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Year 2020, Volume: 1 Issue: 1, 1104 - , 15.07.2020

Abstract

References

  • Al-Masaeid, H. R., Hamed, M., Ela, M. A., and Ghannam, A. G., (1994). “Consistency of Horizontal Alignment For Different Vehicle Classes.” Transportation Research Record 1500, Transportation Research Board, Washington, D.C., 178–183.
  • Andersson, F., (2003). “Bézier and B-spline Technology.” Umea University PhD Thesis, Umea, Sweden.
  • AASHTO, (2011). “A Policy on Geometric Design of Highway and Streets.” American Association of State Highway and Transportation Officials, Sixth Edition.
  • Banks, J. H. (2002). “Introduction to Transportation Engineering.” McGraw-Hill International Editions.
  • Ben-Arieh, D., Chang, S., Rys, M., and Zhang, G. (2004). “Geometric Modeling of Highways Using Global Positioning System Data and B-Spline Approximation.” Journal of Transportation Engineering 130 (5), 632–636.
  • Castro, M., Iglesias, L., Rodriguez-Solano, R., and Sanchez, A. J. (2006). “Geometric Modelling of Highways Using Global Positioning System (GPS) Data and Spline Approximation.” Transportation Research Part C, 14(2006) 233-243, DOI:10.1016/j.trc.2006.06.004.
  • Cheng, J. F., and Lee, Y. (2006). “Model for Three-Dimensional Highway Alignment.” Journal of Transportation Engineering – ASCE 132(12), 913-920.
  • Cheng, W. J. (2007). “Study on the Evaluation Method of Highway Alignment Comfortableness.” [M.S. thesis], Hebei University of Technology, Tianjin, China.
  • Chew, E.P., Goh, C.J., and Fwa, T.F. (1989). “Simultaneous optimization of horizontal and vertical alignments for highways.” Transportation Research Part B: Methodological 23 (5), 315–329.
  • Gang, X., GuoZhao, W., and WenYu, C. (2011). “Geometric Construction of Energy-Minimizing Bézier Curves.” Sci China Inf Sci, 54 (7), 1395-1406, doi: 10.1007/s11432-011-4294-8.
  • Gibreel, G. M., Easa, S. M., Hassan, Y., and El-Dimeery, I. A. (1999). “State of the Art of Highway Geometric Design Consistency.” Journal of Transportation Engineering, 125(4), 305-313.
  • Jha, M. K. (2003). “Criteria-Based Decision Support System for Selecting Highway Alignments.” Journal of Transportation Engineering, 129(1), 33-41.
  • Kang, M.-W., Jha, M.K., and Schonfeld, P. (2012). “Applicability of highway alignment optimization models.” Transportation Research Part C 21 (1), 257–286.
  • Kang, M. W., Shariat, S., and Jha, M. K. (2013). “New Highway Geometric Design Methods for Minimizing Vehicular Fuel Consumption and Improving Safety.” Transportation Research Part C, 31(2013) 99-111, DOI: 10.1016/j.trc.2013.03.002.
  • Kang, M. W., Yang, N., Schonfeld, P., and Jha, M.K. (2010). “Bilevel Highway Route Optimization.” Transportation Research Record No. 2197, Washington, DC, pp, 107–117.
  • Kilinc, A. S., and Baybura, T. (2012). “Determination of Minimum Horizontal Curve Radius Used in the Design of Transportation Structures, Depending on the Limit Value of Comfort Criterion Lateral Jerk.” FIG working Week 2012, TS06G – Engineering Surveying, Machine Control and Guidance, Rome, Italy, [Last accessed: 15.09.2015], available on: http://www.fig.net/pub/fig2012/papers/ts06g/TS06G_kilinc_baybura_5563.pdf.
  • Lee, Y., Tsou, Y.-R., and Liu, H.-L. (2009). “Optimization Method for Highway Horizontal Alignment Design.” Journal of Transportation Engineering – ASCE 135(4) 217-224.
  • Lorentz, G. G. (1953). “Bernstein Polynomials.” Toronto Press.
  • Meek, D.S., and Walton, D.J. (2004). “An arc spline approximation to a clothoid.” Journal of Computational and Applied Mathematics 170 (1), 59–77.
  • Veltkamp, R. C., and Wesselink, W. (1995). “Modeling 3D curves of minimal energy.” In: Eurographics 95, Maastricht, the Nethelands, 97–110
  • Yayla, N. (2011). “Karayolu Mühendisliği.” Birsen Yayınevi, İstanbul.
  • Walton, D. J., and Meek, D. S. (1996). “A Planar Cubic Bézier Spiral.” Journal of Computational and Applied Mathematics, 72(1996), p 85-100.

Highway geometric design using Bézier curve approximation

Year 2020, Volume: 1 Issue: 1, 1104 - , 15.07.2020

Abstract

Traditional highway design procedure is a trial and error process where the system manager spends a lot of time. To improve this manual process, a new method to design highways is investigated. A mathematical function called Bézier Curve is used. Highway designs have been made with both traditional and Bézier Curve methods on a level type terrain. According to results, Bézier Curve gives a shorter highway than traditional method. And, the curve radius is also larger than traditional method which help improve highway safety and drivers' comfort. So, the highway designed with Bézier Curve reduces overall roadway length and larger curve radius than traditional designed highway.

References

  • Al-Masaeid, H. R., Hamed, M., Ela, M. A., and Ghannam, A. G., (1994). “Consistency of Horizontal Alignment For Different Vehicle Classes.” Transportation Research Record 1500, Transportation Research Board, Washington, D.C., 178–183.
  • Andersson, F., (2003). “Bézier and B-spline Technology.” Umea University PhD Thesis, Umea, Sweden.
  • AASHTO, (2011). “A Policy on Geometric Design of Highway and Streets.” American Association of State Highway and Transportation Officials, Sixth Edition.
  • Banks, J. H. (2002). “Introduction to Transportation Engineering.” McGraw-Hill International Editions.
  • Ben-Arieh, D., Chang, S., Rys, M., and Zhang, G. (2004). “Geometric Modeling of Highways Using Global Positioning System Data and B-Spline Approximation.” Journal of Transportation Engineering 130 (5), 632–636.
  • Castro, M., Iglesias, L., Rodriguez-Solano, R., and Sanchez, A. J. (2006). “Geometric Modelling of Highways Using Global Positioning System (GPS) Data and Spline Approximation.” Transportation Research Part C, 14(2006) 233-243, DOI:10.1016/j.trc.2006.06.004.
  • Cheng, J. F., and Lee, Y. (2006). “Model for Three-Dimensional Highway Alignment.” Journal of Transportation Engineering – ASCE 132(12), 913-920.
  • Cheng, W. J. (2007). “Study on the Evaluation Method of Highway Alignment Comfortableness.” [M.S. thesis], Hebei University of Technology, Tianjin, China.
  • Chew, E.P., Goh, C.J., and Fwa, T.F. (1989). “Simultaneous optimization of horizontal and vertical alignments for highways.” Transportation Research Part B: Methodological 23 (5), 315–329.
  • Gang, X., GuoZhao, W., and WenYu, C. (2011). “Geometric Construction of Energy-Minimizing Bézier Curves.” Sci China Inf Sci, 54 (7), 1395-1406, doi: 10.1007/s11432-011-4294-8.
  • Gibreel, G. M., Easa, S. M., Hassan, Y., and El-Dimeery, I. A. (1999). “State of the Art of Highway Geometric Design Consistency.” Journal of Transportation Engineering, 125(4), 305-313.
  • Jha, M. K. (2003). “Criteria-Based Decision Support System for Selecting Highway Alignments.” Journal of Transportation Engineering, 129(1), 33-41.
  • Kang, M.-W., Jha, M.K., and Schonfeld, P. (2012). “Applicability of highway alignment optimization models.” Transportation Research Part C 21 (1), 257–286.
  • Kang, M. W., Shariat, S., and Jha, M. K. (2013). “New Highway Geometric Design Methods for Minimizing Vehicular Fuel Consumption and Improving Safety.” Transportation Research Part C, 31(2013) 99-111, DOI: 10.1016/j.trc.2013.03.002.
  • Kang, M. W., Yang, N., Schonfeld, P., and Jha, M.K. (2010). “Bilevel Highway Route Optimization.” Transportation Research Record No. 2197, Washington, DC, pp, 107–117.
  • Kilinc, A. S., and Baybura, T. (2012). “Determination of Minimum Horizontal Curve Radius Used in the Design of Transportation Structures, Depending on the Limit Value of Comfort Criterion Lateral Jerk.” FIG working Week 2012, TS06G – Engineering Surveying, Machine Control and Guidance, Rome, Italy, [Last accessed: 15.09.2015], available on: http://www.fig.net/pub/fig2012/papers/ts06g/TS06G_kilinc_baybura_5563.pdf.
  • Lee, Y., Tsou, Y.-R., and Liu, H.-L. (2009). “Optimization Method for Highway Horizontal Alignment Design.” Journal of Transportation Engineering – ASCE 135(4) 217-224.
  • Lorentz, G. G. (1953). “Bernstein Polynomials.” Toronto Press.
  • Meek, D.S., and Walton, D.J. (2004). “An arc spline approximation to a clothoid.” Journal of Computational and Applied Mathematics 170 (1), 59–77.
  • Veltkamp, R. C., and Wesselink, W. (1995). “Modeling 3D curves of minimal energy.” In: Eurographics 95, Maastricht, the Nethelands, 97–110
  • Yayla, N. (2011). “Karayolu Mühendisliği.” Birsen Yayınevi, İstanbul.
  • Walton, D. J., and Meek, D. S. (1996). “A Planar Cubic Bézier Spiral.” Journal of Computational and Applied Mathematics, 72(1996), p 85-100.
There are 22 citations in total.

Details

Primary Language English
Subjects Transportation Engineering
Journal Section Research Articles
Authors

Ekinhan Erişkin 0000-0002-0087-0933

Şebnem Karahançer 0000-0001-7734-2365

Serdal Terzi 0000-0002-4776-824X

Mehmet Saltan 0000-0001-6221-4918

Publication Date July 15, 2020
Submission Date June 10, 2020
Acceptance Date July 5, 2020
Published in Issue Year 2020 Volume: 1 Issue: 1

Cite

APA Erişkin, E., Karahançer, Ş., Terzi, S., Saltan, M. (2020). Highway geometric design using Bézier curve approximation. Journal of Innovative Transportation, 1(1), 1104.