{"id":"https://openalex.org/W2007923615","doi":"https://doi.org/10.1007/s00186-013-0435-8","title":"On the $$M_t/M_t/K_t+M_t$$ queue in heavy traffic","display_name":"On the $$M_t/M_t/K_t+M_t$$ queue in heavy traffic","publication_year":2013,"publication_date":"2013-03-23","ids":{"openalex":"https://openalex.org/W2007923615","doi":"https://doi.org/10.1007/s00186-013-0435-8","mag":"2007923615"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-013-0435-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-013-0435-8","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research","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/A5053548743","display_name":"Anatolii A. Puhalskii","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"Anatolii A. Puhalskii","raw_affiliation_strings":["Institute for Problems in Information Transmission, Moscow, Russia","University of Colorado Denver, Denver, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Problems in Information Transmission, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"University of Colorado Denver, Denver, CO, USA","institution_ids":["https://openalex.org/I921990950"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053548743"],"corresponding_institution_ids":["https://openalex.org/I4210107660","https://openalex.org/I921990950"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.9827,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79914654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"78","issue":"1","first_page":"119","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9969000220298767,"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":0.9944999814033508,"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":0.6897724866867065},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.549894392490387},{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"Heavy traffic approximation","score":0.529594361782074},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5271391868591309},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5111940503120422},{"id":"https://openalex.org/keywords/heavy-traffic","display_name":"Heavy traffic","score":0.5077499151229858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4881201684474945},{"id":"https://openalex.org/keywords/burkes-theorem","display_name":"Burke's theorem","score":0.4874989986419678},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.41382041573524475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38980624079704285},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34556475281715393},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33867985010147095},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3342599868774414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32881563901901245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28049415349960327},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.2715553045272827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25581979751586914},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.23020055890083313},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.14847782254219055},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08191090822219849},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06804880499839783}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6897724866867065},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.549894392490387},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.529594361782074},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5271391868591309},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5111940503120422},{"id":"https://openalex.org/C3017960815","wikidata":"https://www.wikidata.org/wiki/Q1592638","display_name":"Heavy traffic","level":2,"score":0.5077499151229858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4881201684474945},{"id":"https://openalex.org/C66295387","wikidata":"https://www.wikidata.org/wiki/Q4998912","display_name":"Burke's theorem","level":5,"score":0.4874989986419678},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41382041573524475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38980624079704285},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34556475281715393},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33867985010147095},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3342599868774414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32881563901901245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28049415349960327},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.2715553045272827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25581979751586914},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23020055890083313},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.14847782254219055},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08191090822219849},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06804880499839783},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00186-013-0435-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-013-0435-8","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:78:y:2013:i:1:p:119-148","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-013-0435-8","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":"","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":19,"referenced_works":["https://openalex.org/W1555658755","https://openalex.org/W1569544946","https://openalex.org/W1629501955","https://openalex.org/W1680304211","https://openalex.org/W1967141673","https://openalex.org/W1971170413","https://openalex.org/W1995245183","https://openalex.org/W1995713768","https://openalex.org/W2017032949","https://openalex.org/W2057684138","https://openalex.org/W2121605635","https://openalex.org/W2126794261","https://openalex.org/W2143626226","https://openalex.org/W2144005446","https://openalex.org/W2499696415","https://openalex.org/W3101606912","https://openalex.org/W3159091133","https://openalex.org/W4213329537","https://openalex.org/W4249599116"],"related_works":["https://openalex.org/W2334541966","https://openalex.org/W4236668203","https://openalex.org/W2469638628","https://openalex.org/W2516950796","https://openalex.org/W1977475362","https://openalex.org/W2024909964","https://openalex.org/W2771336387","https://openalex.org/W1008411807","https://openalex.org/W51665238","https://openalex.org/W2007923615"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
