{"id":"https://openalex.org/W2084520954","doi":"https://doi.org/10.1137/s1052623400382455","title":"An Interior-Point Approach to Sensitivity Analysis in Degenerate Linear Programs","display_name":"An Interior-Point Approach to Sensitivity Analysis in Degenerate Linear Programs","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2084520954","doi":"https://doi.org/10.1137/s1052623400382455","mag":"2084520954"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623400382455","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623400382455","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5057209882","display_name":"E. Alper Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0003-4141-3189"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]},{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Alper Yildirim","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, New York 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, New York 11794, USA","institution_ids":["https://openalex.org/I59553526","https://openalex.org/I1327163397"]}]},{"author_position":"last","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":true,"raw_author_name":"Michael J. Todd","raw_affiliation_strings":["School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York 14853, USA"],"affiliations":[{"raw_affiliation_string":"School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York 14853, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102817920"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":1.5656,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8213731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"12","issue":"3","first_page":"692","last_page":"714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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":1.0,"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":0.9988999962806702,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.7738856077194214},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6616857051849365},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6060260534286499},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5362367630004883},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.4998626708984375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47325995564460754},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.44829607009887695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4209222197532654},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21786746382713318}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7738856077194214},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6616857051849365},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6060260534286499},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5362367630004883},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4998626708984375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47325995564460754},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.44829607009887695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4209222197532654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21786746382713318},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s1052623400382455","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623400382455","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1012.7630","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1012.7630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ecommons.cornell.edu/bitstream/handle/1813/9149/TR001268.pdf%3Bjsessionid%3D8394D9027847EE0C791921814BEB7767?sequence%3D1","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.32.5762","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.5762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.orie.cornell.edu/~yildirim/degenerate.ps","raw_type":"text"},{"id":"pmh:oai:ecommons.cornell.edu:1813/9149","is_oa":false,"landing_page_url":"https://hdl.handle.net/1813/9149","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":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2163952570","display_name":"Computational and Mathematical Investigations in            Optimization","funder_award_id":"9805602","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1493426390","https://openalex.org/W1518039036","https://openalex.org/W1966502512","https://openalex.org/W1981745143","https://openalex.org/W2014318473","https://openalex.org/W2048137492","https://openalex.org/W2062716676","https://openalex.org/W2067146674","https://openalex.org/W2113863059","https://openalex.org/W2140526053","https://openalex.org/W2334285086","https://openalex.org/W2798909945","https://openalex.org/W4247984504"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W1970997620","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W2074889170"],"abstract_inverted_index":{"We":[0,15,55],"consider":[1],"an":[2],"interior-point":[3,21],"approach":[4],"to":[5],"sensitivity":[6],"analysis":[7],"in":[8,51],"linear":[9,63],"programming":[10],"developed":[11],"by":[12],"the":[13,17,20,26,40,46,52],"authors.":[14],"investigate":[16],"quality":[18],"of":[19,28,32],"bounds":[22,38,49],"under":[23],"degeneracy.":[24],"In":[25],"case":[27],"a":[29,57],"special":[30],"type":[31],"degeneracy,":[33],"we":[34],"show":[35],"that":[36],"these":[37],"have":[39],"same":[41],"nice":[42],"asymptotic":[43],"relationship":[44,59],"with":[45],"optimal":[47],"partition":[48],"as":[50],"nondegenerate":[53],"case.":[54],"prove":[56],"weaker":[58],"for":[60],"general":[61],"degenerate":[62],"programs.":[64]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
