Network Accuracy: the impact of the 3D distances on location-allocation

Network Accuracy: the impact of the 3D distances on location-allocation
Emeka Chukwusa1, Alexis Comber1 and Chris Brunsdon2

1.Department of Geography, University of Leicester, Leicester, LE1 7RH, UK (ec102@le.ac.uk, ajc36@le.ac.uk)
2.Department of Geography, University of Liverpool, Liverpool, L69 3BK, UK (Christopher.Brunsdon@liverpool.ac.uk)

Abstract: Distance metrics derived from road networks are used in location-allocation models to support facility planning. Typically, road networks model 2-dimensional distance (i.e. over X and Y dimensions). This paper introduces the notion of ‘3D distance’ that incorporates elevation as the Z-dimension in the network. A comparison of distance modelled in 3D networks with that in 2D networks demonstrates the impact of 3D distance with that each distance type resulting in different sets of optimal locations given same P-median problem.

Keywords: Location-allocation, P-median, networks

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