{"id":"https://openalex.org/W7123818066","doi":"https://doi.org/10.1109/tase.2026.3653975","title":"Allocation and Scheduling of Resource Allocation Systems via Variable Timed Petri Nets","display_name":"Allocation and Scheduling of Resource Allocation Systems via Variable Timed Petri Nets","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7123818066","doi":"https://doi.org/10.1109/tase.2026.3653975"},"language":null,"primary_location":{"id":"doi:10.1109/tase.2026.3653975","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2026.3653975","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-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/A5079866553","display_name":"Weijie Shi","orcid":"https://orcid.org/0000-0003-3105-5357"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weijie Shi","raw_affiliation_strings":["Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122947419","display_name":"Jianbin Qiu","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianbin Qiu","raw_affiliation_strings":["Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122970859","display_name":"Shan Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shan Luo","raw_affiliation_strings":["Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101655522","display_name":"Zhou He","orcid":"https://orcid.org/0000-0003-2486-1246"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhou He","raw_affiliation_strings":["School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122950028","display_name":"Carla Seatzu","orcid":null},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carla Seatzu","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079866553"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":38.263,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.98710115,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"23","issue":null,"first_page":"2814","last_page":"2826"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.5527999997138977,"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":0.5527999997138977,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.13449999690055847,"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/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.1151999980211258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.722599983215332},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6643000245094299},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.5809999704360962},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5029000043869019},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.4952000081539154},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.48080000281333923},{"id":"https://openalex.org/keywords/dynamic-priority-scheduling","display_name":"Dynamic priority scheduling","score":0.43810001015663147},{"id":"https://openalex.org/keywords/fair-share-scheduling","display_name":"Fair-share scheduling","score":0.36959999799728394},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3531000018119812}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.722599983215332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6915000081062317},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6732000112533569},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6643000245094299},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.5809999704360962},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5029000043869019},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.4952000081539154},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.483599990606308},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.48080000281333923},{"id":"https://openalex.org/C107568181","wikidata":"https://www.wikidata.org/wiki/Q5319000","display_name":"Dynamic priority scheduling","level":3,"score":0.43810001015663147},{"id":"https://openalex.org/C31689143","wikidata":"https://www.wikidata.org/wiki/Q733809","display_name":"Fair-share scheduling","level":3,"score":0.36959999799728394},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.32179999351501465},{"id":"https://openalex.org/C2780609101","wikidata":"https://www.wikidata.org/wiki/Q17156588","display_name":"Resource management (computing)","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C127456818","wikidata":"https://www.wikidata.org/wiki/Q238879","display_name":"Rate-monotonic scheduling","level":4,"score":0.3034999966621399},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C2984822820","wikidata":"https://www.wikidata.org/wiki/Q1123036","display_name":"Processor scheduling","level":3,"score":0.2793000042438507},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.27250000834465027},{"id":"https://openalex.org/C119948110","wikidata":"https://www.wikidata.org/wiki/Q7858726","display_name":"Two-level scheduling","level":4,"score":0.2689000070095062},{"id":"https://openalex.org/C2780271269","wikidata":"https://www.wikidata.org/wiki/Q19295956","display_name":"Single-machine scheduling","level":4,"score":0.26489999890327454},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.2630999982357025}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2026.3653975","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2026.3653975","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.4138183295726776,"id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G2635156090","display_name":null,"funder_award_id":"JYB2025XDXM109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3205815922","display_name":null,"funder_award_id":"62521005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3799234178","display_name":null,"funder_award_id":"U21B6001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3880368560","display_name":null,"funder_award_id":"U25A204591","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5253453343","display_name":null,"funder_award_id":"2025ZC-KJXX-42","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G678177963","display_name":null,"funder_award_id":"62273121","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6797292012","display_name":null,"funder_award_id":"62373234","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W2031378547","https://openalex.org/W2067072772","https://openalex.org/W2093459171","https://openalex.org/W2112316175","https://openalex.org/W2146603735","https://openalex.org/W2547654895","https://openalex.org/W2626230426","https://openalex.org/W2767138686","https://openalex.org/W2769859236","https://openalex.org/W2900573611","https://openalex.org/W2915640291","https://openalex.org/W2934505999","https://openalex.org/W2969816195","https://openalex.org/W2998514089","https://openalex.org/W3093836483","https://openalex.org/W3094288436","https://openalex.org/W3101711604","https://openalex.org/W3112978833","https://openalex.org/W3133725719","https://openalex.org/W3151737739","https://openalex.org/W4205781657","https://openalex.org/W4224909972","https://openalex.org/W4318464497","https://openalex.org/W4385516935","https://openalex.org/W4385832151","https://openalex.org/W4388052938","https://openalex.org/W4405179123","https://openalex.org/W4411019793"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"to":[3,19,35,45,105],"present":[4],"a":[5,55,80],"unified":[6],"optimization":[7],"for":[8],"resource":[9,14,27,48,73,108,124],"allocation":[10,15,28,109],"and":[11,26,50,67,110,126,139,143],"scheduling":[12,25,111,131],"in":[13,62],"systems.":[16],"In":[17,43],"contrast":[18],"traditional":[20],"two-stage":[21],"methods,":[22],"which":[23,63],"optimize":[24],"independently,":[29],"this":[30],"study":[31],"combines":[32],"the":[33,64,118],"two":[34],"produce":[36],"globally":[37],"optimal":[38,107,123],"solutions":[39],"within":[40],"practical":[41,141],"limitations.":[42],"order":[44],"describe":[46],"various":[47],"categories":[49],"their":[51],"disparate":[52],"quantity":[53,127],"needs,":[54],"variable":[56],"timed":[57],"Petri":[58],"net":[59],"is":[60,77,103],"created,":[61],"arc":[65],"weights":[66],"time":[68],"delays":[69],"are":[70],"determined":[71],"by":[72],"types.":[74],"The":[75],"problem":[76],"formulated":[78],"as":[79],"budget-constrained":[81],"makespan":[82,135],"minimization":[83],"model,":[84],"with":[85,130],"constraints":[86,138],"linearized":[87],"if":[88],"possible.":[89],"To":[90],"handle":[91],"an":[92,96],"inherent":[93],"non-linear":[94],"constraint,":[95],"iterative":[97],"mixed":[98],"integer":[99],"linear":[100],"programming":[101],"approach":[102],"developed":[104],"obtain":[106],"strategies.":[112],"Extensive":[113],"computational":[114],"experiments":[115],"verify":[116],"that":[117],"proposed":[119],"framework":[120],"effectively":[121],"determines":[122],"type":[125],"configurations":[128],"along":[129],"strategies,":[132],"jointly":[133],"minimizing":[134],"under":[136],"budget":[137],"demonstrating":[140],"efficiency":[142],"applicability.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-01-14T00:00:00"}
