Combined column-and-row-generation for the optimal communication spanning tree problem
نویسندگان
چکیده
منابع مشابه
On Optimal Solutions for the Optimal Communication Spanning Tree Problem
This paper presents an experimental investigation into the properties of the optimal communication spanning tree (OCST) problem. The OCST problem seeks a spanning tree that connects all the nodes and satisfies their communication requirements at a minimum total cost. The paper compares the properties of random trees to the properties of the best solutions for the OCST problem that are found usi...
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Lower and upper bounds for nding a minimum spanning tree (MST) in a weighted undirected graph on the BSP model are presented. We provide the rst non-trivial lower bounds on the communication volume required to solve the MST problem. Let p denote the number of processors, n the number of nodes of the input graph, and m the number of edges of the input graph. We show that in the worst case, a tot...
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Lower and upper bounds for nding a minimum spanning tree (MST) in a weighted undirected graph on the BSP model are presented. We provide the rst non-trivial lower bounds on the communication volume required to solve the MST problem. Let p denote the number of processors, n the number of nodes of the input graph, and m the number of edges of the input graph. We show that in the worst case a tota...
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The computational complexity and the approximation algorithms of the optimal p-source communication spanning tree (p-OCT) problem were investigated. Let G be an undirected graph with nonnegative edge lengths. Given p vertices as sources and all vertices as destinations, and also given arbitrary requirements between sources and destinations, we investigated the problem how to construct a spannin...
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ژورنال
عنوان ژورنال: Computers & Operations Research
سال: 2018
ISSN: 0305-0548
DOI: 10.1016/j.cor.2018.01.003