{"id":"https://openalex.org/W1980247637","doi":"https://doi.org/10.1007/bf02204815","title":"Asymptotic analysis of stochastic programs","display_name":"Asymptotic analysis of stochastic programs","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W1980247637","doi":"https://doi.org/10.1007/bf02204815","mag":"1980247637"},"language":"en","primary_location":{"id":"doi:10.1007/bf02204815","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02204815","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":"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/A5025917676","display_name":"Alexander Shapiro","orcid":"https://orcid.org/0000-0002-4776-0053"},"institutions":[{"id":"https://openalex.org/I165390105","display_name":"University of South Africa","ror":"https://ror.org/048cwvf49","country_code":"ZA","type":"education","lineage":["https://openalex.org/I165390105"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Alexander Shapiro","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of South Africa, 0001, Pretoria, South Africa","Department of Mathematics and Applied Mathematics, University of South Africa, Pretoria, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of South Africa, 0001, Pretoria, South Africa","institution_ids":["https://openalex.org/I165390105"]},{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of South Africa, Pretoria, South Africa","institution_ids":["https://openalex.org/I165390105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025917676"],"corresponding_institution_ids":["https://openalex.org/I165390105"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.9402,"has_fulltext":false,"cited_by_count":268,"citation_normalized_percentile":{"value":0.96722202,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"30","issue":"1","first_page":"169","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9923999905586243,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9923999905586243,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9922999739646912,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7310302257537842},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.6593595147132874},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6571738719940186},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5406323075294495},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.5351560711860657},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5346718430519104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46788376569747925},{"id":"https://openalex.org/keywords/asymptotology","display_name":"Asymptotology","score":0.46497631072998047},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.4477786421775818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43354955315589905},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4137239456176758},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1503078043460846},{"id":"https://openalex.org/keywords/method-of-matched-asymptotic-expansions","display_name":"Method of matched asymptotic expansions","score":0.13849303126335144},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13399270176887512},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10102412104606628}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7310302257537842},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.6593595147132874},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6571738719940186},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5406323075294495},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.5351560711860657},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5346718430519104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46788376569747925},{"id":"https://openalex.org/C3515459","wikidata":"https://www.wikidata.org/wiki/Q3140874","display_name":"Asymptotology","level":4,"score":0.46497631072998047},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.4477786421775818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43354955315589905},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4137239456176758},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1503078043460846},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.13849303126335144},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13399270176887512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10102412104606628},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02204815","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02204815","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W30959786","https://openalex.org/W64605562","https://openalex.org/W135911866","https://openalex.org/W199639185","https://openalex.org/W1493492050","https://openalex.org/W1528330203","https://openalex.org/W1528967019","https://openalex.org/W1572204513","https://openalex.org/W1967784957","https://openalex.org/W1968850685","https://openalex.org/W1975049860","https://openalex.org/W1975557085","https://openalex.org/W1983871704","https://openalex.org/W1993647205","https://openalex.org/W2004207512","https://openalex.org/W2018508199","https://openalex.org/W2026960120","https://openalex.org/W2032196347","https://openalex.org/W2039407677","https://openalex.org/W2039667159","https://openalex.org/W2044654734","https://openalex.org/W2046033161","https://openalex.org/W2055143702","https://openalex.org/W2066483531","https://openalex.org/W2078566378","https://openalex.org/W2086024425","https://openalex.org/W2089935419","https://openalex.org/W2091992858","https://openalex.org/W2099756352","https://openalex.org/W2116775748","https://openalex.org/W2118152326","https://openalex.org/W2319382212","https://openalex.org/W2331417591","https://openalex.org/W2403035479","https://openalex.org/W2482182218","https://openalex.org/W2489822048","https://openalex.org/W2492510464","https://openalex.org/W2531699496","https://openalex.org/W2802739963","https://openalex.org/W2971150730","https://openalex.org/W4249667877","https://openalex.org/W4253792321","https://openalex.org/W4256558190","https://openalex.org/W4285719527","https://openalex.org/W6605492526"],"related_works":["https://openalex.org/W4253875036","https://openalex.org/W2987350362","https://openalex.org/W1859475513","https://openalex.org/W1595431397","https://openalex.org/W594557482","https://openalex.org/W4236936620","https://openalex.org/W2380855050","https://openalex.org/W2947410019","https://openalex.org/W4236470334","https://openalex.org/W3141101133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}