{"id":"https://openalex.org/W3017008472","doi":"https://doi.org/10.1007/978-3-030-51831-8_13","title":"Piecewise Affine Dynamical Models of Timed Petri Nets -- Application to Emergency Call Centers","display_name":"Piecewise Affine Dynamical Models of Timed Petri Nets -- Application to Emergency Call Centers","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3017008472","doi":"https://doi.org/10.1007/978-3-030-51831-8_13","mag":"3017008472"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-51831-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-51831-8_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://fi.episciences.org/8822/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089577044","display_name":"Xavier Allamigeon","orcid":"https://orcid.org/0000-0002-0258-8018"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xavier Allamigeon","raw_affiliation_strings":["French Institute for Research in Computer Science and Automation"],"affiliations":[{"raw_affiliation_string":"French Institute for Research in Computer Science and Automation","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025820539","display_name":"Marin Boyet","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marin Boyet","raw_affiliation_strings":["INRIA and CMAP, \u00c9cole Polytechnique, IP Paris, CNRS, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA and CMAP, \u00c9cole Polytechnique, IP Paris, CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082671255","display_name":"St\u00e9phane Gaubert","orcid":"https://orcid.org/0000-0002-2777-9988"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":false,"raw_author_name":"St\u00e9phane Gaubert","raw_affiliation_strings":["INRIA and CMAP, \u00c9cole Polytechnique, IP Paris, CNRS, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA and CMAP, \u00c9cole Polytechnique, IP Paris, CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089577044"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50736296,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 183, Issues 3-4: Petri...","issue":null,"first_page":"260","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9993000030517578,"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":0.9993000030517578,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9961000084877014,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9945999979972839,"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/petri-net","display_name":"Petri net","score":0.8330268859863281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.658628523349762},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5766593217849731},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5424131155014038},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.541146457195282},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5222771167755127},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.5102672576904297},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.504668116569519},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43052423000335693},{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.4134325385093689},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.41165032982826233},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38993510603904724},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.37318846583366394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3387535810470581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3185994327068329},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17262551188468933},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08689466118812561}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8330268859863281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.658628523349762},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5766593217849731},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5424131155014038},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.541146457195282},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5222771167755127},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.5102672576904297},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.504668116569519},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43052423000335693},{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.4134325385093689},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.41165032982826233},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38993510603904724},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.37318846583366394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3387535810470581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3185994327068329},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17262551188468933},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08689466118812561},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/978-3-030-51831-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-51831-8_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.46298/.7629","is_oa":true,"landing_page_url":"https://doi.org/10.46298/.7629","pdf_url":"https://fi.episciences.org/8822/pdf","source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02550006v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02550006","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae, 2021, 183 (3-4), pp.169-201. ⟨10.3233/FI-2021-2086⟩","raw_type":"Journal articles"},{"id":"pmh:oai:arXiv.org:2004.09483","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.09483","pdf_url":"https://arxiv.org/pdf/2004.09483","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"mag:3017008472","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.09483.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:7324221","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7324221","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Application and Theory of Petri Nets and Concurrency","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2004.09483","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.09483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.46298/.7629","is_oa":true,"landing_page_url":"https://doi.org/10.46298/.7629","pdf_url":"https://fi.episciences.org/8822/pdf","source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2249808486","display_name":null,"funder_award_id":"ANR-11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3807293409","display_name":null,"funder_award_id":"ANR-11-LABX-00","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4895254678","display_name":null,"funder_award_id":"ANR-11-LABX-0056","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6395863086","display_name":null,"funder_award_id":"11-LABX-0056-LMH","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320309959","display_name":"Minist\u00e8re de l'Int\u00e9rieur","ror":"https://ror.org/015jj1011"},{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017008472.pdf","grobid_xml":"https://content.openalex.org/works/W3017008472.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W116735976","https://openalex.org/W1500921805","https://openalex.org/W1685227976","https://openalex.org/W1965351612","https://openalex.org/W1967553012","https://openalex.org/W1985436841","https://openalex.org/W2005357215","https://openalex.org/W2030522213","https://openalex.org/W2034939914","https://openalex.org/W2056116836","https://openalex.org/W2095807485","https://openalex.org/W2110905757","https://openalex.org/W2111971348","https://openalex.org/W2112804068","https://openalex.org/W2119567691","https://openalex.org/W2127205843","https://openalex.org/W2128857696","https://openalex.org/W2170793209","https://openalex.org/W2212342757","https://openalex.org/W2798220969","https://openalex.org/W2884777291","https://openalex.org/W2963324140","https://openalex.org/W3203995261","https://openalex.org/W4246108584"],"related_works":["https://openalex.org/W2788406930","https://openalex.org/W1750781857","https://openalex.org/W2911498600","https://openalex.org/W2346489414","https://openalex.org/W2883671867","https://openalex.org/W2535342784","https://openalex.org/W2121006055","https://openalex.org/W618873733","https://openalex.org/W2791184416","https://openalex.org/W2077057934","https://openalex.org/W1992409238","https://openalex.org/W1603479876","https://openalex.org/W2172102371","https://openalex.org/W3163787131","https://openalex.org/W2106641552","https://openalex.org/W1568502976","https://openalex.org/W2293229327","https://openalex.org/W64054199","https://openalex.org/W2094366288","https://openalex.org/W2161617103"],"abstract_inverted_index":{"We":[0,10,22,35,87,107],"study":[1],"timed":[2,42],"Petri":[3,43],"nets,":[4],"with":[5],"preselection":[6],"and":[7,45,59],"priority":[8],"routing.":[9],"represent":[11],"the":[12,26,53,60,64,77,81,96,104,120,123,134],"behavior":[13],"of":[14,28,63,83,99,122,133,143],"these":[15,33,89],"systems":[16],"by":[17,73,91],"piecewise":[18],"affine":[19],"dynamical":[20],"systems.":[21,34],"use":[23],"tools":[24],"from":[25,49],"theory":[27],"nonexpansive":[29],"mappings":[30],"to":[31,55,95,113],"analyze":[32],"establishan":[36],"equivalence":[37],"theorem":[38],"between":[39],"priority-free":[40],"fluid":[41],"nets":[44],"semi-Markov":[46],"decision":[47],"processes,":[48],"which":[50],"we":[51,68],"derive":[52],"convergence":[54],"a":[56,84,92,114,140],"periodic":[57],"regime":[58],"polynomial-time":[61],"computability":[62],"throughput.":[65],"More":[66],"generally,":[67],"develop":[69],"an":[70,130],"approach":[71],"inspired":[72],"tropical":[74],"geometry,":[75],"characterizing":[76],"congestion":[78],"phases":[79],"as":[80],"cells":[82],"polyhedral":[85],"complex.":[86],"illustrate":[88],"results":[90],"current":[93],"application":[94],"performance":[97],"evaluation":[98],"emergency":[100],"call":[101],"centers":[102],"in":[103,117,139],"Paris":[105],"area.":[106],"show":[108],"that":[109],"priorities":[110],"can":[111],"lead":[112],"paradoxical":[115],"behavior:":[116],"certain":[118],"regimes,":[119],"throughput":[121],"most":[124],"prioritary":[125],"task":[126],"may":[127],"not":[128],"be":[129],"increasing":[131],"function":[132],"resources.":[135],"Comment:":[136],"To":[137],"appear":[138],"special":[141],"issue":[142],"Fundamenta":[144],"Informaticae":[145]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2020-04-24T00:00:00"}