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Incorporating additional meta-objectives into the extended lexicographic goal programming framework

Dylan Jones and Mariano Jimenez

European Journal of Operational Research, 2013, vol. 227, issue 2, 343-349

Abstract: This paper introduces two new meta-objectives into the extended goal programming framework. The first meta-objective is the number of unmet goals and the second is a measure of closeness to the pairwise comparisons given by the decision maker. These complement the original two meta-objectives of the weighted sum of deviations and the maximal weighted deviation to provide a flexible four meta-objective framework. Lexicographic and non-lexicographic representations of the framework are developed. An example relating to transportation is solved in both the lexicographic and non-lexicographic forms. Weight sensitivity analysis is applied to the meta-weight parameters for the non-lexicographic case in order to find a range of available distinct solutions.

Keywords: Extended goal programming; Pairwise comparisons; Multiple objective programming; Weight sensitivity analysis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:227:y:2013:i:2:p:343-349

DOI: 10.1016/j.ejor.2012.12.025

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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