{"id":"https://openalex.org/W4213421790","doi":"https://doi.org/10.3390/axioms11030091","title":"Local Optimality of Mixed Reliability for Several Classes of Networks with Fixed Sizes","display_name":"Local Optimality of Mixed Reliability for Several Classes of Networks with Fixed Sizes","publication_year":2022,"publication_date":"2022-02-24","ids":{"openalex":"https://openalex.org/W4213421790","doi":"https://doi.org/10.3390/axioms11030091"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11030091","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030091","pdf_url":"https://www.mdpi.com/2075-1680/11/3/91/pdf?version=1645697053","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/3/91/pdf?version=1645697053","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5104031833","display_name":"Lixin Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lixin Dong","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining 810008, China","The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China"],"affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078200110","display_name":"Haixing Zhao","orcid":"https://orcid.org/0000-0003-0957-1603"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haixing Zhao","raw_affiliation_strings":["Academy of Plateau, Science and Sustainability, Xining 810008, China","School of Computer, Qinghai Normal University, Xining 810008, China","The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China"],"affiliations":[{"raw_affiliation_string":"Academy of Plateau, Science and Sustainability, Xining 810008, China","institution_ids":[]},{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090130186","display_name":"Hong\u2010Jian Lai","orcid":"https://orcid.org/0000-0001-7698-2125"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong-Jian Lai","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078200110"],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1522,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.42250565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"11","issue":"3","first_page":"91","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7389543056488037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6480088233947754},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5330345034599304},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3812648057937622},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3310251235961914},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.326943039894104},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.14382359385490417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05016285181045532}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7389543056488037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6480088233947754},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5330345034599304},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3812648057937622},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3310251235961914},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.326943039894104},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.14382359385490417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05016285181045532},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11030091","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030091","pdf_url":"https://www.mdpi.com/2075-1680/11/3/91/pdf?version=1645697053","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f006c0d8a1634d99b03556e8821f3c7a","is_oa":true,"landing_page_url":"https://doaj.org/article/f006c0d8a1634d99b03556e8821f3c7a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 3, p 91 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/3/91/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11030091","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 3; Pages: 91","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11030091","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030091","pdf_url":"https://www.mdpi.com/2075-1680/11/3/91/pdf?version=1645697053","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4213421790.pdf","grobid_xml":"https://content.openalex.org/works/W4213421790.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1983669327","https://openalex.org/W1987123527","https://openalex.org/W1993785174","https://openalex.org/W2006458315","https://openalex.org/W2039700046","https://openalex.org/W2065282816","https://openalex.org/W2066303074","https://openalex.org/W2068484326","https://openalex.org/W2069680987","https://openalex.org/W2075312576","https://openalex.org/W2079375590","https://openalex.org/W2084227912","https://openalex.org/W2088535325","https://openalex.org/W2095170343","https://openalex.org/W2099962716","https://openalex.org/W2121233386","https://openalex.org/W2161228256","https://openalex.org/W2163162825","https://openalex.org/W3020164697","https://openalex.org/W4238426377","https://openalex.org/W6689770090"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W1922851888","https://openalex.org/W3111310291"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,22,26,34],"local":[4,23],"optimality":[5,24],"of":[6,9,25,29],"mixed":[7,27,42],"reliability":[8,14,28],"networks":[10,30,44,48],"is":[11,31],"surveyed.":[12],"A":[13],"comparison":[15,35],"criterion":[16],"related":[17],"with":[18,49],"subgraphs":[19],"to":[20],"measure":[21],"established.":[32],"Using":[33],"criterion,":[36],"we":[37],"characterize":[38],"all":[39,46],"locally":[40],"optimally":[41],"reliable":[43],"among":[45],"n-vertex":[47],"fixed":[50],"sizes":[51],"m=n,":[52],"m=n+1":[53],"and":[54],"m=n+2,":[55],"respectively.":[56]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-02-25T00:00:00"}
