{"id":"https://openalex.org/W2526806684","doi":"https://doi.org/10.1080/10556788.2016.1233974","title":"A study of one class of NLP problems arising in parametric semi-infinite programming","display_name":"A study of one class of NLP problems arising in parametric semi-infinite programming","publication_year":2016,"publication_date":"2016-09-29","ids":{"openalex":"https://openalex.org/W2526806684","doi":"https://doi.org/10.1080/10556788.2016.1233974","mag":"2526806684"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2016.1233974","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2016.1233974","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10773/18242","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029454668","display_name":"O. I. Kostyukova","orcid":"https://orcid.org/0000-0002-0959-0831"},"institutions":[{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]},{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"O.I. Kostyukova","raw_affiliation_strings":["Institute of Mathematics, National Academy of Sciences of Belarus, Surganov str. 11, 220072 Minsk, Belarus"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Belarus, Surganov str. 11, 220072 Minsk, Belarus","institution_ids":["https://openalex.org/I151823869","https://openalex.org/I4210105280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087817338","display_name":"Tatiana Tchemisova","orcid":"https://orcid.org/0000-0002-2678-2552"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"T.V. Tchemisova","raw_affiliation_strings":["Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, University Campus Santiago, 3810-193 Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, University Campus Santiago, 3810-193 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074867236","display_name":"Mariya Kurdina","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]},{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"M.A. Kurdina","raw_affiliation_strings":["Institute of Mathematics, National Academy of Sciences of Belarus, Surganov str. 11, 220072 Minsk, Belarus"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Belarus, Surganov str. 11, 220072 Minsk, Belarus","institution_ids":["https://openalex.org/I151823869","https://openalex.org/I4210105280"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087817338"],"corresponding_institution_ids":["https://openalex.org/I60858718"],"apc_list":null,"apc_paid":null,"fwci":0.7225,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76287595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"32","issue":"6","first_page":"1218","last_page":"1243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987000226974487,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.769234836101532},{"id":"https://openalex.org/keywords/parametric-programming","display_name":"Parametric programming","score":0.6788448691368103},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.64487224817276},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5540121793746948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5410643219947815},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45648193359375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44462695717811584},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4182719588279724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.414974570274353},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4132930636405945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38157036900520325}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.769234836101532},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.6788448691368103},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.64487224817276},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5540121793746948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5410643219947815},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45648193359375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44462695717811584},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4182719588279724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.414974570274353},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4132930636405945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38157036900520325},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10556788.2016.1233974","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2016.1233974","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:libeldoc.bsuir.by:123456789/10471","is_oa":false,"landing_page_url":"https://libeldoc.bsuir.by/handle/123456789/10471","pdf_url":null,"source":{"id":"https://openalex.org/S4406923062","display_name":"\u0420\u0435\u043f\u043e\u0437\u0438\u0442\u043e\u0440\u0438\u0439 \u0411\u0413\u0423\u0418\u0420 (BSUIR Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},{"id":"pmh:oai:ria.ua.pt:10773/18242","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/18242","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:ria.ua.pt:10773/21062","is_oa":false,"landing_page_url":"http://hdl.handle.net/10773/21062","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"journal article"}],"best_oa_location":{"id":"pmh:oai:ria.ua.pt:10773/18242","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/18242","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W107851042","https://openalex.org/W187928793","https://openalex.org/W291003596","https://openalex.org/W609623513","https://openalex.org/W1601741115","https://openalex.org/W1606052501","https://openalex.org/W1949931135","https://openalex.org/W1964794414","https://openalex.org/W2000156923","https://openalex.org/W2054919724","https://openalex.org/W2065012719","https://openalex.org/W2075887074","https://openalex.org/W2086194488","https://openalex.org/W2089986028","https://openalex.org/W2301746362","https://openalex.org/W3173138228","https://openalex.org/W4232193086"],"related_works":["https://openalex.org/W2060520329","https://openalex.org/W2033258130","https://openalex.org/W4235273712","https://openalex.org/W1976005168","https://openalex.org/W2026597543","https://openalex.org/W155178367","https://openalex.org/W2268772487","https://openalex.org/W2075671866","https://openalex.org/W2064551423","https://openalex.org/W2085365037"],"abstract_inverted_index":{"The":[0],"paper":[1],"deals":[2],"with":[3,41],"a":[4,12,21,53],"nonlinear":[5],"programming":[6,38],"(NLP)":[7],"problem":[8,19,29,59,82,110],"that":[9,119],"depends":[10],"on":[11],"finite":[13],"number":[14],"of":[15,32,35,56,66,79,99,106,124,135],"integers":[16],"(parameters).":[17],"This":[18],"has":[20],"special":[22],"form,":[23],"and":[24,60,115],"arises":[25],"as":[26],"an":[27,117],"auxiliary":[28],"in":[30,73,92],"study":[31,55],"solutions'":[33],"properties":[34,62,85],"parametric":[36,93],"semi-infinite":[37],"(SIP)":[39],"problems":[40],"finitely":[42],"representable":[43],"compact":[44],"index":[45],"sets.":[46],"Therefore,":[47],"it":[48],"is":[49,129],"important":[50],"to":[51,87,131],"provide":[52],"deep":[54],"this":[57],"NLP":[58,81,109],"its":[61],"w.r.t.":[63],"the":[64,67,74,80,97,100,107,112,121,125,133,136],"values":[65,98,123],"parameters.":[68,126],"We":[69,95],"are":[70],"especially":[71],"interested":[72],"case":[75],"when":[76],"optimal":[77,104],"solutions":[78,105],"satisfy":[83],"certain":[84],"due":[86],"some":[88],"specific":[89],"requirements":[90],"arising":[91],"SIP.":[94],"establish":[96],"parameters":[101],"for":[102],"which":[103],"corresponding":[108],"fulfil":[111],"needed":[113],"properties,":[114],"suggest":[116],"algorithm":[118],"determines":[120],"right":[122],"An":[127],"example":[128],"proposed":[130],"illustrate":[132],"application":[134],"algorithm.":[137]},"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
