{"id":"https://openalex.org/W2122345480","doi":"https://doi.org/10.1109/coase.2013.6654007","title":"On the equilibrium probabilities of deterministic flow lines with random arrivals","display_name":"On the equilibrium probabilities of deterministic flow lines with random arrivals","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2122345480","doi":"https://doi.org/10.1109/coase.2013.6654007","mag":"2122345480"},"language":"en","primary_location":{"id":"doi:10.1109/coase.2013.6654007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2013.6654007","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5041308812","display_name":"Woosung Kim","orcid":"https://orcid.org/0000-0001-9444-2712"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Woo-sung Kim","raw_affiliation_strings":["Department of Industrial and Systems Engineering, KAIST, Daejeon, Republic of Korea","Dept. of Ind. & Syst. Eng, KAIST, Daejeon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, KAIST, Daejeon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Dept. of Ind. & Syst. Eng, KAIST, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101619159","display_name":"James R. Morrison","orcid":"https://orcid.org/0000-0001-7773-000X"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"James R. Morrison","raw_affiliation_strings":["Department of Industrial and Systems Engineering, KAIST, Daejeon, Republic of Korea","Dept. of Ind. & Syst. Eng, KAIST, Daejeon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, KAIST, Daejeon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Dept. of Ind. & Syst. Eng, KAIST, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"723","last_page":"729"},"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10328","display_name":"Supply Chain and Inventory Management","score":0.965499997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6341597437858582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6215009689331055},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6024988293647766},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5840214490890503},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5776840448379517},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5558081865310669},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4886832535266876},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4770980477333069},{"id":"https://openalex.org/keywords/uniformization","display_name":"Uniformization (probability theory)","score":0.46942025423049927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4481993615627289},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3889511823654175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3802189826965332},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.3724169433116913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2845245599746704},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.2045098841190338},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1204899251461029},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.0920795202255249}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6341597437858582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6215009689331055},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6024988293647766},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5840214490890503},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5776840448379517},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5558081865310669},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4886832535266876},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4770980477333069},{"id":"https://openalex.org/C149260544","wikidata":"https://www.wikidata.org/wiki/Q7885142","display_name":"Uniformization (probability theory)","level":5,"score":0.46942025423049927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4481993615627289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3889511823654175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3802189826965332},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.3724169433116913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2845245599746704},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2045098841190338},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1204899251461029},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0920795202255249},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/coase.2013.6654007","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2013.6654007","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W183419593","https://openalex.org/W1526593525","https://openalex.org/W1568496064","https://openalex.org/W1977261104","https://openalex.org/W1994484604","https://openalex.org/W1995940466","https://openalex.org/W2005383088","https://openalex.org/W2007001378","https://openalex.org/W2007949375","https://openalex.org/W2021151294","https://openalex.org/W2040314389","https://openalex.org/W2041709301","https://openalex.org/W2042546385","https://openalex.org/W2043030528","https://openalex.org/W2044634403","https://openalex.org/W2055761549","https://openalex.org/W2059798320","https://openalex.org/W2061867449","https://openalex.org/W2076406842","https://openalex.org/W2087184137","https://openalex.org/W2100097015","https://openalex.org/W2104726122","https://openalex.org/W2105559552","https://openalex.org/W2124838401","https://openalex.org/W2126947728","https://openalex.org/W2134832130","https://openalex.org/W2141568759","https://openalex.org/W2146166911","https://openalex.org/W2158134789","https://openalex.org/W2799137445","https://openalex.org/W6634077397","https://openalex.org/W6651590771"],"related_works":["https://openalex.org/W1994169959","https://openalex.org/W2020531058","https://openalex.org/W1551379884","https://openalex.org/W2222733235","https://openalex.org/W1534371740","https://openalex.org/W4287184085","https://openalex.org/W3042180692","https://openalex.org/W3162428176","https://openalex.org/W2019618652","https://openalex.org/W296145649"],"abstract_inverted_index":{"Flow":[0],"lines":[1,20,47,86,148,168],"serve":[2],"as":[3],"fundamental":[4],"models":[5],"for":[6,16,18,105,129,144],"many":[7],"manufacturing":[8],"systems.":[9],"However,":[10],"while":[11],"they":[12],"have":[13],"been":[14],"studied":[15],"decades,":[17],"flow":[19,46,85,147,167],"with":[21,48,149],"randomness,":[22],"exact":[23,62,160],"performance":[24],"measures":[25],"are":[26,31,157],"only":[27],"available":[28],"when":[29],"there":[30],"three":[32,173],"servers":[33],"or":[34],"less.":[35],"In":[36],"this":[37,95,110],"paper,":[38],"we":[39,68,92,136],"study":[40],"the":[41,66,71,77,106,130,141,158],"steady":[42],"state":[43],"behavior":[44],"of":[45,65,121,170],"deterministic":[49],"service":[50],"and":[51],"a":[52,57,88,99,118],"renewal":[53,89],"arrival":[54,90],"process.":[55],"Using":[56],"recursion":[58],"based":[59],"on":[60],"an":[61,134],"channel":[63,146],"decomposition":[64],"system,":[67],"demonstrate":[69,137],"that":[70,124,162],"delays":[72],"in":[73],"each":[74],"server":[75,107],"possess":[76],"Markovian":[78],"property.":[79],"Restricting":[80],"our":[81,154],"scope":[82],"to":[83,97,116,139,166],"discrete-time":[84,101],"under":[87],"process,":[91],"can":[93,125,163],"exploit":[94],"property":[96],"obtain":[98,117],"multidimensional":[100],"time-homogeneous":[102],"Markov":[103,111],"chain":[104],"delays.":[108],"For":[109],"chain,":[112],"it":[113],"is":[114],"possible":[115],"finite":[119],"collection":[120],"balance":[122],"equations":[123],"be":[126,164],"solved":[127],"numerically":[128],"equilibrium":[131,142],"probabilities.":[132],"As":[133],"example,":[135],"how":[138],"derive":[140],"probabilities":[143],"single":[145],"geometric":[150],"interarrival":[151],"times.":[152],"To":[153],"knowledge,":[155],"these":[156],"first":[159],"results":[161],"applied":[165],"consisting":[169],"more":[171],"than":[172],"servers.":[174]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}