{"id":"https://openalex.org/W2124212114","doi":"https://doi.org/10.1109/icsmc.2009.5345896","title":"A decomposition method for optimal firing sequence problems for first-order hybrid Petri nets","display_name":"A decomposition method for optimal firing sequence problems for first-order hybrid Petri nets","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2124212114","doi":"https://doi.org/10.1109/icsmc.2009.5345896","mag":"2124212114"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2009.5345896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5345896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","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/A5033193171","display_name":"Tatsushi Nishi","orcid":"https://orcid.org/0000-0003-1354-3939"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tatsushi Nishi","raw_affiliation_strings":["Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN"],"affiliations":[{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020055550","display_name":"Kenichi Shimatani","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenichi Shimatani","raw_affiliation_strings":["Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN"],"affiliations":[{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075050549","display_name":"Masahiro Inuiguchi","orcid":"https://orcid.org/0000-0001-9970-1621"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Inuiguchi","raw_affiliation_strings":["Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN"],"affiliations":[{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University, 1- 3 Machikaneyama-cho, Toyonaka city, 560-8531, JAPAN","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033193171"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.3428,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62906925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"2854","last_page":"2859"},"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/T11741","display_name":"Flexible and Reconfigurable Manufacturing Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.8859909772872925},{"id":"https://openalex.org/keywords/subnet","display_name":"Subnet","score":0.8454140424728394},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7383661270141602},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.7132566571235657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5416801571846008},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5265505909919739},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5152804851531982},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5109159350395203},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5047832727432251},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.47212108969688416},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.43232154846191406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4321626126766205},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4136529564857483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33618056774139404},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15037178993225098}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8859909772872925},{"id":"https://openalex.org/C21099817","wikidata":"https://www.wikidata.org/wiki/Q7631721","display_name":"Subnet","level":2,"score":0.8454140424728394},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7383661270141602},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7132566571235657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5416801571846008},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5265505909919739},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5152804851531982},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5109159350395203},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5047832727432251},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.47212108969688416},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.43232154846191406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4321626126766205},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4136529564857483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33618056774139404},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15037178993225098},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2009.5345896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2009.5345896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Systems, Man and Cybernetics","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":18,"referenced_works":["https://openalex.org/W1595871524","https://openalex.org/W1977985274","https://openalex.org/W1983788549","https://openalex.org/W2000374271","https://openalex.org/W2005570037","https://openalex.org/W2047875426","https://openalex.org/W2088842371","https://openalex.org/W2103711995","https://openalex.org/W2112002478","https://openalex.org/W2127661750","https://openalex.org/W2134574912","https://openalex.org/W2136628675","https://openalex.org/W2145191352","https://openalex.org/W2158051462","https://openalex.org/W2159468741","https://openalex.org/W2164163287","https://openalex.org/W2565013309","https://openalex.org/W4236384091"],"related_works":["https://openalex.org/W1671817583","https://openalex.org/W2295291212","https://openalex.org/W2377891237","https://openalex.org/W2377615010","https://openalex.org/W2155660625","https://openalex.org/W2014292684","https://openalex.org/W2046360368","https://openalex.org/W1543378523","https://openalex.org/W2908824635","https://openalex.org/W4238125051"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4,40],"a":[5,34,41,94],"general":[6],"decomposition":[7],"method":[8,44,90],"for":[9,14,26,45,67],"transition":[10,22,48],"firing":[11,23,49,65],"sequence":[12,24,50,66],"problems":[13],"first":[15],"order":[16],"hybrid":[17,28,53],"Petri":[18,29,54],"nets.":[19],"The":[20,52,73,88],"optimal":[21,47,64],"problem":[25],"first-order":[27],"nets":[30],"is":[31,56,70,91],"formulated":[32],"as":[33],"mixed":[35],"integer":[36],"programming":[37],"problem.":[38],"We":[39],"Lagrangian":[42,85],"relaxation":[43,86],"solving":[46],"problems.":[51],"net":[55],"decomposed":[57],"into":[58],"several":[59],"subnets":[60],"in":[61],"which":[62],"the":[63,100,103],"each":[68],"subnet":[69],"easily":[71],"solved.":[72],"optimality":[74],"of":[75,102],"solution":[76],"can":[77],"be":[78],"evaluated":[79],"by":[80,84],"duality":[81],"gap":[82],"derived":[83],"method.":[87],"proposed":[89,104],"applied":[92],"to":[93],"small-scale":[95],"example.":[96],"Computational":[97],"experiments":[98],"demonstrate":[99],"validity":[101],"formulation.":[105]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}