Definitions and basic properties of the Voronoi diagram generalizations of the Voronoi diagram algorithms for computing Voronoi diagrams poisson Voronoi diagrams spatial interpolation models of spatial processes point pattern analysis locational optimization through Voronoi diagrams.

Spatial tessellations. Concepts and Applications of Voronoi diagrams

The objectives underlying location decisions can be various. Among them, equity objectives have received an increasing attention in recent years, especially in the applications related to the public sector, where fair distributions of accessibility to the services should be guaranteed among users. In the literature a huge number of equality measures have been proposed; then, the problem of selecting the most appropriate one to be adopted in the decision-making processes is crucial. For this reason, many authors focused on the analysis of properties that equality measures should satisfy in order to be considered suitable. Most of the proposed properties are too general and related solely to the mathematical formulation of the measure itself (i.e., simpleness, impartiality, invariance). Hence, they do not give any indications about the behaviour of such measures in the optimization contexts. In this work, we propose some new properties to be associated to equality measures in order to describe characteristics which may be useful to drive optimization procedures in the search of optimal (or near-optimal) solutions. To this aim some empirical analyses have been performed in order to understand the typical behavior of remarkable measures in presence of a uniform distribution of demand points in a regular location spaces.

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Equality measures properties for location problems

On single-source capacitated facility location with cost and fairness objectives

Studies of fear of crime in Europe associate country-level income inequality with fear of crime. However, by considering only income inequality these studies do not account for the effects of pover...

Income Inequality, Poverty, and Fear of Crime in Europe:

Unlike in Western cities, where the poor population tends to be concentrated in the deprived inner-city areas and experiences low accessibility, the geographic distribution of the low-income population in Chinese cities might be relatively dispersed across accessibility-rich and accessibility-poor areas. This study aims to examine the relationships between income disparity and accessibility inequality in Chinese cities, as well as to identify the particular group of low-income residents who are at risk of inaccessibility. We conducted an empirical study in the city of Guangzhou, China, based on the population census, points of interest, and road network data and measured accessibility based on the three-step floating catchment area (3SFCA) method. Results reveal that although the essential services are significantly concentrated in the central-city areas, the geographic distribution of the low-income population is considerably dispersed across the central-city and suburban areas, thereby indicating the po...

Accessibility Inequality and Income Disparity in Urban China: A Case Study of Guangzhou

The Quintile Share Ratio in location analysis

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The Quintile Share Ratio in location analysis