{"id":"https://openalex.org/W1967986582","doi":"https://doi.org/10.1016/0305-0548(77)90007-7","title":"Transient solutions in markovian queueing systems","display_name":"Transient solutions in markovian queueing systems","publication_year":1977,"publication_date":"1977-01-01","ids":{"openalex":"https://openalex.org/W1967986582","doi":"https://doi.org/10.1016/0305-0548(77)90007-7","mag":"1967986582"},"language":"en","primary_location":{"id":"doi:10.1016/0305-0548(77)90007-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(77)90007-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","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/A5025740421","display_name":"Winfried K. Grassmann","orcid":"https://orcid.org/0000-0002-1446-4020"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"W.K. Grassmann","raw_affiliation_strings":["University of Saskatchewan, USA","University of Saskatchewan , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Saskatchewan, USA","institution_ids":["https://openalex.org/I32625721"]},{"raw_affiliation_string":"University of Saskatchewan , USA","institution_ids":["https://openalex.org/I32625721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025740421"],"corresponding_institution_ids":["https://openalex.org/I32625721"],"apc_list":{"value":3570,"currency":"USD","value_usd":3570},"apc_paid":null,"fwci":5.0131,"has_fulltext":false,"cited_by_count":289,"citation_normalized_percentile":{"value":0.94429939,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"4","issue":"1","first_page":"47","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9976000189781189,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/transient","display_name":"Transient (computer programming)","score":0.8226888179779053},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.7605549693107605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6738141179084778},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6105020046234131},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5440740585327148},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5258781909942627},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4746687412261963},{"id":"https://openalex.org/keywords/layered-queueing-network","display_name":"Layered queueing network","score":0.42891982197761536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28942230343818665},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11721393465995789},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08352139592170715},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06379804015159607}],"concepts":[{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.8226888179779053},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.7605549693107605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6738141179084778},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6105020046234131},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5440740585327148},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5258781909942627},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4746687412261963},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.42891982197761536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28942230343818665},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11721393465995789},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08352139592170715},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06379804015159607},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0305-0548(77)90007-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(77)90007-7","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W267565759","https://openalex.org/W1965399019","https://openalex.org/W1973417355","https://openalex.org/W1977261104","https://openalex.org/W1987664276","https://openalex.org/W2006412395","https://openalex.org/W2028145673","https://openalex.org/W2093269995","https://openalex.org/W2291496023","https://openalex.org/W2588918210","https://openalex.org/W2751862591","https://openalex.org/W2797881635","https://openalex.org/W2800783573","https://openalex.org/W4285719527","https://openalex.org/W6609996997","https://openalex.org/W6641409908","https://openalex.org/W6646909095","https://openalex.org/W6697180004","https://openalex.org/W6764085066"],"related_works":["https://openalex.org/W1701464461","https://openalex.org/W2277404648","https://openalex.org/W36834199","https://openalex.org/W2168047232","https://openalex.org/W2121863833","https://openalex.org/W2137668347","https://openalex.org/W2149540948","https://openalex.org/W2170282368","https://openalex.org/W1977970311","https://openalex.org/W4235045732"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}