{"id":"https://openalex.org/W1984719412","doi":"https://doi.org/10.1007/bf01185339","title":"On combined phase 1-phase 2 projective methods for linear programming","display_name":"On combined phase 1-phase 2 projective methods for linear programming","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1984719412","doi":"https://doi.org/10.1007/bf01185339","mag":"1984719412"},"language":"en","primary_location":{"id":"doi:10.1007/bf01185339","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01185339","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, Upson Hall, Cornell University, 14853, Ithaca, NY, USA","School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, 14853, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100374822","display_name":"Yufei Wang","orcid":"https://orcid.org/0000-0002-2317-9010"},"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":"Yufei Wang","raw_affiliation_strings":["School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, 14853, Ithaca, NY, USA","School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, Ithaca, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, Upson Hall, Cornell University, 14853, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, Upson Hall, 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":2.3549,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.88522954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"9","issue":"1","first_page":"64","last_page":"83"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9962000250816345,"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":0.7212967276573181},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6876894235610962},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5928694009780884},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.49727776646614075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48735079169273376},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4847273826599121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4434964060783386},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4227098822593689},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3947577178478241},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09135326743125916},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0890902578830719}],"concepts":[{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7212967276573181},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6876894235610962},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5928694009780884},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.49727776646614075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48735079169273376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4847273826599121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4434964060783386},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4227098822593689},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3947577178478241},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09135326743125916},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0890902578830719},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01185339","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01185339","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"},{"id":"pmh:oai:ecommons.cornell.edu:1813/8760","is_oa":false,"landing_page_url":"https://hdl.handle.net/1813/8760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400757","display_name":"eCommons (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"technical report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W153658745","https://openalex.org/W203930003","https://openalex.org/W1964752420","https://openalex.org/W1970928990","https://openalex.org/W1977916887","https://openalex.org/W1980845317","https://openalex.org/W1981053712","https://openalex.org/W1982967176","https://openalex.org/W1987953347","https://openalex.org/W1992975148","https://openalex.org/W1996591064","https://openalex.org/W2016904922","https://openalex.org/W2030490984","https://openalex.org/W2030674458","https://openalex.org/W2036021825","https://openalex.org/W2042622066","https://openalex.org/W2059014132","https://openalex.org/W2061121366","https://openalex.org/W2072821511","https://openalex.org/W2076658620","https://openalex.org/W2094757704","https://openalex.org/W2115588502","https://openalex.org/W2154951198","https://openalex.org/W2237208676","https://openalex.org/W2611147814","https://openalex.org/W4230009129"],"related_works":["https://openalex.org/W2001489718","https://openalex.org/W2024319036","https://openalex.org/W1549557214","https://openalex.org/W1982071305","https://openalex.org/W2004502427","https://openalex.org/W2059052781","https://openalex.org/W2419173576","https://openalex.org/W2073468254","https://openalex.org/W2461518464","https://openalex.org/W1570646200"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}