Approximation Results Toward Nearest Neighbor Heuristic
Jérôme Monnot (2002)
The Yugoslav Journal of Operations Research
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Jérôme Monnot (2002)
The Yugoslav Journal of Operations Research
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Y. Crama, J. Van De Klundert (1994)
RAIRO - Operations Research - Recherche Opérationnelle
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Li, Keqin (1999)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Mario Furnari, Antonio Massarotti (1988)
Stochastica
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In this note we discuss some drawbacks of some approaches to the classification of NP-complete optimization problems. Then we analyze the Theory of Analytical Computational Complexity to gain some insight about the notions of approximation and approximate algorithms. We stress the different roles played by these notions within the theories of Analytical and Algebraic Complexity. We finally outline a possible strategy to capture a more useful notion of approximation which is inspired...
Vangelis Th. Paschos (2009)
The Yugoslav Journal of Operations Research
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Pierre Hansen, Nenad Mladenović (2002)
The Yugoslav Journal of Operations Research
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Marc Demange, Vangelis Th. Paschos (1999)
RAIRO - Operations Research - Recherche Opérationnelle
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Sofia Kovaleva, Frits C. R. Spieksma (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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We consider a special packing-covering pair of problems. The packing problem is a natural generalization of finding a (weighted) maximum independent set in an interval graph, the covering problem generalizes the problem of finding a (weighted) minimum clique cover in an interval graph. The problem pair involves weights and capacities; we consider the case of unit weights and the case of unit capacities. In each case we describe a simple algorithm that outputs a solution to the packing...