{"id":"https://openalex.org/W2952285265","doi":"https://doi.org/10.1134/s0005117919060043","title":"General Properties of Two-Stage Stochastic Programming Problems with Probabilistic Criteria","display_name":"General Properties of Two-Stage Stochastic Programming Problems with Probabilistic Criteria","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2952285265","doi":"https://doi.org/10.1134/s0005117919060043","mag":"2952285265"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117919060043","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117919060043","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5045965506","display_name":"Sergey V. Ivanov","orcid":"https://orcid.org/0000-0002-7648-3489"},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. V. Ivanov","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077242673","display_name":"A. I. Kibzun","orcid":null},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. I. Kibzun","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045965506","https://openalex.org/A5077242673"],"corresponding_institution_ids":["https://openalex.org/I45571689"],"apc_list":null,"apc_paid":null,"fwci":0.4116,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67426207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"80","issue":"6","first_page":"1041","last_page":"1057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9926000237464905,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9926000237464905,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9625999927520752,"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/T12667","display_name":"Economic and Technological Developments in Russia","score":0.9427000284194946,"subfield":{"id":"https://openalex.org/subfields/3303","display_name":"Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6975290179252625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6851046681404114},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6738926768302917},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.6295464038848877},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5984043478965759},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5520060658454895},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5154350996017456},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08905655145645142},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07545596361160278}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6975290179252625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6851046681404114},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6738926768302917},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.6295464038848877},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5984043478965759},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5520060658454895},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5154350996017456},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08905655145645142},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07545596361160278},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117919060043","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117919060043","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W90125235","https://openalex.org/W1493492050","https://openalex.org/W1496506618","https://openalex.org/W1541527977","https://openalex.org/W1569990960","https://openalex.org/W1571025862","https://openalex.org/W1738394416","https://openalex.org/W1965230003","https://openalex.org/W1970287426","https://openalex.org/W1974836546","https://openalex.org/W1989755892","https://openalex.org/W1990083802","https://openalex.org/W1995670718","https://openalex.org/W2022128734","https://openalex.org/W2040192270","https://openalex.org/W2066778083","https://openalex.org/W2074061102","https://openalex.org/W2127923765","https://openalex.org/W2164499670","https://openalex.org/W2167201389","https://openalex.org/W2469824847","https://openalex.org/W2790314402","https://openalex.org/W2791596340","https://openalex.org/W2792891120","https://openalex.org/W2798344481","https://openalex.org/W2921990525","https://openalex.org/W3106992008","https://openalex.org/W4235278732","https://openalex.org/W4247165901","https://openalex.org/W4301355870"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2895916002","https://openalex.org/W1814049089","https://openalex.org/W1977348009","https://openalex.org/W2369683208","https://openalex.org/W2025983798","https://openalex.org/W1586572182","https://openalex.org/W1971383138","https://openalex.org/W1971867489"],"abstract_inverted_index":{"Two-stage":[0],"stochastic":[1],"programming":[2],"problems":[3,58,87,101],"with":[4,128],"the":[5,11,19,22,28,31,39,49,57,66,72,86,95,99,104,108,121,129],"probabilistic":[6,130],"and":[7,25,52,81,90],"quantile":[8],"criteria":[9],"in":[10,71,98,107],"general":[12],"statement":[13],"are":[14,34,44,88,111,115],"considered.":[15],"Sufficient":[16,36],"conditions":[17,37,92],"for":[18,27,38],"measurability":[20],"of":[21,30,41,48,56,65,85,120],"loss":[23],"function":[24],"also":[26,91],"semicontinuity":[29],"criterion":[32,131],"functions":[33],"given.":[35],"existence":[40],"optimal":[42,96,105],"strategies":[43,97],"established.":[45],"The":[46,63,113,125],"equivalence":[47],"a":[50,53,75,135],"priori":[51],"posteriori":[54],"statements":[55],"under":[59,93],"study":[60],"is":[61,79,132],"proved.":[62],"application":[64],"confidence":[67],"method,":[68],"which":[69,94],"consists":[70],"transition":[73],"to":[74,103,134],"deterministic":[76],"minimax":[77],"problem,":[78],"described":[80],"justified.":[82],"Sample":[83],"approximations":[84],"constructed":[89],"approximating":[100],"converge":[102],"strategy":[106],"original":[109],"problem":[110,127],"presented.":[112],"results":[114],"illustrated":[116],"by":[117],"an":[118],"example":[119],"linear":[122],"two-step":[123],"problem.":[124,137],"two-stage":[126],"reduced":[133],"mixed-integer":[136]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}