{"id":"https://openalex.org/W2972760633","doi":"https://doi.org/10.1051/ro/2019085","title":"Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review","display_name":"Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review","publication_year":2019,"publication_date":"2019-09-09","ids":{"openalex":"https://openalex.org/W2972760633","doi":"https://doi.org/10.1051/ro/2019085","mag":"2972760633"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2019085","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2019085","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro170309.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"review","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro170309.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059593304","display_name":"Fouad Ben Abdelaziz","orcid":"https://orcid.org/0000-0002-9489-5743"},"institutions":[{"id":"https://openalex.org/I1289910757","display_name":"NEOMA Business School","ror":"https://ror.org/01g1pe685","country_code":"FR","type":"education","lineage":["https://openalex.org/I1289910757"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fouad Ben Abdelaziz","raw_affiliation_strings":["NEOMA Business School, Rouen Campus, Mont Saint-Aignan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NEOMA Business School, Rouen Campus, Mont Saint-Aignan, France","institution_ids":["https://openalex.org/I1289910757"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008833108","display_name":"Davide La Torre","orcid":"https://orcid.org/0000-0003-2776-0037"},"institutions":[{"id":"https://openalex.org/I181418319","display_name":"SKEMA Business School","ror":"https://ror.org/036h8vg94","country_code":"FR","type":"education","lineage":["https://openalex.org/I181418319"]},{"id":"https://openalex.org/I4210150884","display_name":"Fondation Sophia Antipolis","ror":"https://ror.org/05nkcfv27","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210150884"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Davide La Torre","raw_affiliation_strings":["SKEMA Business School \u2013 Universit\u00e9 C\u00f4te d\u2019Azur, Sophia Antipolis Campus, Sophia Antipolis, France","SKEMA Business School \u2013 Universit\u00e9 C\u00f4te d'Azur, Sophia Antipolis Campus, Sophia Antipolis, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SKEMA Business School \u2013 Universit\u00e9 C\u00f4te d\u2019Azur, Sophia Antipolis Campus, Sophia Antipolis, France","institution_ids":["https://openalex.org/I181418319","https://openalex.org/I4210150884"]},{"raw_affiliation_string":"SKEMA Business School \u2013 Universit\u00e9 C\u00f4te d'Azur, Sophia Antipolis Campus, Sophia Antipolis, France","institution_ids":["https://openalex.org/I181418319","https://openalex.org/I4210150884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039443673","display_name":"Houda Alaya","orcid":null},"institutions":[{"id":"https://openalex.org/I3131031036","display_name":"Mediterranean School of Business","ror":"https://ror.org/02fyv5292","country_code":"TN","type":"education","lineage":["https://openalex.org/I3131031036"]},{"id":"https://openalex.org/I4210147444","display_name":"Institut des Hautes \u00c9tudes du Minist\u00e8re de l'Int\u00e9rieur","ror":"https://ror.org/054qp2w77","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210147444"]}],"countries":["FR","TN"],"is_corresponding":false,"raw_author_name":"Houda Alaya","raw_affiliation_strings":["Logistics and Innovation Technology Research Center, Institut des Hautes Etudes de Paris, Paris, France","Tunis Business School, El Mourouj, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Logistics and Innovation Technology Research Center, Institut des Hautes Etudes de Paris, Paris, France","institution_ids":["https://openalex.org/I4210147444"]},{"raw_affiliation_string":"Tunis Business School, El Mourouj, Tunisia","institution_ids":["https://openalex.org/I3131031036"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059593304"],"corresponding_institution_ids":["https://openalex.org/I1289910757"],"apc_list":null,"apc_paid":null,"fwci":0.4043,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65605096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"55","issue":null,"first_page":"S351","last_page":"S364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9988999962806702,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9988999962806702,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9969000220298767,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/dynamic-programming","display_name":"Dynamic programming","score":0.7662167549133301},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.657236635684967},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.6340575218200684},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5488857626914978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5268380045890808},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5188413858413696},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45855066180229187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33418551087379456},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21850907802581787},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18017259240150452}],"concepts":[{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7662167549133301},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.657236635684967},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.6340575218200684},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5488857626914978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5268380045890808},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5188413858413696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45855066180229187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33418551087379456},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21850907802581787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18017259240150452},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2019085","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2019085","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro170309.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2019085","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2019085","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_S1_S351_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2019085/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2019085","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2019085","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/01/ro170309.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2972760633.pdf","grobid_xml":"https://content.openalex.org/works/W2972760633.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W47669410","https://openalex.org/W231975775","https://openalex.org/W610543308","https://openalex.org/W625996709","https://openalex.org/W1505076599","https://openalex.org/W1536997931","https://openalex.org/W1552094772","https://openalex.org/W1578936488","https://openalex.org/W1600341107","https://openalex.org/W1621776644","https://openalex.org/W1964325782","https://openalex.org/W1975959584","https://openalex.org/W1976885813","https://openalex.org/W1977030815","https://openalex.org/W1998394639","https://openalex.org/W2004902802","https://openalex.org/W2010682507","https://openalex.org/W2017834848","https://openalex.org/W2029932115","https://openalex.org/W2030435702","https://openalex.org/W2042736720","https://openalex.org/W2060942611","https://openalex.org/W2069433571","https://openalex.org/W2075277350","https://openalex.org/W2077496834","https://openalex.org/W2099883288","https://openalex.org/W2112230784","https://openalex.org/W2114682338","https://openalex.org/W2147544122","https://openalex.org/W2160239786","https://openalex.org/W2171395877","https://openalex.org/W2235415941","https://openalex.org/W2320801449","https://openalex.org/W2520119074","https://openalex.org/W2798500587","https://openalex.org/W2798574506","https://openalex.org/W3106992008","https://openalex.org/W3206777520","https://openalex.org/W4210890186","https://openalex.org/W4245559216","https://openalex.org/W4252517507","https://openalex.org/W4294993379","https://openalex.org/W4296154056","https://openalex.org/W4300901655","https://openalex.org/W4301747304"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W2379312070","https://openalex.org/W2136173754","https://openalex.org/W2110050003","https://openalex.org/W2953025626","https://openalex.org/W2499081552","https://openalex.org/W2366053282","https://openalex.org/W2128788708","https://openalex.org/W814774360"],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"to":[3],"present":[4],"a":[5],"state-of-the-art":[6],"review":[7],"of":[8,14],"recent":[9],"development":[10],"within":[11],"the":[12],"areas":[13],"dynamic":[15],"programming":[16],"and":[17],"optimal":[18],"control":[19],"for":[20],"vector-valued":[21],"functions.":[22]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}