{"id":"https://openalex.org/W4402163628","doi":"https://doi.org/10.1016/j.amc.2024.129044","title":"Linear programming with infinite, finite, and infinitesimal values in the right-hand side","display_name":"Linear programming with infinite, finite, and infinitesimal values in the right-hand side","publication_year":2024,"publication_date":"2024-09-03","ids":{"openalex":"https://openalex.org/W4402163628","doi":"https://doi.org/10.1016/j.amc.2024.129044"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2024.129044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.amc.2024.129044","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.amc.2024.129044","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080905811","display_name":"Marco Cococcioni","orcid":"https://orcid.org/0000-0002-7020-1524"},"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":false,"raw_author_name":"Marco Cococcioni","raw_affiliation_strings":["Department of Information Engineering, University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7020-1524","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038742662","display_name":"Lorenzo Fiaschi","orcid":"https://orcid.org/0000-0002-5413-0148"},"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":"Lorenzo Fiaschi","raw_affiliation_strings":["Department of Information Engineering, University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5413-0148","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038742662"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":{"value":3550,"currency":"USD","value_usd":3550},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23922554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"486","issue":null,"first_page":"129044","last_page":"129044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9902999997138977,"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":0.9681000113487244,"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/infinitesimal","display_name":"Infinitesimal","score":0.7578152418136597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.658287525177002},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4663011133670807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45864278078079224},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36538612842559814},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32142072916030884},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2268696129322052}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.7578152418136597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.658287525177002},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4663011133670807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45864278078079224},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36538612842559814},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32142072916030884},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2268696129322052},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.amc.2024.129044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.amc.2024.129044","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:apmaco:v:486:y:2025:i:c:s0096300324005058","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0096300324005058","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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:arpi.unipi.it:11568/1273777","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1273777","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.amc.2024.129044","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.amc.2024.129044","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F5497039910","display_name":"Ministero dell'Istruzione e del Merito","ror":"https://ror.org/01ehyh486"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W608832534","https://openalex.org/W630651285","https://openalex.org/W659407495","https://openalex.org/W1531327550","https://openalex.org/W1899396770","https://openalex.org/W1919769743","https://openalex.org/W1986414193","https://openalex.org/W1991235223","https://openalex.org/W2005287809","https://openalex.org/W2029091807","https://openalex.org/W2072727857","https://openalex.org/W2081037862","https://openalex.org/W2111788124","https://openalex.org/W2127470768","https://openalex.org/W2161960904","https://openalex.org/W2167816765","https://openalex.org/W2168352426","https://openalex.org/W2326954772","https://openalex.org/W2329909818","https://openalex.org/W2416638992","https://openalex.org/W2573510686","https://openalex.org/W2620873085","https://openalex.org/W2743286152","https://openalex.org/W2761663315","https://openalex.org/W2764113219","https://openalex.org/W2766556641","https://openalex.org/W2768203990","https://openalex.org/W2949465332","https://openalex.org/W2963595960","https://openalex.org/W2988835535","https://openalex.org/W3000250712","https://openalex.org/W3013744805","https://openalex.org/W3037311111","https://openalex.org/W3087472809","https://openalex.org/W3110656815","https://openalex.org/W3130199688","https://openalex.org/W3139981417","https://openalex.org/W4206037775","https://openalex.org/W4285289587","https://openalex.org/W4286567502","https://openalex.org/W4287578809","https://openalex.org/W4388452197","https://openalex.org/W6617095601","https://openalex.org/W6630981740","https://openalex.org/W6657689296","https://openalex.org/W6722581971","https://openalex.org/W6732042039","https://openalex.org/W6738762689","https://openalex.org/W6743066653","https://openalex.org/W6774017223","https://openalex.org/W6780167366","https://openalex.org/W6810944489"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2370818987","https://openalex.org/W2350226651","https://openalex.org/W2361379965","https://openalex.org/W2385204246","https://openalex.org/W2275803388","https://openalex.org/W4256517631","https://openalex.org/W2198008985"],"abstract_inverted_index":{"The":[0,59],"goal":[1],"of":[2,11,28,31,56,61,67,102,130,137,154],"this":[3,97],"work":[4,98],"is":[5,53,89,107,149],"to":[6,109],"propose":[7],"a":[8,78,90,100],"new":[9],"type":[10],"constraint":[12],"for":[13,92],"linear":[14,68,112],"programs:":[15],"inequalities":[16],"having":[17],"infinite,":[18],"finite,":[19],"and":[20,51],"infinitesimal":[21],"values":[22,75],"in":[23],"the":[24,29,34,54,57,65,103,118,128,135,138,152,155],"right-hand":[25],"side.":[26],"Because":[27],"nature":[30],"such":[32,62,86],"constraints,":[33,133],"feasible":[35],"region":[36],"polyhedron":[37],"becomes":[38],"more":[39],"complex,":[40],"since":[41],"its":[42],"vertices":[43],"can":[44,125],"be":[45],"represented":[46],"by":[47,73],"non-purely":[48],"finite":[49,74],"coordinates,":[50],"so":[52],"optimum":[55],"problem.":[58],"introduction":[60],"constraints":[63],"enlarges":[64],"class":[66],"programs,":[69],"where":[70],"those":[71],"described":[72],"only":[76],"become":[77],"special":[79],"case.":[80],"To":[81],"tackle":[82],"optimization":[83],"problems":[84],"over":[85],"polyhedra,":[87],"there":[88],"need":[91],"an":[93,146],"ad-hoc":[94],"solving":[95],"routine:":[96],"proposes":[99],"generalization":[101],"Simplex":[104,140],"algorithm,":[105],"which":[106],"able":[108],"solve":[110],"common":[111],"programs":[113],"as":[114],"corner":[115],"cases.":[116],"Finally,":[117],"study":[119],"presents":[120],"three":[121],"relevant":[122],"applications":[123],"that":[124],"benefit":[126],"from":[127],"use":[129,136],"these":[131],"novel":[132],"making":[134],"extended":[139],"algorithm":[141],"essential.":[142],"For":[143],"each":[144],"application,":[145],"exemplifying":[147],"benchmark":[148],"solved,":[150],"showing":[151],"effectiveness":[153],"proposed":[156],"routine.":[157]},"counts_by_year":[],"updated_date":"2026-02-03T00:53:05.648605","created_date":"2025-10-10T00:00:00"}
