{"id":"https://openalex.org/W2276190532","doi":"https://doi.org/10.1007/s10479-015-2058-3","title":"Staffing of time-varying queues using a geometric discrete time modelling approach","display_name":"Staffing of time-varying queues using a geometric discrete time modelling approach","publication_year":2015,"publication_date":"2015-11-23","ids":{"openalex":"https://openalex.org/W2276190532","doi":"https://doi.org/10.1007/s10479-015-2058-3","mag":"2276190532"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-015-2058-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-015-2058-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-015-2058-3.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","license_id":"https://openalex.org/licenses/cc-by","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/s10479-015-2058-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100329997","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-9049-9452"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Lancaster University, Lancaster, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lancaster University, Lancaster, UK","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029701178","display_name":"David Worthington","orcid":"https://orcid.org/0000-0003-1400-0194"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Dave Worthington","raw_affiliation_strings":["Lancaster University, Lancaster, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lancaster University, Lancaster, UK","institution_ids":["https://openalex.org/I67415387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029701178"],"corresponding_institution_ids":["https://openalex.org/I67415387"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.5094,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75960621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"252","issue":"1","first_page":"63","last_page":"84"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9634000062942505,"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"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9567999839782715,"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/staffing","display_name":"Staffing","score":0.8710012435913086},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.7386559844017029},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7269462943077087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.694257915019989},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6256896257400513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5537362694740295},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4839251637458801},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3403860330581665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32495588064193726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21236583590507507},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11898773908615112}],"concepts":[{"id":"https://openalex.org/C2777512617","wikidata":"https://www.wikidata.org/wiki/Q1783605","display_name":"Staffing","level":2,"score":0.8710012435913086},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.7386559844017029},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7269462943077087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.694257915019989},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6256896257400513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5537362694740295},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4839251637458801},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3403860330581665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32495588064193726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21236583590507507},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11898773908615112},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"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":3,"locations":[{"id":"doi:10.1007/s10479-015-2058-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-015-2058-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-015-2058-3.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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:252:y:2017:i:1:d:10.1007_s10479-015-2058-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-015-2058-3","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:eprints.lancs.ac.uk:81196","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/81196/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"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":"Journal Article"}],"best_oa_location":{"id":"doi:10.1007/s10479-015-2058-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-015-2058-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-015-2058-3.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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2276190532.pdf","grobid_xml":"https://content.openalex.org/works/W2276190532.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W170797282","https://openalex.org/W1595876179","https://openalex.org/W1970713804","https://openalex.org/W1977015861","https://openalex.org/W2005804192","https://openalex.org/W2024670010","https://openalex.org/W2027602364","https://openalex.org/W2037906997","https://openalex.org/W2054832903","https://openalex.org/W2086957138","https://openalex.org/W2104884130","https://openalex.org/W2119338125","https://openalex.org/W2128248600","https://openalex.org/W2135670241","https://openalex.org/W2141712372","https://openalex.org/W2143626226","https://openalex.org/W2155585094","https://openalex.org/W2168136599","https://openalex.org/W2169852575","https://openalex.org/W4241207332","https://openalex.org/W6635521342"],"related_works":["https://openalex.org/W2100396492","https://openalex.org/W2264090623","https://openalex.org/W2084728249","https://openalex.org/W2918379277","https://openalex.org/W2802613825","https://openalex.org/W2605401415","https://openalex.org/W2559378387","https://openalex.org/W1984809414","https://openalex.org/W2995016501","https://openalex.org/W579272104"],"abstract_inverted_index":{"Many":[0],"queueing":[1,53],"systems":[2],"with":[3,56],"time-dependent":[4,7],"arrivals":[5],"require":[6],"staffing":[8,28,59,66],"to":[9,31,61,68,83],"provide":[10],"satisfactory":[11],"service":[12],"levels":[13,67],"at":[14],"reasonable":[15],"cost.":[16],"Feldman":[17],"et":[18],"al.":[19],"(Manag":[20],"Sci":[21],"54(2):324\u2013338,":[22],"2008":[23],")":[24],"proposed":[25],"an":[26,51,57],"iterative":[27,58],"algorithm":[29,60],"designed":[30],"deliver":[32],"time-stable":[33,70],"performance":[34,71],"in":[35,72],"which":[36],"successive":[37],"iterations":[38],"were":[39],"evaluated":[40],"via":[41],"simulation":[42,88],"experiments.":[43],"In":[44],"this":[45],"paper":[46],"we":[47],"present":[48],"and":[49,91],"evaluate":[50],"analytical":[52,99],"model":[54],"combined":[55],"be":[62,84],"used":[63],"for":[64],"setting":[65],"achieve":[69],"call":[73],"centre":[74],"type":[75],"queues.":[76],"Empirical":[77],"results":[78],"show":[79],"that":[80],"the":[81,96],"method":[82],"considerably":[85,92],"faster":[86],"than":[87,95],"based":[89],"methods":[90],"more":[93],"accurate":[94],"industry":[97],"standard":[98],"methods.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}