Some geometric properties of Manhattan field service territories.

Author(s)
Youngman, J.H.R.
Year
Abstract

In the process of optimising the partition of a field service region into territories it is necessary to estimate the expected distance between two random points in a territory. This paper considers territories with a fine rectangular street grid and no barriers to travel so that the distance between any two points is calculated using the Manhattan or rectilinear metric. If all that is known of the territory is its area, then the expected distance between two randomly chosen points can be estimated by assuming that the territory is square. It is demonstrated that this estimate is quite robust for fairly wide deviations in compactness and convexity. Finally, it is shown that these conventional descriptors of shape are not adequate predictors of differences in travel distances. (a) For the covering entry of this conference, please see ITRD abstract no. E211903.

Request publication

6 + 2 =
Solve this simple math problem and enter the result. E.g. for 1+3, enter 4.

Publication

Library number
C 33934 (In: C 33911 CD-ROM) /72 /71 /73 / ITRD E211942
Source

In: CAITR-2004 : [proceedings of the] 26th Conference of the Australian Institutes of Transport Research “Committing to research and development for the next generation”, Melbourne, Australia, 8-10 December 2004, 8 p., 8 ref.

Our collection

This publication is one of our other publications, and part of our extensive collection of road safety literature, that also includes the SWOV publications.