{"id":"https://openalex.org/W2138984094","doi":"https://doi.org/10.1109/mascot.2003.1240661","title":"An open tool to compute stochastic bounds on steady-state distributions and rewards","display_name":"An open tool to compute stochastic bounds on steady-state distributions and rewards","publication_year":2004,"publication_date":"2004-06-22","ids":{"openalex":"https://openalex.org/W2138984094","doi":"https://doi.org/10.1109/mascot.2003.1240661","mag":"2138984094"},"language":"en","primary_location":{"id":"doi:10.1109/mascot.2003.1240661","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mascot.2003.1240661","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"11th IEEE/ACM International Symposium on Modeling, Analysis and Simulation of Computer Telecommunications Systems, 2003. MASCOTS 2003.","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/A5109410627","display_name":"Jean-Michel Fourneau","orcid":null},"institutions":[{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J.-M. Fourneau","raw_affiliation_strings":["Prism Laboratory, Versailles University, Versailles, France","PRiSM Lab., Versailles Univ., France"],"affiliations":[{"raw_affiliation_string":"Prism Laboratory, Versailles University, Versailles, France","institution_ids":[]},{"raw_affiliation_string":"PRiSM Lab., Versailles Univ., France","institution_ids":["https://openalex.org/I4210125654"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002117270","display_name":"M. Le Coz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Le Coz","raw_affiliation_strings":["Prism Laboratory, Versailles University, Versailles, France","PRiSM Lab., Versailles Univ., France"],"affiliations":[{"raw_affiliation_string":"Prism Laboratory, Versailles University, Versailles, France","institution_ids":[]},{"raw_affiliation_string":"PRiSM Lab., Versailles Univ., France","institution_ids":["https://openalex.org/I4210125654"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109464011","display_name":"Nihal Pekergin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. Pekergin","raw_affiliation_strings":["Prism Laboratory, Versailles University, Versailles, France","PRiSM Lab., Versailles Univ., France"],"affiliations":[{"raw_affiliation_string":"Prism Laboratory, Versailles University, Versailles, France","institution_ids":[]},{"raw_affiliation_string":"PRiSM Lab., Versailles Univ., France","institution_ids":["https://openalex.org/I4210125654"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042612098","display_name":"Franck Quessette","orcid":"https://orcid.org/0000-0003-4061-4624"},"institutions":[{"id":"https://openalex.org/I4210125654","display_name":"Maison de la Simulation","ror":"https://ror.org/03jv6w209","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I195731000","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210113668","https://openalex.org/I4210125654","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Quessette","raw_affiliation_strings":["Prism Laboratory, Versailles University, Versailles, France","PRiSM Lab., Versailles Univ., France"],"affiliations":[{"raw_affiliation_string":"Prism Laboratory, Versailles University, Versailles, France","institution_ids":[]},{"raw_affiliation_string":"PRiSM Lab., Versailles Univ., France","institution_ids":["https://openalex.org/I4210125654"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109410627"],"corresponding_institution_ids":["https://openalex.org/I4210125654"],"apc_list":null,"apc_paid":null,"fwci":2.6974,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.90185059,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"219","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9930999875068665,"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":0.9930999875068665,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9861999750137329,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9848999977111816,"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/markov-chain","display_name":"Markov chain","score":0.8376988172531128},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6835997700691223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5685040354728699},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5335802435874939},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5138464570045471},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48408710956573486},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4839963912963867},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42783790826797485},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3879706561565399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3697999119758606},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30684828758239746},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07339385151863098},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.060035377740859985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0560779869556427}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8376988172531128},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6835997700691223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5685040354728699},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5335802435874939},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5138464570045471},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48408710956573486},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4839963912963867},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42783790826797485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3879706561565399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3697999119758606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30684828758239746},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07339385151863098},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.060035377740859985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0560779869556427},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mascot.2003.1240661","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mascot.2003.1240661","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"11th IEEE/ACM International Symposium on Modeling, Analysis and Simulation of Computer Telecommunications Systems, 2003. MASCOTS 2003.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1487076595","https://openalex.org/W1514324734","https://openalex.org/W1534876514","https://openalex.org/W1575636118","https://openalex.org/W1994860014","https://openalex.org/W2016392619","https://openalex.org/W2034068158","https://openalex.org/W2037723100","https://openalex.org/W2133765643","https://openalex.org/W2147664171","https://openalex.org/W2151876623","https://openalex.org/W2152877517","https://openalex.org/W2161584651","https://openalex.org/W2270100665","https://openalex.org/W4243290645","https://openalex.org/W4251973790","https://openalex.org/W4300528916","https://openalex.org/W6629305199","https://openalex.org/W6630959469","https://openalex.org/W6632035625","https://openalex.org/W6654699945","https://openalex.org/W7046135743"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340","https://openalex.org/W2012431763","https://openalex.org/W2539087073"],"abstract_inverted_index":{"We":[0],"present":[1],"X-Bounds,":[2],"a":[3,8],"new":[4],"tool":[5],"to":[6,54],"implement":[7],"methodology":[9],"based":[10],"on":[11,40,58],"stochastic":[12],"ordering,":[13],"algorithmic":[14],"derivation":[15],"of":[16,23],"simpler":[17,42],"Markov":[18,45],"chains":[19,46,62],"and":[20,67],"numerical":[21,59],"analysis":[22],"these":[24],"chains.":[25],"The":[26],"performance":[27],"indices":[28],"defined":[29],"by":[30,36],"reward":[31,37],"functions":[32,38],"are":[33,63],"stochastically":[34],"bounded":[35],"computed":[39],"much":[41],"or":[43,50],"smaller":[44,66],"obtained":[47],"after":[48],"aggregation":[49],"simplification.":[51],"This":[52],"leads":[53],"an":[55],"important":[56],"reduction":[57],"complexity.":[60],"Typically,":[61],"ten":[64],"times":[65],"the":[68],"accuracy":[69],"may":[70],"be":[71],"good":[72],"enough.":[73]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}