{"id":"https://openalex.org/W2039615785","doi":"https://doi.org/10.1109/icnsc.2012.6204938","title":"An FPTAS for batch scheduling with deterioration effect","display_name":"An FPTAS for batch scheduling with deterioration effect","publication_year":2012,"publication_date":"2012-04-01","ids":{"openalex":"https://openalex.org/W2039615785","doi":"https://doi.org/10.1109/icnsc.2012.6204938","mag":"2039615785"},"language":"en","primary_location":{"id":"doi:10.1109/icnsc.2012.6204938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnsc.2012.6204938","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2012 9th IEEE International Conference on Networking, Sensing and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100347835","display_name":"Ming Liu","orcid":"https://orcid.org/0000-0003-3190-5008"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Liu","raw_affiliation_strings":["School of Economics and Management, University of Tongji, Shanghai, China","School of Economics and Management; Tongji University; Shanghai 200092 P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, University of Tongji, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"School of Economics and Management; Tongji University; Shanghai 200092 P. R. China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034007743","display_name":"Feifeng Zheng","orcid":"https://orcid.org/0000-0002-1603-4163"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feifeng Zheng","raw_affiliation_strings":["School of Management, Xi'an Jiaotong University, Xi'an, Shaanxi, China","School of Management, Xi'an Jiaotong University, Xi'an, Shaanxi Province, 710049, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, Xi'an Jiaotong University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Management, Xi'an Jiaotong University, Xi'an, Shaanxi Province, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100741513","display_name":"Chengbin Chu","orcid":"https://orcid.org/0000-0002-1837-4380"},"institutions":[{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786"]},{"id":"https://openalex.org/I4210134356","display_name":"Laboratoire G\u00e9nie Industriel","ror":"https://ror.org/0455wwj08","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210134356"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Chengbin Chu","raw_affiliation_strings":["Laboratoire G\u00e9nie Industriel, Ecole Centrale Paris, Chatenay-Malabry, France","Laboratoire G\u00e9nie Industriel, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Ch\u00e2tenay-Malabry Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire G\u00e9nie Industriel, Ecole Centrale Paris, Chatenay-Malabry, France","institution_ids":["https://openalex.org/I216852786","https://openalex.org/I4210134356"]},{"raw_affiliation_string":"Laboratoire G\u00e9nie Industriel, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Ch\u00e2tenay-Malabry Cedex, France","institution_ids":["https://openalex.org/I216852786","https://openalex.org/I4210134356"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"134","issue":null,"first_page":"322","last_page":"327"},"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":0.9958000183105469,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9836000204086304,"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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.8378692865371704},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.6983059644699097},{"id":"https://openalex.org/keywords/job-scheduler","display_name":"Job scheduler","score":0.6578215956687927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6134982109069824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6021168828010559},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5758036971092224},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.5573413968086243},{"id":"https://openalex.org/keywords/execution-time","display_name":"Execution time","score":0.4959295690059662},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.46306174993515015},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4350331425666809},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.4224892854690552},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3457375168800354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2731338143348694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25875160098075867},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.13129019737243652}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.8378692865371704},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.6983059644699097},{"id":"https://openalex.org/C111873713","wikidata":"https://www.wikidata.org/wiki/Q1641413","display_name":"Job scheduler","level":3,"score":0.6578215956687927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6134982109069824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6021168828010559},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5758036971092224},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.5573413968086243},{"id":"https://openalex.org/C2989134064","wikidata":"https://www.wikidata.org/wiki/Q288510","display_name":"Execution time","level":2,"score":0.4959295690059662},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.46306174993515015},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4350331425666809},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4224892854690552},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3457375168800354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2731338143348694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25875160098075867},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.13129019737243652},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.0},{"id":"https://openalex.org/C79974875","wikidata":"https://www.wikidata.org/wiki/Q483639","display_name":"Cloud computing","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnsc.2012.6204938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnsc.2012.6204938","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2012 9th IEEE International Conference on Networking, Sensing and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1571546132","https://openalex.org/W1967121062","https://openalex.org/W1968585032","https://openalex.org/W1994047608","https://openalex.org/W1998853417","https://openalex.org/W2014072442","https://openalex.org/W2025694645","https://openalex.org/W2041944550","https://openalex.org/W2056680778","https://openalex.org/W2069933822","https://openalex.org/W2085327584","https://openalex.org/W2089927536","https://openalex.org/W2122967269","https://openalex.org/W2137958320","https://openalex.org/W4242568571"],"related_works":["https://openalex.org/W1815446007","https://openalex.org/W2783992526","https://openalex.org/W2098281589","https://openalex.org/W2962917430","https://openalex.org/W2970302286","https://openalex.org/W1481223916","https://openalex.org/W2732982824","https://openalex.org/W3123730328","https://openalex.org/W1694364829","https://openalex.org/W1903284337"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"scheduling":[3],"linear":[4,36],"deteriorating":[5],"jobs":[6,12],"on":[7,39],"a":[8,35,64],"single":[9],"machine.":[10],"The":[11],"are":[13],"processed":[14],"in":[15,76],"batches":[16],"and":[17,57],"the":[18,23,44,47,50,54,58,72,77],"objective":[19],"is":[20,34,74],"to":[21,52,70],"minimize":[22],"makespan.":[24],"Linear":[25],"deterioration":[26],"effect":[27],"means":[28],"that":[29],"job's":[30,59],"actual":[31],"processing":[32],"time":[33,45],"increasing":[37],"function":[38],"its":[40],"waiting":[41],"time,":[42],"i.e.,":[43],"between":[46],"execution":[48],"of":[49],"batch":[51],"which":[53],"job":[55],"belongs":[56],"starting":[60],"time.":[61],"We":[62],"propose":[63],"fully":[65],"polynomial-time":[66],"approximation":[67],"scheme":[68],"(FPTAS)":[69],"show":[71],"problem":[73],"NP-hard":[75],"ordinary":[78],"sense.":[79]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}