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Mixed binary interval goal programming

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  • Ching-Ter Chang

    (National Changhua University of Education)

Abstract

This paper focuses on the mixed binary preferences decision problem associated with the use of penalty functions in goal programming. In this sense, a new formulation approach for interval goal programming is derived, which is more efficient than the model of Jones and Tamiz. In addition, to enhance the usefulness of the proposed model, binary variables subject to the environmental constraints are added. This leads to the model of binary interval goal programming. Finally, examples to illustrate these models are given.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:4:d:10.1057_palgrave.jors.2601999
    DOI: 10.1057/palgrave.jors.2601999
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    References listed on IDEAS

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    1. 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.
    2. Chang, Ching-Ter, 2000. "An efficient linearization approach for mixed-integer problems," European Journal of Operational Research, Elsevier, vol. 123(3), pages 652-659, June.
    3. Charnes, A. & Collomb, B., 1972. "Optimal economic stabilization policy: Linear goal-interval programming models," Socio-Economic Planning Sciences, Elsevier, vol. 6(4), pages 431-435, August.
    4. 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.
    5. 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.
    6. Romero, Carlos, 2001. "Extended lexicographic goal programming: a unifying approach," Omega, Elsevier, vol. 29(1), pages 63-71, February.
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    Cited by:

    1. 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).
    2. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    3. Tom Rihm & Philipp Baumann, 2018. "Staff assignment with lexicographically ordered acceptance levels," Journal of Scheduling, Springer, vol. 21(2), pages 167-189, April.
    4. 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.

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