The maximum flow problem is a fundamental graph theory problem with many important applications. Max-flow algorithms based on the push-relabel method are known to have better complexity bound and faster practical execution speed than others. However, existing push-relabel algorithms are designed for uniprocessors or parallel processors that support locking primitives, thus making it very difficult to apply the push-relabel technique to CUDA-based GPUs. In this paper, we present a first generic parallel push-relabel algorithm for CUDA devices. We model the parallelization efficiency of the algorithm, which reveals that, for a given input graph, the level of parallelism varies during the execution of the algorithm. To maximize the execution efficiency, we develop a dynamically tuned algorithm that utilizes both CPU and GPU by adaptively switching between the two computing units during run time. We show that algorithm finds the maximum flow with O(|V|^2|E|) operations (summed over both the CPU and the GPU). Extensive experimental results show that the new algorithm is up to 2 times faster than the push-relabel algorithm by Goldberg et al.<\/p>\n","protected":false},"excerpt":{"rendered":"
The maximum flow problem is a fundamental graph theory problem with many important applications. Max-flow algorithms based on the push-relabel method are known to have better complexity bound and faster practical execution speed than others. However, existing push-relabel algorithms are designed for uniprocessors or parallel processors that support locking primitives, thus making it very difficult […]<\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[11,89,3],"tags":[1782,14,158,20,251],"class_list":["post-3122","post","type-post","status-publish","format-standard","hentry","category-computer-science","category-nvidia-cuda","category-paper","tag-computer-science","tag-cuda","tag-graph-theory","tag-nvidia","tag-nvidia-geforce-gtx-285"],"views":2492,"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/3122","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3122"}],"version-history":[{"count":0,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/3122\/revisions"}],"wp:attachment":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}