{"id":"https://openalex.org/W4362509651","doi":"https://doi.org/10.1051/ro/2023045","title":"Approximation algorithms for scheduling single batch machine with incompatible deteriorating jobs","display_name":"Approximation algorithms for scheduling single batch machine with incompatible deteriorating jobs","publication_year":2023,"publication_date":"2023-04-02","ids":{"openalex":"https://openalex.org/W4362509651","doi":"https://doi.org/10.1051/ro/2023045"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2023045","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023045","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220442.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220442.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110113984","display_name":"Bayi Cheng","orcid":"https://orcid.org/0000-0002-1028-652X"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bayi Cheng","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","School of Management , Hefei University of Technology , Hefei 230009 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Management , Hefei University of Technology , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036637968","display_name":"Hai\u2010Mei Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haimei Yuan","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","School of Management , Hefei University of Technology , Hefei 230009 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Management , Hefei University of Technology , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023567630","display_name":"Mi Zhou","orcid":"https://orcid.org/0000-0002-6496-4824"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mi Zhou","raw_affiliation_strings":["Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","School of Management , Hefei University of Technology , Hefei 230009 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Process Optimization and Intelligent Decision-making , Ministry of Education , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Management , Hefei University of Technology , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102059836","display_name":"Tan Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tan Qi","raw_affiliation_strings":["School of Electrical Engineering and Automation , Hefei University of Technology , Hefei 230009 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation , Hefei University of Technology , Hefei 230009 , P.R. China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"EUR","value_usd":0},"apc_paid":{"value":0,"currency":"EUR","value_usd":0},"fwci":0.288,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61838507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"57","issue":"3","first_page":"1267","last_page":"1284"},"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","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/T12176","display_name":"Optimization and Packing Problems","score":0.9970999956130981,"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/ingot","display_name":"Ingot","score":0.7145476937294006},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.6694154739379883},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6250970959663391},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.535487711429596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5032579302787781},{"id":"https://openalex.org/keywords/batch-processing","display_name":"Batch processing","score":0.4391579329967499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41889724135398865},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4114745855331421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33535465598106384},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32696467638015747},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2126767337322235},{"id":"https://openalex.org/keywords/metallurgy","display_name":"Metallurgy","score":0.10262814164161682}],"concepts":[{"id":"https://openalex.org/C2778547858","wikidata":"https://www.wikidata.org/wiki/Q83893","display_name":"Ingot","level":3,"score":0.7145476937294006},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.6694154739379883},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6250970959663391},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.535487711429596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5032579302787781},{"id":"https://openalex.org/C172658912","wikidata":"https://www.wikidata.org/wiki/Q661613","display_name":"Batch processing","level":2,"score":0.4391579329967499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41889724135398865},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4114745855331421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33535465598106384},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32696467638015747},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2126767337322235},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.10262814164161682},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2780026712","wikidata":"https://www.wikidata.org/wiki/Q37756","display_name":"Alloy","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2023045","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023045","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220442.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2023045","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2023045","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro220442.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G3473066655","display_name":null,"funder_award_id":"2019YFE0110300","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3718193390","display_name":"\u9762\u5411\u670d\u52a1\u578b\u5236\u9020\u7684\u590d\u6742\u4ea7\u54c1\u5168\u751f\u547d\u5468\u671f\u8bc4\u4ef7\u65b9\u6cd5\u7814\u7a76","funder_award_id":"72071056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8382610802","display_name":"\u7f51\u7edc\u5316\u534f\u540c\u5236\u9020\u73af\u5883\u4e0b\u7ebf\u4e0a\u8d44\u6e90\u7684\u5728\u7ebf\u805a\u7c7b\u4e0e\u4f18\u5316\u8c03\u5ea6\u65b9\u6cd5\u7814\u7a76","funder_award_id":"71671055","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4362509651.pdf","grobid_xml":"https://content.openalex.org/works/W4362509651.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W179790402","https://openalex.org/W1982296945","https://openalex.org/W1984396063","https://openalex.org/W1985103727","https://openalex.org/W2009304557","https://openalex.org/W2014072442","https://openalex.org/W2059198064","https://openalex.org/W2072307179","https://openalex.org/W2075132642","https://openalex.org/W2081189842","https://openalex.org/W2206351019","https://openalex.org/W2486389971","https://openalex.org/W2618748045","https://openalex.org/W2766625709","https://openalex.org/W2773680760","https://openalex.org/W2783116710","https://openalex.org/W2886143600","https://openalex.org/W2898374553","https://openalex.org/W2920140993","https://openalex.org/W2955586674","https://openalex.org/W2965199888","https://openalex.org/W2967377084","https://openalex.org/W2981080560","https://openalex.org/W3023609759","https://openalex.org/W3086934192","https://openalex.org/W3111973741","https://openalex.org/W3125079765"],"related_works":["https://openalex.org/W3204654320","https://openalex.org/W1956651153","https://openalex.org/W2347561926","https://openalex.org/W2088387432","https://openalex.org/W210339300","https://openalex.org/W2099326033","https://openalex.org/W3086456624","https://openalex.org/W2355603134","https://openalex.org/W1984267569","https://openalex.org/W1995204653"],"abstract_inverted_index":{"Motivated":[0],"by":[1,52],"the":[2,16,48,61,66,71,76,98,115,123,145,154,160],"soaking":[3,33,77],"process":[4],"under":[5],"separate":[6],"heating":[7],"mode":[8],"in":[9,122,159],"iron":[10],"and":[11,75,133,141,150,169],"steel":[12],"enterprises,":[13],"we":[14],"study":[15],"parallel":[17,40],"batch":[18,41],"machine":[19],"scheduling":[20],"problem":[21,116],"with":[22,166],"incompatible":[23,90],"deteriorating":[24],"jobs.":[25,91],"The":[26,178],"objective":[27],"is":[28,58,82,87,117,156,176],"to":[29,46,119],"minimize":[30],"makespan.":[31],"A":[32],"furnace":[34],"can":[35,104],"be":[36,105,120],"seen":[37],"as":[38],"a":[39],"processing":[42,113,152],"machine.":[43],"In":[44],"order":[45],"avoid":[47],"thermal":[49],"stress":[50],"caused":[51],"excessive":[53],"temperature":[54,57,73],"difference,":[55],"initial":[56],"needed":[59,88],"for":[60],"ingot":[62,72],"before":[63],"processing.":[64],"With":[65],"increasing":[67],"of":[68],"waiting":[69],"time,":[70],"decreases":[74],"time":[78,86,179],"increases.":[79],"This":[80],"property":[81],"called":[83],"deterioration.":[84],"Setup":[85],"between":[89],"We":[92,126],"show":[93],"that":[94],"if":[95],"jobs":[96,110,146],"have":[97,111,147],"same":[99],"sizes,":[100],"an":[101,128,167],"optimal":[102],"solution":[103],"found":[106],"withinO(nlogn)":[107],"time.":[108],"If":[109],"identical":[112],"times,":[114,153],"proved":[118],"NP-hard":[121,158],"strong":[124,161],"sense.":[125,162],"propose":[127],"approximate":[129,164],"algorithm":[130,165],"whose":[131],"absolute":[132,168],"asymptotic":[134,170],"worst-case":[135,171],"ratios":[136],"are":[137],"less":[138,173],"than":[139,174],"2":[140,175],"11/9,":[142],"respectively.":[143],"When":[144],"arbitrary":[148,151],"sizes":[149],"model":[155],"also":[157],"An":[163],"ratio":[172],"proposed.":[177],"complexity":[180],"isO(nlogn).":[181]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}