Experimental Evaluation of a Parallel Max-Flow Algorithm

The maximum flow problem has been studied for over forty years. One of the methods for solving this problem is the generic push-relabel algorithm. In this paper we develop a parallel version of this sequential algorithm. Our assumed model of computation is a shared-memory multiprocessor. We describe a concrete implementation of the algorithm based on the PVM package, and present the obtained numerical results

Efficient Implementation of a Synchronous Parallel Push-Relabel Algorithm

Motivated by the observation that FIFO-based push-relabel algorithms are able to outperform highest label-based variants on modern, large maximum flow problem instances, we introduce an efficient implementation of the algorithm that uses coarse-grained parallelism to avoid the problems of existing parallel approaches. We demonstrate good relative and absolute speedups of our algorithm on a set of large graph instances taken from real-world applications. On a modern 40-core machine, our parallel implementation outperforms existing sequential implementations by up to a factor of 12 and other parallel implementations by factors of up to 3