{"id":"https://openalex.org/W2159392028","doi":"https://doi.org/10.1093/comjnl/bxt118","title":"On the Analysis of a M/M/1 Queue with Bulk Services","display_name":"On the Analysis of a M/M/1 Queue with Bulk Services","publication_year":2013,"publication_date":"2013-11-11","ids":{"openalex":"https://openalex.org/W2159392028","doi":"https://doi.org/10.1093/comjnl/bxt118","mag":"2159392028"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxt118","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxt118","pdf_url":"https://academic.oup.com/comjnl/article-pdf/58/1/57/5071652/bxt118.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/comjnl/article-pdf/58/1/57/5071652/bxt118.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056160729","display_name":"Gianfranco Balbo","orcid":"https://orcid.org/0000-0001-8719-9267"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["IT","SA"],"is_corresponding":false,"raw_author_name":"G. Balbo","raw_affiliation_strings":["Dipartimento di Informatica,Universit\u00e0 di Torino, C.so Svizzera 135, Torino, Italy","Faculty of Information and Communication Technology at Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica,Universit\u00e0 di Torino, C.so Svizzera 135, Torino, Italy","institution_ids":["https://openalex.org/I55143463"]},{"raw_affiliation_string":"Faculty of Information and Communication Technology at Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004198778","display_name":"Maria Grazia Vigliotti","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"M. G. Vigliotti","raw_affiliation_strings":["Department of Computing, Imperial College London, South Kensington Campus, SW7 2AZ London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, South Kensington Campus, SW7 2AZ London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004198778"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.23720746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"58","issue":"1","first_page":"57","last_page":"74"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9603999853134155,"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/T11720","display_name":"Probability and Risk Models","score":0.9445000290870667,"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/computer-science","display_name":"Computer science","score":0.7126071453094482},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6883888244628906},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.63067626953125},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5844032168388367},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.5763940811157227},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5471630692481995},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4929506778717041},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.4823150634765625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4397381842136383},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4157610237598419},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.32375210523605347},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.24043986201286316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21798256039619446},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09407326579093933}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7126071453094482},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6883888244628906},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.63067626953125},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5844032168388367},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.5763940811157227},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5471630692481995},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4929506778717041},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.4823150634765625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4397381842136383},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4157610237598419},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.32375210523605347},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.24043986201286316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21798256039619446},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09407326579093933},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comjnl/bxt118","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxt118","pdf_url":"https://academic.oup.com/comjnl/article-pdf/58/1/57/5071652/bxt118.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},{"id":"pmh:oai:iris.unito.it:2318/147265","is_oa":true,"landing_page_url":"http://hdl.handle.net/2318/147265","pdf_url":"http://hdl.handle.net/2318/147265","source":{"id":"https://openalex.org/S4306400637","display_name":"Institutional Research Information System University of Turin (University of Turin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55143463","host_organization_name":"University of Turin","host_organization_lineage":["https://openalex.org/I55143463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1093/comjnl/bxt118","is_oa":true,"landing_page_url":"https://doi.org/10.1093/comjnl/bxt118","pdf_url":"https://academic.oup.com/comjnl/article-pdf/58/1/57/5071652/bxt118.pdf","source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G6212148406","display_name":null,"funder_award_id":"AMALFI","funder_id":"https://openalex.org/F4320309746","funder_display_name":"Compagnia di San Paolo"}],"funders":[{"id":"https://openalex.org/F4320309746","display_name":"Compagnia di San Paolo","ror":"https://ror.org/00d1b1c41"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2159392028.pdf","grobid_xml":"https://content.openalex.org/works/W2159392028.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W74019428","https://openalex.org/W1508957056","https://openalex.org/W1520666268","https://openalex.org/W1592933258","https://openalex.org/W2010470943","https://openalex.org/W2010744884","https://openalex.org/W2053491613","https://openalex.org/W2056377128","https://openalex.org/W2067796696","https://openalex.org/W2072282266","https://openalex.org/W2074334106","https://openalex.org/W2091746699","https://openalex.org/W2143280922","https://openalex.org/W2152530926","https://openalex.org/W2511894128","https://openalex.org/W2798897840","https://openalex.org/W4237938035","https://openalex.org/W4298401620","https://openalex.org/W4301248453","https://openalex.org/W4302593574"],"related_works":["https://openalex.org/W2368961776","https://openalex.org/W1535772705","https://openalex.org/W2361230975","https://openalex.org/W2184312385","https://openalex.org/W2733370038","https://openalex.org/W2019804508","https://openalex.org/W2379185310","https://openalex.org/W2007781440","https://openalex.org/W4386352989","https://openalex.org/W2384271358"],"abstract_inverted_index":{"The":[0],"analysis":[1],"of":[2,8,26,29,42,51,68,73,75,87,94,119,130,186],"a":[3,11,22,38,69,76,100],"queue":[4,33,53,65,83,112],"that":[5,21,58,109],"serves":[6],"batches":[7],"customers":[9,30,60,74],"with":[10],"novel":[12],"service":[13],"policy":[14],"is":[15],"presented":[16],"in":[17,31,127],"this":[18,52,187],"paper,":[19],"showing":[20],"closed":[23],"steady-state":[24,96],"distribution":[25,97],"the":[27,32,56,64,82,85,88,92,95,111,116,128,149,158,182],"number":[28],"can":[34],"be":[35],"derived":[36],"for":[37,151,161],"very":[39,125],"general":[40],"setting":[41],"its":[43],"parameters.":[44],"Two":[45],"output":[46,117],"processes":[47],"are":[48,61,79,107,124,165,178],"flowing":[49],"out":[50],"depending":[54,114],"on":[55,91,115,140],"fact":[57],"single":[59],"removed":[62],"from":[63,81,190],"upon":[66],"completion":[67,86],"service,":[70],"or":[71],"bulks":[72],"fixed":[77],"size":[78],"departing":[80],"at":[84],"service's.":[89],"Based":[90],"expression":[93],"which":[98],"assumes":[99],"Poisson":[101],"arrival":[102],"process,":[103],"specific":[104],"parameter":[105,163],"configurations":[106],"identified":[108],"make":[110],"quasi-reversible,":[113],"process":[118],"interest.":[120],"Since":[121],"quasi-reversible":[122],"queues":[123],"important":[126],"context":[129],"product":[131],"form":[132],"queueing":[133],"networks,":[134],"these":[135],"results":[136,159],"have":[137],"relevant":[138],"impacts":[139],"their":[141],"own":[142],"as":[143,145,148],"well":[144],"when":[146],"considered":[147],"basis":[150],"possible":[152],"computationally":[153],"efficient":[154],"approximations.":[155],"Comparisons":[156],"among":[157],"obtained":[160],"different":[162],"settings":[164],"provided":[166],"using":[167],"both":[168],"stochastic":[169],"order":[170],"arguments":[171],"and":[172],"numerical":[173],"experiments.":[174],"Future":[175],"research":[176],"directions":[177],"proposed":[179],"considering":[180],"also":[181],"many":[183],"practical":[184],"applications":[185],"model":[188],"ranging":[189],"flexible":[191],"manufacturing,":[192],"to":[193,195],"logistics,":[194],"transportation":[196],"systems.":[197]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
