{"id":"https://openalex.org/W2037499637","doi":"https://doi.org/10.1007/bf01583778","title":"An implementation of the simplex method for linear programming problems with variable upper bounds","display_name":"An implementation of the simplex method for linear programming problems with variable upper bounds","publication_year":1982,"publication_date":"1982-12-01","ids":{"openalex":"https://openalex.org/W2037499637","doi":"https://doi.org/10.1007/bf01583778","mag":"2037499637"},"language":"en","primary_location":{"id":"doi:10.1007/bf01583778","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01583778","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Michael J. Todd","raw_affiliation_strings":["Cornell University, Ithaca, New York, USA","University of Cambridge, Cambridge, England","Cornell University, Ithaca, USA"],"affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, New York, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"University of Cambridge, Cambridge, England","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102817920"],"corresponding_institution_ids":["https://openalex.org/I205783295","https://openalex.org/I241749"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.4976,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.89180835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"23","issue":"1","first_page":"34","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.9934999942779541,"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/simplex-algorithm","display_name":"Simplex algorithm","score":0.7835612893104553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7330683469772339},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6891583204269409},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6607792973518372},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5926516056060791},{"id":"https://openalex.org/keywords/revised-simplex-method","display_name":"Revised simplex method","score":0.5794275999069214},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.5789555311203003},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5778883099555969},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5072914958000183},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4437023401260376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3922479450702667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3369056284427643},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2648293375968933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10350906848907471}],"concepts":[{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.7835612893104553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7330683469772339},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6891583204269409},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6607792973518372},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5926516056060791},{"id":"https://openalex.org/C191157680","wikidata":"https://www.wikidata.org/wiki/Q17085895","display_name":"Revised simplex method","level":4,"score":0.5794275999069214},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5789555311203003},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5778883099555969},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5072914958000183},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4437023401260376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3922479450702667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3369056284427643},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2648293375968933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10350906848907471},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01583778","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01583778","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W173242681","https://openalex.org/W624148131","https://openalex.org/W1921345139","https://openalex.org/W1979154120","https://openalex.org/W1984830165","https://openalex.org/W1984839259","https://openalex.org/W1991792735","https://openalex.org/W1999053816","https://openalex.org/W2001116826","https://openalex.org/W2004709509","https://openalex.org/W2045961034","https://openalex.org/W2071877138","https://openalex.org/W2072574577","https://openalex.org/W2104930957","https://openalex.org/W2132626325","https://openalex.org/W2170651456","https://openalex.org/W2232732348","https://openalex.org/W4238477653","https://openalex.org/W4244238031"],"related_works":["https://openalex.org/W2133667137","https://openalex.org/W2384679317","https://openalex.org/W1570109187","https://openalex.org/W2911215968","https://openalex.org/W2366013513","https://openalex.org/W2477407501","https://openalex.org/W3125083766","https://openalex.org/W3143155029","https://openalex.org/W4244786412","https://openalex.org/W2028887049"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":19}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}