{"id":"https://openalex.org/W1972602629","doi":"https://doi.org/10.1007/bf01580896","title":"On stability in multiobjective programming \u2014 A stochastic approach","display_name":"On stability in multiobjective programming \u2014 A stochastic approach","publication_year":1992,"publication_date":"1992-08-01","ids":{"openalex":"https://openalex.org/W1972602629","doi":"https://doi.org/10.1007/bf01580896","mag":"1972602629"},"language":"en","primary_location":{"id":"doi:10.1007/bf01580896","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01580896","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5057990989","display_name":"Silvia Vogel","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Silvia Vogel","raw_affiliation_strings":["Technische Hochschule Ilmenau, P.O. Box 327, O-6300, Ilmenau, Germany","Technische Hochschule Ilmenau, Ilmenau, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Ilmenau, P.O. Box 327, O-6300, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]},{"raw_affiliation_string":"Technische Hochschule Ilmenau, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057990989"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.215,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93361442,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"1-3","first_page":"91","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.991599977016449,"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":0.991599977016449,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.980400025844574,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9779999852180481,"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/mathematics","display_name":"Mathematics","score":0.8270600438117981},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6555660367012024},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.5956289768218994},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5950782895088196},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5506432056427002},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.45468756556510925},{"id":"https://openalex.org/keywords/empirical-distribution-function","display_name":"Empirical distribution function","score":0.45198169350624084},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4104500114917755},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4020642042160034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1472405195236206},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1326839029788971}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8270600438117981},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6555660367012024},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.5956289768218994},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5950782895088196},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5506432056427002},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.45468756556510925},{"id":"https://openalex.org/C98385598","wikidata":"https://www.wikidata.org/wiki/Q1339385","display_name":"Empirical distribution function","level":2,"score":0.45198169350624084},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4104500114917755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4020642042160034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1472405195236206},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1326839029788971},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01580896","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01580896","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:www.db-thueringen.de:dbt_mods_00034355","is_oa":false,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2018300019","pdf_url":null,"source":{"id":"https://openalex.org/S4306400120","display_name":"Common Library Network (Der Gemeinsame Bibliotheksverbund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210149878","host_organization_name":"Verbundzentrale des GBV","host_organization_lineage":["https://openalex.org/I4210149878"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W83927172","https://openalex.org/W187611100","https://openalex.org/W290023117","https://openalex.org/W1513869646","https://openalex.org/W1531856058","https://openalex.org/W1565930531","https://openalex.org/W1572204513","https://openalex.org/W1738394416","https://openalex.org/W1975049860","https://openalex.org/W1975557085","https://openalex.org/W1977567128","https://openalex.org/W1980271923","https://openalex.org/W1983023065","https://openalex.org/W1983092535","https://openalex.org/W1988529207","https://openalex.org/W2017034590","https://openalex.org/W2030652436","https://openalex.org/W2032196347","https://openalex.org/W2035023005","https://openalex.org/W2042763219","https://openalex.org/W2048225885","https://openalex.org/W2065201130","https://openalex.org/W2066483531","https://openalex.org/W2077157458","https://openalex.org/W2079472287","https://openalex.org/W2086024425","https://openalex.org/W2087233288","https://openalex.org/W2089935419","https://openalex.org/W2103012681","https://openalex.org/W2156260808","https://openalex.org/W2161438841","https://openalex.org/W2379710765","https://openalex.org/W2802620382","https://openalex.org/W2912091644","https://openalex.org/W4213346713","https://openalex.org/W4233413206","https://openalex.org/W4237360683","https://openalex.org/W4285719527","https://openalex.org/W4298380944"],"related_works":["https://openalex.org/W2013082111","https://openalex.org/W2022313577","https://openalex.org/W1991516674","https://openalex.org/W2098278475","https://openalex.org/W2965214198","https://openalex.org/W2274880047","https://openalex.org/W4386188047","https://openalex.org/W2115104939","https://openalex.org/W3125370515","https://openalex.org/W2140127692"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
