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Communication Dans Un Congrès Année : 2015

Experiments on local search for bi-objective unconstrained binary quadratic programming

Résumé

This article reports an experimental analysis on stochastic local search for approximating the Pareto set of bi-objective unconstrained binary quadratic programming problems. First, we investigate two scalarizing strategies that iteratively identify a high-quality solution for a sequence of sub-problems. Each sub-problem is based on a static or adaptive definition of weighted-sum aggregation coefficients, and is addressed by means of a state-of-the-art single-objective tabu search procedure. Next, we design a Pareto local search that iteratively improves a set of solutions based on a neighborhood structure and on the Pareto dominance relation. At last, we hybridize both classes of algorithms by combining a scalarizing and a Pareto local search in a sequential way. A comprehensive experimental analysis reveals the high performance of the proposed approaches, which substantially improve upon previous best-known solutions. Moreover, the obtained results show the superiority of the hybrid algorithm over non-hybrid ones in terms of solution quality, while requiring a competitive computational cost. In addition, a number of structural properties of the problem instances allow us to explain the main difficulties that the different classes of local search algorithms have to face.
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Dates et versions

hal-01093261 , version 1 (19-12-2014)

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Arnaud Liefooghe, Sébastien Verel, Luis Paquete, Jin-Kao Hao. Experiments on local search for bi-objective unconstrained binary quadratic programming. EMO - 2015 8th International Conference on Evolutionary Multi-Criterion Optimization, 2015, Guimarães, Portugal. pp.171-186, ⟨10.1007/978-3-319-15934-8_12⟩. ⟨hal-01093261⟩
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