{"id":"https://openalex.org/W1705424203","doi":"https://doi.org/10.1587/transinf.2014fop0009","title":"State Number Calculation Problem of Workflow Nets","display_name":"State Number Calculation Problem of Workflow Nets","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1705424203","doi":"https://doi.org/10.1587/transinf.2014fop0009","mag":"1705424203"},"language":"en","primary_location":{"id":"doi:10.1587/transinf.2014fop0009","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014fop0009","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/6/E98.D_2014FOP0009/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/6/E98.D_2014FOP0009/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001561994","display_name":"Mohd Anuaruddin Bin Ahmadon","orcid":"https://orcid.org/0000-0003-0952-7151"},"institutions":[{"id":"https://openalex.org/I173915773","display_name":"Yamaguchi University","ror":"https://ror.org/03cxys317","country_code":"JP","type":"education","lineage":["https://openalex.org/I173915773"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mohd Anuaruddin BIN AHMADON","raw_affiliation_strings":["Graduate School of Science and Engineering, Yamaguchi University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University","institution_ids":["https://openalex.org/I173915773"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041793220","display_name":"Shingo Yamaguchi","orcid":"https://orcid.org/0000-0003-0579-8501"},"institutions":[{"id":"https://openalex.org/I173915773","display_name":"Yamaguchi University","ror":"https://ror.org/03cxys317","country_code":"JP","type":"education","lineage":["https://openalex.org/I173915773"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shingo YAMAGUCHI","raw_affiliation_strings":["Graduate School of Science and Engineering, Yamaguchi University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University","institution_ids":["https://openalex.org/I173915773"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I173915773"],"apc_list":null,"apc_paid":null,"fwci":5.4407,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95008172,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"E98.D","issue":"6","first_page":"1128","last_page":"1136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9998999834060669,"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/T10703","display_name":"Business Process Modeling and Analysis","score":0.9998999834060669,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9998000264167786,"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/T10679","display_name":"Service-Oriented Architecture and Web Services","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9337334632873535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7883799076080322},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.619272768497467},{"id":"https://openalex.org/keywords/workflow","display_name":"Workflow","score":0.5937921404838562},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.584075391292572},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.5485122203826904},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.5356099009513855},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5165311694145203},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43193984031677246},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.4100688397884369},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40849220752716064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17609387636184692},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.06399855017662048}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9337334632873535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7883799076080322},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.619272768497467},{"id":"https://openalex.org/C177212765","wikidata":"https://www.wikidata.org/wiki/Q627335","display_name":"Workflow","level":2,"score":0.5937921404838562},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.584075391292572},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.5485122203826904},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.5356099009513855},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5165311694145203},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43193984031677246},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.4100688397884369},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40849220752716064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17609387636184692},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.06399855017662048},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transinf.2014fop0009","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014fop0009","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/6/E98.D_2014FOP0009/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transinf.2014fop0009","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014fop0009","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/6/E98.D_2014FOP0009/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332697","display_name":"University of Illinois at Chicago","ror":"https://ror.org/02mpq6x41"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1705424203.pdf","grobid_xml":"https://content.openalex.org/works/W1705424203.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1517268203","https://openalex.org/W1551214605","https://openalex.org/W1585036716","https://openalex.org/W1601046831","https://openalex.org/W1821930315","https://openalex.org/W1943502734","https://openalex.org/W1975037253","https://openalex.org/W1976286208","https://openalex.org/W1996109622","https://openalex.org/W2050930613","https://openalex.org/W2062233897","https://openalex.org/W2118382442","https://openalex.org/W2162868766","https://openalex.org/W2171622895","https://openalex.org/W2394903686","https://openalex.org/W2600047689","https://openalex.org/W4233522539"],"related_works":["https://openalex.org/W1506995308","https://openalex.org/W2141183298","https://openalex.org/W2122424346","https://openalex.org/W2586039792","https://openalex.org/W2588650882","https://openalex.org/W2492983430","https://openalex.org/W2171468557","https://openalex.org/W105399774","https://openalex.org/W2032931121","https://openalex.org/W2160063844"],"abstract_inverted_index":{"The":[0],"number":[1,25],"of":[2,23,58,93],"states":[3,39],"is":[4],"a":[5,20,29,55,72,82],"very":[6],"important":[7],"matter":[8],"for":[9,54],"model":[10],"checking":[11],"approach":[12],"in":[13,51],"Petri":[14,30,59],"net's":[15],"analysis.":[16],"We":[17,89],"first":[18],"gave":[19],"formal":[21],"definition":[22],"state":[24,35],"calculation":[26],"problem:":[27],"For":[28],"net":[31],"with":[32],"an":[33,97],"initial":[34],"(marking),":[36],"how":[37],"many":[38],"does":[40],"it":[41],"have?":[42],"Next":[43],"we":[44,70],"showed":[45,91],"the":[46,78,94],"problem":[47,79],"cannot":[48],"be":[49],"solved":[50],"polynomial":[52,73],"time":[53,74],"popular":[56],"subclass":[57],"nets,":[60,66],"known":[61],"as":[62,86],"free":[63],"choice":[64],"workflow":[65],"if":[67],"P\u2260NP.":[68],"Then":[69],"proposed":[71],"algorithm":[75,95],"to":[76],"solve":[77],"by":[80],"utilizing":[81],"representational":[83],"bias":[84],"called":[85],"process":[87],"tree.":[88],"also":[90],"effectiveness":[92],"through":[96],"application":[98],"example.":[99]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}