NDLI: Joint distribution of distances to the first and the second nearest facilities

Content Provider	Springer Nature Link
Author	Miyagawa, Masashi
Copyright Year	2010
Abstract	This paper derives the joint distribution of the distances to the first and the second nearest points for regular and random patterns. Distance is measured as the Euclidean and the rectilinear distances on a continuous plane. The joint distribution extends the kth nearest distance distribution of previous works. The kth nearest distance distribution only shows how the distance to the kth nearest point is distributed, whereas the joint distribution provides the relationship between the distances. An application of the joint distribution can be found in a facility location problem with non-closest facility service where the distance to the second nearest facility is also important. The joint distribution that allows us to examine the first and the second nearest distances simultaneously is useful for evaluating the reliability of facility location when some of the existing facilities are closed. The joint distribution of the road network distances is also obtained to confirm that the model on a continuous plane can be applied to actual road networks.
Starting Page	209
Ending Page	222
Page Count	14
File Format	PDF
ISSN	14355930
Journal	Journal of Geographical Systems
Volume Number	14
Issue Number	2
e-ISSN	14355949
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-11-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Location Reliability Nearest neighbour distance Point pattern Simulation and Modeling Computer Application in Social and Behavioral Sciences Regional/Spatial Science Landscape/Regional and Urban Planning Geographical Information Systems/Cartography Quantitative Geography
Content Type	Text
Resource Type	Article
Subject	Earth-Surface Processes Geography, Planning and Development Economics and Econometrics

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