Distributions of rectilinear deviation distance to visit a facility

Distributions of rectilinear deviation distance to visit a facility

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Article ID: iaor20101873
Volume: 205
Issue: 1
Start Page Number: 106
End Page Number: 112
Publication Date: Aug 2010
Journal: European Journal of Operational Research
Authors:
Abstract:

This paper deals with the deviation distance to visit a facility from pre-planned routes. Facilities are approximated by both points and lines on a continuous plane. To see the relationship between the deviation distance and the availability of facilities, we derive the distributions of the rectilinear deviation distance for regular and random patterns of facilities. These distributions demonstrate how the shortest distance and the relative position of origin and destination affect the deviation distance. We also show that the deviation distance is a generalization of the nearest neighbour distance.

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