IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v27y1999i2p179-188.html
   My bibliography  Save this article

Extensions of Pareto efficiency analysis to integer goal programming

Author

Listed:
  • Tamiz, M.
  • Mirrazavi, S. K.
  • Jones, D. F.

Abstract

This paper focuses on the design, development and implementation of new Pareto efficiency detection and restoration techniques for integer goal programming. The design of the algorithms and their implementation issues within (an otherwise continuous) goal programming system are detailed. The differences between continuous and integer goal programming regarding Pareto efficiency detection and restoration analysis are described. The integer Pareto efficiency techniques have been applied to a selection of problems from different industrial contexts in order to assess their computational performance. Finally, Pareto restoration and detection techniques are applied to an integer goal programming problem to illustrate the methodology.

Suggested Citation

  • Tamiz, M. & Mirrazavi, S. K. & Jones, D. F., 1999. "Extensions of Pareto efficiency analysis to integer goal programming," Omega, Elsevier, vol. 27(2), pages 179-188, April.
    • Handle: RePEc:eee:jomega:v:27:y:1999:i:2:p:179-188
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(98)00038-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    2. Jones, D. F. & Tamiz, M., 1995. "Expanding the flexibility of goal programming via preference modelling techniques," Omega, Elsevier, vol. 23(1), pages 41-48, February.
    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. Pati, Rupesh Kumar & Vrat, Prem & Kumar, Pradeep, 2008. "A goal programming model for paper recycling system," Omega, Elsevier, vol. 36(3), pages 405-417, June.
    2. X Li & P Beullens & D Jones & M Tamiz, 2009. "An integrated queuing and multi-objective bed allocation model with application to a hospital in China," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 330-338, March.
    3. Aouni, Belaid & Kettani, Ossama, 2001. "Goal programming model: A glorious history and a promising future," European Journal of Operational Research, Elsevier, vol. 133(2), pages 225-231, January.
    4. Ana Batista & Jorge Vera & David Pozo, 2020. "Multi-objective admission planning problem: a two-stage stochastic approach," Health Care Management Science, Springer, vol. 23(1), pages 51-65, March.
    5. S K Mirrazavi & S J Mardle & M Tamiz, 2003. "A two-phase multiple objective approach to university timetabling utilising optimisation and evolutionary solution methodologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(11), pages 1155-1166, November.
    6. M Larbani & B Aouni, 2011. "A new approach for generating efficient solutions within the goal programming model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 175-182, January.
    7. Padilla Garrido, Nuria & Guerrero Casas, Flor María, 2005. "La selección de carteras mediante programación por metas lexicográficas entera: una aplicación al mercado continuo español/Integer lexicographic goal programming for portfolio selection: an applicatio," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 167-185, Abril.
    8. Mirrazavi, S. Keyvan & Jones, Dylan F. & Tamiz, M., 2001. "A comparison of genetic and conventional methods for the solution of integer goal programmes," European Journal of Operational Research, Elsevier, vol. 132(3), pages 594-602, August.

    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. Hamalainen, Raimo P. & Mantysaari, Juha, 2002. "Dynamic multi-objective heating optimization," European Journal of Operational Research, Elsevier, vol. 142(1), pages 1-15, October.
    2. Tamiz, Mehrdad & Jones, Dylan & Romero, Carlos, 1998. "Goal programming for decision making: An overview of the current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 111(3), pages 569-581, December.
    3. J P Oddoye & M A Yaghoobi & M Tamiz & D F Jones & P Schmidt, 2007. "A multi-objective model to determine efficient resource levels in a medical assessment unit," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1563-1573, December.
    4. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    5. Tom Rihm & Philipp Baumann, 2018. "Staff assignment with lexicographically ordered acceptance levels," Journal of Scheduling, Springer, vol. 21(2), pages 167-189, April.
    6. J Aznar & F Guijarro, 2007. "Modelling aesthetic variables in the valuation of paintings: an interval goal programming approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 957-963, July.
    7. Chang, Ching-Ter & Lin, Teng-Chiao, 2009. "Interval goal programming for S-shaped penalty function," European Journal of Operational Research, Elsevier, vol. 199(1), pages 9-20, November.
    8. 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.
    9. Aznar, Jeronimo & Guijarro, Francisco, 2007. "Estimating regression parameters with imprecise input data in an appraisal context," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1896-1907, February.
    10. Wojtek Michalowski & Włodzimierz Ogryczak, 2001. "Extending the MAD portfolio optimization model to incorporate downside risk aversion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(3), pages 185-200, April.
    11. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    12. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    13. Yanagida, John F. & Book, Don N., 1984. "Application of the Least Absolute Value Technique as a Data Filter for Detecting Structural Change in the Demand for Meat," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 0(Number 1), pages 1-5, April.
    14. Dima, Bogdan & Dincă, Marius Sorin & Spulbăr, Cristi, 2014. "Financial nexus: Efficiency and soundness in banking and capital markets," Journal of International Money and Finance, Elsevier, vol. 47(C), pages 100-124.
    15. Tsoukias, Alexis, 2008. "From decision theory to decision aiding methodology," European Journal of Operational Research, Elsevier, vol. 187(1), pages 138-161, May.
    16. Richard W. Cottle, 2017. "On “Pre-historic” Linear Programming and the Figure of the Earth," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 255-277, October.
    17. W. Cooper & C. Lovell, 2011. "History lessons," Journal of Productivity Analysis, Springer, vol. 36(2), pages 193-200, October.
    18. Demirci, Mehmet & Bettinger, Pete, 2015. "Using mixed integer multi-objective goal programming for stand tending block designation: A case study from Turkey," Forest Policy and Economics, Elsevier, vol. 55(C), pages 28-36.
    19. Tsai, Wen-Hsien & Hsu, Jui-Ling, 2008. "Corporate social responsibility programs choice and costs assessment in the airline industry—A hybrid model," Journal of Air Transport Management, Elsevier, vol. 14(4), pages 188-196.
    20. Bertomeu, M. & Romero, C., 2001. "Managing forest biodiversity: a zero-one goal programming approach," Agricultural Systems, Elsevier, vol. 68(3), pages 197-213, June.

    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:jomega:v:27:y:1999:i:2:p:179-188. 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/wps/find/journaldescription.cws_home/375/description#description .

    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.