IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v244y2015i2p519-524.html
   My bibliography  Save this article

Compromise programming: Non-interactive calibration of utility-based metrics

Author

Listed:
  • Kanellopoulos, A.
  • Gerdessen, J.C.
  • Claassen, G.D.H.

Abstract

Utility functions have been used widely to support multi-objective decision-making. Expansion of a general additive utility function around the ideal results in a composite linear-quadratic metric of a compromise programming problem. Determining the unknown parameters of the composite linear-quadratic metric requires substantial interaction with the decision maker who might not always be available or capable to participate in such a process. We propose a non-interactive method that uses information on observed attribute levels to obtain the unknown parameters of the composite linear-quadratic metric and enables forecasting and scenario analysis. The method is illustrated with a small scale numerical example.

Suggested Citation

  • Kanellopoulos, A. & Gerdessen, J.C. & Claassen, G.D.H., 2015. "Compromise programming: Non-interactive calibration of utility-based metrics," European Journal of Operational Research, Elsevier, vol. 244(2), pages 519-524.
    • Handle: RePEc:eee:ejores:v:244:y:2015:i:2:p:519-524
    DOI: 10.1016/j.ejor.2015.01.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037722171500051X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2015.01.031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    2. André, Francisco J., 2009. "Indirect elicitation of non-linear multi-attribute utility functions. A dual procedure combined with DEA," Omega, Elsevier, vol. 37(4), pages 883-895, August.
    3. Amador, Francisco & Sumpsi, Jose Maria & Romero, Carlos, 1998. "A Non-interactive Methodology to Assess Farmers' Utility Functions: An Application to Large Farms in Andalusia, Spain," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 25(1), pages 92-109.
    4. Romero, Carlos, 2004. "A general structure of achievement function for a goal programming model," European Journal of Operational Research, Elsevier, vol. 153(3), pages 675-686, March.
    5. Andre, Francisco J. & Riesgo, Laura, 2007. "A non-interactive elicitation method for non-linear multiattribute utility functions: Theory and application to agricultural economics," European Journal of Operational Research, Elsevier, vol. 181(2), pages 793-807, September.
    6. Lluís M Plà & Daniel L Sandars & Andrew J Higgins, 2014. "A perspective on operational research prospects for agriculture," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1078-1089, July.
    7. 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.
    8. Jones, Dylan, 2011. "A practical weight sensitivity algorithm for goal and multiple objective programming," European Journal of Operational Research, Elsevier, vol. 213(1), pages 238-245, August.
    9. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
    10. Ballestero, Enrique, 2007. "Compromise programming: A utility-based linear-quadratic composite metric from the trade-off between achievement and balanced (non-corner) solutions," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1369-1382, November.
    11. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Büsing, Christina & Goetzmann, Kai-Simon & Matuschke, Jannik & Stiller, Sebastian, 2017. "Reference points and approximation algorithms in multicriteria discrete optimization," European Journal of Operational Research, Elsevier, vol. 260(3), pages 829-840.
    2. Rahimeh Neamatian Monemi & Shahin Gelareh & Anass Nagih & Dylan Jones, 2021. "Bi-objective load balancing multiple allocation hub location: a compromise programming approach," Annals of Operations Research, Springer, vol. 296(1), pages 363-406, January.
    3. Reidsma, Pytrik & Janssen, Sander & Jansen, Jacques & van Ittersum, Martin K., 2018. "On the development and use of farm models for policy impact assessment in the European Union – A review," Agricultural Systems, Elsevier, vol. 159(C), pages 111-125.

    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.
    1. Gómez-Limón, José A. & Gutiérrez-Martín, Carlos & Riesgo, Laura, 2016. "Modeling at farm level: Positive Multi-Attribute Utility Programming," Omega, Elsevier, vol. 65(C), pages 17-27.
    2. Mestre-Sanchís, Fernando & Feijóo-Bello, María Luisa, 2009. "Climate change and its marginalizing effect on agriculture," Ecological Economics, Elsevier, vol. 68(3), pages 896-904, January.
    3. Jones, Dylan & Jimenez, Mariano, 2013. "Incorporating additional meta-objectives into the extended lexicographic goal programming framework," European Journal of Operational Research, Elsevier, vol. 227(2), pages 343-349.
    4. Stelios Rozakis & Alexandra Sintori & Konstantinos Tsiboukas, 2009. "Utility-derived Supply Function of Sheep Milk: The Case of Etoloakarnania, Greece," Working Papers 2009-11, Agricultural University of Athens, Department Of Agricultural Economics.
    5. Dylan F. Jones & Graham Wall, 2016. "An extended goal programming model for site selection in the offshore wind farm sector," Annals of Operations Research, Springer, vol. 245(1), pages 121-135, October.
    6. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    7. Oliveira, Washington A. & Fiorotto, Diego J. & Song, Xiang & Jones, Dylan F., 2021. "An extended goal programming model for the multiobjective integrated lot-sizing and cutting stock problem," European Journal of Operational Research, Elsevier, vol. 295(3), pages 996-1007.
    8. Chang, Ching-Ter & Chung, Cheng-Kung & Sheu, Jiuh-Biing & Zhuang, Zheng-Yun & Chen, Huang-Mu, 2014. "The optimal dual-pricing policy of mall parking service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 223-243.
    9. Diaz-Balteiro, L & González-Pachón, J. & Romero, C., 2017. "Measuring systems sustainability with multi-criteria methods: A critical review," European Journal of Operational Research, Elsevier, vol. 258(2), pages 607-616.
    10. Rozakis, Stelios & Sintori, Alexandra & Tsiboukas, Konstantinos, 2012. "Estimating utility functions of Greek dairy sheep farmers: A multicriteria mathematical programming approach," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 13(1), pages 1-10.
    11. C. D. Pérez-Blanco & E. E. Koks & E. Calliari & J. Mysiak, 2018. "Economic Impacts of Irrigation-Constrained Agriculture in the Lower Po Basin," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-38, January.
    12. Mónica Hernández & Trinidad Gómez & Laura Delgado-Antequera & Rafael Caballero, 2021. "Using multiobjective optimization models to establish healthy diets in Spain following Mediterranean standards," Operational Research, Springer, vol. 21(3), pages 1927-1961, September.
    13. Pérez-Blanco, C. D & Standardi, G., 2019. "Farm waters run deep: a coupled positive multi-attribute utility programming and computable general equilibrium model to assess the economy-wide impacts of water buyback," Agricultural Water Management, Elsevier, vol. 213(C), pages 336-351.
    14. Amelia Bilbao-Terol & Mar Arenas-Parra & Verónica Cañal-Fernández & Mariano Jiménez, 2016. "A sequential goal programming model with fuzzy hierarchies to sustainable and responsible portfolio selection problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(10), pages 1259-1273, October.
    15. André, Francisco J. & Herrero, Inés & Riesgo, Laura, 2010. "A modified DEA model to estimate the importance of objectives with an application to agricultural economics," Omega, Elsevier, vol. 38(5), pages 371-382, October.
    16. María Romero & María Luisa Cuadrado & Luis Romero & Carlos Romero, 2020. "Optimum acceptability of telecommunications networks: a multi-criteria approach," Operational Research, Springer, vol. 20(3), pages 1899-1911, September.
    17. Behnam Malakooti, 2015. "Double Helix Value Functions, Ordinal/Cardinal Approach, Additive Utility Functions, Multiple Criteria, Decision Paradigm, Process, and Types (Z Theory I)," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1353-1400, November.
    18. González-Pachón, Jacinto & Romero, Carlos, 2016. "Bentham, Marx and Rawls ethical principles: In search for a compromise," Omega, Elsevier, vol. 62(C), pages 47-51.
    19. Francisco Salas-Molina & Juan A. Rodríguez-Aguilar & David Pla-Santamaria, 2019. "Characterizing compromise solutions for investors with uncertain risk preferences," Operational Research, Springer, vol. 19(3), pages 661-677, September.
    20. Montilla-López, Nazaret M. & Gómez-Limón, José A. & Gutiérrez-Martín, Carlos, 2018. "Sharing a river: Potential performance of a water bank for reallocating irrigation water," Agricultural Water Management, Elsevier, vol. 200(C), pages 47-59.

    Corrections

    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:eee:ejores:v:244:y:2015:i:2:p:519-524. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.