{"id":"https://openalex.org/W3138819880","doi":"https://doi.org/10.1088/1742-6596/1836/1/012028","title":"Two-phase method in affine scaling algorithm for linear programming optimization","display_name":"Two-phase method in affine scaling algorithm for linear programming optimization","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3138819880","doi":"https://doi.org/10.1088/1742-6596/1836/1/012028","mag":"3138819880"},"language":"en","primary_location":{"id":"doi:10.1088/1742-6596/1836/1/012028","doi":"https://doi.org/10.1088/1742-6596/1836/1/012028","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1836/1/012028","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1836/1/012028/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1836/1/012028/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044104585","display_name":"H S Rochani","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3133421993","display_name":"State University of Jakarta","ror":"https://ror.org/01hgg7b81","country_code":"ID","type":"education","lineage":["https://openalex.org/I3133421993"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"H S Rochani","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia","institution_ids":["https://openalex.org/I3133421993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013909438","display_name":"Eti Dwi Wiraningsih","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3133421993","display_name":"State University of Jakarta","ror":"https://ror.org/01hgg7b81","country_code":"ID","type":"education","lineage":["https://openalex.org/I3133421993"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"E D Wiraningsih","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia","institution_ids":["https://openalex.org/I3133421993"]}]},{"author_position":"last","author":{"id":null,"display_name":"I Hadi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3133421993","display_name":"State University of Jakarta","ror":"https://ror.org/01hgg7b81","country_code":"ID","type":"education","lineage":["https://openalex.org/I3133421993"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"I Hadi","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, Indonesia","institution_ids":["https://openalex.org/I3133421993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044104585"],"corresponding_institution_ids":["https://openalex.org/I3133421993"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"1836","issue":"1","first_page":"012028","last_page":"012028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8661999702453613,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8661999702453613,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.12290000170469284,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.006200000178068876,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/affine-scaling-algorithm","display_name":"affine scaling algorithm","score":0.9020000100135803},{"id":"https://openalex.org/keywords/two-stage-approach","display_name":"two-stage approach","score":0.8579999804496765},{"id":"https://openalex.org/keywords/linear-programming","display_name":"linear programming","score":0.9739999771118164},{"id":"https://openalex.org/keywords/feasible-directions","display_name":"feasible directions","score":0.4749999940395355},{"id":"https://openalex.org/keywords/step-length","display_name":"step length","score":0.902999997138977},{"id":"https://openalex.org/keywords/initial-feasible-solution","display_name":"initial feasible solution","score":0.9010000228881836},{"id":"https://openalex.org/keywords/iteration-reduction","display_name":"iteration reduction","score":0.6330000162124634}],"concepts":[{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7683638334274292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6398389339447021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.62486732006073},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.5961204767227173},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.515089213848114},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5125696659088135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5036489367485046},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4246967136859894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889695405960083},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1742-6596/1836/1/012028","doi":"https://doi.org/10.1088/1742-6596/1836/1/012028","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1836/1/012028","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1836/1/012028/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1742-6596/1836/1/012028","doi":"https://doi.org/10.1088/1742-6596/1836/1/012028","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1836/1/012028","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1836/1/012028/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329479","display_name":"Universitas Negeri Jakarta","ror":"https://ror.org/01hgg7b81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3138819880.pdf","grobid_xml":"https://content.openalex.org/works/W3138819880.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1509110311","https://openalex.org/W1606631632","https://openalex.org/W1968902264","https://openalex.org/W3083743358","https://openalex.org/W3149762920","https://openalex.org/W6636458523"],"related_works":["https://openalex.org/W2982619991","https://openalex.org/W1996267767","https://openalex.org/W1976990008","https://openalex.org/W4250000808","https://openalex.org/W1985408040","https://openalex.org/W2138449322","https://openalex.org/W2032418981","https://openalex.org/W7165526400","https://openalex.org/W1973254679","https://openalex.org/W6979753771"],"abstract_inverted_index":{"Abstract":[0],"In":[1,20],"this":[2,21],"paper,":[3],"the":[4,8,23,30,34,37,54],"proposed":[5],"algorithm":[6,35,56],"approaches":[7],"optimum":[9],"solution":[10,25,46],"with":[11],"a":[12,48],"good":[13],"feasible":[14],"direction":[15],"and":[16,53],"proper":[17],"step":[18],"length.":[19],"method,":[22],"initial":[24],"is":[26],"made":[27],"to":[28,42],"satisfy":[29],"feasibility":[31],"properties.":[32],"Therefore,":[33],"reduces":[36],"number":[38],"of":[39,47,64],"iterations":[40],"required":[41],"obtain":[43],"an":[44],"optimal":[45],"given":[49],"Linear":[50],"Programming":[51],"problem":[52],"iterative":[55],"itself":[57],"can":[58],"be":[59],"very":[60],"useful":[61],"for":[62,67],"development":[63],"faster":[65],"technique":[66],"solving":[68],"linear":[69],"programming":[70],"problems.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-03-29T00:00:00"}