{"id":"https://openalex.org/W3177601699","doi":"https://doi.org/10.1051/ro/2021101","title":"Ergodicity and perturbation bounds for<i>M<sub>t</sub></i>/<i>M<sub>t</sub></i>/1 queue with balking, catastrophes, server failures and repairs","display_name":"Ergodicity and perturbation bounds for<i>M<sub>t</sub></i>/<i>M<sub>t</sub></i>/1 queue with balking, catastrophes, server failures and repairs","publication_year":2021,"publication_date":"2021-07-01","ids":{"openalex":"https://openalex.org/W3177601699","doi":"https://doi.org/10.1051/ro/2021101","mag":"3177601699"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2021101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/05/ro210072.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/05/ro210072.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056918489","display_name":"Alexander Zeifman","orcid":"https://orcid.org/0000-0002-7855-3364"},"institutions":[{"id":"https://openalex.org/I137513774","display_name":"Vologda State University","ror":"https://ror.org/05hcp8p49","country_code":"RU","type":"education","lineage":["https://openalex.org/I137513774"]},{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210092286","display_name":"Institute of Informatics Problems","ror":"https://ror.org/00n8bqs64","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210092286"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Zeifman","raw_affiliation_strings":["Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia","Vologda State University, Institute of Informatics Problems, FRC CSC RAS, Vologda Research Center RAS, Vologda, Russia"],"raw_orcid":"https://orcid.org/0000-0002-7855-3364","affiliations":[{"raw_affiliation_string":"Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Vologda State University, Institute of Informatics Problems, FRC CSC RAS, Vologda Research Center RAS, Vologda, Russia","institution_ids":["https://openalex.org/I137513774","https://openalex.org/I4210092286"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040777866","display_name":"Yacov Satin","orcid":"https://orcid.org/0000-0002-4168-1071"},"institutions":[{"id":"https://openalex.org/I137513774","display_name":"Vologda State University","ror":"https://ror.org/05hcp8p49","country_code":"RU","type":"education","lineage":["https://openalex.org/I137513774"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yacov Satin","raw_affiliation_strings":["Vologda State University, Vologda, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vologda State University, Vologda, Russia","institution_ids":["https://openalex.org/I137513774"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014111098","display_name":"Ivan Kovalev","orcid":null},"institutions":[{"id":"https://openalex.org/I137513774","display_name":"Vologda State University","ror":"https://ror.org/05hcp8p49","country_code":"RU","type":"education","lineage":["https://openalex.org/I137513774"]},{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ivan Kovalev","raw_affiliation_strings":["Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia","Vologda State University, Vologda, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Vologda State University, Vologda, Russia","institution_ids":["https://openalex.org/I137513774"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017905586","display_name":"Sherif I. Ammar","orcid":"https://orcid.org/0000-0002-9027-2354"},"institutions":[{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Sherif I. Ammar","raw_affiliation_strings":["Department of Mathematics, College of Science, Taibah University, Medinah, Saudi Arabia","Department of Mathematics, Faculty of Science, Menofia University, Shebin El Kom, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Taibah University, Medinah, Saudi Arabia","institution_ids":["https://openalex.org/I23075662"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Menofia University, Shebin El Kom, Egypt","institution_ids":["https://openalex.org/I63601056"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056918489"],"corresponding_institution_ids":["https://openalex.org/I137513774","https://openalex.org/I19880235","https://openalex.org/I4210092286"],"apc_list":null,"apc_paid":null,"fwci":0.6559,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7416417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"55","issue":"4","first_page":"2223","last_page":"2240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":1.0,"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":1.0,"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/T11720","display_name":"Probability and Risk Models","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.7464044690132141},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6595655679702759},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6512995958328247},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.6134247183799744},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5915147066116333},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5019679069519043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4587346613407135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4451844394207001},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4335249364376068},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.426169753074646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37251392006874084},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35837236046791077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2341209352016449},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23122018575668335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20895642042160034},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09745639562606812},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08840411901473999},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06575348973274231}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.7464044690132141},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6595655679702759},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6512995958328247},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.6134247183799744},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5915147066116333},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5019679069519043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4587346613407135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4451844394207001},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4335249364376068},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.426169753074646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37251392006874084},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35837236046791077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2341209352016449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23122018575668335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20895642042160034},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09745639562606812},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08840411901473999},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06575348973274231},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2021101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/05/ro210072.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2021101","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021101","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/05/ro210072.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3841625775","display_name":null,"funder_award_id":"19-11-00020","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3177601699.pdf","grobid_xml":"https://content.openalex.org/works/W3177601699.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1576754181","https://openalex.org/W1995121809","https://openalex.org/W2025481810","https://openalex.org/W2067688232","https://openalex.org/W2069219508","https://openalex.org/W2124905522","https://openalex.org/W2147518013","https://openalex.org/W2149437788","https://openalex.org/W2156249942","https://openalex.org/W2293706635","https://openalex.org/W2296136832","https://openalex.org/W2328158271","https://openalex.org/W2757957954","https://openalex.org/W2779891196","https://openalex.org/W2801331711","https://openalex.org/W2805110963","https://openalex.org/W2811414488","https://openalex.org/W2982800242","https://openalex.org/W2998864196","https://openalex.org/W3089419020","https://openalex.org/W3098602021","https://openalex.org/W3101343358","https://openalex.org/W3117652434","https://openalex.org/W3122601265","https://openalex.org/W4384300610"],"related_works":["https://openalex.org/W2313545085","https://openalex.org/W2381286475","https://openalex.org/W2152685658","https://openalex.org/W3091331701","https://openalex.org/W2392918297","https://openalex.org/W2102951916","https://openalex.org/W3124353475","https://openalex.org/W4287660309","https://openalex.org/W2560380744","https://openalex.org/W2160518870"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,58],"display":[4],"methods":[5],"for":[6,14],"the":[7,31,37,40,47,52,60],"computation":[8],"of":[9,34,42,51,62],"convergence":[10],"and":[11,27,46],"perturbation":[12,44],"bounds":[13,38],"M":[15,18],"t":[16,19],"/":[17],"/1":[20],"system":[21],"with":[22],"balking,":[23],"catastrophes,":[24],"server":[25],"failures":[26],"repairs.":[28],"Based":[29],"on":[30,39],"logarithmic":[32],"norm":[33],"linear":[35],"operators,":[36],"rate":[41],"convergence,":[43],"bounds,":[45],"main":[48],"limiting":[49],"characteristics":[50],"queue-length":[53],"process":[54],"are":[55],"obtained.":[56],"Finally,":[57],"consider":[59],"application":[61],"all":[63],"obtained":[64],"estimates":[65],"to":[66],"a":[67],"specific":[68],"model.":[69]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
