{"id":"https://openalex.org/W2116768222","doi":"https://doi.org/10.1109/ipdps.2004.1303217","title":"A comparison of structural formalisms for modeling large Markov models","display_name":"A comparison of structural formalisms for modeling large Markov models","publication_year":2004,"publication_date":"2004-06-10","ids":{"openalex":"https://openalex.org/W2116768222","doi":"https://doi.org/10.1109/ipdps.2004.1303217","mag":"2116768222"},"language":"en","primary_location":{"id":"doi:10.1109/ipdps.2004.1303217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ipdps.2004.1303217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"18th International Parallel and Distributed Processing Symposium, 2004. Proceedings.","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/A5010385472","display_name":"Ming-Ying Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.-Y. Chung","raw_affiliation_strings":["University of California, Riverside, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071970957","display_name":"Gianfranco Ciardo","orcid":"https://orcid.org/0000-0002-4906-6145"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Ciardo","raw_affiliation_strings":["University of California, Riverside, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084007973","display_name":"Susanna Donatelli","orcid":"https://orcid.org/0000-0002-0911-8457"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Donatelli","raw_affiliation_strings":["University of Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054631710","display_name":"Ning He","orcid":"https://orcid.org/0000-0003-2231-7482"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. He","raw_affiliation_strings":["University of California, Riverside, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112758057","display_name":"B. Plateau","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113225","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Architecture de Grenoble","ror":"https://ror.org/01yxtfe92","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210113225"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Plateau","raw_affiliation_strings":["ENSIMAG, Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSIMAG, Grenoble, France","institution_ids":["https://openalex.org/I4210113225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012425915","display_name":"William J. Stewart","orcid":"https://orcid.org/0000-0003-4482-9147"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Stewart","raw_affiliation_strings":["North Carolina State University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032635192","display_name":"E. Sulaiman","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113225","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Architecture de Grenoble","ror":"https://ror.org/01yxtfe92","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210113225"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E. Sulaiman","raw_affiliation_strings":["ENSIMAG, Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSIMAG, Grenoble, France","institution_ids":["https://openalex.org/I4210113225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054542502","display_name":"Jinghu Yu","orcid":"https://orcid.org/0000-0002-3763-2509"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Yu","raw_affiliation_strings":["University of California, Riverside, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Riverside, USA","institution_ids":["https://openalex.org/I103635307"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3461,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.63801466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"196","last_page":"203"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9987000226974487,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.9249054193496704},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.7110607028007507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7046990394592285},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.6436924934387207},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5896635055541992},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5798646807670593},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4921688437461853},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4895859658718109},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.4753263294696808},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.4747985899448395},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.44095703959465027},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3434864580631256},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23772314190864563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20386147499084473}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.9249054193496704},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.7110607028007507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7046990394592285},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.6436924934387207},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5896635055541992},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5798646807670593},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4921688437461853},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4895859658718109},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.4753263294696808},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.4747985899448395},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.44095703959465027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3434864580631256},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23772314190864563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20386147499084473},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ipdps.2004.1303217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ipdps.2004.1303217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"18th International Parallel and Distributed Processing Symposium, 2004. Proceedings.","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":21,"referenced_works":["https://openalex.org/W45613378","https://openalex.org/W49450320","https://openalex.org/W1481154621","https://openalex.org/W1521615649","https://openalex.org/W1969620704","https://openalex.org/W1976057993","https://openalex.org/W1997606563","https://openalex.org/W2079636926","https://openalex.org/W2089086379","https://openalex.org/W2107561541","https://openalex.org/W2109828309","https://openalex.org/W2146819800","https://openalex.org/W2161584651","https://openalex.org/W2161617103","https://openalex.org/W2169174934","https://openalex.org/W2652867808","https://openalex.org/W2756362817","https://openalex.org/W2911430074","https://openalex.org/W4243290645","https://openalex.org/W6681797987","https://openalex.org/W6683946495"],"related_works":["https://openalex.org/W2909142942","https://openalex.org/W1543378523","https://openalex.org/W1981703794","https://openalex.org/W1491709828","https://openalex.org/W2037080690","https://openalex.org/W2916743419","https://openalex.org/W2381491984","https://openalex.org/W2257573499","https://openalex.org/W2148229336","https://openalex.org/W1980200158"],"abstract_inverted_index":{"Summary":[0],"form":[1],"only":[2],"given.":[3],"Stochastic":[4],"automata":[5],"networks":[6],"and":[7,39],"generalized":[8],"stochastic":[9],"Petri":[10],"nets":[11],"are":[12],"the":[13],"main":[14],"formalisms":[15],"used":[16],"to":[17],"model":[18],"complex":[19],"Markov":[20],"systems":[21],"in":[22],"a":[23,31],"structured":[24],"\"Kronecker\"":[25],"approach.":[26],"We":[27],"compare":[28],"them":[29],"on":[30],"suite":[32],"of":[33],"examples":[34],"using":[35],"two":[36],"tools,":[37],"PEPS":[38],"SMART.":[40]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
