منابع مشابه
Multi-criteria minimum cost spanning tree games
The minimum cost spanning tree game (mcst-game) is a well-known model within operations research games that has been widely studied in the literature. In this paper we introduce the multi-criteria version of the mcst-game as a setvalued TU-game. We prove that the extension of Bird s cost allocation rule provides dominance core elements in this game. We also give a family of core solutions that ...
متن کاملSubmodularity of minimum-cost spanning tree games
We give a necessary condition and a sufficient condition for a minimum-cost spanning tree game introduced by Bird to be submodular (or convex). When the cost is restricted to two values, we give a characterization of submodular minimum-cost spanning tree games. We also discuss algorithmic issues.
متن کاملThe Generalized Minimum Spanning Tree Problem
We consider the Generalized Minimum Spanning Tree Problem denoted by GMSTP. It is known that GMSTP is NP-hard and even finding a near optimal solution is NP-hard. We introduce a new mixed integer programming formulation of the problem which contains a polynomial number of constraints and a polynomial number of variables. Based on this formulation we give an heuristic solution, a lower bound pro...
متن کاملCost monotonicity, consistency and minimum cost spanning tree games
We propose a new cost allocation rule for minimum cost spanning tree games. The new rule is a core selection and also satis...es cost monotonicity. We also give characterization theorems for the new rule as well as the much-studied Bird allocation. We show that the principal di¤erence between these two rules is in terms of their consistency properties. JEL Classi...cation Numbers: D7
متن کاملThe Generalized Minimum Spanning Tree: Polyhedra and Branch-and-Cut
We analyze the facial structure of the polytope associated to the GMSTP with the aim of nding \good" inequalities to strengthen our previous linear formulations. Several families of inequalities which are facet-inducing for the polytope of the GMSTP are investigated. Our proofs of \facetness" for valid inequalities of the GMSTP polytope use tools developped in [3] and also classical results fro...
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ژورنال
عنوان ژورنال: EURO Journal on Computational Optimization
سال: 2015
ISSN: 2192-4406,2192-4414
DOI: 10.1007/s13675-015-0042-y