{"id":"https://openalex.org/W2073420106","doi":"https://doi.org/10.1007/s10852-014-9256-x","title":"Derivative-Free Augmented Lagrangian for Global Optimization: Cost Minimization in a Simplified Activated Sludge System Model","display_name":"Derivative-Free Augmented Lagrangian for Global Optimization: Cost Minimization in a Simplified Activated Sludge System Model","publication_year":2014,"publication_date":"2014-05-12","ids":{"openalex":"https://openalex.org/W2073420106","doi":"https://doi.org/10.1007/s10852-014-9256-x","mag":"2073420106"},"language":"en","primary_location":{"id":"doi:10.1007/s10852-014-9256-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-014-9256-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210212515","display_name":"Journal of Mathematical Modelling and Algorithms in Operations Research","issn_l":"2214-2487","issn":["2214-2487","2214-2495"],"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 Mathematical Modelling and Algorithms in Operations Research","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/A5071297105","display_name":"I. A. C. P. Esp\u00edrito Santo","orcid":"https://orcid.org/0000-0002-5589-0501"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Isabel Espirito Santo","raw_affiliation_strings":["Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","University of Minho, Campus de Gualtar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"University of Minho, Campus de Gualtar","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070480404","display_name":"Roman Denysiuk","orcid":"https://orcid.org/0000-0002-6847-8313"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Roman Denysiuk","raw_affiliation_strings":["Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","University of Minho, Campus de Gualtar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"University of Minho, Campus de Gualtar","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004033429","display_name":"Edite M. G. P. Fernandes","orcid":"https://orcid.org/0000-0003-0722-9361"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Edite M.G.P. Fernandes","raw_affiliation_strings":["Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","University of Minho, Campus de Gualtar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algoritmi Research Centre, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"University of Minho, Campus de Gualtar","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071297105"],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15962487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"14","issue":"1","first_page":"35","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9700000286102295,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9700000286102295,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9205999970436096,"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/T10969","display_name":"Water resources management and optimization","score":0.9154000282287598,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/minification","display_name":"Minification","score":0.741567075252533},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.6968686580657959},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.619114875793457},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5975507497787476},{"id":"https://openalex.org/keywords/activated-sludge","display_name":"Activated sludge","score":0.5741098523139954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5473017692565918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4265567362308502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4207804203033447},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35606110095977783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32479649782180786},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.2961399555206299},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.15713661909103394},{"id":"https://openalex.org/keywords/environmental-engineering","display_name":"Environmental engineering","score":0.1403060257434845},{"id":"https://openalex.org/keywords/sewage-treatment","display_name":"Sewage treatment","score":0.13335302472114563}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.741567075252533},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.6968686580657959},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.619114875793457},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5975507497787476},{"id":"https://openalex.org/C2777730692","wikidata":"https://www.wikidata.org/wiki/Q815353","display_name":"Activated sludge","level":3,"score":0.5741098523139954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5473017692565918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4265567362308502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4207804203033447},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35606110095977783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32479649782180786},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.2961399555206299},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.15713661909103394},{"id":"https://openalex.org/C87717796","wikidata":"https://www.wikidata.org/wiki/Q146326","display_name":"Environmental engineering","level":1,"score":0.1403060257434845},{"id":"https://openalex.org/C57442070","wikidata":"https://www.wikidata.org/wiki/Q221275","display_name":"Sewage treatment","level":2,"score":0.13335302472114563},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10852-014-9256-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-014-9256-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210212515","display_name":"Journal of Mathematical Modelling and Algorithms in Operations Research","issn_l":"2214-2487","issn":["2214-2487","2214-2495"],"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 Mathematical Modelling and Algorithms in Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W156784932","https://openalex.org/W196818352","https://openalex.org/W629937909","https://openalex.org/W1537384856","https://openalex.org/W1669104078","https://openalex.org/W1969631053","https://openalex.org/W1987995897","https://openalex.org/W2004804728","https://openalex.org/W2006575733","https://openalex.org/W2006582835","https://openalex.org/W2016670346","https://openalex.org/W2042613327","https://openalex.org/W2054875385","https://openalex.org/W2059204304","https://openalex.org/W2067304189","https://openalex.org/W2078475310","https://openalex.org/W2083843630","https://openalex.org/W2084186221","https://openalex.org/W2090694333","https://openalex.org/W2107237396","https://openalex.org/W2109348499","https://openalex.org/W2113741278","https://openalex.org/W2130788193","https://openalex.org/W2152710595","https://openalex.org/W2162737890","https://openalex.org/W2163800058","https://openalex.org/W2256910844","https://openalex.org/W2257481305","https://openalex.org/W2286724671","https://openalex.org/W2306683079"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2919324478","https://openalex.org/W146488304","https://openalex.org/W2130120519","https://openalex.org/W2058578573","https://openalex.org/W2012871340","https://openalex.org/W2315802443","https://openalex.org/W102932032","https://openalex.org/W2376104286","https://openalex.org/W2082353735"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}