{"id":"https://openalex.org/W3135406686","doi":"https://doi.org/10.1155/2021/6615824","title":"Solution Algorithms for Single\u2010Machine Group Scheduling with Learning Effect and Convex Resource Allocation","display_name":"Solution Algorithms for Single\u2010Machine Group Scheduling with Learning Effect and Convex Resource Allocation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135406686","doi":"https://doi.org/10.1155/2021/6615824","mag":"3135406686"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6615824","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6615824","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6615824.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/6615824.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004006509","display_name":"Wanlei Wang","orcid":"https://orcid.org/0000-0002-9842-7904"},"institutions":[{"id":"https://openalex.org/I61565387","display_name":"Dalian Minzu University","ror":"https://ror.org/02hxfx521","country_code":"CN","type":"education","lineage":["https://openalex.org/I61565387"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wanlei Wang","raw_affiliation_strings":["College of Mechanical and Electronic Engineering, Dalian Minzu University, Dalian 116600, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electronic Engineering, Dalian Minzu University, Dalian 116600, China","institution_ids":["https://openalex.org/I61565387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003174453","display_name":"Jianjun Wang","orcid":"https://orcid.org/0000-0002-9045-7404"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Jun Wang","raw_affiliation_strings":["School of Economics and Management, Dalian University of Technology, Dalian 116024, China","School of Science, Shenyang Aerospace University, Shenyang 110136, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Science, Shenyang Aerospace University, Shenyang 110136, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049852138","display_name":"Ji\u2010Bo Wang","orcid":"https://orcid.org/0000-0003-2271-6459"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Bo Wang","raw_affiliation_strings":["School of Economics and Management, Dalian University of Technology, Dalian 116024, China","School of Science, Shenyang Aerospace University, Shenyang 110136, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Science, Shenyang Aerospace University, Shenyang 110136, China","institution_ids":["https://openalex.org/I125904092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004006509"],"corresponding_institution_ids":["https://openalex.org/I61565387"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.9033,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78281544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":1.0,"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":1.0,"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/T12288","display_name":"Optimization and Search Problems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.991100013256073,"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/tardiness","display_name":"Tardiness","score":0.930618941783905},{"id":"https://openalex.org/keywords/single-machine-scheduling","display_name":"Single-machine scheduling","score":0.6511688232421875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6487006545066833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6374238729476929},{"id":"https://openalex.org/keywords/tabu-search","display_name":"Tabu search","score":0.6332463622093201},{"id":"https://openalex.org/keywords/learning-effect","display_name":"Learning effect","score":0.6223474740982056},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5255276560783386},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4785081446170807},{"id":"https://openalex.org/keywords/due-date","display_name":"Due date","score":0.47022390365600586},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.4530198574066162},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4147539436817169},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.41156184673309326},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.37413597106933594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36090338230133057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20736750960350037},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.12960505485534668}],"concepts":[{"id":"https://openalex.org/C2778047078","wikidata":"https://www.wikidata.org/wiki/Q82299449","display_name":"Tardiness","level":4,"score":0.930618941783905},{"id":"https://openalex.org/C2780271269","wikidata":"https://www.wikidata.org/wiki/Q19295956","display_name":"Single-machine scheduling","level":4,"score":0.6511688232421875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6487006545066833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6374238729476929},{"id":"https://openalex.org/C123370116","wikidata":"https://www.wikidata.org/wiki/Q1424540","display_name":"Tabu search","level":2,"score":0.6332463622093201},{"id":"https://openalex.org/C10431821","wikidata":"https://www.wikidata.org/wiki/Q6510174","display_name":"Learning effect","level":2,"score":0.6223474740982056},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5255276560783386},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4785081446170807},{"id":"https://openalex.org/C3019208289","wikidata":"https://www.wikidata.org/wiki/Q56612115","display_name":"Due date","level":3,"score":0.47022390365600586},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.4530198574066162},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4147539436817169},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.41156184673309326},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.37413597106933594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36090338230133057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20736750960350037},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.12960505485534668},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/6615824","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6615824","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6615824.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6615824","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/6615824.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:374c3c2238124567b2196c7b78730907","is_oa":true,"landing_page_url":"https://doaj.org/article/374c3c2238124567b2196c7b78730907","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6615824","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6615824","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6615824.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G2026634019","display_name":null,"funder_award_id":"71903020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2071443865","display_name":null,"funder_award_id":"201805","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3425568935","display_name":null,"funder_award_id":"2020-MS-233","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"},{"id":"https://openalex.org/G4795869032","display_name":null,"funder_award_id":"20180550","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"},{"id":"https://openalex.org/G5090618337","display_name":null,"funder_award_id":"71672019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5451723356","display_name":null,"funder_award_id":"2020-MS-233","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5848258319","display_name":null,"funder_award_id":"0 and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G680645852","display_name":null,"funder_award_id":"2018055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7836423780","display_name":null,"funder_award_id":"Liaoning","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8648923443","display_name":null,"funder_award_id":"20180550743","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135406686.pdf","grobid_xml":"https://content.openalex.org/works/W3135406686.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1579069434","https://openalex.org/W1746674821","https://openalex.org/W1971129425","https://openalex.org/W1972414677","https://openalex.org/W1975784696","https://openalex.org/W1986806847","https://openalex.org/W1986898315","https://openalex.org/W1996138340","https://openalex.org/W2003843334","https://openalex.org/W2008675394","https://openalex.org/W2022105416","https://openalex.org/W2024638829","https://openalex.org/W2027391855","https://openalex.org/W2031099996","https://openalex.org/W2033161932","https://openalex.org/W2034920690","https://openalex.org/W2055377303","https://openalex.org/W2057731895","https://openalex.org/W2069348829","https://openalex.org/W2075132642","https://openalex.org/W2090069860","https://openalex.org/W2095179120","https://openalex.org/W2146219471","https://openalex.org/W2212214618","https://openalex.org/W2212709080","https://openalex.org/W2466042049","https://openalex.org/W2536856479","https://openalex.org/W2570931290","https://openalex.org/W2738004730","https://openalex.org/W2779360634","https://openalex.org/W2783116710","https://openalex.org/W2799290350","https://openalex.org/W2810989468","https://openalex.org/W2885878376","https://openalex.org/W2888232809","https://openalex.org/W2897747641","https://openalex.org/W2898403761","https://openalex.org/W2924260727","https://openalex.org/W2925174537","https://openalex.org/W2963751877","https://openalex.org/W2976893411","https://openalex.org/W2977510753","https://openalex.org/W2981080560","https://openalex.org/W3031439256","https://openalex.org/W3082099499","https://openalex.org/W3088585407","https://openalex.org/W3094740768","https://openalex.org/W3111640822","https://openalex.org/W3142489756","https://openalex.org/W4246598646"],"related_works":["https://openalex.org/W2153799489","https://openalex.org/W2060337406","https://openalex.org/W4381616416","https://openalex.org/W2057653555","https://openalex.org/W2123614176","https://openalex.org/W2131482998","https://openalex.org/W4251798786","https://openalex.org/W2167746336","https://openalex.org/W1981636247","https://openalex.org/W2051555966"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,10],"a":[4],"single\u2010machine":[5],"resource":[6,37,53],"allocation":[7,38],"scheduling":[8],"problem":[9,67],"learning":[11],"effect":[12],"and":[13,30,35,46,52,85],"group":[14],"technology.":[15],"Under":[16],"slack":[17],"due\u2010date":[18,33],"assignment,":[19,34],"our":[20],"objective":[21],"is":[22,56,63],"to":[23],"determine":[24],"the":[25,41,66,76,81],"optimal":[26,32,36],"sequence":[27],"of":[28,44,79],"jobs":[29],"groups,":[31],"such":[39],"that":[40,65],"weighted":[42],"sum":[43],"earliness":[45],"tardiness":[47],"penalties,":[48],"common":[49],"flow":[50],"allowances,":[51],"consumption":[54],"cost":[55],"minimized.":[57],"For":[58],"three":[59],"special":[60],"cases,":[61],"it":[62],"proved":[64],"can":[68],"be":[69],"solved":[70],"in":[71],"polynomial":[72],"time.":[73],"To":[74],"solve":[75],"general":[77],"case":[78],"problem,":[80],"heuristic,":[82],"tabu":[83],"search,":[84],"branch\u2010and\u2010bound":[86],"algorithms":[87],"are":[88],"proposed.":[89]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}