{"id":"https://openalex.org/W2093954238","doi":"https://doi.org/10.1007/s11134-004-5556-6","title":"Services within a Busy Period of an M/M/1 Queue and Dyck Paths","display_name":"Services within a Busy Period of an M/M/1 Queue and Dyck Paths","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2093954238","doi":"https://doi.org/10.1007/s11134-004-5556-6","mag":"2093954238"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-004-5556-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-004-5556-6","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0707.4124","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083971005","display_name":"Moez Draief","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Moez Draief","raw_affiliation_strings":["LIAFA, CNRS, Universit\u00e9 Paris 7, case 7014, 2 place Jussieu, 75251, Paris Cedex 05, France","LIAFA, CNRS, Universit\u00e9 Paris 7, Paris Cedex 05, France 75251#TAB#"],"affiliations":[{"raw_affiliation_string":"LIAFA, CNRS, Universit\u00e9 Paris 7, case 7014, 2 place Jussieu, 75251, Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIAFA, CNRS, Universit\u00e9 Paris 7, Paris Cedex 05, France 75251#TAB#","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111978211","display_name":"Jean Mairesse","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Mairesse","raw_affiliation_strings":["LIAFA, CNRS, Universit\u00e9 Paris 7, case 7014, 2 place Jussieu, 75251, Paris Cedex 05, France","LIAFA, CNRS, Universit\u00e9 Paris 7, Paris Cedex 05, France 75251#TAB#"],"affiliations":[{"raw_affiliation_string":"LIAFA, CNRS, Universit\u00e9 Paris 7, case 7014, 2 place Jussieu, 75251, Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIAFA, CNRS, Universit\u00e9 Paris 7, Paris Cedex 05, France 75251#TAB#","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083971005"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4774,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8458529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"1","first_page":"73","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9865999817848206,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6172806024551392},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.5950548648834229},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.54204261302948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5309901833534241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5034262537956238},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4759996831417084},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4555179178714752},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.426433801651001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3952638804912567},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3388187289237976},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3251073658466339},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.22354966402053833},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18867802619934082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11528801918029785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10586628317832947},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.08876067399978638},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08428683876991272}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6172806024551392},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.5950548648834229},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.54204261302948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5309901833534241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5034262537956238},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4759996831417084},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4555179178714752},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.426433801651001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3952638804912567},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3388187289237976},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3251073658466339},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.22354966402053833},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18867802619934082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11528801918029785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10586628317832947},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.08876067399978638},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08428683876991272},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11134-004-5556-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-004-5556-6","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"},{"id":"pmh:oai:arXiv.org:0707.4124","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0707.4124","pdf_url":"https://arxiv.org/pdf/0707.4124","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-00164894v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00164894","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Queueing Systems, 2005, 49 (1), pp.73-84. &#x27E8;10.1007/s11134-004-5556-6&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0707.4124","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0707.4124","pdf_url":"https://arxiv.org/pdf/0707.4124","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6700000166893005,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W164793538","https://openalex.org/W634878933","https://openalex.org/W636450945","https://openalex.org/W1528326162","https://openalex.org/W1551177513","https://openalex.org/W2029948740","https://openalex.org/W2065249595","https://openalex.org/W2084079228","https://openalex.org/W2105288904","https://openalex.org/W2329095262","https://openalex.org/W2334369124","https://openalex.org/W2914659449","https://openalex.org/W3027878608"],"related_works":["https://openalex.org/W2590211375","https://openalex.org/W2581822552","https://openalex.org/W2579643896","https://openalex.org/W2361078629","https://openalex.org/W2427383484","https://openalex.org/W4387296015","https://openalex.org/W2579680219","https://openalex.org/W1488915263","https://openalex.org/W2487488994","https://openalex.org/W2077799587"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
