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dc.contributor.authorZissimopoulos, Vassilis
dc.contributor.authorPaschos, Vangelis
dc.contributor.authorPekergin, Ferhan
dc.subjectNP-complete problemsen
dc.subjectBoltzmann machine methoden
dc.subjectcombinatorial mathematicsen
dc.subjectcomputational complexityen
dc.subjectheuristic programmingen
dc.titleOn the approximation of NP-complete problems by using Boltzmann machine method. The cases of some covering and packing problemsen
dc.typeCommunication / Conférence
dc.description.abstractenA Boltzmann machine architecture to solve the problems of maximum independent set, set partitioning, clique, minimum vertex cover, minimum set cover, and maximum set packing is described. The authors evaluate the maximum and the average error of the method where the error is defined as the ratio of the cardinality of the obtained solution for an instance with respect to the optimal one. The results are compared with those obtained from the implementation of the heuristic described by D.S. Johnson (1974). The model treats the general case of all these problems that is the case when costs are associated with the data (vertices or subsets). The unweighted case becomes a particular case in this approach. It is shown that the model finds optimal solutions for a large percentage of the treated instances and provides a good performance ratio for the rest.en
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.conftitleInternational Conference on Novel Methods in Optimizationen

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