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Ensuring multidimensional equality in public service

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  • Akoluk, Damla
  • Karsu, Özlem

Abstract

Service planning problems typically involve decisions that lead to the distribution of multiple benefits to multiple users, and hence include equality and efficiency concerns in a multidimensional way. We develop two mathematical modeling-based approaches that incorporate these concerns in such problems. The first formulation aggregates the multidimensional efficiency and equality (equitability) concerns in a biobjective model. The second formulation defines an objective function for each benefit, which maximizes the total social welfare obtained from that specific benefit distribution; this results in an n-objective model, where n is the number of benefits. We illustrate and compare these approaches on an example public service provision problem.

Suggested Citation

  • Akoluk, Damla & Karsu, Özlem, 2022. "Ensuring multidimensional equality in public service," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    • Handle: RePEc:eee:soceps:v:80:y:2022:i:c:s0038012121001683
    DOI: 10.1016/j.seps.2021.101176
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    1. Turkcan, Ayten & Zeng, Bo & Muthuraman, Kumar & Lawley, Mark, 2011. "Sequential clinical scheduling with service criteria," European Journal of Operational Research, Elsevier, vol. 214(3), pages 780-795, November.
    2. Kaynar, Nur & Karsu, Özlem, 2018. "Equitable decision making approaches over allocations of multiple benefits to multiple entities," Omega, Elsevier, vol. 81(C), pages 85-98.
    3. Lelo, Keti & Monni, Salvatore & Tomassi, Federico, 2019. "Socio-spatial inequalities and urban transformation. The case of Rome districts," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    4. de la Torre, Luis E. & Dolinskaya, Irina S. & Smilowitz, Karen R., 2012. "Disaster relief routing: Integrating research and practice," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 88-97.
    5. 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.
    6. Wlodzimierz Ogryczak & Hanan Luss & Dritan Nace & Michał Pióro, 2014. "Fair Optimization and Networks: Models, Algorithms, and Applications," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-3, September.
    7. Medaglia, Andres L. & Hueth, Darrell & Mendieta, Juan Carlos & Sefair, Jorge A., 2008. "A multiobjective model for the selection and timing of public enterprise projects," Socio-Economic Planning Sciences, Elsevier, vol. 42(1), pages 31-45, March.
    8. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2011. "The Price of Fairness," Operations Research, INFORMS, vol. 59(1), pages 17-31, February.
    9. Karsu, Özlem & Morton, Alec, 2014. "Incorporating balance concerns in resource allocation decisions: A bi-criteria modelling approach," Omega, Elsevier, vol. 44(C), pages 70-82.
    10. Naldi, Maurizio & Nicosia, Gaia & Pacifici, Andrea & Pferschy, Ulrich, 2019. "Profit-fairness trade-off in project selection," Socio-Economic Planning Sciences, Elsevier, vol. 67(C), pages 133-146.
    11. Cortinhal, Maria João & Mourão, Maria Cândida & Nunes, Ana Catarina, 2016. "Local search heuristics for sectoring routing in a household waste collection context," European Journal of Operational Research, Elsevier, vol. 255(1), pages 68-79.
    12. Nicosia, Gaia & Pacifici, Andrea & Pferschy, Ulrich, 2017. "Price of Fairness for allocating a bounded resource," European Journal of Operational Research, Elsevier, vol. 257(3), pages 933-943.
    13. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    14. J. N. Hooker & H. P. Williams, 2012. "Combining Equity and Utilitarianism in a Mathematical Programming Model," Management Science, INFORMS, vol. 58(9), pages 1682-1693, September.
    15. Mai, Feng & Fry, Michael J. & Raturi, Amitabh S., 2016. "Supply-chain performance anomalies: Fairness concerns under private cost informationAuthor-Name: Qin, Fei," European Journal of Operational Research, Elsevier, vol. 252(1), pages 170-182.
    16. Anthony F. Shorrocks, 1983. "The Impact of Income Components on the Distribution of Family Incomes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 311-326.
    17. Kostreva, Michael M. & Ogryczak, Wlodzimierz & Wierzbicki, Adam, 2004. "Equitable aggregations and multiple criteria analysis," European Journal of Operational Research, Elsevier, vol. 158(2), pages 362-377, October.
    18. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    19. Karsu, Özlem & Morton, Alec & Argyris, Nikos, 2018. "Capturing preferences for inequality aversion in decision support," European Journal of Operational Research, Elsevier, vol. 264(2), pages 686-706.
    20. Messinger, Paul R., 2016. "The role of fairness in competitive supply chain relationships: An experimental studyAuthor-Name: Choi, Sungchul," European Journal of Operational Research, Elsevier, vol. 251(3), pages 798-813.
    21. Yoshiaki Ohsawa & Naoya Ozaki & Frank Plastria, 2008. "Equity-Efficiency Bicriteria Location with Squared Euclidean Distances," Operations Research, INFORMS, vol. 56(1), pages 79-87, February.
    22. Christopher N. Gross & Jens O. Brunner & Manfred Blobner, 2019. "Hospital physicians can’t get no long-term satisfaction – an indicator for fairness in preference fulfillment on duty schedules," Health Care Management Science, Springer, vol. 22(4), pages 691-708, December.
    23. Jagtenberg, C.J. & Mason, A.J., 2020. "Improving fairness in ambulance planning by time sharing," European Journal of Operational Research, Elsevier, vol. 280(3), pages 1095-1107.
    24. Alfredo Marín & Stefan Nickel & Sebastian Velten, 2010. "An extended covering model for flexible discrete and equity location problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 125-163, February.
    25. Ogryczak, Wlodzimierz & Sliwinski, Tomasz, 2003. "On solving linear programs with the ordered weighted averaging objective," European Journal of Operational Research, Elsevier, vol. 148(1), pages 80-91, July.
    26. Özlem Karsu & Hale Erkan, 2020. "Balance in resource allocation problems: a changing reference approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 297-326, March.
    27. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    28. T R P Ramos & R C Oliveira, 2011. "Delimitation of service areas in reverse logistics networks with multiple depots," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1198-1210, July.
    29. Acuna, Jorge A. & Zayas-Castro, José L. & Charkhgard, Hadi, 2020. "Ambulance allocation optimization model for the overcrowding problem in US emergency departments: A case study in Florida," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    30. Burak Bilgin & Patrick Causmaecker & Benoît Rossie & Greet Vanden Berghe, 2012. "Local search neighbourhoods for dealing with a novel nurse rostering model," Annals of Operations Research, Springer, vol. 194(1), pages 33-57, April.
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