The Computability of the Distribution of the Nearest Neighbour Distance on a Network

Hidehiko Yomono · Theory and Applications of GIS · 1993

In GIS field, road networks have been studied mainly from the view point of traffic flows or tranportation problems. This paper regards a road network as aspaceitself where geographic objects are located rather than as a component of a geographic space. Some objects can be located only along roads, especiallyin an urban area. Even in this case some researchers think that a plane can be used as a substitute for a network and it is an extra work to take account of network. This paper shows that some computations on a network are quite practical and easier rather than those on a plane. First the computation of the distribution about the nearest neighbour distance for given objects is shown.Then the computability on a stochastic model is examined.

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