{"id":"https://openalex.org/W2108894884","doi":"https://doi.org/10.1287/ijoc.1.4.287","title":"Implementation of a Dual Affine Interior Point Algorithm for Linear Programming","display_name":"Implementation of a Dual Affine Interior Point Algorithm for Linear Programming","publication_year":1989,"publication_date":"1989-11-01","ids":{"openalex":"https://openalex.org/W2108894884","doi":"https://doi.org/10.1287/ijoc.1.4.287","mag":"2108894884"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.1.4.287","pdf_url":null,"source":{"id":"https://openalex.org/S4210237176","display_name":"INFORMS Journal on Computing","issn_l":"0899-1499","issn":["0899-1499","2326-3245"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5108511205","display_name":"Roy E. Marsten","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roy E. Marsten","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066253278","display_name":"Matthew J. Saltzman","orcid":"https://orcid.org/0000-0003-1400-6529"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew J. Saltzman","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29631"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29631","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007272964","display_name":"David F. Shanno","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David F. Shanno","raw_affiliation_strings":["RUTCOR, Rutgers University, New Brunswick, New Jersey 08903"],"affiliations":[{"raw_affiliation_string":"RUTCOR, Rutgers University, New Brunswick, New Jersey 08903","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032123052","display_name":"George S. Pierce","orcid":null},"institutions":[{"id":"https://openalex.org/I7923278","display_name":"Shell (Netherlands)","ror":"https://ror.org/00b5m4j81","country_code":"NL","type":"company","lineage":["https://openalex.org/I7923278"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"George S. Pierce","raw_affiliation_strings":["Shell International Petroleum, The Hague, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Shell International Petroleum, The Hague, The Netherlands","institution_ids":["https://openalex.org/I7923278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042239330","display_name":"J. F. Ballintijn","orcid":null},"institutions":[{"id":"https://openalex.org/I7923278","display_name":"Shell (Netherlands)","ror":"https://ror.org/00b5m4j81","country_code":"NL","type":"company","lineage":["https://openalex.org/I7923278"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. F. Ballintijn","raw_affiliation_strings":["Shell Research (KSLA), Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Shell Research (KSLA), Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I7923278"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.793,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.89186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"1","issue":"4","first_page":"287","last_page":"297"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995,"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":0.9995,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9824,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.972,"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/interior-point-method","display_name":"Interior point method","score":0.6647352},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5327615},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.49106312}],"concepts":[{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6902321},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6647352},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6549652},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5947069},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5827436},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.56456554},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5327615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5229697},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49857402},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4913186},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.49106312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4868745},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47736526},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45010468},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4368531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39745575},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17408866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.083942354},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.1.4.287","pdf_url":null,"source":{"id":"https://openalex.org/S4210237176","display_name":"INFORMS Journal on Computing","issn_l":"0899-1499","issn":["0899-1499","2326-3245"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4385791789","https://openalex.org/W2379462157","https://openalex.org/W2370077489","https://openalex.org/W2363483228","https://openalex.org/W2348238087","https://openalex.org/W2134385004","https://openalex.org/W2033794497","https://openalex.org/W1986370213","https://openalex.org/W1969179485","https://openalex.org/W1965005420"],"abstract_inverted_index":{"The":[0,58],"dual":[1],"affine":[2],"interior":[3],"point":[4],"method":[5,52,60],"is":[6,56,61,87],"extended":[7],"to":[8,25,28,53,63,104],"handle":[9],"variables":[10,22,38],"with":[11,36],"simple":[12],"upper":[13],"bounds":[14],"as":[15,17,97],"well":[16],"free":[18],"variables.":[19],"During":[20],"execution,":[21],"which":[23],"appear":[24],"be":[26],"going":[27],"zero":[29,42],"are":[30,43,78],"fixed":[31],"at":[32],"zero,":[33],"and":[34,73],"rows":[35],"slack":[37],"bounded":[39],"away":[40],"from":[41,102],"removed.":[44],"A":[45],"variant":[46],"of":[47,70,76,85],"the":[48,71,74],"big-M":[49],"artificial":[50],"variable":[51],"attain":[54],"feasibility":[55],"derived.":[57],"simplex":[59],"used":[62],"recover":[64],"an":[65],"optimal":[66],"basis":[67],"upon":[68],"completion":[69],"algorithm,":[72],"effects":[75],"scaling":[77],"discussed.":[79],"Computational":[80],"experience":[81],"on":[82,91,100],"a":[83],"variety":[84],"problems":[86],"presented.":[88],"INFORMS":[89],"Journal":[90,99],"Computing,":[92],"ISSN":[93,107],"1091-9856,":[94],"was":[95],"published":[96],"ORSA":[98],"Computing":[101],"1989":[103],"1995":[105],"under":[106],"0899-1499.":[108]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2108894884","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2024-12-12T10:10:14.285987","created_date":"2016-06-24"}