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Extended interval goal programming

Author

Listed:
  • B Vitoriano

    (Universidad P. de Comillas)

  • C Romero

    (Universidad Politécnica de Madrid)

Abstract

This paper focuses on possible problems associated with the use of penalty functions in Goal Programming (GP). In this sense we illustrate, with the help of numerical examples, how an assumption of separability amongst decision maker's preferences which underlies these approaches, can produce in the corresponding GP models extremely biased results towards certain goals. A new GP variant is proposed to overcome this type of problem.

Suggested Citation

  • B Vitoriano & C Romero, 1999. "Extended interval goal programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(12), pages 1280-1283, December.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:12:d:10.1057_palgrave.jors.2600846
    DOI: 10.1057/palgrave.jors.2600846
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    Citations

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    Cited by:

    1. Debjani Chakraborti, 2016. "Evolutionary technique based goal programming approach to chance constrained interval valued bilevel programming problems," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 390-408, June.
    2. Chang, Ching-Ter, 2007. "Binary fuzzy goal programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 29-37, July.
    3. 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.
    4. Hamalainen, Raimo P. & Mantysaari, Juha, 2002. "Dynamic multi-objective heating optimization," European Journal of Operational Research, Elsevier, vol. 142(1), pages 1-15, October.
    5. Ching-Ter Chang, 2006. "Mixed binary interval goal programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 469-473, April.
    6. M. Ortuño & B. Vitoriano, 2011. "A goal programming approach for farm planning with resources dimensionality," Annals of Operations Research, Springer, vol. 190(1), pages 181-199, October.
    7. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    8. Stewart, Theodor J. & French, Simon & Rios, Jesus, 2013. "Integrating multicriteria decision analysis and scenario planning—Review and extension," Omega, Elsevier, vol. 41(4), pages 679-688.
    9. 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.
    10. 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.
    11. David Kik & Matthias Gerhard Wichmann & Thomas Stefan Spengler, 2022. "Decision support framework for the regional facility location and development planning problem," Journal of Business Economics, Springer, vol. 92(1), pages 115-157, January.
    12. Mardani Najafabadi, Mostafa & Magazzino, Cosimo & Valente, Donatella & Mirzaei, Abbas & Petrosillo, Irene, 2023. "A new interval meta-goal programming for sustainable planning of agricultural water-land use nexus," Ecological Modelling, Elsevier, vol. 484(C).
    13. Şeyda Gür & Tamer Eren, 2018. "Scheduling and Planning in Service Systems with Goal Programming: Literature Review," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
    14. 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.
    15. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.

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