TECHNICAL PAPERS
Aug 15, 2002

Optimal Vertical Alignment Analysis for Highway Design

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Publication: Journal of Transportation Engineering
Volume 128, Issue 5

Abstract

Critical length of grade control, fixed-elevation points, and nonoverlapping of horizontal and vertical curves are three common requirements in the vertical alignment design of roads. These three forms of constraints are, however, usually not addressed in the conventional road alignment optimization analysis because of the complexity in considering them in the mathematical formulation and solution of the problem. This paper illustrates that the artificial intelligence technique of genetic algorithms can be adopted to handle these three forms of constraints effectively. The formulation of the genetic-algorithm computer program and the method of solution are explained. The validity of the optimization algorithm is verified against a dynamic programming solution. Examples are presented to illustrate the application of the genetic-algorithm program to problems involving critical length of grade requirements, fixed-elevation control, and nonoverlapping of horizontal and vertical curves. These three constraints were found to have significant effects on the computed optimal alignments and the associated construction costs.

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References

AASHTO. (1990). A policy of geometric design of highways and streets, American Association of State Highway and Transportation Officials, Washington, D.C.
Calogew, V. (1973). “Computer-aided highway design.” PhD thesis, Institute of Computer Science, Univ. of London, London.
Fwa, T. F. (1989). “Highway vertical alignment analysis by dynamic programming.” Transportation Research Record No. 1239, Transportation Research Board, Washington, D.C., 1–9.
Goh, C. J., Chew, E. P., and Fwa, T. F.(1988). “Discrete and continuous models for computation of optimal vertical highway alignment.” Transp. Res., 22 399–409.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization and machine learning, Addison-Wesley, Reading, Mass.
Haymon, R. W. (1970). “Optimization of vertical alignment for highways through mathematical programming.” Highway Research Record No. 306, Highway Research Board, Washington D.C., 1–9.
Holland, J. H. (1975). Adpatation in natural and artificial systems, Univ. of Michigan Press, Ann Arbor, Mich.
Jong, J. C. (1998). “Optimizing highway alignments with genetic algorithms.” PhD thesis, Dept. of Civil Engineering, Univ. of Maryland, College Park, Md.
Shacke, I. (1972). “Optimization of vertical alignment—a case study.” Proc., Conf. on Computer Systems in Highway Design, Royal Technical Univ., Copenhagen, Denmark, 280–290.

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Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 128Issue 5September 2002
Pages: 395 - 402

History

Received: Mar 20, 2001
Accepted: Nov 20, 2001
Published online: Aug 15, 2002
Published in print: Sep 2002

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Authors

Affiliations

T. F. Fwa, M.ASCE
Professor, Center for Transportation Research, Dept. of Civil Engineering, National Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
W. T. Chan
Associate Professor, Center for Transportation Research, Dept. of Civil Engineering, National Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Y. P. Sim
Research Assistant, Center for Transportation Research, Dept. of Civil Engineering, National Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 119260.

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