{"id":"https://openalex.org/W4403435750","doi":"https://doi.org/10.1007/s00186-024-00879-8","title":"Designing sustainable diet plans by solving triobjective integer programs","display_name":"Designing sustainable diet plans by solving triobjective integer programs","publication_year":2024,"publication_date":"2024-10-15","ids":{"openalex":"https://openalex.org/W4403435750","doi":"https://doi.org/10.1007/s00186-024-00879-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-024-00879-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-024-00879-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00879-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00879-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076225221","display_name":"Luca Benvenuti","orcid":"https://orcid.org/0000-0001-7424-6853"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Benvenuti","raw_affiliation_strings":["Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036218807","display_name":"Alberto De Santis","orcid":"https://orcid.org/0000-0001-5175-4951"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto De Santis","raw_affiliation_strings":["Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030935361","display_name":"Marianna De Santis","orcid":"https://orcid.org/0000-0002-1189-5917"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marianna De Santis","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Via di Santa Marta 3, 50139, Florence, Italy"],"raw_orcid":"https://orcid.org/0000-0002-1189-5917","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Via di Santa Marta 3, 50139, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084815521","display_name":"Daniele Patria","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Patria","raw_affiliation_strings":["Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer, Control and Management Engineering, Sapienza, University of Rome, Via Ariosto 25, 00185, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030935361","https://openalex.org/A5036218807"],"corresponding_institution_ids":["https://openalex.org/I45084792","https://openalex.org/I861853513"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14488254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"3","first_page":"703","last_page":"721"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9807999730110168,"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":0.9807999730110168,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6717826724052429},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6086304187774658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4843217432498932},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4521791934967041},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3261408805847168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2912636995315552},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13714930415153503}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6717826724052429},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6086304187774658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4843217432498932},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4521791934967041},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3261408805847168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2912636995315552},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13714930415153503}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00186-024-00879-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-024-00879-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00879-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/1399731","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1399731","pdf_url":"https://flore.unifi.it/bitstream/2158/1399731/1/2024_MMOR_Nitrogen.pdf","source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:mathme:v:100:y:2024:i:3:d:10.1007_s00186-024-00879-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00186-024-00879-8","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:iris.uniroma1.it:11573/1723291","is_oa":true,"landing_page_url":"https://hdl.handle.net/11573/1723291","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00186-024-00879-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00186-024-00879-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00186-024-00879-8.pdf","source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403435750.pdf","grobid_xml":"https://content.openalex.org/works/W4403435750.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W61067137","https://openalex.org/W1989121322","https://openalex.org/W2026662237","https://openalex.org/W2041725971","https://openalex.org/W2051251127","https://openalex.org/W2101488708","https://openalex.org/W2125426232","https://openalex.org/W2154363242","https://openalex.org/W2159436355","https://openalex.org/W2307869511","https://openalex.org/W2783814264","https://openalex.org/W2966382902","https://openalex.org/W2983523747","https://openalex.org/W3033062339","https://openalex.org/W3095009676","https://openalex.org/W3124460525","https://openalex.org/W3134176015","https://openalex.org/W3158717398","https://openalex.org/W3165944435","https://openalex.org/W3175896303","https://openalex.org/W4220712670","https://openalex.org/W4224442561","https://openalex.org/W4321769344","https://openalex.org/W4386380125"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"Abstract":[0],"We":[1,28],"present":[2],"an":[3],"algorithm":[4],"for":[5,24,91],"triobjective":[6,69],"nonlinear":[7],"integer":[8,26],"programs":[9],"that":[10,30],"combines":[11],"the":[12,37,50,65,97,120],"$$\\varepsilon":[13],"$$":[14],"<mml:math":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[16],"<mml:mi>\u03b5</mml:mi>":[17],"</mml:math>":[18],"-constrained":[19],"method":[20,32,59],"with":[21],"available":[22],"oracles":[23],"biobjective":[25],"programs.":[27],"prove":[29],"our":[31],"is":[33,60],"able":[34],"to":[35,48,63,73,89,106],"detect":[36],"nondominated":[38,54,66],"set":[39],"within":[40],"a":[41],"finite":[42],"number":[43],"of":[44,52,68,123],"iterations.":[45],"Specific":[46],"strategies":[47],"avoid":[49],"detection":[51],"weakly":[53],"points":[55],"are":[56,113,136],"devised.":[57],"The":[58,85],"then":[61],"used":[62],"determine":[64],"solutions":[67],"0\u20131":[70],"models,":[71],"built":[72],"design":[74],"nutritionally":[75],"adequate":[76],"and":[77,94,100,110,131,138],"healthy":[78],"diet":[79,86],"plans,":[80],"minimizing":[81],"their":[82],"environmental":[83],"impact.":[84],"plans":[87],"refer":[88],"menus":[90],"school":[92],"cafeterias":[93],"we":[95],"consider":[96],"carbon,":[98],"water":[99],"nitrogen":[101],"footprints":[102],"as":[103],"conflicting":[104],"objectives":[105],"be":[107],"minimized.":[108],"Energy":[109],"nutrient":[111],"contents":[112],"constrained":[114],"in":[115],"suitable":[116],"ranges":[117],"suggested":[118],"by":[119],"dietary":[121],"recommendation":[122],"health":[124],"authorities.":[125],"Results":[126],"obtained":[127],"on":[128,132],"two":[129],"models":[130],"real":[133],"world":[134],"data":[135],"reported":[137],"discussed.":[139]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
