Replication for Logic Bipartitioning

Logic replication, the duplication of logic in order to limit communication between partitions, is an effective part of a complete partitioning solution. In this paper we seek a better understanding of the important issues in logic replication. By developing new optimizations to existing algorithms we are able to significantly improve the quality of these techniques, achieving up to 12.5 % better results than the best existing replication techniques. When integrated into our already state-of-the-art partitioner, we improve overall cutsizes by 37.8%, while requiring the duplication of at most 7 % of the logic.

Constrained Min-Cut replication for K-Way hypergraph partitioning

Cataloged from PDF version of article.Replication is a widely-used technique in information retrieval and database systems for providing fault tolerance and reducing parallelization and processing costs. Combinatorial models based on hypergraph partitioning are proposed for various problems arising in information retrieval and database systems. We consider the possibility of using vertex replication to improve the quality of hypergraph partitioning. In this study, we focus on the constrained min-cut replication (CMCR) problem, where we are initially given a maximum replication capacity and a K-way hypergraph partition with an initial imbalance ratio. The objective in the CMCR problem is finding the optimal vertex replication sets for each part of the given partition such that the initial cut size of the partition is minimized, where the initial imbalance is either preserved or reduced under the given replication capacity constraint. In this study, we present a complexity analysis of the CMCR problem and propose a model based on a unique blend of coarsening and integer linear programming (ILP) schemes. This coarsening algorithm is derived from a novel utilization of the Dulmage-Mendelsohn decomposition. Experiments show that the ILP formulation coupled with the Dulmage-Mendelsohn decomposition-based coarsening provides high quality results in practical execution times for reducing the cut size of a given K-way hypergraph partition. © 2014 INFORMS