Incorporating additional meta-objectives into the extended lexicographic goal programming framework |
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Authors: | Dylan Jones Mariano Jimenez |
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Affiliation: | 1. Logistics and Management Mathematics Group, Department of Mathematics, University of Portsmouth, United Kingdom;2. Department of Applied Economics I, University of The Basque Country (UPV-EHU), Spain |
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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. |
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Keywords: | Extended goal programming Pairwise comparisons Multiple objective programming Weight sensitivity analysis |
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