{"id":"https://openalex.org/W1969229083","doi":"https://doi.org/10.1007/bf01158395","title":"Computational analysis of steady-state probabilities of M/Ga,b/1 and related nonbulk queues","display_name":"Computational analysis of steady-state probabilities of M/Ga,b/1 and related nonbulk queues","publication_year":1987,"publication_date":"1987-06-01","ids":{"openalex":"https://openalex.org/W1969229083","doi":"https://doi.org/10.1007/bf01158395","mag":"1969229083"},"language":"en","primary_location":{"id":"doi:10.1007/bf01158395","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01158395","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-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/A5024142582","display_name":"M. L. Chaudhry","orcid":"https://orcid.org/0000-0003-0165-114X"},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"M. L. Chaudhry","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, K7K-5L0, Kingston, Ontario, Canada","Royal Military Coll. of Canada, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, K7K-5L0, Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"Royal Military Coll. of Canada, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029084730","display_name":"B. R. Madill","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. R. Madill","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, K7K-5L0, Kingston, Ontario, Canada","Royal Military Coll. of Canada, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, K7K-5L0, Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"Royal Military Coll. of Canada, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097556922","display_name":"G. Bri\ufffdre","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"G. Bri\ufffdre","raw_affiliation_strings":["Royal Military Coll. of Canada, Kingston, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Royal Military Coll. of Canada, Kingston, Ont., Canada","institution_ids":["https://openalex.org/I51768193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024142582"],"corresponding_institution_ids":["https://openalex.org/I51768193"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.619,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.89457831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"2","first_page":"93","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9969000220298767,"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":0.9969000220298767,"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":0.9835000038146973,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9810000061988831,"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/queueing-theory","display_name":"Queueing theory","score":0.7546897530555725},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6636378765106201},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5387682914733887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4993128776550293},{"id":"https://openalex.org/keywords/bulk-queue","display_name":"Bulk queue","score":0.4836336374282837},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43620288372039795},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.43354931473731995},{"id":"https://openalex.org/keywords/fork\u2013join-queue","display_name":"Fork\u2013join queue","score":0.4234636127948761},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3996821343898773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3521873950958252},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3496457040309906},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34208694100379944},{"id":"https://openalex.org/keywords/queue-management-system","display_name":"Queue management system","score":0.22635045647621155},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13070863485336304},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.130247563123703}],"concepts":[{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.7546897530555725},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6636378765106201},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5387682914733887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4993128776550293},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4836336374282837},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43620288372039795},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.43354931473731995},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.4234636127948761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3996821343898773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3521873950958252},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3496457040309906},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34208694100379944},{"id":"https://openalex.org/C128220111","wikidata":"https://www.wikidata.org/wiki/Q4531011","display_name":"Queue management system","level":3,"score":0.22635045647621155},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13070863485336304},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.130247563123703},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01158395","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01158395","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1979585884","https://openalex.org/W1995776401","https://openalex.org/W2037960136","https://openalex.org/W2039185677","https://openalex.org/W2045585979","https://openalex.org/W2056515188","https://openalex.org/W2063717661","https://openalex.org/W2073895754","https://openalex.org/W2091746699","https://openalex.org/W2110088577","https://openalex.org/W2118594366","https://openalex.org/W2142604864","https://openalex.org/W2154602821","https://openalex.org/W2214226905","https://openalex.org/W2322870642","https://openalex.org/W4238800329","https://openalex.org/W4251350008","https://openalex.org/W4301248453"],"related_works":["https://openalex.org/W585571222","https://openalex.org/W761466086","https://openalex.org/W2061080557","https://openalex.org/W2912242517","https://openalex.org/W2143309208","https://openalex.org/W2374481311","https://openalex.org/W1556477456","https://openalex.org/W2170730458","https://openalex.org/W2733370038","https://openalex.org/W2019804508"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}