{"id":"https://openalex.org/W2768900838","doi":"https://doi.org/10.1007/s10479-019-03276-1","title":"Equivalence between time consistency and nested formula","display_name":"Equivalence between time consistency and nested formula","publication_year":2019,"publication_date":"2019-05-29","ids":{"openalex":"https://openalex.org/W2768900838","doi":"https://doi.org/10.1007/s10479-019-03276-1","mag":"2768900838"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-019-03276-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03276-1","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.08633","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042093356","display_name":"Henri G\u00e9rard","orcid":"https://orcid.org/0000-0001-6274-8290"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210115903","display_name":"Laboratoire Navier","ror":"https://ror.org/029hkd614","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210095849","https://openalex.org/I4210115903","https://openalex.org/I4210145102","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210152323","display_name":"Laboratoire Ville Mobilit\u00e9 Transport","ror":"https://ror.org/056vbnz12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152323","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Henri G\u00e9rard","raw_affiliation_strings":["Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","Universit\u00e9 Paris-Est, Labex B\u00e9zout, 77455, Marne-la-Vall\u00e9e, France","CERMICS"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210128309","https://openalex.org/I4210115903","https://openalex.org/I142631665"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Labex B\u00e9zout, 77455, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152323"]},{"raw_affiliation_string":"CERMICS","institution_ids":["https://openalex.org/I4210128309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023774708","display_name":"Michel De Lara","orcid":"https://orcid.org/0000-0002-3721-5561"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210115903","display_name":"Laboratoire Navier","ror":"https://ror.org/029hkd614","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210095849","https://openalex.org/I4210115903","https://openalex.org/I4210145102","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel De Lara","raw_affiliation_strings":["Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","CERMICS"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210128309","https://openalex.org/I4210115903","https://openalex.org/I142631665"]},{"raw_affiliation_string":"CERMICS","institution_ids":["https://openalex.org/I4210128309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032878617","display_name":"Jean\u2010Philippe Chancelier","orcid":"https://orcid.org/0000-0002-0658-2035"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210115903","display_name":"Laboratoire Navier","ror":"https://ror.org/029hkd614","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210095849","https://openalex.org/I4210115903","https://openalex.org/I4210145102","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Philippe Chancelier","raw_affiliation_strings":["Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","CERMICS, MATHRISK"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, CERMICS (ENPC), 77455, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210128309","https://openalex.org/I4210115903","https://openalex.org/I142631665"]},{"raw_affiliation_string":"CERMICS, MATHRISK","institution_ids":["https://openalex.org/I4210128309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042093356"],"corresponding_institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210115903","https://openalex.org/I4210128309","https://openalex.org/I4210152323"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3034,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61651056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"292","issue":"2","first_page":"627","last_page":"647"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.8061275482177734},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.721741259098053},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6647286415100098},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5811837911605835},{"id":"https://openalex.org/keywords/time-consistency","display_name":"Time consistency","score":0.5173751711845398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4931601881980896},{"id":"https://openalex.org/keywords/weak-consistency","display_name":"Weak consistency","score":0.4706052243709564},{"id":"https://openalex.org/keywords/strong-consistency","display_name":"Strong consistency","score":0.3954104781150818},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.390722393989563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37254244089126587},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2748420834541321},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24557480216026306},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2153802514076233},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.13733011484146118},{"id":"https://openalex.org/keywords/actuarial-science","display_name":"Actuarial science","score":0.08809003233909607},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07006296515464783}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.8061275482177734},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.721741259098053},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6647286415100098},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5811837911605835},{"id":"https://openalex.org/C11534374","wikidata":"https://www.wikidata.org/wiki/Q7805280","display_name":"Time consistency","level":2,"score":0.5173751711845398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4931601881980896},{"id":"https://openalex.org/C122377713","wikidata":"https://www.wikidata.org/wiki/Q4422799","display_name":"Weak consistency","level":4,"score":0.4706052243709564},{"id":"https://openalex.org/C31388003","wikidata":"https://www.wikidata.org/wiki/Q7624548","display_name":"Strong consistency","level":3,"score":0.3954104781150818},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.390722393989563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37254244089126587},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2748420834541321},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24557480216026306},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2153802514076233},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.13733011484146118},{"id":"https://openalex.org/C162118730","wikidata":"https://www.wikidata.org/wiki/Q1128453","display_name":"Actuarial science","level":1,"score":0.08809003233909607},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07006296515464783},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10479-019-03276-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-019-03276-1","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1711.08633","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.08633","pdf_url":"https://arxiv.org/pdf/1711.08633","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2768900838","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.08633.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"mag:3123940602","is_oa":false,"landing_page_url":"https://ideas.repec.org/p/arx/papers/1711.08633.html","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":"RePEc: Research Papers in Economics","raw_type":null},{"id":"pmh:oai:HAL:hal-01645564v2","is_oa":false,"landing_page_url":"https://enpc.hal.science/hal-01645564","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007/s10479-019-03276-1","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:annopr:v:292:y:2020:i:2:d:10.1007_s10479-019-03276-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-019-03276-1","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":"doi:10.48550/arxiv.1711.08633","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.08633","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.08633","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.08633","pdf_url":"https://arxiv.org/pdf/1711.08633","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W622935592","https://openalex.org/W1647779468","https://openalex.org/W1981974807","https://openalex.org/W2001009060","https://openalex.org/W2005087532","https://openalex.org/W2019291268","https://openalex.org/W2034466528","https://openalex.org/W2045765330","https://openalex.org/W2057609912","https://openalex.org/W2067839247","https://openalex.org/W2069326331","https://openalex.org/W2082018848","https://openalex.org/W2118821424","https://openalex.org/W2132807882","https://openalex.org/W2136862484","https://openalex.org/W2276122543","https://openalex.org/W3122851459","https://openalex.org/W3125094392","https://openalex.org/W3129885716","https://openalex.org/W4248704747","https://openalex.org/W4251562186"],"related_works":["https://openalex.org/W3123940602","https://openalex.org/W1540770276","https://openalex.org/W2092923997","https://openalex.org/W3097206427","https://openalex.org/W2014075683","https://openalex.org/W1997872268","https://openalex.org/W3099307660","https://openalex.org/W2296684049","https://openalex.org/W2081520957","https://openalex.org/W181868178","https://openalex.org/W1499789228","https://openalex.org/W1595716122","https://openalex.org/W2521349665","https://openalex.org/W2158898767","https://openalex.org/W19652323","https://openalex.org/W2210368431","https://openalex.org/W3196467332","https://openalex.org/W73305646","https://openalex.org/W2360215740","https://openalex.org/W2953127103"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}