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Inequality measures and equitable locations

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  • Włodzimierz Ogryczak

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Abstract

While making location decisions, the distribution of distances (outcomes) among the service recipients (clients) is an important issue. In order to comply with the minimization of distances as well as with an equal consideration of the clients, mean-equity approaches are commonly used. They quantify the problem in a lucid form of two criteria: the mean outcome representing the overall efficiency and a scalar measure of inequality of outcomes to represent the equity (fairness) aspects. The mean-equity model is appealing to decision makers and allows a simple trade-off analysis. On the other hand, for typical dispersion indices used as inequality measures, the mean-equity approach may lead to inferior conclusions with respect to the distances minimization. Some inequality measures, however, can be combined with the mean itself into optimization criteria that remain in harmony with both inequality minimization and minimization of distances. In this paper we introduce general conditions for inequality measures sufficient to provide such an equitable consistency. We verify the conditions for the basic inequality measures thus showing how they can be used in location models not leading to inferior distributions of distances. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Włodzimierz Ogryczak, 2009. "Inequality measures and equitable locations," Annals of Operations Research, Springer, vol. 167(1), pages 61-86, March.
  • Handle: RePEc:spr:annopr:v:167:y:2009:i:1:p:61-86:10.1007/s10479-007-0234-9
    DOI: 10.1007/s10479-007-0234-9
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    Cited by:

    1. repec:spr:annopr:v:262:y:2018:i:1:d:10.1007_s10479-016-2322-1 is not listed on IDEAS
    2. Núñez Ares, José & de Vries, Harwin & Huisman, Dennis, 2016. "A column generation approach for locating roadside clinics in Africa based on effectiveness and equity," European Journal of Operational Research, Elsevier, vol. 254(3), pages 1002-1016.
    3. repec:eee:ejores:v:264:y:2018:i:2:p:686-706 is not listed on IDEAS
    4. repec:spr:annopr:v:246:y:2016:i:1:d:10.1007_s10479-014-1617-3 is not listed on IDEAS

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