{"id":"https://openalex.org/W2131569046","doi":"https://doi.org/10.1142/s0217595915500347","title":"Improved Algorithms for Online Scheduling of Malleable Parallel Jobs on Two Identical Machines","display_name":"Improved Algorithms for Online Scheduling of Malleable Parallel Jobs on Two Identical Machines","publication_year":2015,"publication_date":"2015-04-13","ids":{"openalex":"https://openalex.org/W2131569046","doi":"https://doi.org/10.1142/s0217595915500347","mag":"2131569046"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595915500347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595915500347","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/A5103926608","display_name":"Hao Zhou","orcid":"https://orcid.org/0000-0001-5969-149X"},"institutions":[{"id":"https://openalex.org/I4210127700","display_name":"Zhejiang Shuren University","ror":"https://ror.org/0331z5r71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127700"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Zhou","raw_affiliation_strings":["Department of Basic Science, Zhejiang Shuren University, Hangzhou 310015, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Science, Zhejiang Shuren University, Hangzhou 310015, P. R. China","institution_ids":["https://openalex.org/I4210127700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102989856","display_name":"Zhou Ping","orcid":"https://orcid.org/0000-0002-9762-2628"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ping Zhou","raw_affiliation_strings":["School of Humanities, Zhejiang Business College, Hangzhou 310053, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Humanities, Zhejiang Business College, Hangzhou 310053, P. R. China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048511720","display_name":"Yiwei Jiang","orcid":"https://orcid.org/0000-0002-9779-0613"},"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":"Yiwei Jiang","raw_affiliation_strings":["Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I1328775524"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103926608"],"corresponding_institution_ids":["https://openalex.org/I4210127700"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09146565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"05","first_page":"1550034","last_page":"1550034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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":0.996399998664856,"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":0.9026583433151245},{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.8886669874191284},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.6680910587310791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6505342721939087},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6232563853263855},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.549665629863739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47419530153274536},{"id":"https://openalex.org/keywords/execution-time","display_name":"Execution time","score":0.44972091913223267},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3237054944038391},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2801666855812073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1953481137752533},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06704488396644592}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.9026583433151245},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.8886669874191284},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.6680910587310791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6505342721939087},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6232563853263855},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.549665629863739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47419530153274536},{"id":"https://openalex.org/C2989134064","wikidata":"https://www.wikidata.org/wiki/Q288510","display_name":"Execution time","level":2,"score":0.44972091913223267},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3237054944038391},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2801666855812073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1953481137752533},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06704488396644592},{"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/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0217595915500347","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595915500347","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:RePEc:wsi:apjorx:v:32:y:2015:i:05:n:s0217595915500347","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595915500347","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:32:y:2015:i:05:p:1550034-1-1550034-13","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0217595915500347","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":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.41999998688697815},{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1524227203","https://openalex.org/W1904084847","https://openalex.org/W1964122413","https://openalex.org/W1979060810","https://openalex.org/W1995217454","https://openalex.org/W1997882982","https://openalex.org/W2001066639","https://openalex.org/W2023550293","https://openalex.org/W2028810820","https://openalex.org/W2040505647","https://openalex.org/W2045215405","https://openalex.org/W2071698746","https://openalex.org/W2090166506","https://openalex.org/W2093901218","https://openalex.org/W2116636977","https://openalex.org/W2119760147","https://openalex.org/W2150498383","https://openalex.org/W2151482654"],"related_works":["https://openalex.org/W2564742953","https://openalex.org/W4213299358","https://openalex.org/W2793095688","https://openalex.org/W1623410360","https://openalex.org/W3115340459","https://openalex.org/W2950803469","https://openalex.org/W2797898895","https://openalex.org/W2131569046","https://openalex.org/W2045215405","https://openalex.org/W2098754607"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"online":[3,59,106,129],"scheduling":[4,63],"of":[5,24,134,143],"malleable":[6],"parallel":[7,90],"jobs":[8],"to":[9,45,139],"minimize":[10],"the":[11,21,41,62,70,98,118,122,140],"maximum":[12],"completion":[13],"time,":[14],"i.e.,":[15],"makespan.":[16,120],"It":[17],"is":[18,34,43,52,117,137],"assumed":[19],"that":[20],"execution":[22,81,92],"time":[23,31,82,93],"a":[25,53],"job":[26,42,71],"J":[27,72],"j":[28,33,36,73,84,95],"with":[29,80,91,108,131],"processing":[30],"p":[32,35,83,94],"/k":[37],"+":[38],"(k-1)c":[39],"if":[40],"assigned":[44],"k":[46],"machines,":[47],"where":[48,115],"c":[49],"&gt;":[50],"0":[51],"constant":[54],"setup":[55],"time.":[56],"We":[57],"consider":[58],"algorithms":[60],"for":[61],"problem":[64],"on":[65,77],"two":[66,87],"identical":[67],"machines.":[68],"Namely,":[69],"can":[74],"be":[75],"processed":[76],"one":[78],"machine":[79],"or":[85],"alternatively":[86],"machines":[88],"in":[89],"/2+c.":[96],"For":[97,121],"asymptotical":[99],"competitive":[100,124,132],"ratio,":[101,125],"we":[102,126],"provide":[103],"an":[104,128],"improved":[105],"algorithm":[107,130],"makespan":[109],"no":[110],"more":[111],"than":[112],"(3/2)C*":[113],"+c/2,":[114],"C*":[116],"optimal":[119],"strict":[123],"propose":[127],"ratio":[133],"1.54,":[135],"which":[136],"close":[138],"lower":[141],"bound":[142],"1.5.":[144]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
