Parameters in the Presence of Uncertainty. Transportation Research Record 1497/1995, 1995, pp. 1-9

Bird, R. N. Hashim, I.H.: Operating Speed and Geometry Relationships for Rural Single Carriageways in the UK. 3rd International Symposium on Highway Geometric Design. Chicago, USA, 2005.

Hassan, Y., Misaghi, P., Adatta, M.: Speed-Based Measures for Evaluation of Design Consistency on Canadian Roads. 3rd International Symposium on Highway Geometric Design. Chicago, USA, 2005

Crisman, B., Marchionna, A., Perco, P., Robba, A., Roberti, R.: Operating Speed Prediction Model For Two-Lane Rural Roads. 3rd International Symposium on Highway Geometric Design. Chicago, June 29-July 1, 2005

Bella, F.: The Evaluation of Design Consistency: Predicting Models of Operating Speed on Three-Dimensional Alignment from Tests on Driving Simulator. 3rd International Symposium on Highway Geometric Design, 2005, Chicago, USA

Bella, F.: Driving simulator for speed research on two-lane rural roads. Accident Analysis and Prevention 40, 2008, pp. 1078–1087

Daniels, S., Vanrie, J., Dreesen, A., Brijs, T.: Additional road markings as an indication of speed limits: Results of a field experiment and a driving simulator study. Accident Analysis and Prevention 42, 2010, pp. 953–960

Taylor, D.R., Muthiah, S., Kulakowski, B.T., Mahoney, K.M., Porter, R.J.: Artificial Neural Network Speed Profile Model for Construction Work Zones on High-Speed Highways. Journal of Transportation Engineering 133 (3), 2007, pp. 198-204

Cruzado, I. & Donnell, E.T.: Factors Affecting Driver Speed Choice along Two-Lane Rural Highway Transition Zones. Journal of Transportation Engineering 136 (8), 2010, pp. 755-764

Dagdeviren M., Yuksel I., Kurt M.: A fuzzy analytic network process (ANP) model to identify faulty behaviour risk (FBR) in work system. Safety Science 46, 2008, pp 771–783

Grassi, A., Gamberini, R., Mora, C., Rimini, B.: A fuzzy multi-attribute model for risk evaluation in workplaces. Safety Science 47, 2009, pp 707–716

Papoulis, A., Pillai, S.U.: Probability, Random Variables and Stochastic Processes. McGraw-Hill, NY (USA), 2002

Dorsey, D.W., Coovert, M.D.: Mathematical modeling of decision making: a soft and fuzzy approach to capturing hard decisions. Human Factors 45, 2003, pp. 117-135

Goldenbeld, C., van Schagen, I.: The credibility of speed limits on 80 km/h rural roads: The effects of road and person(ality) characteristics. Accident Analysis and Prevention 39, 2007, pp. 1121–1130

D’Andrea, A., Pellegrino, O.: Il modello Fuzzy per lo studio delle velocita operative. Strade & Autostrade, nov.-dic. 2010, pp. 2-6

Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machines Studies. 7, 1974, pp. 1–13

Antonelli, M., Ducange, P., Lazzerini, B., Marcelloni, F.: Learning concurrently partition granularities and rule bases of Mamdani fuzzy systems in a multi-objective evolutionary frame work. International Journal of Approximate Reasoning 50, 2009, pp. 1066–1080

Lin, C.T. & Lee, C.S.G.: Neuro fuzzy systems. Prentice Hall, 1996

Sarimveis, H., Alexandridis, A., Bafas, G.: A fast training algorithm for RBF networks based on subtractive clustering. Neurocomputing 51, 2003, pp. 501 – 505.

Chiu, S.L.: Selecting Input Variables for Fuzzy Models, Journal of Intelligent & Fuzzy Systems 4 (4), 1996, pp. 243-256

Li, H., Shen, L.Y., Love, P.E.D.: ANN-based mark-up estimation system with self-explanatory capacities, Journal of Construction, Engineering and Management 125 (3), 1999, 185-189

How to Cite
D’Andrea A, Pellegrino O. Application of Fuzzy Techniques for Determining the Operating Speed Based on Road Geometry. Promet [Internet]. 1 [cited 2023Jun.4];24(3):203-14. Available from: