{"id":"https://openalex.org/W2156227779","doi":"https://doi.org/10.1142/s0217595914500389","title":"Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines","display_name":"Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines","publication_year":2014,"publication_date":"2014-07-15","ids":{"openalex":"https://openalex.org/W2156227779","doi":"https://doi.org/10.1142/s0217595914500389","mag":"2156227779"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595914500389","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595914500389","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/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, Tongji University, Shanghai 200092, P. R. China"],"raw_orcid":null,"affiliations":[{"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/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feifeng Zheng","raw_affiliation_strings":["Glorious Sun School of Business and Management, Donghua University, Shanghai 200092, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glorious Sun School of Business and Management, Donghua University, Shanghai 200092, P. R. China","institution_ids":["https://openalex.org/I181326427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110201738","display_name":"Zhanguo Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I119454577","display_name":"Nanjing Agricultural University","ror":"https://ror.org/05td3s095","country_code":"CN","type":"education","lineage":["https://openalex.org/I119454577"]},{"id":"https://openalex.org/I4210107733","display_name":"Informatique, BioInformatique, Syst\u00e8mes Complexes","ror":"https://ror.org/01aqxgr98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107733","https://openalex.org/I88467170"]},{"id":"https://openalex.org/I88467170","display_name":"Universit\u00e9 d'\u00c9vry Val-d'Essonne","ror":"https://ror.org/00e96v939","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954","https://openalex.org/I88467170"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Zhanguo Zhu","raw_affiliation_strings":["Laboratoire d'Informatique, Biologie Int\u00e9grative et Syst\u00e8mes Complexes (IBISC), EA 4526, Universit\u00e9 d'Evry Val d'Essonne 91020, Evry Cedex, France","School of Economics and Management, Nanjing Agricultural University, Nanjing 210095, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, Biologie Int\u00e9grative et Syst\u00e8mes Complexes (IBISC), EA 4526, Universit\u00e9 d'Evry Val d'Essonne 91020, Evry Cedex, France","institution_ids":["https://openalex.org/I4210107733","https://openalex.org/I88467170"]},{"raw_affiliation_string":"School of Economics and Management, Nanjing Agricultural University, Nanjing 210095, P. R. China","institution_ids":["https://openalex.org/I119454577"]}]},{"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, Grande Voie des Vignes, 92295, Ch\u00e2tenay-Malabry Cedex, France"],"raw_orcid":null,"affiliations":[{"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":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6071,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76989124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"05","first_page":"1450038","last_page":"1450038"},"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":0.9987000226974487,"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":0.9937999844551086,"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-scheduler","display_name":"Job scheduler","score":0.7544083595275879},{"id":"https://openalex.org/keywords/batch-processing","display_name":"Batch processing","score":0.7521507740020752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7245473861694336},{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.7151913046836853},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.7130128145217896},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.618480920791626},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.548339307308197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4368456304073334},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40522027015686035},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.32460808753967285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17735028266906738},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.1474807858467102},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08727425336837769},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.07103019952774048}],"concepts":[{"id":"https://openalex.org/C111873713","wikidata":"https://www.wikidata.org/wiki/Q1641413","display_name":"Job scheduler","level":3,"score":0.7544083595275879},{"id":"https://openalex.org/C172658912","wikidata":"https://www.wikidata.org/wiki/Q661613","display_name":"Batch processing","level":2,"score":0.7521507740020752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7245473861694336},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.7151913046836853},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7130128145217896},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.618480920791626},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.548339307308197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4368456304073334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40522027015686035},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.32460808753967285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17735028266906738},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.1474807858467102},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08727425336837769},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.07103019952774048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":4,"locations":[{"id":"doi:10.1142/s0217595914500389","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595914500389","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01096246v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01096246","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Asia-Pacific Journal of Operational Research, 2014, 31 (5), (elec. proc.). &#x27E8;10.1142/S0217595914500389&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:31:y:2014:i:05:n:s0217595914500389","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595914500389","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:RePEc:wsi:apjorx:v:31:y:2014:i:05:p:1450038-1-1450038-10","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0217595914500389","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W238776573","https://openalex.org/W1501066815","https://openalex.org/W1552828154","https://openalex.org/W1995142127","https://openalex.org/W2000680949","https://openalex.org/W2015117320","https://openalex.org/W2030921117","https://openalex.org/W2061287273","https://openalex.org/W2076671014","https://openalex.org/W2083819591","https://openalex.org/W2087683329"],"related_works":["https://openalex.org/W4390203503","https://openalex.org/W2797898895","https://openalex.org/W2131569046","https://openalex.org/W2045215405","https://openalex.org/W1956651153","https://openalex.org/W2139982839","https://openalex.org/W2347561926","https://openalex.org/W1984267569","https://openalex.org/W1966397500","https://openalex.org/W1980077610"],"abstract_inverted_index":{"Batch":[0],"processing":[1,26,30,44,69,104,128],"machine":[2],"scheduling":[3,21],"in":[4,12,38,59,123],"uncertain":[5],"environment":[6],"attracts":[7],"more":[8,10],"and":[9,42,78],"attention":[11],"the":[13,39,43,52,55,60,64,79,84],"last":[14,56],"decade.":[15],"This":[16],"paper":[17],"deals":[18],"with":[19,28,92],"semi-online":[20],"on":[22],"two":[23],"parallel":[24],"batch":[25,48,70],"machines":[27],"non-decreasing":[29,125],"time":[31,37,45],"of":[32,46,54,76,127,145],"job.":[33],"Jobs":[34],"arrive":[35,122],"over":[36],"online":[40,136],"paradigm,":[41],"any":[47,87],"is":[49,81,100,116,142],"equal":[50],"to":[51,82],"length":[53],"arrival":[57],"job":[58,88,95],"batch.":[61],"We":[62,130],"study":[63],"unbounded":[65],"model":[66],"where":[67,112,138],"each":[68],"may":[71],"contain":[72],"an":[73,133],"unlimited":[74],"number":[75],"jobs,":[77],"objective":[80],"minimize":[83],"makespan.":[85],"Given":[86],"J":[89,96],"j":[90,111],"together":[91],"its":[93],"following":[94],"j+1":[97,108],",":[98],"it":[99],"assumed":[101],"that":[102],"their":[103],"times":[105],"satisfy":[106],"p":[107],"\u2265":[109,114,140],"\u03b1p":[110],"\u03b1":[113,156,160],"1":[115,141],"a":[117,124,143],"constant.":[118],"That":[119],"is,":[120],"jobs":[121],"order":[126],"times.":[129],"mainly":[131],"propose":[132],"optimal":[134],"\u03d5-competitive":[135],"algorithm":[137],"\u03d5":[139,147],"solution":[144],"equation":[146],"3":[148],"+":[149,152],"(\u03b1-1)\u03d5":[150],"2":[151,154,161],"(\u03b1":[153],"-":[155,157,159],"1)\u03d5":[158],"=":[162],"0.":[163]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
