{"id":"https://openalex.org/W7128180029","doi":"https://doi.org/10.3390/axioms15020125","title":"A Hybrid Particle Swarm Optimization Approach for Flexible Job Shop Scheduling Problem with Transportation and Setup Times","display_name":"A Hybrid Particle Swarm Optimization Approach for Flexible Job Shop Scheduling Problem with Transportation and Setup Times","publication_year":2026,"publication_date":"2026-02-07","ids":{"openalex":"https://openalex.org/W7128180029","doi":"https://doi.org/10.3390/axioms15020125"},"language":"en","primary_location":{"id":"doi:10.3390/axioms15020125","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15020125","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms15020125","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125291558","display_name":"Junjun Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjun Chen","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China"],"raw_orcid":"https://orcid.org/0009-0003-8487-146X","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I1328775524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004829174","display_name":"Ting Shu","orcid":"https://orcid.org/0000-0002-5222-7608"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ting Shu","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China"],"raw_orcid":"https://orcid.org/0000-0002-5222-7608","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I1328775524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084922351","display_name":"Xuesong Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuesong Yin","raw_affiliation_strings":["School of Media and Design, Hangzhou Dianzi University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Media and Design, Hangzhou Dianzi University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125284759","display_name":"Jinsong Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinsong Xia","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I1328775524"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004829174"],"corresponding_institution_ids":["https://openalex.org/I1328775524"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11205692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"2","first_page":"125","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9257000088691711,"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"}},"topics":[{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9257000088691711,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.026499999687075615,"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":0.007699999958276749,"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":0.7558000087738037},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6126000285148621},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5684000253677368},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.5278000235557556},{"id":"https://openalex.org/keywords/dynamic-priority-scheduling","display_name":"Dynamic priority scheduling","score":0.4212000072002411},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4072999954223633},{"id":"https://openalex.org/keywords/fair-share-scheduling","display_name":"Fair-share scheduling","score":0.3741999864578247},{"id":"https://openalex.org/keywords/rate-monotonic-scheduling","display_name":"Rate-monotonic scheduling","score":0.3714999854564667}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7558000087738037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.621999979019165},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6126000285148621},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5715000033378601},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5684000253677368},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.5278000235557556},{"id":"https://openalex.org/C107568181","wikidata":"https://www.wikidata.org/wiki/Q5319000","display_name":"Dynamic priority scheduling","level":3,"score":0.4212000072002411},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4072999954223633},{"id":"https://openalex.org/C31689143","wikidata":"https://www.wikidata.org/wiki/Q733809","display_name":"Fair-share scheduling","level":3,"score":0.3741999864578247},{"id":"https://openalex.org/C127456818","wikidata":"https://www.wikidata.org/wiki/Q238879","display_name":"Rate-monotonic scheduling","level":4,"score":0.3714999854564667},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.352400004863739},{"id":"https://openalex.org/C119948110","wikidata":"https://www.wikidata.org/wiki/Q7858726","display_name":"Two-level scheduling","level":4,"score":0.3521000146865845},{"id":"https://openalex.org/C2777243215","wikidata":"https://www.wikidata.org/wiki/Q1493226","display_name":"Job shop","level":5,"score":0.33500000834465027},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.31619998812675476},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3125999867916107},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.26429998874664307}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms15020125","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15020125","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8448b8bcfdd1469f9aa12cfa4ef2b771","is_oa":false,"landing_page_url":"https://doaj.org/article/8448b8bcfdd1469f9aa12cfa4ef2b771","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 15, Iss 2, p 125 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms15020125","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15020125","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.4457147419452667,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Flexible":[0],"Job":[1],"Shop":[2],"Scheduling":[3],"Problems":[4],"with":[5,118],"setup":[6,160],"and":[7,16,28,51,73,105,164],"transportation":[8,166],"times":[9],"(FJSP-TS)":[10],"involve":[11],"assigning":[12],"operations":[13],"to":[14,62,85,100,123,171],"machines":[15],"sequencing":[17],"them":[18],"under":[19],"additional":[20],"time":[21,161,167],"constraints,":[22],"making":[23],"the":[24,42,68,87,102,129,140,154],"problem":[25],"highly":[26],"complex":[27],"common":[29],"in":[30,147],"modern":[31],"manufacturing":[32],"systems.":[33],"Discrete":[34],"Particle":[35],"Swarm":[36],"Optimization":[37],"(DPSO)":[38],"is":[39,80,83,121],"one":[40],"of":[41,70,108],"mainstream":[43],"meta-heuristic":[44,71],"methods":[45],"for":[46],"solving":[47],"such":[48],"scheduling":[49,130,149],"problems,":[50],"this":[52],"paper":[53],"proposes":[54],"a":[55,77,92,111],"hybrid":[56],"optimization":[57,173],"approach":[58],"based":[59],"on":[60,134],"DPSO":[61,82],"enhance":[63,101],"solution":[64,75],"quality.":[65],"To":[66],"reduce":[67],"complexity":[69],"search":[72],"improve":[74],"accuracy,":[76],"decoupled":[78],"framework":[79],"introduced:":[81],"employed":[84],"optimize":[86],"operation":[88],"sequence":[89],"globally,":[90],"while":[91],"Multi-Agent":[93],"System":[94],"(MAS)":[95],"handles":[96],"machine":[97],"sequence.":[98],"Furthermore,":[99],"state":[103],"representation":[104],"decision-making":[106],"capability":[107],"Machine":[109],"Agents,":[110],"Heterogeneous":[112],"Graph":[113],"Neural":[114],"Network":[115],"(HGNN)":[116],"integrated":[117],"Multi-head":[119],"Attention":[120],"utilized":[122],"efficiently":[124],"extract":[125],"comprehensive":[126],"features":[127],"from":[128],"environment.":[131],"Experimental":[132],"results":[133],"30":[135],"benchmark":[136],"instances":[137],"demonstrate":[138],"that":[139],"proposed":[141],"method":[142,152],"achieves":[143],"notable":[144],"performance":[145],"improvements":[146],"key":[148],"metrics.":[150],"Our":[151],"reduces":[153],"average":[155],"makespan":[156],"by":[157,162,168],"5.7%,":[158],"total":[159,165],"8.9%,":[163],"4.8%":[169],"compared":[170],"representative":[172],"approaches.":[174]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-02-08T00:00:00"}