{"id":"https://openalex.org/W2071817256","doi":"https://doi.org/10.1007/s10626-011-0114-y","title":"Piecewise constant timed continuous PNs for the steady state estimation of stochastic PNs","display_name":"Piecewise constant timed continuous PNs for the steady state estimation of stochastic PNs","publication_year":2011,"publication_date":"2011-07-13","ids":{"openalex":"https://openalex.org/W2071817256","doi":"https://doi.org/10.1007/s10626-011-0114-y","mag":"2071817256"},"language":"en","primary_location":{"id":"doi:10.1007/s10626-011-0114-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10626-011-0114-y","pdf_url":null,"source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"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":"Discrete Event Dynamic 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/A5003454609","display_name":"Dimitri Lefebvre","orcid":"https://orcid.org/0000-0001-7060-756X"},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4392021253","display_name":"Groupe de Recherche en Electrotechnique et Automatique du Havre","ror":"https://ror.org/03qcqf034","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4392021253"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dimitri Lefebvre","raw_affiliation_strings":["GREAH, University Le Havre, 25 rue Philippe Lebon, BP540, Le Havre, France","GREAH, University Le Havre, Le Havre, France#TAB#"],"affiliations":[{"raw_affiliation_string":"GREAH, University Le Havre, 25 rue Philippe Lebon, BP540, Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4392021253"]},{"raw_affiliation_string":"GREAH, University Le Havre, Le Havre, France#TAB#","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4392021253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085647262","display_name":"Edouard Leclercq","orcid":"https://orcid.org/0000-0003-2840-1378"},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4392021253","display_name":"Groupe de Recherche en Electrotechnique et Automatique du Havre","ror":"https://ror.org/03qcqf034","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4392021253"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edouard Leclercq","raw_affiliation_strings":["GREAH, University Le Havre, 25 rue Philippe Lebon, BP540, Le Havre, France","GREAH, University Le Havre, Le Havre, France#TAB#"],"affiliations":[{"raw_affiliation_string":"GREAH, University Le Havre, 25 rue Philippe Lebon, BP540, Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4392021253"]},{"raw_affiliation_string":"GREAH, University Le Havre, Le Havre, France#TAB#","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4392021253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003454609"],"corresponding_institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4392021253"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.9032,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93838723,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"2","first_page":"179","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9965999722480774,"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":0.9948999881744385,"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/piecewise","display_name":"Piecewise","score":0.766488790512085},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6996750235557556},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6956377625465393},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.6295328140258789},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.5726240277290344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5176763534545898},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5078223347663879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070343017578125},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48914793133735657},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.4888846278190613},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4799811542034149},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.46692606806755066},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4445129632949829},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.41593849658966064},{"id":"https://openalex.org/keywords/continuous-time-stochastic-process","display_name":"Continuous-time stochastic process","score":0.4156442880630493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3604257106781006},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21916398406028748},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17451244592666626},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.08086347579956055}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.766488790512085},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6996750235557556},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6956377625465393},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.6295328140258789},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.5726240277290344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5176763534545898},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5078223347663879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070343017578125},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48914793133735657},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.4888846278190613},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4799811542034149},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.46692606806755066},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4445129632949829},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.41593849658966064},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.4156442880630493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3604257106781006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21916398406028748},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17451244592666626},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.08086347579956055},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/s10626-011-0114-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10626-011-0114-y","pdf_url":null,"source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"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":"Discrete Event Dynamic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329938","display_name":"R\u00e9gion Normandie","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1481465901","https://openalex.org/W1515112361","https://openalex.org/W1530920082","https://openalex.org/W1537624148","https://openalex.org/W1550064664","https://openalex.org/W1583061463","https://openalex.org/W1988696786","https://openalex.org/W1992840619","https://openalex.org/W2001511858","https://openalex.org/W2010311414","https://openalex.org/W2016989291","https://openalex.org/W2019972769","https://openalex.org/W2030522213","https://openalex.org/W2037411588","https://openalex.org/W2070645909","https://openalex.org/W2081678986","https://openalex.org/W2097790134","https://openalex.org/W2117800797","https://openalex.org/W2125739093","https://openalex.org/W2126699257","https://openalex.org/W2134574912","https://openalex.org/W2135237662","https://openalex.org/W2154046436","https://openalex.org/W2156131941","https://openalex.org/W4236012990","https://openalex.org/W4246415257"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2916743419","https://openalex.org/W2381491984","https://openalex.org/W2888652631","https://openalex.org/W2042280983","https://openalex.org/W2026456043","https://openalex.org/W4234195898","https://openalex.org/W2321888438","https://openalex.org/W1995427843","https://openalex.org/W2369445029"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
