{"id":"https://openalex.org/W1982967176","doi":"https://doi.org/10.1007/bf01840455","title":"An extension of Karmarkar's algorithm for linear programming using dual variables","display_name":"An extension of Karmarkar's algorithm for linear programming using dual variables","publication_year":1986,"publication_date":"1986-11-01","ids":{"openalex":"https://openalex.org/W1982967176","doi":"https://doi.org/10.1007/bf01840455","mag":"1982967176"},"language":"en","primary_location":{"id":"doi:10.1007/bf01840455","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01840455","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5102817920","display_name":"Michael J. Todd","orcid":"https://orcid.org/0000-0001-9458-3443"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael J. Todd","raw_affiliation_strings":["School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 14850, Ithaca, New York, USA","School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 14850, Ithaca, New York, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070807275","display_name":"Bruce P. Burrell","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce P. Burrell","raw_affiliation_strings":["School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 14850, Ithaca, New York, USA","School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 14850, Ithaca, New York, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":27.6136,"has_fulltext":false,"cited_by_count":153,"citation_normalized_percentile":{"value":0.99813317,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1","issue":"1-4","first_page":"409","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.8156883716583252},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.7319177389144897},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7293801307678223},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6610862016677856},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6531342267990112},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6046223640441895},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5676309466362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5423156023025513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5245616436004639},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4489235579967499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4028818607330322}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.8156883716583252},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7319177389144897},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7293801307678223},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6610862016677856},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6531342267990112},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6046223640441895},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5676309466362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5423156023025513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5245616436004639},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4489235579967499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4028818607330322},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01840455","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01840455","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W61120940","https://openalex.org/W1987953347","https://openalex.org/W1999401656","https://openalex.org/W2020516503","https://openalex.org/W2031629837","https://openalex.org/W2043662633","https://openalex.org/W2156577211","https://openalex.org/W2611147814","https://openalex.org/W2798909945","https://openalex.org/W4242898952","https://openalex.org/W4252052822"],"related_works":["https://openalex.org/W2071063111","https://openalex.org/W211549749","https://openalex.org/W138441773","https://openalex.org/W1936682102","https://openalex.org/W2069972878","https://openalex.org/W4385791789","https://openalex.org/W1985564371","https://openalex.org/W2324999667","https://openalex.org/W2352647101","https://openalex.org/W1982967176"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}