{"id":"https://openalex.org/W2999585996","doi":"https://doi.org/10.1007/s11134-019-09644-9","title":"Stationary distributions and convergence for M/M/1 queues in interactive random environment","display_name":"Stationary distributions and convergence for M/M/1 queues in interactive random environment","publication_year":2020,"publication_date":"2020-01-08","ids":{"openalex":"https://openalex.org/W2999585996","doi":"https://doi.org/10.1007/s11134-019-09644-9","mag":"2999585996"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-019-09644-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-019-09644-9","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","0340-4384","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","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/A5064855799","display_name":"Guodong Pang","orcid":"https://orcid.org/0000-0001-6468-0429"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guodong Pang","raw_affiliation_strings":["Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA"],"raw_orcid":"https://orcid.org/0000-0001-6468-0429","affiliations":[{"raw_affiliation_string":"Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035530377","display_name":"Andrey Sarantsev","orcid":"https://orcid.org/0000-0002-7415-4892"},"institutions":[{"id":"https://openalex.org/I134113660","display_name":"University of Nevada, Reno","ror":"https://ror.org/01keh0577","country_code":"US","type":"education","lineage":["https://openalex.org/I134113660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrey Sarantsev","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Nevada in Reno, Reno, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Nevada in Reno, Reno, USA","institution_ids":["https://openalex.org/I134113660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071359898","display_name":"Ya. I. Belopolskaya","orcid":"https://orcid.org/0000-0002-8303-2571"},"institutions":[{"id":"https://openalex.org/I213615327","display_name":"Saint Petersburg State University of Architecture and Civil Engineering","ror":"https://ror.org/01favr389","country_code":"RU","type":"education","lineage":["https://openalex.org/I213615327"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yana Belopolskaya","raw_affiliation_strings":["Petersburg Department of Mathematical Institute of Russian Academy of Science, Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Petersburg Department of Mathematical Institute of Russian Academy of Science, Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I213615327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109883721","display_name":"Yuri Suhov","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Yuri Suhov","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA","Statistical Laboratory, University of Cambridge, Cambridge, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Statistical Laboratory, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064855799"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.5154,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8421617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"94","issue":"3-4","first_page":"357","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11720","display_name":"Probability and Risk Models","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6183871030807495},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.6044725775718689},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5708353519439697},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5563783645629883},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.47743210196495056},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47448232769966125},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4669986963272095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4610345661640167},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.4542336165904999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44016915559768677},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4298862814903259},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42514997720718384},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3751954734325409},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12438103556632996},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09017720818519592},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.07367801666259766}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6183871030807495},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.6044725775718689},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5708353519439697},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5563783645629883},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.47743210196495056},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47448232769966125},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4669986963272095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4610345661640167},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.4542336165904999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44016915559768677},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4298862814903259},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42514997720718384},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3751954734325409},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12438103556632996},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09017720818519592},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.07367801666259766},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11134-019-09644-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-019-09644-9","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","0340-4384","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:queues:v:94:y:2020:i:3:d:10.1007_s11134-019-09644-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s11134-019-09644-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W123658300","https://openalex.org/W591843375","https://openalex.org/W614186738","https://openalex.org/W755194005","https://openalex.org/W1487626875","https://openalex.org/W1580561995","https://openalex.org/W1600293573","https://openalex.org/W1842470732","https://openalex.org/W1970030120","https://openalex.org/W1976996324","https://openalex.org/W1986415425","https://openalex.org/W1996097431","https://openalex.org/W2008101007","https://openalex.org/W2017880605","https://openalex.org/W2041355784","https://openalex.org/W2041979006","https://openalex.org/W2049776652","https://openalex.org/W2053491613","https://openalex.org/W2067090246","https://openalex.org/W2067578895","https://openalex.org/W2070893852","https://openalex.org/W2071698482","https://openalex.org/W2073348737","https://openalex.org/W2075313566","https://openalex.org/W2079184994","https://openalex.org/W2085403380","https://openalex.org/W2116659221","https://openalex.org/W2121918042","https://openalex.org/W2122675668","https://openalex.org/W2128483867","https://openalex.org/W2150786194","https://openalex.org/W2154602821","https://openalex.org/W2171232352","https://openalex.org/W2230876915","https://openalex.org/W2312813782","https://openalex.org/W2335618578","https://openalex.org/W2400955843","https://openalex.org/W2409109208","https://openalex.org/W2739878036","https://openalex.org/W2885549115","https://openalex.org/W2913294497","https://openalex.org/W2960512872","https://openalex.org/W2963496163","https://openalex.org/W2963526805","https://openalex.org/W2972801767","https://openalex.org/W3001835347","https://openalex.org/W3039948875","https://openalex.org/W3102693982","https://openalex.org/W3102830730","https://openalex.org/W4232681534","https://openalex.org/W4237699443","https://openalex.org/W4292027175","https://openalex.org/W4298401620","https://openalex.org/W6601012095","https://openalex.org/W6776777360"],"related_works":["https://openalex.org/W1964887314","https://openalex.org/W4253779352","https://openalex.org/W4386754708","https://openalex.org/W2384643754","https://openalex.org/W2385142208","https://openalex.org/W2376114879","https://openalex.org/W637836605","https://openalex.org/W2059586439","https://openalex.org/W2513845202","https://openalex.org/W2963398804"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}