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Equality Measures And Facility Location

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  • Gordon F. Mulligan

Abstract

ABSTRACT A review of the literature indicates that fairly simplistic measures of equality in travel distances are normally used in facility location studies. Two popular criteria, those of minimizing the maximal distance and the range, are known to be sensitive to the extreme values (locations of users) of the problem. This paper recommends that distributional equality should be used instead in most locational studies. Using a simple spatial setting, the paper offers a comparative analysis of equality curves based on the following measures: Gini coefficient, mean deviation, Hoover's concentration index, variance (standard deviation), and Theil's entropy index.

Suggested Citation

  • Gordon F. Mulligan, 1991. "Equality Measures And Facility Location," Papers in Regional Science, Wiley Blackwell, vol. 70(4), pages 345-365, October.
    • Handle: RePEc:bla:presci:v:70:y:1991:i:4:p:345-365
    DOI: 10.1111/j.1435-5597.1991.tb01737.x
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    Cited by:

    1. Nilay Noyan & Burcu Balcik & Semih Atakan, 2016. "A Stochastic Optimization Model for Designing Last Mile Relief Networks," Transportation Science, INFORMS, vol. 50(3), pages 1092-1113, August.
    2. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    3. Chong Hyun Park & Gemma Berenguer, 2020. "Supply Constrained Location‐Distribution in Not‐for‐Profit Settings," Production and Operations Management, Production and Operations Management Society, vol. 29(11), pages 2461-2483, November.
    4. Haris Aziz & Alexander Lam & Barton E. Lee & Toby Walsh, 2021. "Strategyproof and Proportionally Fair Facility Location," Papers 2111.01566, arXiv.org, revised Nov 2023.
    5. Cruz Lopez-de-los-Mozos, M. & Mesa, Juan A., 2001. "The maximum absolute deviation measure in location problems on networks," European Journal of Operational Research, Elsevier, vol. 135(1), pages 184-194, November.
    6. John I. Carruthers & Gudmundur F. Úlfarsson, 2008. "Does `Smart Growth' Matter to Public Finance?," Urban Studies, Urban Studies Journal Limited, vol. 45(9), pages 1791-1823, August.
    7. Nilay Noyan & Gökçe Kahvecioğlu, 2018. "Stochastic last mile relief network design with resource reallocation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 187-231, January.
    8. Luo, Weicong & Yao, Jing & Mitchell, Richard & Zhang, Xiaoxiang & Li, Wenqiang, 2022. "Locating emergency medical services to reduce urban-rural inequalities," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    9. Burkey, M.L. & Bhadury, J. & Eiselt, H.A., 2012. "A location-based comparison of health care services in four U.S. states with efficiency and equity," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 157-163.
    10. Huang, Michael & Smilowitz, Karen & Balcik, Burcu, 2012. "Models for relief routing: Equity, efficiency and efficacy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 2-18.
    11. Gordon Mulligan & Mark Partridge & John Carruthers, 2012. "Central place theory and its reemergence in regional science," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(2), pages 405-431, April.
    12. Liao, Cong & Scheuer, Bronte & Dai, Teqi & Tian, Yuan, 2020. "Optimizing the spatial assignment of schools to reduce both inequality of educational opportunity and potential opposition rate through introducing random mechanism into proximity-based system," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).

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