{"id":"https://openalex.org/W1523455926","doi":"https://doi.org/10.1023/a:1019161120564","title":"Tail probabilities of low-priority waiting times and queue lengths in MAP/GI/1 queues","display_name":"Tail probabilities of low-priority waiting times and queue lengths in MAP/GI/1 queues","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W1523455926","doi":"https://doi.org/10.1023/a:1019161120564","mag":"1523455926"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019161120564","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019161120564","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","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/A5091601407","display_name":"Vijay Subramanian","orcid":"https://orcid.org/0000-0001-9136-6419"},"institutions":[{"id":"https://openalex.org/I1333370159","display_name":"Motorola (United States)","ror":"https://ror.org/01hafxd32","country_code":"US","type":"company","lineage":["https://openalex.org/I1333370159"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vijay Subramanian","raw_affiliation_strings":["Mathematics of Communication Networks, Motorola, 1501 W. Shure Drive, Arlington Heights, IL, 60004, USA","Mathematics of Communication Networks, Motorola, 1501 W. Shure Drive, Arlington Heights, IL 60004, USA E-mail: VSUBRAM2@email.mot.com#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics of Communication Networks, Motorola, 1501 W. Shure Drive, Arlington Heights, IL, 60004, USA","institution_ids":["https://openalex.org/I1333370159"]},{"raw_affiliation_string":"Mathematics of Communication Networks, Motorola, 1501 W. Shure Drive, Arlington Heights, IL 60004, USA E-mail: VSUBRAM2@email.mot.com#TAB#","institution_ids":["https://openalex.org/I1333370159"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078518595","display_name":"R. Srikant","orcid":"https://orcid.org/0000-0003-1483-5204"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Srikant","raw_affiliation_strings":["Coordinated Science Laboratory and Department of General Engineering, University of Illinois, 1308 W. Main Street, Urbana, IL, 61801, USA","Coordinated Science Laboratory and Department of General  Engineering, University of Illinois, 1308 W. Main Street, Urbana, IL 61801, USA  E-mail: rsrikant@uiuc.edu"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of General Engineering, University of Illinois, 1308 W. Main Street, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Coordinated Science Laboratory and Department of General  Engineering, University of Illinois, 1308 W. Main Street, Urbana, IL 61801, USA  E-mail: rsrikant@uiuc.edu","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091601407"],"corresponding_institution_ids":["https://openalex.org/I1333370159"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.099,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.77993005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"1-4","first_page":"215","last_page":"236"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9965999722480774,"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/markovian-arrival-process","display_name":"Markovian arrival process","score":0.5924748182296753},{"id":"https://openalex.org/keywords/statistical-time-division-multiplexing","display_name":"Statistical time division multiplexing","score":0.5665637850761414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4977145493030548},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4871504008769989},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4681836664676666},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.45323869585990906},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.4514816701412201},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42994773387908936},{"id":"https://openalex.org/keywords/phase-type-distribution","display_name":"Phase-type distribution","score":0.4276975989341736},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.42174533009529114},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.4180659353733063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38994893431663513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34811994433403015},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22118064761161804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15398868918418884},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1238793134689331},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11136925220489502}],"concepts":[{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.5924748182296753},{"id":"https://openalex.org/C173512123","wikidata":"https://www.wikidata.org/wiki/Q5978010","display_name":"Statistical time division multiplexing","level":3,"score":0.5665637850761414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4977145493030548},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4871504008769989},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4681836664676666},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45323869585990906},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.4514816701412201},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42994773387908936},{"id":"https://openalex.org/C120375044","wikidata":"https://www.wikidata.org/wiki/Q7180911","display_name":"Phase-type distribution","level":3,"score":0.4276975989341736},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.42174533009529114},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.4180659353733063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38994893431663513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34811994433403015},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22118064761161804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15398868918418884},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1238793134689331},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11136925220489502}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019161120564","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019161120564","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W105261775","https://openalex.org/W285823907","https://openalex.org/W1503906219","https://openalex.org/W1512308554","https://openalex.org/W1515687042","https://openalex.org/W1587200490","https://openalex.org/W1974636796","https://openalex.org/W1980746611","https://openalex.org/W1986154514","https://openalex.org/W1986165279","https://openalex.org/W2002152358","https://openalex.org/W2020058659","https://openalex.org/W2034607009","https://openalex.org/W2041988095","https://openalex.org/W2061284453","https://openalex.org/W2077812653","https://openalex.org/W2082062155","https://openalex.org/W2085449255","https://openalex.org/W2087858620","https://openalex.org/W2090711268","https://openalex.org/W2103483819","https://openalex.org/W2103891410","https://openalex.org/W2120227573","https://openalex.org/W2126841403","https://openalex.org/W2132432056","https://openalex.org/W2138685211","https://openalex.org/W2149425113","https://openalex.org/W2149944198","https://openalex.org/W2153919611","https://openalex.org/W2155342678","https://openalex.org/W2165151424","https://openalex.org/W2168965212","https://openalex.org/W2171568323","https://openalex.org/W2176566884","https://openalex.org/W2184338882","https://openalex.org/W2228182842","https://openalex.org/W2295575944","https://openalex.org/W2751862591","https://openalex.org/W3038470872"],"related_works":["https://openalex.org/W3030636240","https://openalex.org/W431360389","https://openalex.org/W2063698109","https://openalex.org/W1580283584","https://openalex.org/W1538654733","https://openalex.org/W2166601301","https://openalex.org/W86064143","https://openalex.org/W2130538742","https://openalex.org/W2596141824","https://openalex.org/W4237967540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}