{"id":"https://openalex.org/W2062029969","doi":"https://doi.org/10.1145/2021216.2021224","title":"Study of influences of negative arrival for single server retrial queueing system with Coxian phase type service","display_name":"Study of influences of negative arrival for single server retrial queueing system with Coxian phase type service","publication_year":2011,"publication_date":"2011-08-23","ids":{"openalex":"https://openalex.org/W2062029969","doi":"https://doi.org/10.1145/2021216.2021224","mag":"2062029969"},"language":"en","primary_location":{"id":"doi:10.1145/2021216.2021224","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2021216.2021224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Queueing Theory and Network Applications","raw_type":"proceedings-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/A5076656449","display_name":"Ayyappan Govindan","orcid":null},"institutions":[{"id":"https://openalex.org/I175691731","display_name":"Pondicherry University","ror":"https://ror.org/01a3mef16","country_code":"IN","type":"education","lineage":["https://openalex.org/I175691731"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ayyappan Govindan","raw_affiliation_strings":["Pondicherry Engineering College, Pondicherry India","Pondicherry Engineering College , Pondicherry, India"],"affiliations":[{"raw_affiliation_string":"Pondicherry Engineering College, Pondicherry India","institution_ids":["https://openalex.org/I175691731"]},{"raw_affiliation_string":"Pondicherry Engineering College , Pondicherry, India","institution_ids":["https://openalex.org/I175691731"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070874048","display_name":"Muthu Ganapathi Subramanian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muthu Ganapathi Subramanian","raw_affiliation_strings":["Tagore arts College, Pondicherry India"],"affiliations":[{"raw_affiliation_string":"Tagore arts College, Pondicherry India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113934907","display_name":"Gopal Sekar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gopal Sekar","raw_affiliation_strings":["Tagore arts College, Pondicherry India"],"affiliations":[{"raw_affiliation_string":"Tagore arts College, Pondicherry India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076656449"],"corresponding_institution_ids":["https://openalex.org/I175691731"],"apc_list":null,"apc_paid":null,"fwci":0.5243,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73129518,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"59"},"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/T11720","display_name":"Probability and Risk Models","score":0.9707000255584717,"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"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9625999927520752,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6650142669677734},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.5913845300674438},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5366913676261902},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.5273400545120239},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.4955071210861206},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.48978328704833984},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.4873262345790863},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4517946243286133},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4489278197288513},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4364203214645386},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.4023313522338867},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.400539368391037},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2336713671684265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22348478436470032},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13339638710021973},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07800042629241943},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06699120998382568}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6650142669677734},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.5913845300674438},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5366913676261902},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.5273400545120239},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.4955071210861206},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.48978328704833984},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.4873262345790863},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4517946243286133},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4489278197288513},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4364203214645386},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.4023313522338867},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.400539368391037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2336713671684265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22348478436470032},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13339638710021973},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07800042629241943},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06699120998382568},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","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},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2021216.2021224","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2021216.2021224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Queueing Theory and Network Applications","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":22,"referenced_works":["https://openalex.org/W396071130","https://openalex.org/W1718208016","https://openalex.org/W1966549076","https://openalex.org/W1973764571","https://openalex.org/W2012065498","https://openalex.org/W2013429768","https://openalex.org/W2028798402","https://openalex.org/W2046650903","https://openalex.org/W2056223868","https://openalex.org/W2056377128","https://openalex.org/W2090189565","https://openalex.org/W2127879344","https://openalex.org/W2133779761","https://openalex.org/W2154602821","https://openalex.org/W2182274314","https://openalex.org/W2486916347","https://openalex.org/W2742600315","https://openalex.org/W3134957306","https://openalex.org/W4236185170","https://openalex.org/W4237938035","https://openalex.org/W4249296667","https://openalex.org/W4255978858"],"related_works":["https://openalex.org/W4400956004","https://openalex.org/W2294359397","https://openalex.org/W2115248066","https://openalex.org/W3094468744","https://openalex.org/W2000223540","https://openalex.org/W2154452441","https://openalex.org/W1922545131","https://openalex.org/W4311030272","https://openalex.org/W2003447514","https://openalex.org/W4205205970"],"abstract_inverted_index":{"Consider":[0],"a":[1,20,32,83,136,166,208],"single":[2],"server":[3,129,196,252,310],"retrial":[4,278],"queueing":[5],"system":[6,116,257],"with":[7,23,35,56,169],"negative":[8,28,214],"arrival":[9,24,29,215],"under":[10],"Coxian":[11],"phase":[12,61,101,106,148,179],"type":[13],"service":[14,47,50,88,271],"in":[15,19,45,73,86,147,165,220,228,301,333],"which":[16],"customers":[17,300],"arrive":[18],"Poisson":[21,33],"process":[22],"rate":[25,30],"\u03bb.":[26],"The":[27,49,71,154,213],"follows":[31,52],"distribution":[34,55],"parameter":[36,57],"v.":[37],"Let":[38,90],"k":[39,125,330],"be":[40,92,111,145,159],"the":[41,46,87,93,96,115,128,133,140,152,163,170,175,182,192,195,200,226,229,236,245,248,256,265,270,276,302],"number":[42,298],"of":[43,135,156,172,177,210,296,299,309,316,341],"phases":[44,75,157],"station.":[48],"time":[51,84,134],"an":[53,217],"exponential":[54],"\u03bcj":[58],"for":[59,117,294,313],"jth":[60,100],"where":[62],"j":[63,118],"=":[64,119],"1,":[65,120],"2,":[66,121],"3,.":[67,122],".":[68,123,321,326],".,":[69,124,322,327],"k.":[70],"services":[72],"all":[74],"are":[76],"independent":[77],"and":[78,107,190,206,223,238,331,336],"only":[79,250],"one":[80,161,233],"customer":[81,97,183,202,234,246],"at":[82,132,187],"is":[85,130,181,197,253,273,282],"mechanism.":[89],"qj":[91],"probability":[94,112],"that":[95,180,242,264],"moves":[98],"from":[99,235,247,267],"to":[102,113,144,204,269],"(j":[103],"+":[104],"1)th":[105],"(1":[108],"\u2212":[109],"qj)":[110],"leave":[114],"\u22121.":[126],"If":[127,194],"free":[131],"primary":[137],"call":[138,142],"arrival,":[139],"arriving":[141,201],"begins":[143],"served":[146],"1":[149],"immediately":[150],"by":[151,231,275,284],"server.":[153],"sequence":[155],"could":[158],"arranged":[160],"after":[162,174],"other":[164],"series":[167],"formation,":[168],"provision":[171],"termination":[173],"completion":[176],"any":[178,188],"may":[184],"itself":[185],"terminate":[186],"stage":[189],"leaves":[191],"system.":[193],"busy,":[198],"then":[199],"goes":[203],"orbit":[205,230,237,249,268,303],"becomes":[207],"source":[209],"repeated":[211],"calls.":[212],"plays":[216],"important":[218],"role":[219],"this":[221,342],"paper":[222],"it":[224,243],"controls":[225],"congestion":[227],"removing":[232],"further":[239],"we":[240],"assume":[241,263],"removes":[244],"if":[251],"busy.":[254],"Otherwise,":[255],"state":[258],"does":[259],"not":[260],"change.":[261],"We":[262],"access":[266],"facility":[272],"governed":[274],"classical":[277],"policy.":[279],"This":[280],"model":[281,343],"solved":[283],"using":[285],"Direct":[286],"Truncation":[287,305],"Method.":[288],"Numerical":[289],"studies":[290],"have":[291,344],"been":[292,345],"done":[293],"analysis":[295],"mean":[297],"(MNCO),":[304],"level":[306],"(OCUT),":[307],"Probabilities":[308],"free,":[311],"busy":[312],"various":[314,338],"values":[315],"\u03bb,":[317],"q1,":[318],"q2,":[319],"q3,.":[320],"qk-1,":[323],"\u03bc1,":[324],"\u03bc2,.":[325],"\u03bck,":[328],"v,":[329],"\u03c3":[332],"elaborate":[334],"manner":[335],"also":[337],"particular":[339],"cases":[340],"discussed.":[346]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
