Solving the linear multiple choice knapsack problem with two objectives: profit and equity
Author
Abstract
Suggested Citation
DOI: 10.1007/s10589-007-9140-y
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Thomas Erlebach & Hans Kellerer & Ulrich Pferschy, 2002. "Approximating Multiobjective Knapsack Problems," Management Science, INFORMS, vol. 48(12), pages 1603-1612, December.
- Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
- 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.
- Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
- Moshe Eben-Chaime, 1996. "Parametric Solution for Linear Bicriteria Knapsack Models," Management Science, INFORMS, vol. 42(11), pages 1565-1575, November.
- 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.
- Ralph L. Keeney, 1980. "Equity and Public Risk," Operations Research, INFORMS, vol. 28(3-part-i), pages 527-534, June.
- Ralph L. Keeney, 1980. "Utility Functions for Equity and Public Risk," Management Science, INFORMS, vol. 26(4), pages 345-353, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
- 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.
- 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.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Bommier, Antoine & Lanz, Bruno & Zuber, Stéphane, 2015.
"Models-as-usual for unusual risks? On the value of catastrophic climate change,"
Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 1-22.
- Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2013. "Models-as-Usual for Unusual Risks? On the Value of Catastrophic Climate Change," CIES Research Paper series 21-2013, Centre for International Environmental Studies, The Graduate Institute.
- Stéphane Zuber & Bruno Lanz & Antoine Bommier, 2015. "Models-as-usual for unusual risks? On the value of catastrophic climate change," Post-Print hal-01199503, HAL.
- Stéphane Zuber & Bruno Lanz & Antoine Bommier, 2015. "Models-as-usual for unusual risks? On the value of catastrophic climate change," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01199503, HAL.
- Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2014. "Models-as-Usual for Unusual Risks? On the Value of Catastrophic Climate Change," Post-Print halshs-00973491, HAL.
- Stéphane Zuber & Bruno Lanz & Antoine Bommier, 2015. "Models-as-usual for unusual risks? On the value of catastrophic climate change," PSE-Ecole d'économie de Paris (Postprint) hal-01199503, HAL.
- Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2014. "Models-as-Usual for Unusual Risks? On the Value of Catastrophic Climate Change," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00973491, HAL.
- Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
- Marc Fleurbaey & Stéphane Zuber, 2013.
"Inequality aversion and separability in social risk evaluation,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
- FLEURBAEY, Marc & ZUBER, Stéphane, 2011. "Inequality aversion and separability in social risk evaluation," LIDAM Discussion Papers CORE 2011023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Post-Print hal-00979778, HAL.
- Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00979778, HAL.
- Ehsan Taheri & Chen Wang, 2018. "Eliciting Public Risk Preferences in Emergency Situations," Decision Analysis, INFORMS, vol. 15(4), pages 223-241, December.
- Wen‐Qiang Bian & L. Robin Keller, 1999. "Chinese and Americans Agree on What Is Fair, but Disagree on What Is Best in Societal Decisions Affecting Health and Safety Risks," Risk Analysis, John Wiley & Sons, vol. 19(3), pages 439-452, June.
- Cesar Calvo & Stefan Dercon, 2013. "Vulnerability to individual and aggregate poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 721-740, October.
- Dean Spears & Stéphane Zuber, 2023.
"Foundations of utilitarianism under risk and variable population,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(1), pages 101-129, July.
- Dean Spears & Stéphane Zuber, 2021. "Foundations of utilitarianism under risk and variable population," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03287583, HAL.
- Dean Spears & Stéphane Zuber, 2022. "Foundations of utilitarianism under risk and variable population," PSE-Ecole d'économie de Paris (Postprint) halshs-03895384, HAL.
- Dean Spears & Stéphane Zuber, 2022. "Foundations of utilitarianism under risk and variable population," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03895384, HAL.
- Spears, Dean & Zuber, Stéphane, 2021. "Foundations of Utilitarianism under Risk and Variable Population," IZA Discussion Papers 14515, Institute of Labor Economics (IZA).
- Dean Spears & Stéphane Zuber, 2021. "Foundations of utilitarianism under risk and variable population," Post-Print halshs-03287583, HAL.
- Dean Spears & Stéphane Zuber, 2022. "Foundations of utilitarianism under risk and variable population," Post-Print halshs-03895384, HAL.
- Dean Spears & Stéphane Zuber, 2021. "Foundations of utilitatianism under risk and variable population," Documents de travail du Centre d'Economie de la Sorbonne 21017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Adam Behrendt & Vineet M. Payyappalli & Jun Zhuang, 2019. "Modeling the Cost Effectiveness of Fire Protection Resource Allocation in the United States: Models and a 1980–2014 Case Study," Risk Analysis, John Wiley & Sons, vol. 39(6), pages 1358-1381, June.
- Kenneth C. Fletcher & Ali E. Abbas, 2018. "A Value Measure for Public‐Sector Enterprise Risk Management: A TSA Case Study," Risk Analysis, John Wiley & Sons, vol. 38(5), pages 991-1008, May.
- Vicki M. Bier & Shi‐Woei Lin, 2013. "On the Treatment of Uncertainty and Variability in Making Decisions About Risk," Risk Analysis, John Wiley & Sons, vol. 33(10), pages 1899-1907, October.
- Thibault Gajdos & John Weymark & Claudio Zoli, 2010.
"Shared destinies and the measurement of social risk equity,"
Annals of Operations Research, Springer, vol. 176(1), pages 409-424, April.
- Thibault Gajdos & John Weymark & Claudio Zoli, 2008. "Shared destinies and the measurement of social risk equity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344468, HAL.
- Thibault Gajdos & John A. Weymark & Claudio Zoli, 2008. "Shared destinies and the measurement of social risk equity," Documents de travail du Centre d'Economie de la Sorbonne v08069, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Thibault Gajdos & John Weymark & Claudio Zoli, 2008. "Shared destinies and the measurement of social risk equity," Post-Print halshs-00344468, HAL.
- Kjær, Trine & Nielsen, Jytte Seested, 2016. "An investigation into procedure (in)variance in the valuation of mortality risk reductions," DaCHE discussion papers 2016:4, University of Southern Denmark, Dache - Danish Centre for Health Economics.
- Attema, Arthur E. & L'Haridon, Olivier & van de Kuilen, Gijs, 2023.
"Decomposing social risk preferences for health and wealth,"
Journal of Health Economics, Elsevier, vol. 90(C).
- Arthur E. Attema & Olivier L'Haridon & Gijs van de Kuilen, 2023. "Decomposing social risk preferences for health and wealth," Post-Print hal-04116983, HAL.
- George L. Van Houtven, 1997. "Altruistic Preferences for Life‐Saving Public Programs: Do Baseline Risks Matter?," Risk Analysis, John Wiley & Sons, vol. 17(1), pages 85-92, February.
- Adler, Matthew & Hammitt, James K. & Treich, Nicolas, 2012.
"The Social Value of Mortality Risk Reduction: VSL vs. the Social Welfare Function Approach,"
TSE Working Papers
12-292, Toulouse School of Economics (TSE).
- Adler, Matthew & Hammitt, James & Treich, Nicolas, 2012. "The Social Value of Mortality Risk Reduction: VSL vs. the Social Welfare Function Approach," LERNA Working Papers 12.08.365, LERNA, University of Toulouse.
- Adler, Matthew & Hammitt, James K. & Treich, Nicolas, 2012. "The Social Value of Mortality Risk Reduction: VSL vs. the Social Welfare Function Approach," IDEI Working Papers 709, Institut d'Économie Industrielle (IDEI), Toulouse.
- Xiaojun Shan & Jun Zhuang, 2013. "Cost of Equity in Homeland Security Resource Allocation in the Face of a Strategic Attacker," Risk Analysis, John Wiley & Sons, vol. 33(6), pages 1083-1099, June.
- Ingrid Rohde & Kirsten Rohde, 2011. "Risk attitudes in a social context," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 205-225, December.
- Marc Fleurbaey, 2010.
"Assessing Risky Social Situations,"
Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
- Marc Fleurbaey, 2007. "Assessing Risky Social Situations," IDEP Working Papers 0703, Institut d'economie publique (IDEP), Marseille, France, revised Jan 2007.
- FLEURBAEY, Marc, 2010. "Assessing risky social situations," LIDAM Reprints CORE 2289, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Fleurbaey, Marc, 2009. "Assessing risky social situations," LSE Research Online Documents on Economics 27006, London School of Economics and Political Science, LSE Library.
- Yanyan Wang & Vicki M. Bier & Baiqing Sun, 2019. "Measuring and Achieving Equity in Multiperiod Emergency Material Allocation," Risk Analysis, John Wiley & Sons, vol. 39(11), pages 2408-2426, November.
- Carole Bernard & Christoph M. Rheinberger & Nicolas Treich, 2018.
"Catastrophe Aversion and Risk Equity in an Interdependent World,"
Management Science, INFORMS, vol. 64(10), pages 4490-4504, October.
- Bernard, Carole & Rheinberger, Christoph & Treich, Nicolas, 2017. "Catastrophe Aversion and Risk Equity in an Interdependent World," TSE Working Papers 17-811, Toulouse School of Economics (TSE).
- Nicolas Treich & Carole Bernard & Christoph M. Rheinberger, 2018. "Catastrophe Aversion and Risk Equity in an Interdependent World," Post-Print hal-01948614, HAL.
- Nicolas Treich & Carole Bernard & Christoph M. Rheinberger, 2018. "Catastrophe Aversion and Risk Equity in an Interdependent World," Grenoble Ecole de Management (Post-Print) hal-01948614, HAL.
- Bernard, Carole & Rheinberger, Christoph & Treich, Nicolas, 2017. "Catastrophe Aversion and Risk Equity in an Interdependent World," IDEI Working Papers 872, Institut d'Économie Industrielle (IDEI), Toulouse.
More about this item
Keywords
Linear multiple choice knapsack; Balanced resource allocation; Equity; Multiobjective linear programming; Nondominated frontier;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:coopap:v:43:y:2009:i:2:p:261-294. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.