{"id":"https://openalex.org/W2919984904","doi":"https://doi.org/10.1007/s10479-019-03186-2","title":"A linear programming primer: from Fourier to Karmarkar","display_name":"A linear programming primer: from Fourier to Karmarkar","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2919984904","doi":"https://doi.org/10.1007/s10479-019-03186-2","mag":"2919984904"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-019-03186-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03186-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations 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/A5026761605","display_name":"Atlanta Chakraborty","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Atlanta Chakraborty","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004313289","display_name":"Vijay Chandru","orcid":"https://orcid.org/0000-0001-6175-9932"},"institutions":[{"id":"https://openalex.org/I4210151956","display_name":"Robert Bosch (India)","ror":"https://ror.org/04my8ty22","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210151956","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vijay Chandru","raw_affiliation_strings":["Robert Bosch Centre for Cyber Physical Systems, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Centre for Cyber Physical Systems, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I4210151956","https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102809718","display_name":"M. R. Rao","orcid":"https://orcid.org/0000-0002-9980-3051"},"institutions":[{"id":"https://openalex.org/I122328836","display_name":"Indian School of Business","ror":"https://ror.org/027t6ka17","country_code":"IN","type":"education","lineage":["https://openalex.org/I122328836"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. R. Rao","raw_affiliation_strings":["Indian School of Business, Hyderabad, India"],"raw_orcid":"https://orcid.org/0000-0002-9980-3051","affiliations":[{"raw_affiliation_string":"Indian School of Business, Hyderabad, India","institution_ids":["https://openalex.org/I122328836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102809718"],"corresponding_institution_ids":["https://openalex.org/I122328836"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5845,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.59952102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"287","issue":"2","first_page":"593","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9975000023841858,"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/linear-programming","display_name":"Linear programming","score":0.7423698902130127},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.716670036315918},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5648869276046753},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.5328032970428467},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4776707589626312},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.47280019521713257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43832775950431824},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4358436167240143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4344603717327118},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3605666756629944},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.290061891078949},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1504351794719696}],"concepts":[{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7423698902130127},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.716670036315918},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5648869276046753},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.5328032970428467},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4776707589626312},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.47280019521713257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43832775950431824},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4358436167240143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4344603717327118},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3605666756629944},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.290061891078949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1504351794719696}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10479-019-03186-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03186-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:eprints.iisc.ac.in:62098","is_oa":false,"landing_page_url":"http://eprints.iisc.ac.in/62098/1/Ann_Ope_Res_2019.pdf","pdf_url":"http://eprints.iisc.ac.in/62098/1/Ann_Ope_Res_2019.pdf","source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:eprints.exchange.isb.edu:691","is_oa":false,"landing_page_url":"https://eprints.exchange.isb.edu/id/eprint/691/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196660","display_name":"Digital Eprints Services at ISB (DESI) (Indian School of Business)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122328836","host_organization_name":"Indian School of Business","host_organization_lineage":["https://openalex.org/I122328836"],"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:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-019-03186-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-019-03186-2","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W118841657","https://openalex.org/W642313811","https://openalex.org/W1488923734","https://openalex.org/W1518039036","https://openalex.org/W1571051474","https://openalex.org/W1580157800","https://openalex.org/W1963547452","https://openalex.org/W1968760922","https://openalex.org/W1971258090","https://openalex.org/W2000472767","https://openalex.org/W2000600476","https://openalex.org/W2002636386","https://openalex.org/W2005347459","https://openalex.org/W2008772536","https://openalex.org/W2012329067","https://openalex.org/W2017180575","https://openalex.org/W2018198126","https://openalex.org/W2019609597","https://openalex.org/W2033040247","https://openalex.org/W2035144082","https://openalex.org/W2037690395","https://openalex.org/W2039394406","https://openalex.org/W2053732480","https://openalex.org/W2056219099","https://openalex.org/W2071057749","https://openalex.org/W2088717993","https://openalex.org/W2100440346","https://openalex.org/W2127470768","https://openalex.org/W2132250012","https://openalex.org/W2143693303","https://openalex.org/W2146325267","https://openalex.org/W2150625034","https://openalex.org/W2322316662","https://openalex.org/W2326954772","https://openalex.org/W2504355181","https://openalex.org/W2611147814","https://openalex.org/W3209648527","https://openalex.org/W4210721069","https://openalex.org/W4213173876","https://openalex.org/W4232993594","https://openalex.org/W4253497532","https://openalex.org/W4285719527","https://openalex.org/W4301808069","https://openalex.org/W4302519795","https://openalex.org/W6996888795"],"related_works":["https://openalex.org/W73031078","https://openalex.org/W2185826091","https://openalex.org/W2048470382","https://openalex.org/W25030584","https://openalex.org/W2477407501","https://openalex.org/W4233917719","https://openalex.org/W2151960844","https://openalex.org/W1709621369","https://openalex.org/W3125179639","https://openalex.org/W2079260672"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}