{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8468043","patent":{"patent_number":"US-8468043","title":"Networks with redundant points of presence using approximation methods and systems","assignee":null,"inventors":[],"filing_date":"2009-04-13T00:00:00.000Z","publication_date":"2013-06-18T00:00:00.000Z","cpc_codes":["H04W","H04W"],"num_claims":16,"abstract":"Methods, systems, and products determine minimum cost networks. A k-fold coverage formulation is applied to potential network elements having cost and coverage parameters. Iterative heuristics are used to find an optimal solution to the k-set coverage formulation. The approximate solutions to the k-set coverage formulation are then used to select at least some of the potential network elements for use in a minimum cost network."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Networks with redundant points of presence using approximation methods and systems","description":"Methods, systems, and products determine minimum cost networks. A k-fold coverage formulation is applied to potential network elements having cost and coverage parameters. Iterative heuristics are use","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8468043","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-8468043","citation_suggestion":"Patentable. \"Networks with redundant points of presence using approximation methods and systems\" (US-8468043). https://patentable.app/patents/US-8468043","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8468043","json":"https://patentable.app/api/llm-context/US-8468043","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T15:31:51.615Z"}