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Inequity averse optimization in operational research

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  • Karsu, Özlem
  • Morton, Alec

Abstract

There are many applications across a broad range of business problem domains in which equity is a concern and many well-known operational research (OR) problems such as knapsack, scheduling or assignment problems have been considered from an equity perspective. This shows that equity is both a technically interesting concept and a substantial practical concern. In this paper we review the operational research literature on inequity averse optimization. We focus on the cases where there is a tradeoff between efficiency and equity.

Suggested Citation

  • Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:2:p:343-359
    DOI: 10.1016/j.ejor.2015.02.035
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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. Patrizia Beraldi & Gianpaolo Ghiani & Roberto Musmanno & Francesca Vocaturo, 2010. "Efficient Neighborhood Search For The Probabilistic Multi-Vehicle Pickup And Delivery Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(03), pages 301-314.
    3. Gordon F. Mulligan, 1991. "Equality Measures And Facility Location," Papers in Regional Science, Wiley Blackwell, vol. 70(4), pages 345-365, October.
    4. 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.
    5. Hamsa Balakrishnan & Bala G. Chandran, 2010. "Algorithms for Scheduling Runway Operations Under Constrained Position Shifting," Operations Research, INFORMS, vol. 58(6), pages 1650-1665, December.
    6. Hanan Luss, 2008. "An Equitable Bandwidth Allocation Model for Video-on-Demand Networks," Networks and Spatial Economics, Springer, vol. 8(1), pages 23-41, March.
    7. Giovanni Andreatta & Lorenzo Brunetta & Guglielmo Guastalla, 2000. "From Ground Holding to Free Flight: An Exact Approach," Transportation Science, INFORMS, vol. 34(4), pages 394-401, November.
    8. Batta, Rajan & Lejeune, Miguel & Prasad, Srinivas, 2014. "Public facility location using dispersion, population, and equity criteria," European Journal of Operational Research, Elsevier, vol. 234(3), pages 819-829.
    9. Douglas Smith, L. & Nauss, Robert M. & Mattfeld, Dirk Christian & Li, Jian & Ehmke, Jan F. & Reindl, M., 2011. "Scheduling operations at system choke points with sequence-dependent delays and processing times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 669-680, September.
    10. Caballero, Rafael & Gonzalez, Mercedes & Guerrero, Flor M & Molina, Julian & Paralera, Concepcion, 2007. "Solving a multiobjective location routing problem with a metaheuristic based on tabu search. Application to a real case in Andalusia," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1751-1763, March.
    11. H K Smith & P R Harper & C N Potts, 2013. "Bicriteria efficiency/equity hierarchical location models for public service application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(4), pages 500-512, April.
    12. Masashi Miyagawa, 2009. "Optimal hierarchical system of a grid road network," Annals of Operations Research, Springer, vol. 172(1), pages 349-361, November.
    13. Avijit Mukherjee & Mark Hansen, 2007. "A Dynamic Stochastic Model for the Single Airport Ground Holding Problem," Transportation Science, INFORMS, vol. 41(4), pages 444-456, November.
    14. Rothschild, Michael & Stiglitz, Joseph E., 1973. "Some further results on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 188-204, April.
    15. Bertsimas, Dimitris & Gupta, Shubham & Lulli, Guglielmo, 2014. "Dynamic resource allocation: A flexible and tractable modeling framework," European Journal of Operational Research, Elsevier, vol. 236(1), pages 14-26.
    16. Yoshiaki Ohsawa & Kazuki Tamura, 2003. "Efficient Location for a Semi-Obnoxious Facility," Annals of Operations Research, Springer, vol. 123(1), pages 173-188, October.
    17. Wu, Di & Yin, Yafeng & Lawphongpanich, Siriphong & Yang, Hai, 2012. "Design of more equitable congestion pricing and tradable credit schemes for multimodal transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1273-1287.
    18. Stephanie Earnshaw & Katherine Hicks & Anke Richter & Amanda Honeycutt, 2007. "A linear programming model for allocating HIV prevention funds with state agencies: a pilot study," Health Care Management Science, Springer, vol. 10(3), pages 239-252, September.
    19. Hanif D. Sherali & Raymond W. Staats & Antonio A. Trani, 2006. "An Airspace-Planning and Collaborative Decision-Making Model: Part II---Cost Model, Data Considerations, and Computations," Transportation Science, INFORMS, vol. 40(2), pages 147-164, May.
    20. Davis, Lauren B. & Samanlioglu, Funda & Qu, Xiuli & Root, Sarah, 2013. "Inventory planning and coordination in disaster relief efforts," International Journal of Production Economics, Elsevier, vol. 141(2), pages 561-573.
    21. Begoña Vitoriano & M. Ortuño & Gregorio Tirado & Javier Montero, 2011. "A multi-criteria optimization model for humanitarian aid distribution," Journal of Global Optimization, Springer, vol. 51(2), pages 189-208, October.
    22. 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.
    23. Tzeng, Gwo-Hshiung & Cheng, Hsin-Jung & Huang, Tsung Dow, 2007. "Multi-objective optimal planning for designing relief delivery systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 673-686, November.
    24. Jayashankar M. Swaminathan, 2003. "Decision Support for Allocating Scarce Drugs," Interfaces, INFORMS, vol. 33(2), pages 1-11, April.
    25. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    26. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    27. Srinivas Bollapragada & Marc Garbiras, 2004. "Scheduling Commercials on Broadcast Television," Operations Research, INFORMS, vol. 52(3), pages 337-345, June.
    28. Dimitris Bertsimas & Romy Shioda, 2003. "Restaurant Revenue Management," Operations Research, INFORMS, vol. 51(3), pages 472-486, June.
    29. Smith, Honora K. & Harper, Paul R. & Potts, Chris N. & Thyle, Ann, 2009. "Planning sustainable community health schemes in rural areas of developing countries," European Journal of Operational Research, Elsevier, vol. 193(3), pages 768-777, March.
    30. Prokopyev, Oleg A. & Kong, Nan & Martinez-Torres, Dayna L., 2009. "The equitable dispersion problem," European Journal of Operational Research, Elsevier, vol. 197(1), pages 59-67, August.
    31. Zhang, H.M. & Shen, Wei, 2010. "Access control policies without inside queues: Their properties and public policy implications," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1132-1147, September.
    32. Cynthia Barnhart & Dimitris Bertsimas & Constantine Caramanis & Douglas Fearing, 2012. "Equitable and Efficient Coordination in Traffic Flow Management," Transportation Science, INFORMS, vol. 46(2), pages 262-280, May.
    33. Mehmet C. Demirci & Andrew J. Schaefer & H. Edwin Romeijn & Mark S. Roberts, 2012. "An Exact Method for Balancing Efficiency and Equity in the Liver Allocation Hierarchy," INFORMS Journal on Computing, INFORMS, vol. 24(2), pages 260-275, May.
    34. Lo, Hong K. & Szeto, W.Y., 2009. "Time-dependent transport network design under cost-recovery," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 142-158, January.
    35. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    36. 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.
    37. G Erdoğan & E Erkut & A Ingolfsson & G Laporte, 2010. "Scheduling ambulance crews for maximum coverage," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 543-550, April.
    38. Guillermo Durán & Rodrigo Wolf-Yadlin, 2011. "A Mathematical Programming Approach to Applicant Selection for a Degree Program Based on Affirmative Action," Interfaces, INFORMS, vol. 41(3), pages 278-288, June.
    39. Mor Armony & Amy R. Ward, 2010. "Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems," Operations Research, INFORMS, vol. 58(3), pages 624-637, June.
    40. Dugardin, Frédéric & Yalaoui, Farouk & Amodeo, Lionel, 2010. "New multi-objective method to solve reentrant hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 22-31, May.
    41. Dell'Olmo, Paolo & Gentili, Monica & Scozzari, Andrea, 2005. "On finding dissimilar Pareto-optimal paths," European Journal of Operational Research, Elsevier, vol. 162(1), pages 70-82, April.
    42. Mut, Murat & Wiecek, Margaret M., 2011. "Generalized equitable preference in multiobjective programming," European Journal of Operational Research, Elsevier, vol. 212(3), pages 535-551, August.
    43. Wang, Lizhong & Fang, Liping & Hipel, Keith W., 2008. "Basin-wide cooperative water resources allocation," European Journal of Operational Research, Elsevier, vol. 190(3), pages 798-817, November.
    44. Al-Yakoob, Salem M. & Sherali, Hanif D., 2006. "Mathematical programming models and algorithms for a class-faculty assignment problem," European Journal of Operational Research, Elsevier, vol. 173(2), pages 488-507, September.
    45. Amy R. Ward & Mor Armony, 2013. "Blind Fair Routing in Large-Scale Service Systems with Heterogeneous Customers and Servers," Operations Research, INFORMS, vol. 61(1), pages 228-243, February.
    46. Ogryczak, Wlodzimierz & Wierzbicki, Adam & Milewski, Marcin, 2008. "A multi-criteria approach to fair and efficient bandwidth allocation," Omega, Elsevier, vol. 36(3), pages 451-463, June.
    47. Bozkaya, Burcin & Erkut, Erhan & Laporte, Gilbert, 2003. "A tabu search heuristic and adaptive memory procedure for political districting," European Journal of Operational Research, Elsevier, vol. 144(1), pages 12-26, January.
    48. Muer Yang & Theodore Allen & Michael Fry & W. Kelton, 2013. "The call for equity: simulation optimization models to minimize the range of waiting times," IISE Transactions, Taylor & Francis Journals, vol. 45(7), pages 781-795.
    49. Ann Melissa Campbell & Dieter Vandenbussche & William Hermann, 2008. "Routing for Relief Efforts," Transportation Science, INFORMS, vol. 42(2), pages 127-145, May.
    50. Roberto Aringhieri, 2009. "Composing medical crews with equity and efficiency," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 17(3), pages 343-357, September.
    51. Bell, John E. & Griffis, Stanley E. & Cunningham III, William A. & Eberlan, Jon A., 2011. "Location optimization of strategic alert sites for homeland defense," Omega, Elsevier, vol. 39(2), pages 151-158, April.
    52. 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.
    53. Balázs Kotnyek & Octavio Richetta, 2006. "Equitable Models for the Stochastic Ground-Holding Problem Under Collaborative Decision Making," Transportation Science, INFORMS, vol. 40(2), pages 133-146, May.
    54. José Craveirinha & Rita Girão-Silva & João Clímaco, 2008. "A meta-model for multiobjective routing in MPLS networks," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(1), pages 79-105, March.
    55. Dimitris Bertsimas & Sarah Stock Patterson, 1998. "The Air Traffic Flow Management Problem with Enroute Capacities," Operations Research, INFORMS, vol. 46(3), pages 406-422, June.
    56. 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.
    57. 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.
    58. Butler, Martin & Williams, H. Paul, 2006. "The allocation of shared fixed costs," European Journal of Operational Research, Elsevier, vol. 170(2), pages 391-397, April.
    59. Michael Johnson & David Turcotte & Felicia Sullivan, 2010. "What Foreclosed Homes Should a Municipality Purchase to Stabilize Vulnerable Neighborhoods?," Networks and Spatial Economics, Springer, vol. 10(3), pages 363-388, September.
    60. Włodzimierz Ogryczak, 2009. "Inequality measures and equitable locations," Annals of Operations Research, Springer, vol. 167(1), pages 61-86, March.
    61. Michael O. Ball & Robert Hoffman & Avijit Mukherjee, 2010. "Ground Delay Program Planning Under Uncertainty Based on the Ration-by-Distance Principle," Transportation Science, INFORMS, vol. 44(1), pages 1-14, February.
    62. George Kozanidis, 2009. "Solving the linear multiple choice knapsack problem with two objectives: profit and equity," Computational Optimization and Applications, Springer, vol. 43(2), pages 261-294, June.
    63. Laura A. McLay & Maria E. Mayorga, 2013. "A Dispatching Model for Server-to-Customer Systems That Balances Efficiency and Equity," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 205-220, May.
    64. Michael Johnson, 2003. "Single-Period Location Models for Subsidized Housing: Tenant-Based Subsidies," Annals of Operations Research, Springer, vol. 123(1), pages 105-124, October.
    65. Guglielmo Lulli & Amedeo Odoni, 2007. "The European Air Traffic Flow Management Problem," Transportation Science, INFORMS, vol. 41(4), pages 431-443, November.
    66. Hanif D. Sherali & Justin M. Hill & Michael V. McCrea & Antonio A. Trani, 2011. "Integrating Slot Exchange, Safety, Capacity, and Equity Mechanisms Within an Airspace Flow Program," Transportation Science, INFORMS, vol. 45(2), pages 271-284, May.
    67. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    68. Marsh, Michael T. & Schilling, David A., 1994. "Equity measurement in facility location analysis: A review and framework," European Journal of Operational Research, Elsevier, vol. 74(1), pages 1-17, April.
    69. Dritan Nace & James B. Orlin, 2007. "Lexicographically Minimum and Maximum Load Linear Programming Problems," Operations Research, INFORMS, vol. 55(1), pages 182-187, February.
    70. Suzuki, Atsuo & Drezner, Zvi, 2009. "The minimum equitable radius location problem with continuous demand," European Journal of Operational Research, Elsevier, vol. 195(1), pages 17-30, May.
    71. Baron, Opher & Berman, Oded & Krass, Dmitry & Wang, Qian, 2007. "The equitable location problem on the plane," European Journal of Operational Research, Elsevier, vol. 183(2), pages 578-590, December.
    72. Hanif D. Sherali & Raymond W. Staats & Antonio A. Trani, 2003. "An Airspace Planning and Collaborative Decision-Making Model: Part I—Probabilistic Conflicts, Workload, and Equity Considerations," Transportation Science, INFORMS, vol. 37(4), pages 434-456, November.
    73. D Briskorn & A Drexl, 2009. "A branch-and-price algorithm for scheduling sport leagues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 84-93, January.
    74. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2011. "The Price of Fairness," Operations Research, INFORMS, vol. 59(1), pages 17-31, February.
    75. Eric Angel & Evripidis Bampis & Fanny Pascual, 2008. "How good are SPT schedules for fair optimality criteria," Annals of Operations Research, Springer, vol. 159(1), pages 53-64, March.
    76. Li, Yongjun & Yang, Min & Chen, Ya & Dai, Qianzhi & Liang, Liang, 2013. "Allocating a fixed cost based on data envelopment analysis and satisfaction degree," Omega, Elsevier, vol. 41(1), pages 55-60.
    77. Szeto, W.Y. & Lo, Hong K., 2006. "Transportation network improvement and tolling strategies: The issue of intergeneration equity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(3), pages 227-243, March.
    78. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2013. "Fairness, Efficiency, and Flexibility in Organ Allocation for Kidney Transplantation," Operations Research, INFORMS, vol. 61(1), pages 73-87, February.
    79. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2012. "On the Efficiency-Fairness Trade-off," Management Science, INFORMS, vol. 58(12), pages 2234-2250, December.
    80. 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.
    81. Salles, Ronaldo M. & Barria, Javier A., 2008. "Lexicographic maximin optimisation for fair bandwidth allocation in computer networks," European Journal of Operational Research, Elsevier, vol. 185(2), pages 778-794, March.
    82. Wooseung Jang & Huay H. Lim & Thomas J. Crowe & Gail Raskin & Thomas E. Perkins, 2006. "The Missouri Lottery Optimizes Its Scheduling and Routing to Improve Efficiency and Balance," Interfaces, INFORMS, vol. 36(4), pages 302-313, August.
    83. Avishai Mandelbaum & Petar Momčilović & Yulia Tseytlin, 2012. "On Fair Routing from Emergency Departments to Hospital Wards: QED Queues with Heterogeneous Servers," Management Science, INFORMS, vol. 58(7), pages 1273-1291, July.
    84. 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.
    85. Galvao, Roberto D. & Acosta Espejo, Luis Gonzalo & Boffey, Brian & Yates, Derek, 2006. "Load balancing and capacity constraints in a hierarchical location model," European Journal of Operational Research, Elsevier, vol. 172(2), pages 631-646, July.
    86. Oded Berman & Zvi Drezner & Arie Tamir & George Wesolowsky, 2009. "Optimal location with equitable loads," Annals of Operations Research, Springer, vol. 167(1), pages 307-325, March.
    87. Stolletz, Raik & Brunner, Jens O., 2012. "Fair optimization of fortnightly physician schedules with flexible shifts," European Journal of Operational Research, Elsevier, vol. 219(3), pages 622-629.
    88. Medernach, Emmanuel & Sanlaville, Eric, 2012. "Fair resource allocation for different scenarios of demands," European Journal of Operational Research, Elsevier, vol. 218(2), pages 339-350.
    89. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    90. Paul Bergey & Cliff Ragsdale & Mangesh Hoskote, 2003. "A Simulated Annealing Genetic Algorithm for the Electrical Power Districting Problem," Annals of Operations Research, Springer, vol. 121(1), pages 33-55, July.
    91. Perugia, Alessandro & Moccia, Luigi & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Designing a home-to-work bus service in a metropolitan area," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1710-1726.
    92. Jayashankar M. Swaminathan & Marice Ashe & Kathryn Duke & Liz Maslin & Leon Wilde, 2004. "Distributing Scarce Drugs for the Medpin Program," Interfaces, INFORMS, vol. 34(5), pages 353-358, October.
    93. Andrew Higgins & Steve Postma, 2004. "Australian Sugar Mills Optimise Siding Rosters to Increase Profitability," Annals of Operations Research, Springer, vol. 128(1), pages 235-249, April.
    94. Fred Blakeley & Burçin Argüello & Buyang Cao & Wolfgang Hall & Joseph Knolmajer, 2003. "Optimizing Periodic Maintenance Operations for Schindler Elevator Corporation," Interfaces, INFORMS, vol. 33(1), pages 67-79, February.
    95. H Luss, 2012. "A distributed algorithm for equitable bandwidth allocation for content distribution in a tree network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(4), pages 460-469, April.
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