{"id":"https://openalex.org/W2146371908","doi":"https://doi.org/10.1007/bf01594923","title":"Limiting behavior of the affine scaling continuous trajectories for linear programming problems","display_name":"Limiting behavior of the affine scaling continuous trajectories for linear programming problems","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2146371908","doi":"https://doi.org/10.1007/bf01594923","mag":"2146371908"},"language":"en","primary_location":{"id":"doi:10.1007/bf01594923","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01594923","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/A5113318292","display_name":"Ilan Adler","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ilan Adler","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, 94720, Berkeley, CA, USA","Department of Industrial Engineering &, Operations Research, University of California, Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, 94720, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Industrial Engineering &, Operations Research, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108765688","display_name":"Renato D. C. Monteiro","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Renato D. C. Monteiro","raw_affiliation_strings":["Systems and Industrial Engineering Department, The University of Arizona, 85721, Tucson, AZ, USA","Systems and Industrial Engineering Department, The University of Arizona, Tucson, USA"],"affiliations":[{"raw_affiliation_string":"Systems and Industrial Engineering Department, The University of Arizona, 85721, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Systems and Industrial Engineering Department, The University of Arizona, Tucson, USA","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113318292"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":11.3393,"has_fulltext":false,"cited_by_count":102,"citation_normalized_percentile":{"value":0.99219186,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"50","issue":"1-3","first_page":"29","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9876999855041504,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.7546404600143433},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7406911849975586},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.739917516708374},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6205234527587891},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.5779027342796326},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5507621765136719},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5504145622253418},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5456505417823792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5041390657424927},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4349159300327301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2370850145816803},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10531389713287354},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07601931691169739}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7546404600143433},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7406911849975586},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.739917516708374},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6205234527587891},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.5779027342796326},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5507621765136719},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5504145622253418},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5456505417823792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5041390657424927},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4349159300327301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2370850145816803},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10531389713287354},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07601931691169739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01594923","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01594923","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/F4320332923","display_name":"U.S. Navy","ror":"https://ror.org/03ar0mv07"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1573409602","https://openalex.org/W1963547452","https://openalex.org/W1967960319","https://openalex.org/W1981053712","https://openalex.org/W2014746566","https://openalex.org/W2026021734","https://openalex.org/W2057185554","https://openalex.org/W2086920040","https://openalex.org/W2116800096","https://openalex.org/W2165452678","https://openalex.org/W2326806701","https://openalex.org/W2611147814","https://openalex.org/W2971268466","https://openalex.org/W4301808069"],"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/W2038416447","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2073801174"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
