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Second, the construction of switchbacks entails additional cost. One approach for preventing this has been to penalize dramatic directional changes in road alignment (Anderson & Nelson, 2004). , 2001). However, none of these previous tactics has actually been used to map curvature constraints on a mathematical graph. 1b, 16 different directions are considered in the model. At each outgoing and incoming node, the model checks all possible directional combinations. Consequently, the solution space increases by a factor of 162 = 256.

At each outgoing and incoming node, the model checks all possible directional combinations. Consequently, the solution space increases by a factor of 162 = 256. 2. 2: Curvature constraints in graph model. Link A-B is feasible whereas link B-C is not, because its road radius would be smaller than the minimum radius (rmin ). for determining whether a link is feasible or not (Fig. 2). In this study, the minimum radius has been set at 20 m for regular curves and 10 m for switchbacks. Representation of such constraints requires one physical node to be split into 16 virtual nodes.

5: Road segments of switchbacks, (a) γ central angle = 180◦ , (b) γ central angle = 220◦ . Each switchback starts and ends at regular nodes (bold point symbols). The centerline is subdivided into 6 (a) or 10 (b) respectively, intermediate sections (slim point symbols). Regular nodes are fixed whereas locations of intermediate nodes depend on the location of the center as well as γ. 2. METHODS AND MODEL DEVELOPMENT 29 layer of the geological, geotechnical subsoil (Geotype) geor efer enced data digital elevation model (DEM) mc parameters for the roadtype scalar data parameters for the geotechnical unit 1 1 Geotype (ID) Roadtype ...

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