{"id":"https://openalex.org/W2110323780","doi":"https://doi.org/10.1007/s10479-011-0846-y","title":"Time-limited polling systems with batch arrivals and\u00a0phase-type service times","display_name":"Time-limited polling systems with batch arrivals and\u00a0phase-type service times","publication_year":2011,"publication_date":"2011-01-26","ids":{"openalex":"https://openalex.org/W2110323780","doi":"https://doi.org/10.1007/s10479-011-0846-y","mag":"2110323780"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-011-0846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-011-0846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-011-0846-y.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","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/s10479-011-0846-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066109757","display_name":"Ahmad Al Hanbali","orcid":"https://orcid.org/0000-0001-7411-0614"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ahmad Al Hanbali","raw_affiliation_strings":["University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","Univ. of Twente#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Univ. of Twente#TAB#","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075348227","display_name":"Roland de Haan","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Roland de Haan","raw_affiliation_strings":["University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","Univ. of Twente#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Univ. of Twente#TAB#","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003550171","display_name":"Richard J. Boucherie","orcid":"https://orcid.org/0000-0002-1046-2044"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Richard J. Boucherie","raw_affiliation_strings":["University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","Univ. of Twente#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Univ. of Twente#TAB#","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003817351","display_name":"Jan\u2010Kees van Ommeren","orcid":"https://orcid.org/0000-0002-0190-5085"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan-Kees van Ommeren","raw_affiliation_strings":["University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","Univ. of Twente#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Univ. of Twente#TAB#","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066109757"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.599,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.85733123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"198","issue":"1","first_page":"57","last_page":"82"},"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9815000295639038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polling-system","display_name":"Polling system","score":0.7549026012420654},{"id":"https://openalex.org/keywords/polling","display_name":"Polling","score":0.7530988454818726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7530891299247742},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5452812314033508},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.47528377175331116},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4541539251804352},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4400603473186493},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3951975703239441},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3913553059101105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38485682010650635},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.35128670930862427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20829179883003235},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18021425604820251}],"concepts":[{"id":"https://openalex.org/C87190583","wikidata":"https://www.wikidata.org/wiki/Q17097337","display_name":"Polling system","level":3,"score":0.7549026012420654},{"id":"https://openalex.org/C204854418","wikidata":"https://www.wikidata.org/wiki/Q1362921","display_name":"Polling","level":2,"score":0.7530988454818726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7530891299247742},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5452812314033508},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.47528377175331116},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4541539251804352},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4400603473186493},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3951975703239441},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3913553059101105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38485682010650635},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.35128670930862427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20829179883003235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18021425604820251},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10479-011-0846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-011-0846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-011-0846-y.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:publications/28faa1c5-251a-47c9-8706-5b2690a7b63b","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/28faa1c5-251a-47c9-8706-5b2690a7b63b","pdf_url":"https://research.utwente.nl/files/14478136/AlHanbali11time.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Al Hanbali, A, de Haan, R, Boucherie, R J & van Ommeren, J C W 2012, 'Time-limited polling systems with batch arrivals and phase-type service times', Annals of operations research, vol. 198, no. 1, pp. 57-82. https://doi.org/10.1007/s10479-011-0846-y","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.652.7067","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.652.7067","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://alexandria.tue.nl/repository/books/652908.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:annopr:v:198:y:2012:i:1:p:57-82:10.1007/s10479-011-0846-y","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-011-0846-y","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"},{"id":"pmh:oai:pure.tue.nl:publications/0c22df76-ee26-4aa7-9df9-7246167c5ca7","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/0c22df76-ee26-4aa7-9df9-7246167c5ca7","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:ris.utwente.nl:publications/28faa1c5-251a-47c9-8706-5b2690a7b63b","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1007/s10479-011-0846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-011-0846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-011-0846-y.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2110323780.pdf","grobid_xml":"https://content.openalex.org/works/W2110323780.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W34141764","https://openalex.org/W374309474","https://openalex.org/W412831655","https://openalex.org/W1547827442","https://openalex.org/W1969139579","https://openalex.org/W1983876429","https://openalex.org/W1988654163","https://openalex.org/W2007225893","https://openalex.org/W2013419272","https://openalex.org/W2046439604","https://openalex.org/W2054628184","https://openalex.org/W2056553365","https://openalex.org/W2066549806","https://openalex.org/W2072400757","https://openalex.org/W2076038467","https://openalex.org/W2082442678","https://openalex.org/W2099320354","https://openalex.org/W2103506531","https://openalex.org/W2117376138","https://openalex.org/W2119660912","https://openalex.org/W2119693072","https://openalex.org/W2121522469","https://openalex.org/W2136232193","https://openalex.org/W2140659572","https://openalex.org/W2151797261","https://openalex.org/W2154602821","https://openalex.org/W2155359864","https://openalex.org/W2158969014","https://openalex.org/W2159724648","https://openalex.org/W2494547223","https://openalex.org/W2751555667","https://openalex.org/W2796516155","https://openalex.org/W3027878608","https://openalex.org/W4205747222","https://openalex.org/W4212922449","https://openalex.org/W4237489774","https://openalex.org/W4285719527","https://openalex.org/W4300027076","https://openalex.org/W6652016916","https://openalex.org/W6822031644","https://openalex.org/W7020061393","https://openalex.org/W7033960593"],"related_works":["https://openalex.org/W2013501766","https://openalex.org/W1829880288","https://openalex.org/W2032536062","https://openalex.org/W3120926882","https://openalex.org/W1981084347","https://openalex.org/W2804935743","https://openalex.org/W2542051847","https://openalex.org/W105848694","https://openalex.org/W2949240865","https://openalex.org/W2804886725"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"develop":[4],"a":[5,30,33,48,51,124,128],"general":[6],"framework":[7],"to":[8,22,39,102,127],"analyze":[9],"polling":[10,88],"systems":[11],"with":[12],"either":[13],"the":[14,17,23,26,40,44,58,83,97,114,118,121,136],"autonomous-server":[15,24],"or":[16,56],"time-limited":[18,41],"service":[19,42,72],"discipline.":[20],"According":[21,38],"discipline,":[25,43],"server":[27,45,125],"continues":[28,46],"servicing":[29,47],"queue":[31,49,59],"for":[32,50],"certain":[34,52],"period":[35,53],"of":[36,54,123,138],"time.":[37],"time":[55],"until":[57],"becomes":[60],"empty,":[61],"whichever":[62],"occurs":[63],"first.":[64],"We":[65],"consider":[66],"Poisson":[67],"batch":[68],"arrivals":[69],"and":[70,120],"phase-type":[71],"times.":[73],"It":[74],"is":[75,101,108],"known":[76],"that":[77,107],"these":[78],"disciplines":[79],"do":[80],"not":[81],"satisfy":[82],"well-known":[84],"branching":[85],"property":[86],"in":[87,96,112],"systems.":[89],"Therefore,":[90],"hardly":[91],"any":[92],"exact":[93],"results":[94],"exist":[95],"literature.":[98],"Our":[99],"strategy":[100],"apply":[103],"an":[104],"iterative":[105],"scheme":[106],"based":[109],"on":[110],"relating":[111],"closed-form":[113],"joint":[115],"queue-lengths":[116],"at":[117],"beginning":[119],"end":[122],"visit":[126],"queue.":[129],"These":[130],"kernel":[131],"relations":[132],"are":[133],"derived":[134],"using":[135],"theory":[137],"absorbing":[139],"Markov":[140],"chains.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
