{"id":"https://openalex.org/W2185814769","doi":"https://doi.org/10.4197/eng.20-2.3","title":"Unreliable Server M/G/1 Queueing System with Bernoulli Feedback, Repeated Attempts, Modified Vacation, Phase Repair and Discouragement","display_name":"Unreliable Server M/G/1 Queueing System with Bernoulli Feedback, Repeated Attempts, Modified Vacation, Phase Repair and Discouragement","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2185814769","doi":"https://doi.org/10.4197/eng.20-2.3","mag":"2185814769"},"language":"en","primary_location":{"id":"doi:10.4197/eng.20-2.3","doi":"https://doi.org/10.4197/eng.20-2.3","is_oa":false,"landing_page_url":"https://doi.org/10.4197/eng.20-2.3","pdf_url":null,"source":{"id":"https://openalex.org/S65279705","display_name":"Journal of King Abdulaziz University-Engineering Sciences","issn_l":"1319-1047","issn":["1319-1047","1658-4260"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185163786","host_organization_name":"King Abdulaziz University","host_organization_lineage":["https://openalex.org/I185163786"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of King Abdulaziz University-Engineering Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5003896096","display_name":"Madhu Jain","orcid":"https://orcid.org/0000-0002-8183-5338","observed_orcids":["https://orcid.org/0000-0002-8183-5338"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Madhu Jain","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Charu Bhargava","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Charu Bhargava","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":0.4461,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73831746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"20","issue":"2","first_page":"45","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9994999766349792,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T13553","display_name":"Age of Information Optimization","score":0.0,"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/unreliable-server","display_name":"unreliable server","score":0.8479999899864197},{"id":"https://openalex.org/keywords/m-g-1-queue","display_name":"M/G/1 queue","score":0.9940000176429749},{"id":"https://openalex.org/keywords/bernoulli-feedback","display_name":"Bernoulli feedback","score":0.9369999766349792},{"id":"https://openalex.org/keywords/setup-times","display_name":"setup times","score":0.6589999794960022},{"id":"https://openalex.org/keywords/discouragement","display_name":"discouragement","score":0.8080000281333923},{"id":"https://openalex.org/keywords/retrial-queueing-systems","display_name":"retrial queue","score":0.7570000290870667},{"id":"https://openalex.org/keywords/orbit","display_name":"orbit","score":0.45500001311302185},{"id":"https://openalex.org/keywords/queue-length-distribution","display_name":"queue length distribution","score":0.5559999942779541},{"id":"https://openalex.org/keywords/reliability-index","display_name":"reliability index","score":0.5249999761581421},{"id":"https://openalex.org/keywords/server-breakdowns","display_name":"server breakdowns","score":0.38100001215934753}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6213196516036987},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.5375604033470154},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5138259530067444},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5011489391326904},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.49066221714019775},{"id":"https://openalex.org/C187825244","wikidata":"https://www.wikidata.org/wiki/Q372071","display_name":"Probability-generating function","level":4,"score":0.47144970297813416},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.46320000290870667},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.44532716274261475},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4022146463394165},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.35539597272872925},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.35395511984825134},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3266730308532715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24308207631111145},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15588825941085815},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14050036668777466},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.0773143470287323},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4197/eng.20-2.3","doi":"https://doi.org/10.4197/eng.20-2.3","is_oa":false,"landing_page_url":"https://doi.org/10.4197/eng.20-2.3","pdf_url":null,"source":{"id":"https://openalex.org/S65279705","display_name":"Journal of King Abdulaziz University-Engineering Sciences","issn_l":"1319-1047","issn":["1319-1047","1658-4260"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185163786","host_organization_name":"King Abdulaziz University","host_organization_lineage":["https://openalex.org/I185163786"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of King Abdulaziz University-Engineering Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W197662372","https://openalex.org/W1968757468","https://openalex.org/W1976806137","https://openalex.org/W1990057380","https://openalex.org/W1995901691","https://openalex.org/W2002813883","https://openalex.org/W2026845449","https://openalex.org/W2029083423","https://openalex.org/W2048118548","https://openalex.org/W2066967197","https://openalex.org/W2079358797","https://openalex.org/W2083180927","https://openalex.org/W2090056178","https://openalex.org/W2093817726","https://openalex.org/W2101139728","https://openalex.org/W2130091258","https://openalex.org/W2140866075","https://openalex.org/W2921590837","https://openalex.org/W2992263863","https://openalex.org/W4235370399"],"related_works":["https://openalex.org/W4389691741","https://openalex.org/W4289527348","https://openalex.org/W2006235159","https://openalex.org/W2578283222","https://openalex.org/W2337228087","https://openalex.org/W2318517770","https://openalex.org/W4312523595","https://openalex.org/W7034660281","https://openalex.org/W2907509582","https://openalex.org/W4396830363"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,8,94,104],"unreliable":[4],"M/G/1":[5],"queueing":[6,245],"system":[7,103,257,265,269],"modified":[9],"vacation,":[10,33],"repeated":[11],"attempts":[12],"and":[13,173,181],"K-phase":[14],"repair.":[15],"The":[16,46,60,70,145,168,208,261],"jobs":[17,35,47,71],"arrive":[18],"in":[19,48,205],"Poisson":[20],"fashion.":[21],"On":[22,184],"finding":[23,185],"the":[24,34,39,44,49,80,83,88,91,102,112,126,129,149,156,186,189,206,253,256,268],"server":[25,113,127,190],"busy,":[26],"under":[27,29],"setup,":[28],"repair":[30,136,174],"or":[31,41,98],"on":[32,192,267],"either":[36],"join":[37,87],"to":[38,75,124,128,154,251],"orbit":[40,50,187],"balk":[42],"from":[43,101],"system.":[45],"repeat":[51],"their":[52],"request":[53],"for":[54],"service":[55,169],"after":[56],"some":[57,95,152],"random":[58,218],"time.":[59,167],"inter":[61],"retrial":[62],"time":[63,153,162,172,175],"of":[64,90,111,121,159,176,212,235,241,255,263],"each":[65,177],"job":[66,84,202],"is":[67,114,118,137,163,203,220],"general":[68,182],"distributed.":[69,183],"are":[72,143,179,230,258,272],"served":[73],"according":[74],"FCFS":[76],"discipline.":[77],"After":[78],"receiving":[79],"unsuccessful":[81],"service,":[82],"may":[85,99],"immediately":[86],"tail":[89],"original":[92],"queue":[93,215],"probability":[96,105,209],"p":[97],"depart":[100],"q(=":[106],"1-p).":[107],"Accidental":[108],"(operational)":[109],"breakdown":[110],"also":[115,259,273],"considered.":[116],"There":[117],"a":[119],"provision":[120],"kphase":[122],"repairs":[123],"restore":[125],"state":[130,214],"as":[131,165,232,246,248],"before":[132],"failure.":[133],"First":[134],"phase":[135,158,178],"essential":[138],"whereas":[139],"other":[140],"(K-1)":[141],"phases":[142],"optional.":[144],"repairman,":[146],"who":[147],"restores":[148],"server,":[150],"requires":[151],"start":[155],"first":[157],"repair;":[160],"this":[161],"called":[164],"setup":[166,171],"time,":[170],"independent":[180],"empty,":[188],"goes":[191],"at":[193,199,217],"most":[194],"J":[195],"vacations":[196],"repeatedly":[197],"until":[198],"least":[200],"one":[201],"recorded":[204],"orbit.":[207],"generating":[210],"function":[211],"steady":[213],"size":[216],"epoch":[219],"obtained":[221],"using":[222],"supplementary":[223],"variable":[224],"technique.":[225],"Various":[226],"models":[227],"studied":[228],"earlier":[229],"discussed":[231],"special":[233],"cases":[234],"our":[236],"model,":[237],"by":[238],"appropriate":[239],"choice":[240],"parameter":[242],"values.":[243],"Some":[244],"well":[247],"reliability":[249],"indices":[250,271],"predict":[252],"behaviour":[254],"derived.":[260],"effects":[262],"various":[264],"parameters":[266],"performance":[270],"examined":[274],"numerically.":[275]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2016-06-24T00:00:00"}