In this paper, we consider the Steiner problem in graphs, which is the problem of connecting together, at minimum cost, a number of vertices in an undirected graph with nonnegative edge costs. We use the formulation of this problem as a shortest spanning tree (SST) problem with additional constraint
A grid-enabled distributed branch-and-bound algorithm with application on the Steiner Problem in graphs
✍ Scribed by Lúcia M.A. Drummond; Eduardo Uchoa; Alexandre D. Gonçalves; Juliana M.N. Silva; Marcelo C.P. Santos; Maria Clícia S. de Castro
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 201 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-8191
No coin nor oath required. For personal study only.
✦ Synopsis
This work introduces a distributed branch-and-bound algorithm to be run on computational Grids. Grids are often organized in a hierarchical fashion: clusters of processors connected via high-speed links, while the clusters themselves are geographically distant and connected through slower links. Our algorithm does not employ the usual master-worker paradigm and it considers the hierarchical structure of Grids in its load balance and fault tolerance procedures. This algorithm was applied over an existing code for the Steiner Problem in graphs. Experiments on real Grid conditions have demonstrated its efficiency and scalability.
📜 SIMILAR VOLUMES
As a metaheuristic to obtain solutions of enhanced quality, we formulate the so-called pilot method. It is a tempered greedy method that is to avoid the greedy trap by looking ahead for each possible choice (memorizing the best result). Repeatedly, a so-called master solution is modified, each time
In this paper, we investigate a probabilistic local majority polling game on weighted directed graphs, keeping an application to the distributed agreement problem in mind. We formulate the game as a Markov chain, where an absorbing state corresponds to a system configuration that an agreement is ach