A variational approach to optimal route location
| dc.contributor.author | Nicholson, Alan J. | en |
| dc.date.accessioned | 2011-09-15T21:40:12Z | |
| dc.date.available | 2011-09-15T21:40:12Z | |
| dc.date.issued | 1973 | en |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/10092/5497 | |
| dc.identifier.uri | http://dx.doi.org/10.26021/2494 | |
| dc.language.iso | en | |
| dc.publisher | University of Canterbury. Civil Engineering | en |
| dc.relation.isreferencedby | NZCU | en |
| dc.rights | Copyright Alan J. Nicholson | en |
| dc.rights.uri | https://canterbury.libguides.com/rights/theses | en |
| dc.title | A variational approach to optimal route location | en |
| dc.type | Theses / Dissertations | |
| thesis.degree.discipline | Civil Engineering | en |
| thesis.degree.grantor | University of Canterbury | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | Doctor of Philosophy | en |
| uc.bibnumber | 387927 | en |
| uc.college | Faculty of Engineering | en |
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