Technical Papers
Apr 28, 2012

Optimizing Longitudinal Alignment in Railway with Regard to Construction and Operating Costs

Publication: Journal of Transportation Engineering
Volume 138, Issue 11

Abstract

Designing baseline or vertical alignment in railways greatly depends on the designer’s experience. An inaccurate design imposes unreasonable costs during construction and operations. This paper presents a program to find the best vertical alignment for a track with a given horizontal layout. First, the vertical alignment is formulated using mathematical equations, and then an algorithm is developed to produce its geometric configuration. Construction and operating costs, which are sensitive to gradient changes, are expressed as vertical alignment variables and included in the model. A direct search method is employed to solve the objective function, and a genetic algorithm encodes solution algorithms in a program, whereas certain heuristic operators are utilized to cover operational situations. The program also provides railway engineers and planners with practical information on the resulting alignment such as time and speed graph, total traction force, and block capacity. Moreover, the model is evaluated using a real example to verify the algorithms’ ability to find the optimal alignment.

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References

De Smith, M. J. (2006). “Determination of gradient and curvature constrained optimal paths.” Comput.-Aided Civ. Inf. Eng., 21(1), 24–38.
Easa, S. (1988). “Selection of roadway grades that minimize earthwork cost using linear programming.” Transportation Research Part A, No. 2, Transportation Research Board, Washington, DC, 121–136.
Fwa, T., Chan, W., and Sim, Y. (2002). “Optimal vertical alignment analysis for highway design.” J. Transp. Eng., 128(5), 395–402.
Goh, C., Chew, E., and Fwa, T. (1988). “Discrete and continuous model for computation of optimal vertical highway alignment.” Transportation Research Part B, No. 6, Transportation Research Board, Washington, DC, 399–409.
Goktepe, A. B., Lav, A. H., and Altun, S. (2005). “Dynamic optimization algorithm for vertical alignment of highways.” Math. Comput. Appl., 10(3), 341–350.
Hay, W. (1982). Railroad engineering, 2nd Ed., Wiley, New York.
Jha, M., and Schonfeld, P. (2004). “A highway alignment optimization model using geographic information systems.” Transportation Research Part A 38, Transportation Research Board, Washington, DC, 455–481.
Jong, J.-C., and Schonfeld, P. (2000). “Cost function for optimizing highway alignment.” Transportation Research Record 1657, Transportation Research Board, Washington, DC, 58–67.
Kang, M.-W., Jha, M., and Schonfeld, P. (2012). “Applicability of highway alignment optimization models.” Transp. Res. Part C, 21, 257–286.
Lee, Y., and Cheng, J. (2001a). “A model for calculating optimal vertical alignments of interchanges.” Transp. Res. Part B, 35, 423–445.
Lee, Y., and Cheng, J. (2001b). “Optimizing highway grades to minimize cost and maintain traffic speed.” J. Transp. Eng., 127(4), 303–309.
Michalewicz, Z. (1996). Genetic algorithms + data structure = Evolution programs, 3rd Ed., Springer-Verlag, New York.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 138Issue 11November 2012
Pages: 1388 - 1395

History

Received: Jan 14, 2012
Accepted: Apr 25, 2012
Published online: Apr 28, 2012
Published in print: Nov 1, 2012

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Authors

Affiliations

Mostafa Bababeik [email protected]
Researcher, Dept. of Civil Engineering, K. N. Tossi Univ. of Technology, Tehran, Iran (corresponding author). E-mail: [email protected]
M. Saeed Monajjem
Associate Professor, Dept. of Civil Engineering, K. N. Tossi Univ. of Technology, Tehran, Iran.

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