{"id":"https://openalex.org/W1976175144","doi":"https://doi.org/10.1016/0167-6377(95)00051-8","title":"On the relations among the distributions at different epochs for discrete-time GI/Geom/1 queues","display_name":"On the relations among the distributions at different epochs for discrete-time GI/Geom/1 queues","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W1976175144","doi":"https://doi.org/10.1016/0167-6377(95)00051-8","mag":"1976175144"},"language":"en","primary_location":{"id":"doi:10.1016/0167-6377(95)00051-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6377(95)00051-8","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"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":"Operations Research Letters","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, Kingston, Ontario, Canada K7K 5L0","Department of Mathematics and Computer Science , Royal Military College of Canada , Kingston, Ontario, Canada , K7K 5L0"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 5L0","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science , Royal Military College of Canada , Kingston, Ontario, Canada , K7K 5L0","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101866425","display_name":"Umesh Gupta","orcid":"https://orcid.org/0000-0003-4018-5006"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"U.C. Gupta","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India","Department of Mathematics, Indian Institute of Technology, Kharagpur 721302 India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kharagpur 721302 India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051687188","display_name":"J. G. C. Templeton","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J.G.C. Templeton","raw_affiliation_strings":["Department of Industrial Engineering, University of Toronto, Toronto, Ontario, Canada M5S 1A4"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Toronto, Toronto, Ontario, Canada M5S 1A4","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024142582"],"corresponding_institution_ids":["https://openalex.org/I51768193"],"apc_list":{"value":2760,"currency":"USD","value_usd":2760},"apc_paid":null,"fwci":0.7998,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.70861423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"5","first_page":"247","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9901000261306763,"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.965499997138977,"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/queue","display_name":"Queue","score":0.6902335286140442},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6059324741363525},{"id":"https://openalex.org/keywords/epoch","display_name":"Epoch (astronomy)","score":0.521056592464447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.461629182100296},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.45009949803352356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4206000566482544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4164109528064728},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32319068908691406},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12189751863479614},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1068001389503479}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6902335286140442},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6059324741363525},{"id":"https://openalex.org/C2780317896","wikidata":"https://www.wikidata.org/wiki/Q2703","display_name":"Epoch (astronomy)","level":3,"score":0.521056592464447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.461629182100296},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.45009949803352356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4206000566482544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4164109528064728},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32319068908691406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12189751863479614},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1068001389503479},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-6377(95)00051-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6377(95)00051-8","pdf_url":null,"source":{"id":"https://openalex.org/S27769002","display_name":"Operations Research Letters","issn_l":"0167-6377","issn":["0167-6377","1872-7468"],"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":"Operations Research Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1534265027","https://openalex.org/W1988984078","https://openalex.org/W2043030528","https://openalex.org/W2091746699","https://openalex.org/W2329187102"],"related_works":["https://openalex.org/W2392871747","https://openalex.org/W2391035523","https://openalex.org/W3122679363","https://openalex.org/W4233937365","https://openalex.org/W2392463700","https://openalex.org/W2356534600","https://openalex.org/W2350450974","https://openalex.org/W4251859918","https://openalex.org/W1573964254","https://openalex.org/W1969941841"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
