{"id":"https://openalex.org/W2079399878","doi":"https://doi.org/10.1007/s10626-012-0135-1","title":"A functional approximation for the M/G/1/N queue","display_name":"A functional approximation for the M/G/1/N queue","publication_year":2012,"publication_date":"2012-04-13","ids":{"openalex":"https://openalex.org/W2079399878","doi":"https://doi.org/10.1007/s10626-012-0135-1","mag":"2079399878"},"language":"en","primary_location":{"id":"doi:10.1007/s10626-012-0135-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10626-012-0135-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10626-012-0135-1.pdf","source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Event Dynamic Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10626-012-0135-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074106817","display_name":"Karim Abbas","orcid":"https://orcid.org/0000-0001-6118-2889"},"institutions":[{"id":"https://openalex.org/I187560010","display_name":"University of B\u00e9ja\u00efa","ror":"https://ror.org/03yb2hp88","country_code":"DZ","type":"education","lineage":["https://openalex.org/I187560010"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Karim Abbas","raw_affiliation_strings":["LAMOS, University of Bejaia, Bejaia, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMOS, University of Bejaia, Bejaia, Algeria","institution_ids":["https://openalex.org/I187560010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069167370","display_name":"Bernd Heidergott","orcid":"https://orcid.org/0000-0002-3389-2311"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Bernd Heidergott","raw_affiliation_strings":["Department of Econometrics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Econometrics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038339099","display_name":"Djamil A\u0131\u0308ssani","orcid":"https://orcid.org/0000-0002-5851-0690"},"institutions":[{"id":"https://openalex.org/I187560010","display_name":"University of B\u00e9ja\u00efa","ror":"https://ror.org/03yb2hp88","country_code":"DZ","type":"education","lineage":["https://openalex.org/I187560010"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Djamil A\u00efssani","raw_affiliation_strings":["LAMOS, University of Bejaia, Bejaia, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMOS, University of Bejaia, Bejaia, Algeria","institution_ids":["https://openalex.org/I187560010"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069167370"],"corresponding_institution_ids":["https://openalex.org/I865915315"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":3.6168,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.92690347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"1","first_page":"93","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9829000234603882,"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/taylor-series","display_name":"Taylor series","score":0.8854809999465942},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.7620452046394348},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.671333372592926},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.621213972568512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48935049772262573},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.48045438528060913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46134406328201294},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4351280629634857},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.43211910128593445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3318019211292267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25417619943618774},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12375819683074951},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11785843968391418}],"concepts":[{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.8854809999465942},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.7620452046394348},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.671333372592926},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.621213972568512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48935049772262573},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.48045438528060913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46134406328201294},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4351280629634857},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.43211910128593445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3318019211292267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25417619943618774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12375819683074951},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11785843968391418},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/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/s10626-012-0135-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10626-012-0135-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10626-012-0135-1.pdf","source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Event Dynamic Systems","raw_type":"journal-article"},{"id":"pmh:vu:oai:research.vu.nl:publications/ad7f9dd5-5822-4843-9806-cb3599233384","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/ad7f9dd5-5822-4843-9806-cb3599233384","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Event Dynamic Systems, 23(1), 93 - 104. Springer Netherlands","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10626-012-0135-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10626-012-0135-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10626-012-0135-1.pdf","source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Event Dynamic Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2079399878.pdf","grobid_xml":"https://content.openalex.org/works/W2079399878.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W108513215","https://openalex.org/W1593699361","https://openalex.org/W1976211166","https://openalex.org/W2001921561","https://openalex.org/W2015840019","https://openalex.org/W2018679441","https://openalex.org/W2058715110","https://openalex.org/W2081486305","https://openalex.org/W2101246601","https://openalex.org/W2106219446","https://openalex.org/W2132775962","https://openalex.org/W2152530926","https://openalex.org/W2154531348","https://openalex.org/W2168934542","https://openalex.org/W2170807404","https://openalex.org/W3104681144"],"related_works":["https://openalex.org/W4389072382","https://openalex.org/W130630651","https://openalex.org/W2361691867","https://openalex.org/W2047770421","https://openalex.org/W4306403495","https://openalex.org/W4317669770","https://openalex.org/W4226069104","https://openalex.org/W3021117782","https://openalex.org/W2031465135","https://openalex.org/W1678170666"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,15],"new":[4],"approach":[5],"to":[6,55],"the":[7,11,26,30,48],"functional":[8],"approximation":[9,52],"of":[10,29,57],"M/G/1/N":[12],"built":[13],"on":[14],"Taylor":[16,31,50],"series":[17,32,51],"approach.":[18],"Specifically,":[19],"we":[20,42],"establish":[21],"an":[22,38],"approximative":[23],"expression":[24],"for":[25],"remainder":[27],"term":[28],"that":[33],"can":[34],"be":[35,56],"computed":[36],"in":[37],"efficient":[39],"manner.":[40],"As":[41],"will":[43],"illustrate":[44],"with":[45],"numerical":[46],"examples,":[47],"resulting":[49],"turns":[53],"out":[54],"practical":[58],"value.":[59]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
