{"id":"https://openalex.org/W2078049293","doi":"https://doi.org/10.1137/0216029","title":"On the Optimal Control of Two Queues with Server Setup Times and Its Analysis","display_name":"On the Optimal Control of Two Queues with Server Setup Times and Its Analysis","publication_year":1987,"publication_date":"1987-04-01","ids":{"openalex":"https://openalex.org/W2078049293","doi":"https://doi.org/10.1137/0216029","mag":"2078049293"},"language":"en","primary_location":{"id":"doi:10.1137/0216029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0216029","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5045598051","display_name":"Micha Hofri","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Micha Hofri","raw_affiliation_strings":["Technion Haifa, Haifa, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Technion Haifa, Haifa, Israel#TAB#","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101801953","display_name":"Keith W. Ross","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keith W. Ross","raw_affiliation_strings":["University of Pennsylvania , Philadelphia"],"affiliations":[{"raw_affiliation_string":"University of Pennsylvania , Philadelphia","institution_ids":["https://openalex.org/I922845939","https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045598051"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.6401,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.72646261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"2","first_page":"399","last_page":"420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":1.0,"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":1.0,"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":0.9957000017166138,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9886000156402588,"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/queue","display_name":"Queue","score":0.7580865621566772},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.597583532333374},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.5299575924873352},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4987914562225342},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.4899727404117584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38596010208129883},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.384655237197876},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.34655383229255676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31781715154647827},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3058473467826843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13198450207710266}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.7580865621566772},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.597583532333374},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.5299575924873352},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4987914562225342},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4899727404117584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38596010208129883},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.384655237197876},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.34655383229255676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31781715154647827},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3058473467826843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13198450207710266}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0216029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0216029","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W11610956","https://openalex.org/W1980568779","https://openalex.org/W1991513691","https://openalex.org/W1994006836","https://openalex.org/W2024013060","https://openalex.org/W2045968790","https://openalex.org/W2059442555","https://openalex.org/W2069896070","https://openalex.org/W2104352034","https://openalex.org/W2105711971","https://openalex.org/W2119693072","https://openalex.org/W2331002104","https://openalex.org/W2333199285"],"related_works":["https://openalex.org/W2509267828","https://openalex.org/W585571222","https://openalex.org/W761466086","https://openalex.org/W2061080557","https://openalex.org/W3029168790","https://openalex.org/W2374481311","https://openalex.org/W2362829887","https://openalex.org/W2379185310","https://openalex.org/W2007781440","https://openalex.org/W2384271358"],"abstract_inverted_index":{"Two":[0],"queues":[1],"are":[2,23,148],"fed":[3],"by":[4],"independent,":[5],"time-homogeneous":[6],"Poisson":[7],"arrival":[8],"processes.":[9],"One":[10],"server":[11,37,95],"is":[12,33,87,110],"available":[13],"to":[14,43,51,112],"handle":[15],"both.":[16],"All":[17],"service":[18,77],"durations,":[19],"in":[20,49,64],"both":[21,121],"queues,":[22,75],"drawn":[24],"independently":[25],"from":[26,40],"the":[27,36,44,53,69,73,76,94,103,118,123,128,145],"same":[28,70],"distribution.":[29],"A":[30,84],"setup":[31,57],"time":[32],"incurred":[34],"whenever":[35],"moves":[38],"(switches)":[39],"one":[41],"queue":[42,65,80],"other.":[45],"We":[46],"prove":[47],"that":[48],"order":[50],"minimize":[52],"sum":[54],"of":[55,135,153],"discounted":[56,124],"charges":[58],"and":[59,67,126,144],"holdings":[60],"costs,":[61],"assumed":[62],"linear":[63],"length":[66],"having":[68],"rate":[71],"at":[72,78],"two":[74],"each":[79],"should":[81],"be":[82,113],"exhaustive,":[83],"\u201cthreshold":[85],"policy\u201d":[86],"defined":[88],"as":[89],"a":[90,106,114,151],"policy":[91,137],"under":[92],"which":[93],"switches":[96],"(from":[97],"an":[98],"empty":[99],"queue)":[100],"only":[101],"when":[102],"other":[104],"reaches":[105],"critical":[107],"size.":[108],"It":[109],"shown":[111],"likely":[115],"candidate":[116],"for":[117,122,127,150],"optimal":[119,146],"policy,":[120],"version":[125],"long-time":[129],"average":[130],"criterion.":[131],"The":[132],"steady-state":[133],"performance":[134],"this":[136],"(under":[138],"somewhat":[139],"more":[140],"general":[141],"distributional":[142],"assumptions)":[143],"thresholds":[147],"determined":[149],"number":[152],"cases.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}