Rectilinear distance to a facility in the presence of a square barrier

Masashi Miyagawa ()

Annals of Operations Research, 2012, vol. 196, issue 1, 443-458

Abstract: This paper derives analytical expressions for the rectilinear distance to a facility in the presence of a square barrier. The distribution of the barrier distance is derived for two regular patterns of facilities: square and diamond lattices. This distribution, which provides all the information about the barrier distance, will be useful for facility location problems with barriers and reliability analysis of facility location. The distribution of the barrier distance demonstrates how the location and the size of the barrier affect the barrier distance. A numerical example shows that the total barrier distance increases as the barrier gets closer to a facility, whereas the maximum barrier distance increases as the barrier becomes greater in size. Copyright Springer Science+Business Media, LLC 2012

Keywords: Location; Barrier distance; Shortest distance; Flexible allocation; Fixed allocation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-012-1063-z

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