General approximation schemes for min–max (regret) versions of some (pseudo-)polynomial problems
Aissi, Hassene; Bazgan, Cristina; Vanderpooten, Daniel (2010), General approximation schemes for min–max (regret) versions of some (pseudo-)polynomial problems, Discrete Optimization, 7, 3, p. 136-148. http://dx.doi.org/10.1016/j.disopt.2010.03.004
TypeArticle accepté pour publication ou publié
Journal nameDiscrete Optimization
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Abstract (EN)While the complexity of min–max and min–max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few studies about their approximation. For a bounded number of scenarios, we establish general approximation schemes which can be used for min–max and min–max regret versions of some polynomial or pseudo-polynomial problems. Applying these schemes to shortest path, minimum spanning tree, minimum weighted perfect matching on planar graphs, and knapsack problems, we obtain fully polynomial-time approximation schemes with better running times than the ones previously presented in the literature.
Subjects / KeywordsKnapsack; Minimum spanning tree; Min–max regret; Fptas; Min–max; Shortest path; Minimum weighted perfect matching; Approximation
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Aissi, Hassene; Bazgan, Cristina; Vanderpooten, Daniel (2007) Article accepté pour publication ou publié