{"id":"https://openalex.org/W4409097227","doi":"https://doi.org/10.3390/computation13040089","title":"Invariance of Stationary Distributions of Exponential Networks with Prohibitions and Determination of Maximum Prohibitions","display_name":"Invariance of Stationary Distributions of Exponential Networks with Prohibitions and Determination of Maximum Prohibitions","publication_year":2025,"publication_date":"2025-04-01","ids":{"openalex":"https://openalex.org/W4409097227","doi":"https://doi.org/10.3390/computation13040089"},"language":"en","primary_location":{"id":"doi:10.3390/computation13040089","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040089","pdf_url":"https://www.mdpi.com/2079-3197/13/4/89/pdf?version=1743500628","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/13/4/89/pdf?version=1743500628","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078757363","display_name":"\u0413. \u0428. \u0426\u0438\u0446\u0438\u0430\u0448\u0432\u0438\u043b\u0438","orcid":"https://orcid.org/0000-0003-2600-0474"},"institutions":[{"id":"https://openalex.org/I4210097402","display_name":"Institute of Chemistry, Far Eastern Branch of the Russian Academy of Sciences","ror":"https://ror.org/00wp2bj27","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210097402","https://openalex.org/I4210145551","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I4210148470","display_name":"Far Eastern Branch of the Russian Academy of Sciences","ror":"https://ror.org/05t43vz03","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Gurami Tsitsiashvili","raw_affiliation_strings":["Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, IAM FEB RAS, Radio Str. 7, 690041 Vladivostok, Russia"],"raw_orcid":"https://orcid.org/0000-0003-2600-0474","affiliations":[{"raw_affiliation_string":"Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, IAM FEB RAS, Radio Str. 7, 690041 Vladivostok, Russia","institution_ids":["https://openalex.org/I4210097402","https://openalex.org/I4210148470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045628070","display_name":"M. A. Osipova","orcid":"https://orcid.org/0000-0001-5615-9449"},"institutions":[{"id":"https://openalex.org/I204947315","display_name":"Far Eastern Federal University","ror":"https://ror.org/0412y9z21","country_code":"RU","type":"education","lineage":["https://openalex.org/I204947315"]},{"id":"https://openalex.org/I4210097402","display_name":"Institute of Chemistry, Far Eastern Branch of the Russian Academy of Sciences","ror":"https://ror.org/00wp2bj27","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210097402","https://openalex.org/I4210145551","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I4210148470","display_name":"Far Eastern Branch of the Russian Academy of Sciences","ror":"https://ror.org/05t43vz03","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Marina Osipova","raw_affiliation_strings":["Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, IAM FEB RAS, Radio Str. 7, 690041 Vladivostok, Russia","Institute for Applied Mathematics, Far Eastern Federal University, 690922 Vladivostok, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5615-9449","affiliations":[{"raw_affiliation_string":"Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, IAM FEB RAS, Radio Str. 7, 690041 Vladivostok, Russia","institution_ids":["https://openalex.org/I4210097402","https://openalex.org/I4210148470"]},{"raw_affiliation_string":"Institute for Applied Mathematics, Far Eastern Federal University, 690922 Vladivostok, Russia","institution_ids":["https://openalex.org/I204947315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078757363"],"corresponding_institution_ids":["https://openalex.org/I4210097402","https://openalex.org/I4210148470"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.0307,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85406879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"4","first_page":"89","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13283","display_name":"Mental Health Research Topics","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9684000015258789,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5618182420730591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49475425481796265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39735502004623413},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33107709884643555},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28932836651802063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17678329348564148}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5618182420730591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49475425481796265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39735502004623413},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33107709884643555},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28932836651802063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17678329348564148}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation13040089","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040089","pdf_url":"https://www.mdpi.com/2079-3197/13/4/89/pdf?version=1743500628","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2fdbc83945a3461887d72882b35ea7a3","is_oa":true,"landing_page_url":"https://doaj.org/article/2fdbc83945a3461887d72882b35ea7a3","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":"Computation, Vol 13, Iss 4, p 89 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation13040089","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040089","pdf_url":"https://www.mdpi.com/2079-3197/13/4/89/pdf?version=1743500628","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323858","display_name":"Far East Branch, Russian Academy of Sciences","ror":"https://ror.org/05t43vz03"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409097227.pdf","grobid_xml":"https://content.openalex.org/works/W4409097227.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1974710463","https://openalex.org/W1988584731","https://openalex.org/W2018482867","https://openalex.org/W2049635067","https://openalex.org/W2060840612","https://openalex.org/W2066415325","https://openalex.org/W2077095314","https://openalex.org/W2140391518","https://openalex.org/W2274117043","https://openalex.org/W3014110206","https://openalex.org/W4246191091","https://openalex.org/W4382136258"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2369988800","https://openalex.org/W4287905284"],"abstract_inverted_index":{"The":[0],"paper":[1],"considers":[2],"queuing":[3],"networks":[4],"with":[5,103,152],"prohibitions":[6],"on":[7],"transitions":[8],"between":[9],"network":[10,24,67],"nodes":[11],"that":[12,54,81,113,121],"determine":[13],"the":[14,20,35,42,55,59,63,66,82,87,93,99,104,109,122,125],"protocol":[15],"of":[16,22,28,37,44,48,58,65,84,86,89,95,98,106,108,124,127,149,159],"their":[17,132],"operation.":[18],"In":[19,70,141],"graph":[21,88,115],"transient":[23,90,150],"intensities,":[25,91],"a":[26,96,153],"set":[27,83,105,158],"base":[29,100,129],"vertices":[30,85,130],"is":[31,68,79,119],"allocated":[32],"(proportional":[33],"to":[34,75,131,137],"number":[36,126,134],"edges),":[38],"and":[39,112,163],"we":[40,144],"raise":[41],"question":[43],"whether":[45],"some":[46,156],"subset":[47,97],"it":[49,78],"can":[50],"be":[51,76,116],"deleted":[52],"such":[53],"stationary":[56],"distribution":[57],"Markov":[60,110],"process":[61,111],"describing":[62],"functioning":[64],"preserved.":[69],"order":[71],"for":[72,139,147,161],"this":[73,114,142],"condition":[74],"fulfilled,":[77],"sufficient":[80],"after":[92],"removal":[94],"vertices,":[101],"coincide":[102],"states":[107],"connected.":[117],"It":[118],"proved":[120],"ratio":[123],"remaining":[128],"total":[133],"n":[135],"converges":[136],"one-half":[138],"n\u2192\u221e.":[140],"paper,":[143],"are":[145],"looking":[146],"graphs":[148],"intensities":[151],"minimum":[154],"(in":[155],"sense)":[157],"edges":[160],"open":[162],"closed":[164],"service":[165],"networks.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
