{"id":"https://openalex.org/W2916344177","doi":"https://doi.org/10.1007/s11590-019-01412-1","title":"The multi-stage dynamic stochastic decision process with unknown distribution of the random utilities","display_name":"The multi-stage dynamic stochastic decision process with unknown distribution of the random utilities","publication_year":2019,"publication_date":"2019-02-27","ids":{"openalex":"https://openalex.org/W2916344177","doi":"https://doi.org/10.1007/s11590-019-01412-1","mag":"2916344177"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-019-01412-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-019-01412-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-019-01412-1.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/s11590-019-01412-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064842708","display_name":"Roberto Tadei","orcid":"https://orcid.org/0000-0003-0828-424X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Roberto Tadei","raw_affiliation_strings":["Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087754861","display_name":"Guido Perboli","orcid":"https://orcid.org/0000-0001-6900-9917"},"institutions":[{"id":"https://openalex.org/I1334704838","display_name":"Transport Canada","ror":"https://ror.org/0238rs311","country_code":"CA","type":"government","lineage":["https://openalex.org/I1334704838"]},{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["CA","IT"],"is_corresponding":false,"raw_author_name":"Guido Perboli","raw_affiliation_strings":["Centre Interuniversitaire de Recherche sur les R\u00e9seaux d\u2019Entreprise, la Logistique et le Transport, Montreal, Canada","Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy","ICT for City Logistics and Enterprises Lab, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Centre Interuniversitaire de Recherche sur les R\u00e9seaux d\u2019Entreprise, la Logistique et le Transport, Montreal, Canada","institution_ids":["https://openalex.org/I1334704838"]},{"raw_affiliation_string":"Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"ICT for City Logistics and Enterprises Lab, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072270457","display_name":"Daniele Manerba","orcid":"https://orcid.org/0000-0002-3502-5289"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Manerba","raw_affiliation_strings":["Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy","ICT for City Logistics and Enterprises Lab, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Control and Computer Engineering, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"ICT for City Logistics and Enterprises Lab, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064842708"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.2349,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81089715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"5","first_page":"1207","last_page":"1218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9932000041007996,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9932000041007996,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9854000210762024,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-decision","display_name":"Optimal decision","score":0.5170007944107056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5036007761955261},{"id":"https://openalex.org/keywords/multinomial-logistic-regression","display_name":"Multinomial logistic regression","score":0.498931884765625},{"id":"https://openalex.org/keywords/expected-utility-hypothesis","display_name":"Expected utility hypothesis","score":0.4952169954776764},{"id":"https://openalex.org/keywords/decision-rule","display_name":"Decision rule","score":0.47955676913261414},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.46718838810920715},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4581020176410675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4368026852607727},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4308347702026367},{"id":"https://openalex.org/keywords/multinomial-distribution","display_name":"Multinomial distribution","score":0.42293402552604675},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.4220521152019501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42189720273017883},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.328144371509552},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26876914501190186},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.2300189733505249},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11571171879768372}],"concepts":[{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.5170007944107056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5036007761955261},{"id":"https://openalex.org/C117568660","wikidata":"https://www.wikidata.org/wiki/Q1650843","display_name":"Multinomial logistic regression","level":2,"score":0.498931884765625},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.4952169954776764},{"id":"https://openalex.org/C84839998","wikidata":"https://www.wikidata.org/wiki/Q5249245","display_name":"Decision rule","level":2,"score":0.47955676913261414},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.46718838810920715},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4581020176410675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4368026852607727},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4308347702026367},{"id":"https://openalex.org/C192065140","wikidata":"https://www.wikidata.org/wiki/Q1147928","display_name":"Multinomial distribution","level":2,"score":0.42293402552604675},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.4220521152019501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42189720273017883},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.328144371509552},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26876914501190186},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.2300189733505249},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11571171879768372}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11590-019-01412-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-019-01412-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-019-01412-1.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:iris.unibs.it:11379/526370","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/526370","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:32060","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/32060","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11590-019-01412-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-019-01412-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-019-01412-1.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2916344177.pdf","grobid_xml":"https://content.openalex.org/works/W2916344177.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W123430343","https://openalex.org/W223708877","https://openalex.org/W636756153","https://openalex.org/W638013724","https://openalex.org/W1504960282","https://openalex.org/W1557721073","https://openalex.org/W1970062667","https://openalex.org/W1976142682","https://openalex.org/W1979258712","https://openalex.org/W1987432449","https://openalex.org/W2047122481","https://openalex.org/W2063530037","https://openalex.org/W2082932914","https://openalex.org/W2091616718","https://openalex.org/W2101834443","https://openalex.org/W2152081677","https://openalex.org/W2155467293","https://openalex.org/W2292826472","https://openalex.org/W2300715002","https://openalex.org/W2787015425","https://openalex.org/W2887063671","https://openalex.org/W2907113030","https://openalex.org/W2972424502","https://openalex.org/W3015812362","https://openalex.org/W3139570206","https://openalex.org/W4300546246","https://openalex.org/W6633347161"],"related_works":["https://openalex.org/W2766512981","https://openalex.org/W2069917210","https://openalex.org/W1802643016","https://openalex.org/W3144108786","https://openalex.org/W4297669739","https://openalex.org/W2076806077","https://openalex.org/W2782911614","https://openalex.org/W141122519","https://openalex.org/W2155538984","https://openalex.org/W2916344177"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,7,12,136],"decision":[3,9,38,65,105,122],"maker":[4,106],"who":[5],"performs":[6],"stochastic":[8,63],"process":[10],"over":[11],"multiple":[13],"number":[14],"of":[15,59,69,72,80,100,103,111,120],"stages,":[16],"where":[17],"the":[18,37,46,55,60,73,77,81,98,101,104,108,114,118,121,129],"choice":[19,130],"alternatives":[20,112,134],"are":[21,32],"characterized":[22],"by":[23,45],"random":[24],"utilities":[25],"with":[26],"unknown":[27],"probability":[28,78,131],"distribution.":[29],"The":[30,50],"decisions":[31],"nested":[33],"each":[34,41],"other,":[35],"i.e.":[36],"taken":[39],"at":[40,117],"stage":[42,48],"is":[43,85,91,95,125],"affected":[44],"subsequent":[47],"decisions.":[49],"problem":[51],"consists":[52],"in":[53,113],"maximizing":[54],"total":[56,82],"expected":[57,89],"utility":[58,84],"overall":[61,109],"multi-stage":[62],"dynamic":[64],"process.":[66,123],"By":[67],"means":[68],"some":[70],"results":[71],"extreme":[74],"values":[75],"theory,":[76],"distribution":[79],"maximum":[83],"derived":[86],"and":[87],"its":[88],"value":[90,94],"found.":[92],"This":[93],"proportional":[96],"to":[97,107,132],"logarithm":[99],"accessibility":[102],"set":[110],"different":[115],"stages":[116],"start":[119],"It":[124],"also":[126],"shown":[127],"that":[128],"select":[133],"becomes":[135],"Nested":[137],"Multinomial":[138],"Logit":[139],"model.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}