{"id":"https://openalex.org/W37878489","doi":"https://doi.org/10.1007/bfb0121208","title":"Stability of mixed-integer quadratic programming problems","display_name":"Stability of mixed-integer quadratic programming problems","publication_year":1984,"publication_date":"1984-01-01","ids":{"openalex":"https://openalex.org/W37878489","doi":"https://doi.org/10.1007/bfb0121208","mag":"37878489"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0121208","doi":"https://doi.org/10.1007/bfb0121208","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0121208","pdf_url":null,"source":{"id":"https://openalex.org/S4210170833","display_name":"Mathematical programming studies","issn_l":"0303-3929","issn":["0303-3929","2364-8201"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming Studies","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W592380130","display_name":"Sensitivity, Stability and Parametric Analysis"},"type":"book-chapter","is_traditional":true,"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/A5114032508","display_name":"Bernd Bank","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Bank","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin, Berlin, GDR","Humboldt Universit\u00e1t zu Berlin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin, Berlin, GDR","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Humboldt Universit\u00e1t zu Berlin","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019412254","display_name":"Rainer Hansel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rainer Hansel","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin, Berlin, GDR","Humboldt Universit\u00e1t zu Berlin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin, Berlin, GDR","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Humboldt Universit\u00e1t zu Berlin","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.7440999746322632,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.7440999746322632,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.2425999939441681,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.004000000189989805,"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/mixed-integer-quadratic-programming","display_name":"mixed-integer quadratic programming","score":0.9739999771118164},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.9200000166893005},{"id":"https://openalex.org/keywords/perturbations","display_name":"perturbations","score":0.6039999723434448},{"id":"https://openalex.org/keywords/value-function-continuity","display_name":"value function continuity","score":0.8849999904632568},{"id":"https://openalex.org/keywords/upper-semicontinuity","display_name":"upper semicontinuity","score":0.8830000162124634},{"id":"https://openalex.org/keywords/existence-theorems","display_name":"existence theorems","score":0.8629999756813049},{"id":"https://openalex.org/keywords/rational-matrices","display_name":"rational matrices","score":0.6019999980926514}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7611557245254517},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.680243730545044},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6589399576187134},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6489092707633972},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6185812950134277},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6046752333641052},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5502963066101074},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.513906717300415},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.505059540271759},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49810338020324707},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4367428719997406},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4101032018661499},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39581796526908875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35206297039985657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12888219952583313},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06649896502494812},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0121208","doi":"https://doi.org/10.1007/bfb0121208","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0121208","pdf_url":null,"source":{"id":"https://openalex.org/S4210170833","display_name":"Mathematical programming studies","issn_l":"0303-3929","issn":["0303-3929","2364-8201"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming Studies","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W306515463","https://openalex.org/W586239893","https://openalex.org/W1513869646","https://openalex.org/W1550762362","https://openalex.org/W1973012206","https://openalex.org/W1978701215","https://openalex.org/W1994325510","https://openalex.org/W2014495923","https://openalex.org/W2015126386","https://openalex.org/W2034358439","https://openalex.org/W2065323347","https://openalex.org/W2075451161","https://openalex.org/W2077136942","https://openalex.org/W2082154838","https://openalex.org/W2084572427","https://openalex.org/W2085276481","https://openalex.org/W2090839948","https://openalex.org/W2107367810","https://openalex.org/W4212979783","https://openalex.org/W4236595483","https://openalex.org/W4245545442","https://openalex.org/W4249667877","https://openalex.org/W4396960891"],"related_works":["https://openalex.org/W2034000657","https://openalex.org/W2009951615","https://openalex.org/W27584967","https://openalex.org/W2078472653","https://openalex.org/W2764535","https://openalex.org/W2053208818","https://openalex.org/W2062678963","https://openalex.org/W4242295313","https://openalex.org/W2005257463","https://openalex.org/W2034626595"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
