{"id":"https://openalex.org/W1542083778","doi":"https://doi.org/10.1109/mascot.1995.378695","title":"Product form in discrete-time queueing networks: new issues","display_name":"Product form in discrete-time queueing networks: new issues","publication_year":2002,"publication_date":"2002-11-19","ids":{"openalex":"https://openalex.org/W1542083778","doi":"https://doi.org/10.1109/mascot.1995.378695","mag":"1542083778"},"language":"en","primary_location":{"id":"doi:10.1109/mascot.1995.378695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mascot.1995.378695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MASCOTS '95. Proceedings of the Third International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems","raw_type":"proceedings-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/A5107521564","display_name":"Guy Pujolle","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165330","display_name":"Institut Lavoisier de Versailles","ror":"https://ror.org/05mzd8v39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4210128300","https://openalex.org/I4210165330"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G. Pujolle","raw_affiliation_strings":["Laboratoire PRiSM, University of Versailles, Versailles, France","Lab. PRiSM, Versailles Univ., France"],"affiliations":[{"raw_affiliation_string":"Laboratoire PRiSM, University of Versailles, Versailles, France","institution_ids":["https://openalex.org/I4210165330"]},{"raw_affiliation_string":"Lab. PRiSM, Versailles Univ., France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5107521564"],"corresponding_institution_ids":["https://openalex.org/I4210165330"],"apc_list":null,"apc_paid":null,"fwci":0.494,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66675712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"148","last_page":"153"},"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/T11716","display_name":"Random Matrices and Applications","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social 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":0.74997878074646},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6810513734817505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6340214610099792},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6337308883666992},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5819916129112244},{"id":"https://openalex.org/keywords/layered-queueing-network","display_name":"Layered queueing network","score":0.5170448422431946},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.5051000714302063},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.49036192893981934},{"id":"https://openalex.org/keywords/geometric-distribution","display_name":"Geometric distribution","score":0.43752962350845337},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.43306246399879456},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39757129549980164},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35299181938171387},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3497910499572754},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.2877361476421356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2732398211956024},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.265594482421875},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1325908899307251}],"concepts":[{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.74997878074646},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6810513734817505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6340214610099792},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6337308883666992},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5819916129112244},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.5170448422431946},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.5051000714302063},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.49036192893981934},{"id":"https://openalex.org/C39947850","wikidata":"https://www.wikidata.org/wiki/Q729523","display_name":"Geometric distribution","level":3,"score":0.43752962350845337},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.43306246399879456},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39757129549980164},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35299181938171387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3497910499572754},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2877361476421356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2732398211956024},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.265594482421875},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1325908899307251},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mascot.1995.378695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mascot.1995.378695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MASCOTS '95. Proceedings of the Third International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1504207257","https://openalex.org/W1548740867","https://openalex.org/W2010763333","https://openalex.org/W2018591071","https://openalex.org/W2067796696","https://openalex.org/W2083272799","https://openalex.org/W2096451552","https://openalex.org/W2105123586","https://openalex.org/W2124658428","https://openalex.org/W2140367040","https://openalex.org/W2142581964","https://openalex.org/W2321852695","https://openalex.org/W2326585472","https://openalex.org/W4254669890"],"related_works":["https://openalex.org/W1968198031","https://openalex.org/W1701464461","https://openalex.org/W2168047232","https://openalex.org/W2121863833","https://openalex.org/W2137668347","https://openalex.org/W2299822401","https://openalex.org/W1977970311","https://openalex.org/W1600602066","https://openalex.org/W2149540948","https://openalex.org/W36834199"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"product":[3,39],"form":[4,40],"equilibrium":[5],"distributions":[6],"for":[7,21,63],"different":[8],"types":[9],"of":[10,71],"discrete-time":[11,65],"queueing":[12,66],"systems,":[13],"in":[14],"which":[15],"group":[16],"transitions":[17],"are":[18],"allowed":[19],"both":[20],"arrival":[22,29,48],"and":[23,50],"service":[24,54],"processes.":[25],"Only":[26],"the":[27,34,38,69],"late":[28],"case":[30],"is":[31,36,41],"considered.":[32],"When":[33],"system":[35],"open":[37],"valid":[42],"when":[43],"we":[44,58],"assume":[45],"a":[46,51,76],"geometric":[47,53],"process":[49],"truncated":[52,77],"time":[55],"distribution.":[56],"Then,":[57],"develop":[59],"some":[60],"new":[61],"results":[62],"closed":[64],"networks":[67],"where":[68],"number":[70],"customers":[72],"served":[73],"out":[74],"follows":[75],"Poisson":[78],"process.<":[79],"<ETX":[80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">&gt;</ETX>":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
