{"id":"https://openalex.org/W2101641179","doi":"https://doi.org/10.1057/palgrave.jors.2600764","title":"A semidefinite programming approach to the optimal control of a single server queueing system with imposed second moment constraints","display_name":"A semidefinite programming approach to the optimal control of a single server queueing system with imposed second moment constraints","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W2101641179","doi":"https://doi.org/10.1057/palgrave.jors.2600764","mag":"2101641179"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2600764","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2600764","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","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/A5106792298","display_name":"P. S. Ansell","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"P S Ansell","raw_affiliation_strings":["University of Newcastle upon Tyne UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Newcastle upon Tyne UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081296019","display_name":"K. D. Glazebrook","orcid":"https://orcid.org/0000-0002-5045-0718"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"K D Glazebrook","raw_affiliation_strings":["University of Newcastle upon Tyne UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Newcastle upon Tyne UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073475298","display_name":"Isi Mitrani","orcid":"https://orcid.org/0000-0002-7797-7755"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"I Mitrani","raw_affiliation_strings":["University of Newcastle upon Tyne UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Newcastle upon Tyne UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014661660","display_name":"Jos\u00e9 Ni\u00f1o\u2010Mora","orcid":"https://orcid.org/0000-0002-2172-3983"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Universitat Pompeu Fabra","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J Ni\u00f1o-Mora","raw_affiliation_strings":["Universitat Pompeu Fabra Spain","Universitat Pompeu Fabra, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Pompeu Fabra Spain","institution_ids":["https://openalex.org/I170486558"]},{"raw_affiliation_string":"Universitat Pompeu Fabra, Spain#TAB#","institution_ids":["https://openalex.org/I170486558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.25322284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"50","issue":"7","first_page":"765","last_page":"773"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9979000091552734,"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/queueing-theory","display_name":"Queueing theory","score":0.7250834703445435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6996272802352905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.686009407043457},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.650189220905304},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6078952550888062},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5303778052330017},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5235863924026489},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.47178930044174194},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.34078270196914673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21634522080421448},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.13450053334236145}],"concepts":[{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.7250834703445435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6996272802352905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.686009407043457},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.650189220905304},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6078952550888062},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5303778052330017},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5235863924026489},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.47178930044174194},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.34078270196914673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21634522080421448},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.13450053334236145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1057/palgrave.jors.2600764","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2600764","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:pal:jorsoc:v:50:y:1999:i:7:d:10.1057_palgrave.jors.2600764","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2600764","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W166250193","https://openalex.org/W1495107674","https://openalex.org/W1973022038","https://openalex.org/W2009617375","https://openalex.org/W2022413371","https://openalex.org/W2025702744","https://openalex.org/W2027385835","https://openalex.org/W2030582898","https://openalex.org/W2035433389","https://openalex.org/W2037466333","https://openalex.org/W2059442555","https://openalex.org/W2146713013","https://openalex.org/W2267527048","https://openalex.org/W2798490245","https://openalex.org/W2912522929"],"related_works":["https://openalex.org/W2365647353","https://openalex.org/W4385401023","https://openalex.org/W2044363610","https://openalex.org/W2363056536","https://openalex.org/W2029548118","https://openalex.org/W2295575944","https://openalex.org/W2060911134","https://openalex.org/W2347400435","https://openalex.org/W1982794840","https://openalex.org/W2112861622"],"abstract_inverted_index":{"Classical":[0],"analyses":[1],"of":[2,6,41,55,61,68,71,102,104],"the":[3,28,39,53,58,66,87,91,100],"dynamic":[4],"control":[5],"multi-class":[7],"queueing":[8],"systems":[9],"frequently":[10],"yield":[11],"simple":[12],"priority":[13,30],"policies":[14,19,74,81,106],"as":[15],"optimal.":[16],"However,":[17],"such":[18],"can":[20],"often":[21],"result":[22],"in":[23,38],"excessive":[24],"queue":[25,62],"lengths":[26],"for":[27,75,110],"low":[29],"jobs/customers.":[31],"We":[32,64],"propose":[33],"a":[34,42],"stochastic":[35],"optimisation":[36],"problem":[37],"context":[40],"two":[43,69],"class":[44],"M/M/1":[45],"system":[46],"which":[47],"seeks":[48],"to":[49,99,108],"mitigate":[50],"this":[51,76],"through":[52,90],"imposition":[54],"constraints":[56],"on":[57,86],"second":[59],"moments":[60],"lengths.":[63],"analyse":[65],"performance":[67,103],"families":[70],"parametrised":[72],"heuristic":[73],"problem.":[77],"To":[78],"evaluate":[79],"these":[80],"we":[82],"develop":[83],"lower":[84],"bounds":[85],"optimum":[88],"cost":[89],"achievable":[92],"region":[93],"approach.":[94],"A":[95],"numerical":[96],"study":[97],"points":[98],"strength":[101],"threshold":[105],"and":[107],"directions":[109],"future":[111],"research.":[112]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}