{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/decomposition-based-refinement-for-the","title":"Decomposition Based Refinement for the Network Interdiction Problem","arxiv_id":"2307.07577","date":"2023-07-14","proceeding":null,"authors":["Krish Matta","Xiaoyuan Liu","Ilya Safro"],"abstract":"The shortest path network interdiction (SPNI) problem poses significant computational challenges due to its NP-hardness. Current solutions, primarily based on integer programming methods, are inefficient for large-scale instances. In this paper, we introduce a novel hybrid algorithm that can utilize Ising Processing Units (IPUs) alongside classical solvers. This approach decomposes the problem into manageable sub-problems, which are then offloaded to the slow but high-quality classical solvers or IPU. Results are subsequently recombined to form a global solution. Our method demonstrates comparable quality to existing whole problem solvers while reducing computational time for large-scale instances. Furthermore, our approach is amenable to parallelization, allowing for simultaneous processing of decomposed sub-problems.","url_abs":"https://arxiv.org/abs/2307.07577v2","url_pdf":"https://arxiv.org/pdf/2307.07577v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"decomposition-based-refinement-for-the","repo_url":"https://github.com/krishxmatta/network-interdiction","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}