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Various least core concepts including the classical least core of cooperative games are discussed. By a reduction from minimum cover problems, we prove that computing an element in these least cores is in general NP-hard for minimum cost spanning tree games. As a consequence, computing the...
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The lexicographic kernel of a game lexicographically maximizes the surplusses s ij (rather than the excesses as would the nucleolus) and is contained in both the least core and the kernel. We show that an element in the lexicographic kernel can be computed efficiently, provided we can...
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The lexicographic kernel of a game lexicographically maximizes the surplusses s <Subscript> ij </Subscript> (rather than the excesses as would the nucleolus) and is contained in both the least core and the kernel. We show that an element in the lexicographic kernel can be computed efficiently, provided we can...</subscript>
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The Dreyfus–Wagner algorithm is a well-known dynamic programming method for computing minimum Steiner trees in general weighted graphs in time O * (3 k ), where k is the number of terminal nodes to be connected. We improve its running time to O * (2.684 k ) by showing that the optimum Steiner...
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The Dreyfus–Wagner algorithm is a well-known dynamic programming method for computing minimum Steiner trees in general weighted graphs in time O <Superscript>*</Superscript>(3<Superscript> k </Superscript>), where k is the number of terminal nodes to be connected. We improve its running time to O <Superscript>*</Superscript>(2.684<Superscript> k </Superscript>) by showing that the optimum Steiner...</superscript></superscript></superscript></superscript>
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To mitigate traffic externalities, we propose an origin–destination (OD) based road pricing model for traffic assignment problems. For elastic demand, we derive explicit optimal tolls for the OD-based pricing scheme. We also extend the model to a multi-period static traffic assignment (MSTA)...
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