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Solving the linear multiple choice knapsack problem with two objectives: profit and equity

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  • George Kozanidis

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  • 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.
    • Handle: RePEc:spr:coopap:v:43:y:2009:i:2:p:261-294
    DOI: 10.1007/s10589-007-9140-y
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    References listed on IDEAS

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    1. Thomas Erlebach & Hans Kellerer & Ulrich Pferschy, 2002. "Approximating Multiobjective Knapsack Problems," Management Science, INFORMS, vol. 48(12), pages 1603-1612, December.
    2. Moshe Eben-Chaime, 1996. "Parametric Solution for Linear Bicriteria Knapsack Models," Management Science, INFORMS, vol. 42(11), pages 1565-1575, November.
    3. George Kozanidis & Emanuel Melachrinoudis & Marius M. Solomon, 2005. "The linear multiple choice knapsack problem with equity constraints," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(1/2), pages 52-73.
    4. Ralph L. Keeney, 1980. "Utility Functions for Equity and Public Risk," Management Science, INFORMS, vol. 26(4), pages 345-353, April.
    5. Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
    6. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    7. Ralph L. Keeney, 1980. "Equity and Public Risk," Operations Research, INFORMS, vol. 28(3-part-i), pages 527-534, June.
    8. Melachrinoudis, Emanuel & Kozanidis, George, 2002. "A mixed integer knapsack model for allocating funds to highway safety improvements," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 789-803, November.
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    Cited by:

    1. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    2. 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.
    3. 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.

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