{"id":"https://openalex.org/W2007081327","doi":"https://doi.org/10.1007/bf01096736","title":"Parametric linear fractional programming for an unbounded feasible region","display_name":"Parametric linear fractional programming for an unbounded feasible region","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2007081327","doi":"https://doi.org/10.1007/bf01096736","mag":"2007081327"},"language":"en","primary_location":{"id":"doi:10.1007/bf01096736","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01096736","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/A5065562167","display_name":"Alberto Cambini","orcid":null},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A. Cambini","raw_affiliation_strings":["Dipartimento di Statistica e Matematica Applicata all'Economia, Universita' di Pisa, Italy","Dipartimento di Statistica e Matematica Applicata all\u2019Economia, Universit\u00e0 di Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Statistica e Matematica Applicata all'Economia, Universita' di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Statistica e Matematica Applicata all\u2019Economia, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057911947","display_name":"Siegfried Schaible","orcid":null},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Schaible","raw_affiliation_strings":["Graduate School of Management, University of California, 92521, Riverside, CA, USA","[Graduate School of Management, University of California, Riverside, USA]"],"affiliations":[{"raw_affiliation_string":"Graduate School of Management, University of California, 92521, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"[Graduate School of Management, University of California, Riverside, USA]","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050555642","display_name":"Claudio Sodini","orcid":null},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. Sodini","raw_affiliation_strings":["Istituto di Matematica \u201cE. Levi\u201d, Universita' di Parma, Italy"],"affiliations":[{"raw_affiliation_string":"Istituto di Matematica \u201cE. Levi\u201d, Universita' di Parma, Italy","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065562167"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.8797,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.73230497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"3","issue":"2","first_page":"157","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9948999881744385,"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":0.9915000200271606,"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":0.8816583156585693},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.756572425365448},{"id":"https://openalex.org/keywords/parametric-programming","display_name":"Parametric programming","score":0.707993745803833},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7071187496185303},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6752394437789917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.614845335483551},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.6054897308349609},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47164386510849},{"id":"https://openalex.org/keywords/semi-infinite-programming","display_name":"Semi-infinite programming","score":0.4253779351711273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3549811840057373},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3534388840198517},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.32614171504974365},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.113873690366745},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09581294655799866},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08998805284500122}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8816583156585693},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.756572425365448},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.707993745803833},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7071187496185303},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6752394437789917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.614845335483551},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.6054897308349609},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47164386510849},{"id":"https://openalex.org/C2780394207","wikidata":"https://www.wikidata.org/wiki/Q7449304","display_name":"Semi-infinite programming","level":3,"score":0.4253779351711273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3549811840057373},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3534388840198517},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.32614171504974365},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.113873690366745},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09581294655799866},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08998805284500122},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01096736","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01096736","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W15507625","https://openalex.org/W1963725631","https://openalex.org/W1964833489","https://openalex.org/W1984952327","https://openalex.org/W1993458639","https://openalex.org/W1994623385","https://openalex.org/W2000824831","https://openalex.org/W2013608456","https://openalex.org/W2015597746","https://openalex.org/W2017635088","https://openalex.org/W2028206137","https://openalex.org/W2043626235","https://openalex.org/W2080644649","https://openalex.org/W2084141839","https://openalex.org/W2091730139","https://openalex.org/W2116475922","https://openalex.org/W2127489714","https://openalex.org/W2152096092","https://openalex.org/W2156577211","https://openalex.org/W2164629701","https://openalex.org/W2277894705","https://openalex.org/W2319130033","https://openalex.org/W4205094863","https://openalex.org/W4248623816","https://openalex.org/W4255115913"],"related_works":["https://openalex.org/W1968513836","https://openalex.org/W129790892","https://openalex.org/W2026518456","https://openalex.org/W162385653","https://openalex.org/W2355033741","https://openalex.org/W1735229475","https://openalex.org/W2561808025","https://openalex.org/W2991168582","https://openalex.org/W2007081327","https://openalex.org/W2380796333"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
