Quadratic Optimization Models for Balancing Preferential Access and Fairness: Formulations and Optimality Conditions

References

• Abbasi M, Bhaskara A, Venkatasubramanian S (2021) Fair clustering via equitable group representations. Proc. 2021 ACM Conf. Fairness Accountability Transparency (Association for Computing Machinery, New York), 504–514.Google Scholar
• Bayerisches Landesamt für Umwelt, ed. (2015) Wertstoffhof 2020–Getrennthaltungsgebot und Novelle des ElektroG, UmweltSpezial. Accessed August 10, 2021, https://www.bestellen.bayern.de/application/eshop_app000009?SID=62794461.Google Scholar
• Bayerisches Landesamt für Umwelt (2020) Hausmüll in Bayern–Bilanzen 2019: Informationen aus der Abfallwirtschaft. Accessed April 7, 2021, https://www.abfallbilanz.bayern.de/doc/2019/Abfallbilanz2019.pdf.Google Scholar
• Bayerisches Staatsministerium für Umwelt und Verbraucherschutz, Bayerisches Landesamt für Umwelt (2021) Abfallratgeber Bayern. Accessed April 4, 2022, https://www.abfallratgeber.bayern.de/.Google Scholar
• Berman O, Drezner Z, Tamir A, Wesolowsky GO (2009) Optimal location with equitable loads. Ann. Oper. Res. 167(1):307–325.Crossref, Google Scholar
• Bertsimas D, Farias VF, Trichakis N (2011) The price of fairness. Oper. Res. 59(1):17–31.Link, Google Scholar
• Bourguignon D (2015) Understanding waste management: Policy challenges and opportunities. Report, European Parliamentary Research Service, Strasbourg, France.Google Scholar
• Cappanera P (1999) A survey on obnoxious facility location problems. Technical Report TR-99-11, University of Pisa, Pisa, Italy.Google Scholar
• Casella G (2002) Statistical Inference, 2nd ed. (Thomson Learning, Pacific Grove, CA).Google Scholar
• Erkut E, Neuman S (1989) Analytical models for locating undesirable facilities. Eur. J. Oper. Res. 40(3):275–291.Crossref, Google Scholar
• Fischetti M, Ljubić I, Sinnl M (2017) Redesigning Benders decomposition for large-scale facility location. Management Sci. 63(7):2146–2162.Link, Google Scholar
• Ghadiri M, Samadi S, Vempala S (2021) Socially fair k-means clustering. Proc. 2021 ACM Conf. Fairness Accountability Transparency (Association for Computing Machinery, New York), 438–448.Google Scholar
• Huang HC, Singh B, Morton DP, Johnson GP, Clements B, Meyers LA (2017) Equalizing access to pandemic influenza vaccines through optimal allocation to public health distribution points. PLoS One 12(8):e0182720.Crossref, Google Scholar
• Ibrahim MA (2020) Risk of spontaneous and anthropogenic fires in waste management chain and hazards of secondary fires. Resources Conservation Recycling 159:104852.Crossref, Google Scholar
• Jones SG, Ashby AJ, Momin SR, Naidoo A (2010) Spatial implications associated with using Euclidean distance measurements and geographic centroid imputation in healthcare research. Health Services Res. 45(1):316–327.Crossref, Google Scholar
• Kaplan S (1974) Application of programs with maximin objective functions to problems of optimal resource allocation. Oper. Res. 22(4):802–807.Link, Google Scholar
• Kaza S, Yao LC, Bhada-Tata P, van Woerden F (2018) What a waste 2.0: A global snapshot of solid waste management to 2050. Report, World Bank, Washington, DC.Google Scholar
• Kelly FP, Maulloo AK, Tan DKH (1998) Rate control for communication networks: Shadow prices, proportional fairness and stability. J. Oper. Res. Soc. 49(3):237–252.Crossref, Google Scholar
• Klotz E, Newman AM (2013) Practical guidelines for solving difficult linear programs. Surveys Oper. Res. Management Sci. 18(1–2):1–17.Crossref, Google Scholar
• Marín A (2011) The discrete facility location problem with balanced allocation of customers. Eur. J. Oper. Res. 210(1):27–38.Crossref, Google Scholar
• Marsh MT, Schilling DA (1994) Equity measurement in facility location analysis: A review and framework. Eur. J. Oper. Res. 74(1):1–17.Crossref, Google Scholar
• Morell D (1984) Siting and the politics of equity. Hazardous Waste 1(4):555–571.Crossref, Google Scholar
• Ostrowski J, Anjos MF, Vannelli A (2012) Tight mixed integer linear programming formulations for the unit commitment problem. IEEE Trans. Power Systems 27(1):39–46.Crossref, Google Scholar
• Pióro M, Medhi D (2004) Fair networks. Routing, Flow, and Capacity Design in Communication and Computer Networks, The Morgan Kaufmann Series in Networking (Elsevier, Amsterdam), 307–349.Crossref, Google Scholar
• Pirkul H, Schilling DA (1988) The siting of emergency service facilities with workload capacities and backup service. Management Sci. 34(7):896–908.Link, Google Scholar
• Plastria F, Carrizosa E (1999) Undesirable facility location with minimal covering objectives. Eur. J. Oper. Res. 119(1):158–180.Crossref, Google Scholar
• ReVelle CS, Swain RW (1970) Central facilities location. Geographical Anal. 2(1):30–42.Crossref, Google Scholar
• Risanger S, Singh B, Morton D, Meyers LA (2021) Selecting pharmacies for COVID-19 testing to ensure access. Healthcare Management Sci. 24(2):330–338.Crossref, Google Scholar
• Schmitt C, Singh B (2023) Quadratic optimization models for balancing preferential access and fairness: Formulations and optimality conditions. https://dx.doi.org/10.1287/ijoc.2022.0308.cd, https://github.com/INFORMSJoC/2022.0308.Google Scholar
• Siegel Z, Rajaram K (2021) p-median problems and solution strategies. Report, University of California, Los Angeles.Google Scholar
• Singh B (2020) Fairness criteria for allocating scarce resources. Optim. Lett. 14(6):1533–1541.Crossref, Google Scholar
• Suche-postleitzahlorg (2020) Karten von Deutschland. Accessed May 16, 2022, https://www.suche-postleitzahl.org/plz-karte-erstellen.Google Scholar
• Tversky A, Simonson I (1993) Context-dependent preferences. Management Sci. 39(10):1179–1189.Link, Google Scholar
• Wolsey LA (1998) Integer Programming, Wiley Interscience Series in Discrete Mathematics and Optimization, vol. A (Wiley, New York).Google Scholar
• Yekeen TA, Xu X, Zhang Y, Wu Y, Kim S, Reponen T, Dietrich KN, Ho SM, Chen A, Huo X (2016) Assessment of health risk of trace metal pollution in surface soil and road dust from e-waste recycling area in China. Environment. Sci. Pollution Res. Internat. 23(17):17511–17524.Crossref, Google Scholar