Discrete and continuous models for computation of optimal vertical highway alignment |
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| Institution: | 1. Department of Anesthesiology, Xuanwu Hospital, Capital Medical University, NO 45 Chang Chun Road, Xi Cheng District, Beijing 100053, P. R. China;2. Department of Neurological Surgery, Wayne State University School of Medicine, Detroit, MI 48201, USA;1. Department of Cardiology, Fujita Health University School of Medicine, Toyoake, Japan;2. Division of Bioengineering, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan;3. Mayo Clinic and Mayo Foundation, Rochester, Minnesota;4. Department of Cardiology, Hekinan City Hospital, Hekinan, Japan;5. Department of Medical Education, Nagoya City University Graduate School of Medical Sciences, Nagoya, Japan |
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| Abstract: | This paper describes a dynamic programming model and a state parametrization model formulated to solve two-dimensional highway location problems. A numerical example is presented to compare the solutions obtained using the two models. Features of the two approaches, with respect to their applicability in solving three-dimensional highway location problems in particular, are highlighted. This study forms the basis of a three-dimensional model that computes optimal horizontal and vertical alignments simultaneously. |
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