{"id":"https://openalex.org/W4387805269","doi":"https://doi.org/10.1007/s10589-023-00535-7","title":"Optimization over the Pareto front of nonconvex multi-objective optimal control problems","display_name":"Optimization over the Pareto front of nonconvex multi-objective optimal control problems","publication_year":2023,"publication_date":"2023-10-20","ids":{"openalex":"https://openalex.org/W4387805269","doi":"https://doi.org/10.1007/s10589-023-00535-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-023-00535-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-023-00535-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-023-00535-7.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/s10589-023-00535-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077751365","display_name":"C. Yal\u00e7\u0131n Kaya","orcid":"https://orcid.org/0000-0001-7962-7153"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"C. Yal\u00e7\u0131n Kaya","raw_affiliation_strings":["Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, SA, 5095, Australia"],"raw_orcid":"https://orcid.org/0000-0001-7962-7153","affiliations":[{"raw_affiliation_string":"Mathematics, UniSA STEM, University of South Australia, Mawson Lakes, SA, 5095, Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109984602","display_name":"Helmut Maurer","orcid":null},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Helmut Maurer","raw_affiliation_strings":["Angewandte Mathematik, Institut f\u00fcr Analysis und Numerik, Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Angewandte Mathematik, Institut f\u00fcr Analysis und Numerik, Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077751365"],"corresponding_institution_ids":["https://openalex.org/I170239107"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":5.974,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.97695391,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"86","issue":"3","first_page":"1247","last_page":"1274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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":0.9965000152587891,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9944999814033508,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.762850284576416},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6731505393981934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5927717685699463},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5736014246940613},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5350111126899719},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4897182285785675},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.46312910318374634},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4440314471721649},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.4431840777397156},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.43259096145629883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3109464943408966}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.762850284576416},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6731505393981934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5927717685699463},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5736014246940613},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5350111126899719},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4897182285785675},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.46312910318374634},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4440314471721649},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.4431840777397156},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.43259096145629883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3109464943408966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-023-00535-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-023-00535-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-023-00535-7.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:urm_publish:9916803429101831","is_oa":true,"landing_page_url":"https://find.library.unisa.edu.au/discovery/fulldisplay/alma9916803429101831/61USOUTHAUS_INST:ROR","pdf_url":null,"source":{"id":"https://openalex.org/S4306402528","display_name":"UniSA Research Outputs Repository (University of South Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170239107","host_organization_name":"University of South Australia","host_organization_lineage":["https://openalex.org/I170239107"],"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":"","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:86:y:2023:i:3:d:10.1007_s10589-023-00535-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-023-00535-7","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"}],"best_oa_location":{"id":"doi:10.1007/s10589-023-00535-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-023-00535-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-023-00535-7.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.4099999964237213,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320979","display_name":"University of South Australia","ror":"https://ror.org/01p93h210"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387805269.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W641771830","https://openalex.org/W1600338438","https://openalex.org/W1965381995","https://openalex.org/W1981284334","https://openalex.org/W1989731402","https://openalex.org/W1989822484","https://openalex.org/W1992241523","https://openalex.org/W2005755983","https://openalex.org/W2009133709","https://openalex.org/W2010245689","https://openalex.org/W2010533236","https://openalex.org/W2010889814","https://openalex.org/W2015895664","https://openalex.org/W2018816843","https://openalex.org/W2019338521","https://openalex.org/W2022908021","https://openalex.org/W2027181737","https://openalex.org/W2032514919","https://openalex.org/W2034337768","https://openalex.org/W2034425273","https://openalex.org/W2057209463","https://openalex.org/W2057711396","https://openalex.org/W2067760711","https://openalex.org/W2068717022","https://openalex.org/W2069004393","https://openalex.org/W2072581479","https://openalex.org/W2078040808","https://openalex.org/W2084436749","https://openalex.org/W2093807570","https://openalex.org/W2123871098","https://openalex.org/W2129190872","https://openalex.org/W2170423125","https://openalex.org/W2472631432","https://openalex.org/W2621424259","https://openalex.org/W2736747579","https://openalex.org/W2782116724","https://openalex.org/W2810796339","https://openalex.org/W2991610214","https://openalex.org/W3041361171","https://openalex.org/W3098633124","https://openalex.org/W3203253899","https://openalex.org/W4231758816","https://openalex.org/W4238739013","https://openalex.org/W4292864963"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2073147994","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W2384474142","https://openalex.org/W3083133203","https://openalex.org/W1588199609","https://openalex.org/W2744462909","https://openalex.org/W1971520370","https://openalex.org/W1550055091"],"abstract_inverted_index":{"Abstract":[0],"Simultaneous":[1],"optimization":[2,76,100,148],"of":[3,11,35,56,88,95,109,131,137,168,172,193,206,212],"multiple":[4],"objective":[5],"functions":[6],"results":[7],"in":[8,18,23,27,53,102],"a":[9,29,93,107,146,166],"set":[10,25,82],"trade-off,":[12],"or":[13,37],"Pareto,":[14],"solutions.":[15],"Choosing":[16],"a,":[17],"some":[19],"sense,":[20],"best":[21],"solution":[22,153],"this":[24,103,125],"is":[26,43,92,106],"general":[28],"challenging":[30],"task:":[31],"In":[32,124],"the":[33,40,54,61,78,121,129,134,162,169,176,191,194],"case":[34,55],"three":[36],"more":[38],"objectives":[39,59],"Pareto":[41,63,79,135],"front":[42,64,136],"usually":[44],"difficult":[45],"to":[46,67],"view,":[47],"if":[48],"not":[49],"impossible,":[50],"and":[51,112,140,174,204,208],"even":[52],"just":[57],"two":[58,187,197],"constructing":[60],"whole":[62],"so":[65],"as":[66,145],"visually":[68],"inspect":[69],"it":[70],"might":[71],"be":[72],"very":[73],"costly.":[74],"Therefore,":[75],"over":[77,133],"(or":[80],"efficient)":[81],"has":[83],"been":[84],"an":[85,158,201],"active":[86],"area":[87],"research.":[89],"Although":[90],"there":[91,105],"wealth":[94],"literature":[96],"involving":[97,200],"finite":[98],"dimensional":[99],"problems":[101,144,185,199],"area,":[104],"lack":[108],"problem":[110,130],"formulation":[111],"numerical":[113],"methods":[114],"for":[115,120,182,214],"optimal":[116,142,183],"control":[117,143,184],"problems,":[118],"except":[119],"convex":[122],"case.":[123],"paper,":[126],"we":[127,156],"formulate":[128],"optimizing":[132],"nonconvex":[138],"constrained":[139],"time-delayed":[141],"bi-level":[147],"problem.":[149],"Motivated":[150],"by":[151],"existing":[152],"differentiability":[154],"results,":[155],"propose":[157],"algorithm":[159,195],"incorporating":[160],"(i)":[161],"Chebyshev":[163],"scalarization,":[164],"(ii)":[165],"concept":[167],"essential":[170],"interval":[171],"weights,":[173],"(iii)":[175],"simple":[177],"but":[178],"effective":[179],"bisection":[180],"method,":[181],"with":[186],"objectives.":[188],"We":[189],"illustrate":[190],"working":[192],"on":[196],"example":[198],"electric":[202],"circuit":[203],"treatment":[205],"tuberculosis":[207],"discuss":[209],"future":[210],"lines":[211],"research":[213],"new":[215],"computational":[216],"methods.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2023-10-21T00:00:00"}