A variational approach to optimal route location
Year: 1973
Type: dissertation
Abstract: This thesis describes the methods and results of an investigation into the applicability and usefulness of a variational approach to the determination of an optimal route location. The utilization of extremal field (dynamic programming) and variational calculus procedures for optimising staged systems, described by non-linear difference equations, is discussed. The route location problem is then formulated in such a manner that these two methods can be employed during the process of solving this problem, and a complex cost function for a road is derived, a present worth approach being used. A variational approach involving the utilization of the extremal field procedure (to search a broad region and produce bands of interest) and the variational calculus procedure (to explore a band of interest and generate location bands) is formulated. The application of this variational approach to a real road re-alignment problem is described and the results are compared with those obtained independently via a traditional computer-aided approach. The worth of the proposed variational approach is then assessed.
DOI: 10.26021/2494
Author: Nicholson, Alan J.
Language: English
Subfield: Transportation
Field: Social Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W1564133845