Distributions of rectilinear deviation distance to visit a facility

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 rectilin...

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Veröffentlicht in:European journal of operational research 2010-08, Vol.205 (1), p.106-112
1. Verfasser: Miyagawa, Masashi
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description 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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subjects Applied sciences
Correlation analysis
Exact sciences and technology
Flow demand
Location
Location Flow demand Shortest distance Nearest neighbour distance
Logistics
Nearest neighbour distance
Operational research and scientific management
Operational research. Management science
Optimization algorithms
Route optimization
Shortest distance
Studies
title Distributions of rectilinear deviation distance to visit a facility
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