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On goal programming formulations of the reference point method

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  • W Ogryczak

    (Warsaw University of Technology)

Abstract

This paper discusses connections between the multi-criteria techniques of goal programming (GP) and the reference point method (RPM). Both approaches use a certain target point in the criterion (outcome) space as a key element to model decision maker preferences. Therefore, RPM can be expressed, similarly to GP, in the modelling framework of deviational variables. The paper gives a systematic survey and analysis of the lexicographic GP models of RPM. The corresponding preference models are formalised and analysed with respect to target values interpretations as well as the Pareto efficiency of their solutions. The properties of equity among the individual achievements of solutions are also analysed with respect to the Rawlsian principle of justice.

Suggested Citation

  • W Ogryczak, 2001. "On goal programming formulations of the reference point method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(6), pages 691-698, June.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:6:d:10.1057_palgrave.jors.2601141
    DOI: 10.1057/palgrave.jors.2601141
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    Citations

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    Cited by:

    1. Luigi Di Puglia Pugliese & Francesca Guerriero, 2013. "A Reference Point Approach for the Resource Constrained Shortest Path Problems," Transportation Science, INFORMS, vol. 47(2), pages 247-265, May.
    2. Caballero, Rafael & Hernandez, Monica, 2006. "Restoration of efficiency in a goal programming problem with linear fractional criteria," European Journal of Operational Research, Elsevier, vol. 172(1), pages 31-39, July.
    3. Kostreva, Michael M. & Ogryczak, Wlodzimierz & Wierzbicki, Adam, 2004. "Equitable aggregations and multiple criteria analysis," European Journal of Operational Research, Elsevier, vol. 158(2), pages 362-377, October.
    4. Włodzimierz Ogryczak & Bartosz Kozłowski, 2011. "Reference point method with importance weighted ordered partial achievements," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 380-401, December.

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