{"id":"https://openalex.org/W1990851137","doi":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","title":"A finite capacity GI/PH/1 queue with group services","display_name":"A finite capacity GI/PH/1 queue with group services","publication_year":1992,"publication_date":"1992-04-01","ids":{"openalex":"https://openalex.org/W1990851137","doi":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","mag":"1990851137"},"language":"en","primary_location":{"id":"doi:10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","doi":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","pdf_url":null,"source":{"id":"https://openalex.org/S182666042","display_name":"Naval Research Logistics (NRL)","issn_l":"0894-069X","issn":["0894-069X","1520-6750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Naval Research Logistics","raw_type":"journal-article"},"volume":null,"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/A5029531250","display_name":"Srinivas R. Chakravarthy","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. Chakravarthy","raw_affiliation_strings":["Department of Science and Mathematics, GMI Engineering & Management Institute, Flint, Michigan 48504"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Science and Mathematics, GMI Engineering & Management Institute, Flint, Michigan 48504","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5029531250"],"corresponding_institution_ids":[],"apc_list":{"value":3700,"currency":"USD","value_usd":3700},"apc_paid":null,"fwci":1.6034,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.83189555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"39","issue":"3","first_page":"345","last_page":"357"},"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/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"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-buffer-queue","display_name":"finite capacity queue","score":0.7850000262260437},{"id":"https://openalex.org/keywords/group-services","display_name":"group services","score":0.7009999752044678},{"id":"https://openalex.org/keywords/phase-type-distributions","display_name":"phase-type distributions","score":0.6970000267028809},{"id":"https://openalex.org/keywords/renewal-arrivals","display_name":"renewal arrivals","score":0.7289999723434448},{"id":"https://openalex.org/keywords/steady-state-queue-length","display_name":"steady-state queue length","score":0.7540000081062317},{"id":"https://openalex.org/keywords/throughput","display_name":"throughput","score":0.7950000166893005},{"id":"https://openalex.org/keywords/laplace-stieltjes-transform","display_name":"Laplace-Stieltjes transform","score":0.8999999761581421},{"id":"https://openalex.org/keywords/waiting-time-distribution","display_name":"waiting time distribution","score":0.8309999704360962},{"id":"https://openalex.org/keywords/optimal-group-size","display_name":"optimal group size","score":0.7450000047683716},{"id":"https://openalex.org/keywords/average-waiting-time","display_name":"average waiting time","score":0.7820000052452087},{"id":"https://openalex.org/keywords/single-server-queue","display_name":"single-server queue","score":0.8809999823570251}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6453421115875244},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6386339068412781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.513447642326355},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.474031001329422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4515494406223297},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4485359489917755},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4108086824417114},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4099518656730652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37961578369140625},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2347928285598755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18278434872627258},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11891743540763855},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","doi":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1520-6750(199204)39:3<345::aid-nav3220390305>3.0.co;2-v","pdf_url":null,"source":{"id":"https://openalex.org/S182666042","display_name":"Naval Research Logistics (NRL)","issn_l":"0894-069X","issn":["0894-069X","1520-6750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Naval Research Logistics","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.kettering.edu:industrialmanuf_eng_facultypubs-1088","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/88","pdf_url":null,"source":{"id":"https://openalex.org/S4377196609","display_name":"Kettering University Digital Commons (Kettering University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39965400","host_organization_name":"Kettering University","host_organization_lineage":["https://openalex.org/I39965400"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Industrial & Manufacturing Engineering Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2154602821"],"related_works":["https://openalex.org/W1999259549","https://openalex.org/W1964443024","https://openalex.org/W4303856644","https://openalex.org/W2035065279","https://openalex.org/W2891963515","https://openalex.org/W2126313303","https://openalex.org/W2000353548","https://openalex.org/W7015068661","https://openalex.org/W2604744196","https://openalex.org/W2025846320"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,12,16,28,43],"finite-capacity":[3],"single-server":[4],"queue":[5],"in":[6,36,121],"which":[7],"arrivals":[8,56,85],"occur":[9],"one":[10],"at":[11,40,55,58,82,123],"time,":[13],"according":[14],"to":[15,91],"renewal":[17],"process.":[18],"The":[19,32,70],"successive":[20],"service":[21],"times":[22],"are":[23,34,68,115,119],"mutually":[24],"independent":[25],"and":[26,57,62],"have":[27],"common":[29],"phase-type":[30],"distribution.":[31],"customers":[33],"served":[35],"groups":[37],"of":[38,65,73,78,84,93,102,112,135,144],"size":[39],"least":[41],"L,":[42],"preassigned":[44],"threshold":[45],"value.":[46],"Explicit":[47],"analytic":[48],"expressions":[49],"for":[50,108,127],"the":[51,63,66,74,97,109,113,131,142,145],"steady-state":[52,110],"queue-length":[53],"densities":[54],"arbitrary":[59],"time":[60,134,148],"points,":[61],"throughput":[64],"system":[67],"obtained.":[69],"Laplace-Stieltjes":[71],"transform":[72],"stationary":[75],"waiting-time":[76],"distribution":[77],"an":[79,124,136],"admitted":[80,137],"customer":[81],"points":[83],"is":[86,89,100,149],"computed.":[87],"It":[88],"shown":[90],"be":[92],"phase":[94,103],"type":[95],"when":[96],"arrival":[98],"process":[99],"also":[101],"type.":[104],"Efficient":[105],"algorithmic":[106],"procedures":[107,118],"analysis":[111],"model":[114],"presented.":[116],"These":[117],"used":[120],"arriving":[122],"optimal":[125],"value":[126],"L":[128],"that":[129],"minimizes":[130],"mean":[132,146],"waiting":[133,147],"customer.":[138],"A":[139],"conjecture":[140],"on":[141],"nature":[143],"proposed.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":3}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2016-06-24T00:00:00"}