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On the lexicographic minimax approach to location problems

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  • Ogryczak, Wlodzimierz

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  • Ogryczak, Wlodzimierz, 1997. "On the lexicographic minimax approach to location problems," European Journal of Operational Research, Elsevier, vol. 100(3), pages 566-585, August.
    • Handle: RePEc:eee:ejores:v:100:y:1997:i:3:p:566-585
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    1. Jos A. M. Potters & Stef H. Tijs, 1992. "The Nucleolus of a Matrix Game and Other Nucleoli," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 164-174, February.
    2. J Malczewski & W Ogryczak, 1988. "A Multiobjective Approach to the Reorganization of Health-Service Areas: A Case Study," Environment and Planning A, , vol. 20(11), pages 1461-1470, November.
    3. D Richard & H Beguin & D Peeters, 1990. "The Location of Fire Stations in a Rural Environment: A Case Study," Environment and Planning A, , vol. 22(1), pages 39-52, January.
    4. 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.
    5. labbe, M. & Peeters, D. & Thisse, J.F., 1992. "Location on Networks," Papers 9216, Universite Libre de Bruxelles - C.E.M.E..
    6. Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, Tilburg University, School of Economics and Management.
    7. Potters, J.A.M. & Tijs, S.H., 1992. "The nucleolus of a matrix game and other nucleoli," Other publications TiSEM ae3402e7-bd19-494b-b0a1-f, Tilburg University, School of Economics and Management.
    8. Krarup, Jakob & Pruzan, Peter Mark, 1981. "Reducibility of minimax to minisum 0-1 programming problems," European Journal of Operational Research, Elsevier, vol. 6(2), pages 125-132, February.
    9. Current, John & Min, Hokey & Schilling, David, 1990. "Multiobjective analysis of facility location decisions," European Journal of Operational Research, Elsevier, vol. 49(3), pages 295-307, December.
    10. Marvin B. Mandell, 1991. "Modelling Effectiveness-Equity Trade-Offs in Public Service Delivery Systems," Management Science, INFORMS, vol. 37(4), pages 467-482, April.
    11. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    12. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 85-106.
    14. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    15. Marchi, Ezio & Oviedo, Jorge A., 1992. "Lexicographic optimality in the multiple objective linear programming: The nucleolar solution," European Journal of Operational Research, Elsevier, vol. 57(3), pages 355-359, March.
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    Cited by:

    1. Lehuédé, Fabien & Péton, Olivier & Tricoire, Fabien, 2020. "A lexicographic minimax approach to the vehicle routing problem with route balancing," European Journal of Operational Research, Elsevier, vol. 282(1), pages 129-147.
    2. Erkut, Erhan & Karagiannidis, Avraam & Perkoulidis, George & Tjandra, Stevanus A., 2008. "A multicriteria facility location model for municipal solid waste management in North Greece," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1402-1421, June.
    3. Letsios, Dimitrios & Mistry, Miten & Misener, Ruth, 2021. "Exact lexicographic scheduling and approximate rescheduling," European Journal of Operational Research, Elsevier, vol. 290(2), pages 469-478.
    4. Hanan Luss, 2010. "Equitable bandwidth allocation in content distribution networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(3), pages 266-278, April.
    5. Liu, Songsong & Papageorgiou, Lazaros G., 2013. "Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry," Omega, Elsevier, vol. 41(2), pages 369-382.
    6. Niknamfar, Amir Hossein & Niaki, Seyed Taghi Akhavan, 2016. "Fair profit contract for a carrier collaboration framework in a green hub network under soft time-windows: Dual lexicographic max–min approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 129-151.
    7. Włodzimierz Ogryczak, 2009. "Inequality measures and equitable locations," Annals of Operations Research, Springer, vol. 167(1), pages 61-86, March.
    8. Romauch, Martin & Hartl, Richard F., 2017. "Capacity planning for cluster tools in the semiconductor industry," International Journal of Production Economics, Elsevier, vol. 194(C), pages 167-180.
    9. 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.
    10. Zhang Jiangao & Shitao Yang, 2016. "On the Lexicographic Centre of Multiple Objective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 600-614, February.
    11. Cao, Wenwei & Çelik, Melih & Ergun, Özlem & Swann, Julie & Viljoen, Nadia, 2016. "Challenges in service network expansion: An application in donated breastmilk banking in South Africa," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 33-48.
    12. Dönmez, Zehranaz & Kara, Bahar Y. & Karsu, Özlem & Saldanha-da-Gama, Francisco, 2021. "Humanitarian facility location under uncertainty: Critical review and future prospects," Omega, Elsevier, vol. 102(C).
    13. Muñuzuri, Jesús & Cuberos, Manuel & Abaurrea, Fátima & Escudero, Alejandro, 2017. "Improving the design of urban loading zone systems," Journal of Transport Geography, Elsevier, vol. 59(C), pages 1-13.
    14. Ogryczak, Wlodzimierz, 2000. "Inequality measures and equitable approaches to location problems," European Journal of Operational Research, Elsevier, vol. 122(2), pages 374-391, April.
    15. Liu, Songsong & Papageorgiou, Lazaros G., 2018. "Fair profit distribution in multi-echelon supply chains via transfer prices," Omega, Elsevier, vol. 80(C), pages 77-94.
    16. 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.
    17. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    18. Mohammadmehdi Hakimifar & Vera C. Hemmelmayr & Fabien Tricoire, 2022. "A Bi-Objective Field-Visit Planning Problem for Rapid Needs Assessment under Travel-Time Uncertainty," Sustainability, MDPI, vol. 14(5), pages 1-16, March.
    19. 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.
    20. 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.
    21. Kalaı¨, Rim & Lamboray, Claude & Vanderpooten, Daniel, 2012. "Lexicographic α-robustness: An alternative to min–max criteria," European Journal of Operational Research, Elsevier, vol. 220(3), pages 722-728.
    22. Mohammadmehdi Hakimifar & Vera C. Hemmelmayr & Fabien Tricoire, 2023. "A lexicographic maximin approach to the selective assessment routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 205-249, March.
    23. Dan A. Iancu & Nikolaos Trichakis, 2014. "Pareto Efficiency in Robust Optimization," Management Science, INFORMS, vol. 60(1), pages 130-147, January.

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