an:04083336
Zbl 0662.90026
Maimon, Oded
An algorithm for the Lorenz measure in locational decisions on trees
EN
J. Algorithms 9, No. 4, 583-596 (1988).
00169984
1988
j
90B05 68Q25
Lorenz measure; weighted tree; equity location measure; optimal location
The Lorenz measure on a weighted tree is defined as an equity location measure describing the difference between the percentage of the total travel distance to a location and the percentage of population which uses it (as measured by the weights).
This paper gives an insight into the behaviour of this very sensitive measure together with some properties. Based on these properties, an algorithm is presented for finding an optimal location (with respect to the Lorenz equity measure). Some numerical examples are given.
P.Loridan