{"id":"https://openalex.org/W4212848003","doi":"https://doi.org/10.1134/s0005117922010076","title":"On Estimates of the Mean Queue Length for Single-Channel Queuing Systems in Terms of Statistical Unconditional Second-Order Moments of the Modified Arrival Flow","display_name":"On Estimates of the Mean Queue Length for Single-Channel Queuing Systems in Terms of Statistical Unconditional Second-Order Moments of the Modified Arrival Flow","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4212848003","doi":"https://doi.org/10.1134/s0005117922010076"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117922010076","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117922010076","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029178924","display_name":"B. Ya. Likhttsinder","orcid":"https://orcid.org/0000-0003-0691-2273"},"institutions":[{"id":"https://openalex.org/I4210145445","display_name":"Povolzhskiy State University of Telecommunications and Informatics","ror":"https://ror.org/050q60w23","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210145445"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"B. Ya. Likhttsinder","raw_affiliation_strings":["Povolzhskiy State University of Telecommunications and Informatics, Samara, 443010, Russia"],"affiliations":[{"raw_affiliation_string":"Povolzhskiy State University of Telecommunications and Informatics, Samara, 443010, Russia","institution_ids":["https://openalex.org/I4210145445"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036989241","display_name":"I. A. Blatov","orcid":"https://orcid.org/0000-0001-6215-8311"},"institutions":[{"id":"https://openalex.org/I4210145445","display_name":"Povolzhskiy State University of Telecommunications and Informatics","ror":"https://ror.org/050q60w23","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210145445"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. A. Blatov","raw_affiliation_strings":["Povolzhskiy State University of Telecommunications and Informatics, Samara, 443010, Russia"],"affiliations":[{"raw_affiliation_string":"Povolzhskiy State University of Telecommunications and Informatics, Samara, 443010, Russia","institution_ids":["https://openalex.org/I4210145445"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110736958","display_name":"E. V. Kitaeva","orcid":null},"institutions":[{"id":"https://openalex.org/I3124489027","display_name":"Samara National Research University","ror":"https://ror.org/05ggagb37","country_code":"RU","type":"education","lineage":["https://openalex.org/I3124489027"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. V. Kitaeva","raw_affiliation_strings":["Samara University, Samara, 443086, Russia"],"affiliations":[{"raw_affiliation_string":"Samara University, Samara, 443086, Russia","institution_ids":["https://openalex.org/I3124489027"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110736958"],"corresponding_institution_ids":["https://openalex.org/I3124489027"],"apc_list":null,"apc_paid":null,"fwci":0.405,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63320427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"83","issue":"1","first_page":"92","last_page":"105"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.988099992275238,"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"}},{"id":"https://openalex.org/T13983","display_name":"Cybersecurity and Information Systems","score":0.9835000038146973,"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/ergodicity","display_name":"Ergodicity","score":0.7713013887405396},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6916271448135376},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.6683473587036133},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.602717399597168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5879682898521423},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5227743983268738},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.502962052822113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44846639037132263},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4349468946456909},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2743086814880371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2661837935447693},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13558822870254517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10474440455436707},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06122082471847534}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.7713013887405396},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6916271448135376},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6683473587036133},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.602717399597168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5879682898521423},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5227743983268738},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.502962052822113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44846639037132263},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4349468946456909},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2743086814880371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2661837935447693},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13558822870254517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10474440455436707},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06122082471847534},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117922010076","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117922010076","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W199485464","https://openalex.org/W2008562973","https://openalex.org/W2048144767","https://openalex.org/W2058768269","https://openalex.org/W2082062155","https://openalex.org/W2101969505","https://openalex.org/W2105818147","https://openalex.org/W2750566925","https://openalex.org/W4247335238"],"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/W3124353475","https://openalex.org/W1983525059","https://openalex.org/W2102951916","https://openalex.org/W4287660309","https://openalex.org/W2560380744"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,13],"mathematical":[3],"model":[4,44],"of":[5,20,28,45,54,68,72,84,90],"the":[6,18,29,33,46,52,62,73,94],"simplest":[7],"single-channel":[8],"queuing":[9],"system":[10],"(QS)":[11],"with":[12],"deterministic":[14],"service":[15],"time":[16],"in":[17,66],"case":[19],"an":[21,57],"arbitrarily":[22],"correlated":[23],"arrival":[24,47],"flow.":[25],"Various":[26],"generalizations":[27],"Pollaczek\u2013Khinchine":[30],"formula":[31],"for":[32,39,61],"mean":[34,63],"queue":[35,64],"length":[36,65],"are":[37,78,97],"obtained":[38,60,79],"this":[40,55],"QS.":[41],"An":[42],"interval":[43],"flow":[48],"is":[49,59],"proposed.":[50],"Within":[51],"framework":[53],"model,":[56],"expression":[58],"terms":[67],"statistical":[69],"unconditional":[70],"moments":[71],"second":[74],"order.":[75],"All":[76],"results":[77,89],"under":[80],"very":[81],"general":[82],"assumptions":[83],"ergodicity":[85],"and":[86],"stationarity.":[87],"The":[88],"numerical":[91],"experiments":[92],"confirming":[93],"theoretical":[95],"conclusions":[96],"presented.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}