Locating a distance-dependent facility on an undirected network with continuous link weights

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This paper considers two problems of locating a facility on an undirected network with a restriction imposed on maximal distance (lambda greater than or equal to 0) from the facility to weighted points that are discretely distributed over all the associated nodes but continuously distributed on all the associated links. One problem is to find a location point of a desirable facility that could serve linearly-decreasing demand generated from weighted points within a lambda-boundary along paths from the location point. The other problem is to find a location point of an undesirable facility that could inflict linearly-decreasing damage on weighted points within a lambda-boundary along paths from the location point. In the problem analysis, some optimal solution properties are found Using these properties, the solution mechanisms for both problems are derived and tested with several numerical examples.
Publisher
GORDON BREACH SCI PUBL LTD
Issue Date
1997
Language
English
Article Type
Article
Citation

ENGINEERING OPTIMIZATION, v.27, no.4, pp.341 - 366

ISSN
0305-215X
DOI
10.1080/03052159708941412
URI
http://hdl.handle.net/10203/71014
Appears in Collection
IE-Journal Papers(저널논문)
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