{"id":"https://openalex.org/W2065323254","doi":"https://doi.org/10.1137/s0363012999358464","title":"Control of Polling in Presence of Vacations in Heavy Traffic with Applications to Satellite and Mobile Radio Systems","display_name":"Control of Polling in Presence of Vacations in Heavy Traffic with Applications to Satellite and Mobile Radio Systems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2065323254","doi":"https://doi.org/10.1137/s0363012999358464","mag":"2065323254"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012999358464","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999358464","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","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/A5090818425","display_name":"Eitan Altman","orcid":"https://orcid.org/0000-0002-2177-9979"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eitan Altman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112058612","display_name":"Harold J. Kushner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Harold J. Kushner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4786,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.83473389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"1","first_page":"217","last_page":"252"},"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.996999979019165,"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":0.992900013923645,"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/polling","display_name":"Polling","score":0.7209656834602356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6727300882339478},{"id":"https://openalex.org/keywords/polling-system","display_name":"Polling system","score":0.6580873131752014},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6574752926826477},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5083138346672058},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4885881841182709},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.45985206961631775},{"id":"https://openalex.org/keywords/workload","display_name":"Workload","score":0.44294026494026184},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.41966748237609863},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4161298871040344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22058779001235962}],"concepts":[{"id":"https://openalex.org/C204854418","wikidata":"https://www.wikidata.org/wiki/Q1362921","display_name":"Polling","level":2,"score":0.7209656834602356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6727300882339478},{"id":"https://openalex.org/C87190583","wikidata":"https://www.wikidata.org/wiki/Q17097337","display_name":"Polling system","level":3,"score":0.6580873131752014},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6574752926826477},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5083138346672058},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4885881841182709},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.45985206961631775},{"id":"https://openalex.org/C2778476105","wikidata":"https://www.wikidata.org/wiki/Q628539","display_name":"Workload","level":2,"score":0.44294026494026184},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.41966748237609863},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4161298871040344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22058779001235962},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0363012999358464","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999358464","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.5442","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.5442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.dam.brown.edu/pub/lcds/01-2.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.41.9974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.9974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.dam.brown.edu/pub/lcds/99-6.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W7498473","https://openalex.org/W9811568","https://openalex.org/W205939629","https://openalex.org/W1489872560","https://openalex.org/W1490150974","https://openalex.org/W1523832657","https://openalex.org/W1579485993","https://openalex.org/W1668826802","https://openalex.org/W1963921091","https://openalex.org/W1964377184","https://openalex.org/W1965399019","https://openalex.org/W1979870779","https://openalex.org/W1981514282","https://openalex.org/W2000288008","https://openalex.org/W2002287101","https://openalex.org/W2004964364","https://openalex.org/W2021766273","https://openalex.org/W2041459929","https://openalex.org/W2069585119","https://openalex.org/W2081236693","https://openalex.org/W2081597576","https://openalex.org/W2086474305","https://openalex.org/W2092911205","https://openalex.org/W2126794261","https://openalex.org/W2135663206","https://openalex.org/W2139798591","https://openalex.org/W2168823895","https://openalex.org/W2531891978","https://openalex.org/W2584405968","https://openalex.org/W2592164502","https://openalex.org/W2802739963","https://openalex.org/W3123517799","https://openalex.org/W4235816940","https://openalex.org/W4244041822","https://openalex.org/W4292366002","https://openalex.org/W4302033506"],"related_works":["https://openalex.org/W2013501766","https://openalex.org/W1829880288","https://openalex.org/W1981084347","https://openalex.org/W2804935743","https://openalex.org/W3120926882","https://openalex.org/W2542051847","https://openalex.org/W2156472335","https://openalex.org/W105848694","https://openalex.org/W2949240865","https://openalex.org/W2804886725"],"abstract_inverted_index":{"Consider":[0],"a":[1,51,171,199,273,284,346],"queueing":[2],"system":[3],"with":[4,8,14,176,372],"many":[5],"queues,":[6],"each":[7],"its":[9,22,195,313],"own":[10],"input":[11],"stream,":[12],"but":[13,324],"only":[15,193,205],"one":[16,259],"server.":[17,92],"The":[18,35,123,178,188,225,338],"server":[19,66,111,151],"must":[20],"allocate":[21,68],"time":[23,38,113,115,155],"among":[24,39],"the":[25,40,48,59,65,73,76,86,91,103,110,129,135,138,145,150,157,164,183,186,191,207,211,214,237,248,255,269,279,294,298,305,309,328,341,356,361,367],"queues":[26,41,60,77,342],"to":[27,83,109,114,117,134,170,182,302,363,376],"minimize":[28,31],"or":[29,120],"nearly":[30],"some":[32,322],"cost":[33,288],"criterion.":[34],"allocation":[36],"of":[37,50,85,102,125,137,185,218,340],"is":[42,47,56,161,204,245,258,262,291,330,343],"often":[43],"called":[44],"polling":[45,130],"and":[46,64,90,229,251,327,374],"subject":[49],"large":[52],"literature.":[53],"Usually,":[54],"it":[55,143,203,290],"assumed":[57],"that":[58,163,210,268,293,303],"are":[61,78,95,180,319,335],"always":[62,80],"available,":[63],"can":[67,232,275],"at":[69],"will.":[70],"We":[71],"consider":[72],"case":[74],"where":[75,100,149,366],"not":[79,221],"available":[81],"due":[82,116,181],"disruption":[84],"connection":[87],"between":[88],"them":[89],"Such":[93],"occurrences":[94],"common":[96],"in":[97,144,321],"wireless":[98],"communications,":[99],"any":[101],"mobile":[104],"sources":[105],"might":[106,369],"become":[107],"unavailable":[108],"from":[112,236],"obstacles,":[118],"atmospheric":[119],"other":[121],"effects.":[122],"possibility":[124],"such":[126],"``vacations'":[127],"complicates":[128],"problem":[131,140,307],"enormously.":[132],"Due":[133],"complexity":[136],"basic":[139],"we":[141,359],"analyze":[142],"heavy":[146,314],"traffic":[147,310,315],"regime":[148],"has":[152,220],"little":[153],"idle":[154],"over":[156],"average":[158],"requirements.":[159],"It":[160,261],"shown":[162,292],"suitable":[165,285],"scaled":[166,239,280],"total":[167],"workloads":[168,228],"converge":[169,301],"controlled":[172],"limit":[173,238,256,306],"diffusion":[174],"process":[175,257,271],"jumps.":[177],"jumps":[179],"effects":[184],"vacations.":[187,337],"control":[189,212],"enters":[190],"dynamics":[192],"via":[194,206,345],"value":[196,209],"just":[197],"before":[198],"vacation":[200,274],"begins;":[201],"hence":[202],"jump":[208],"affects":[213],"dynamics.":[215],"This":[216,241],"type":[217],"model":[219],"received":[222,371],"much":[223],"attention.":[224],"individual":[226],"queued":[227],"job":[230],"numbers":[231],"be":[233,276,370,377],"recovered":[234],"(asymptotically)":[235],"workload.":[240],"state":[242],"space":[243],"collapse":[244],"critical":[246],"for":[247,297,304],"effective":[249],"numerical":[250],"analytical":[252],"work,":[253],"since":[254],"dimensional.":[260],"also":[263],"shown,":[264],"under":[265,351],"appropriate":[266],"conditions,":[267],"arrival":[270],"during":[272],"approximated":[277],"by":[278],"\"fluid\"":[281],"process.":[282],"With":[283],"nonlinear":[286],"discounted":[287],"rate,":[289],"optimal":[295,332],"costs":[296],"physical":[299],"problems":[300],"as":[308],"intensity":[311],"approaches":[312],"limit.":[316],"Explicit":[317],"solutions":[318],"obtained":[320],"simple":[323],"important":[325],"cases,":[326],"$c\\mu$-rule":[329],"asymptotically":[331],"if":[333],"there":[334],"no":[336],"stability":[339],"analyzed":[344],"perturbed":[347],"Liapunov":[348],"function":[349],"method,":[350],"quite":[352],"general":[353],"conditions":[354],"on":[355],"data.":[357],"Finally,":[358],"extend":[360],"results":[362],"unreliable":[364],"channels":[365],"data":[368],"errors":[373],"need":[375],"retransmitted.":[378]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}