A linear ordering problem with weighted rank

Manuel V. C. Vieira ()
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Manuel V. C. Vieira: NOVA School of Science and Technology

Journal of Combinatorial Optimization, 2024, vol. 47, issue 2, No 12, 24 pages

Abstract: Abstract This paper introduces an integer linear program for a variant of the linear ordering problem. This considers, besides the pairwise preferences in the objective function as the linear ordering problem, positional preferences (weighted rank) in the objective. The objective function is mathematically supported, as the full integer linear program is motivated by the instant run-off voting method to aggregate individual preferences. The paper describes two meta-heuristics, iterated local search and Memetic algorithms to deal with large instances which are hard to solve to optimality. These results are compared with the objective value of the linear relaxation. The instances used are the ones available from the LOP library, and new real instances with preferences given by juries.

Keywords: Linear ordering problem; Aggregation of individual preferences; Memetic algorithm (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10878-024-01109-x

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