{"id":"https://openalex.org/W2053427412","doi":"https://doi.org/10.1137/s105262349935178x","title":"On Finitely Terminating Branch-and-Bound Algorithms for Some Global Optimization Problems","display_name":"On Finitely Terminating Branch-and-Bound Algorithms for Some Global Optimization Problems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2053427412","doi":"https://doi.org/10.1137/s105262349935178x","mag":"2053427412"},"language":"en","primary_location":{"id":"doi:10.1137/s105262349935178x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349935178x","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5005148331","display_name":"Faiz Al\u2010Khayyal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Faiz A. Al-Khayyal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0544,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.79501779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"4","first_page":"1049","last_page":"1057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9965000152587891,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7591082453727722},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.6539875864982605},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5449168086051941},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5447500944137573},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5068429112434387},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4953280985355377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4831180274486542},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43889275193214417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06523025035858154},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.054821550846099854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7591082453727722},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.6539875864982605},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5449168086051941},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5447500944137573},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5068429112434387},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4953280985355377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4831180274486542},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43889275193214417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06523025035858154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.054821550846099854}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s105262349935178x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s105262349935178x","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325646","display_name":"Nepal Academy of Science and Technology","ror":"https://ror.org/00863x694"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W75157487","https://openalex.org/W1499399028","https://openalex.org/W1770820325","https://openalex.org/W1969568541","https://openalex.org/W1977733379","https://openalex.org/W2010413631","https://openalex.org/W2011757723","https://openalex.org/W2027012102","https://openalex.org/W2035396705","https://openalex.org/W2048881327","https://openalex.org/W2056580794","https://openalex.org/W2057560830","https://openalex.org/W2061703616","https://openalex.org/W2070511462","https://openalex.org/W2081600571","https://openalex.org/W2085457376","https://openalex.org/W2089656647","https://openalex.org/W2301746362","https://openalex.org/W2610216665","https://openalex.org/W2610857016","https://openalex.org/W2611147814","https://openalex.org/W3150183338","https://openalex.org/W4239256746","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2389899617","https://openalex.org/W1591098987","https://openalex.org/W1931020284","https://openalex.org/W4319942994","https://openalex.org/W2031345939","https://openalex.org/W2182290077","https://openalex.org/W2007827522","https://openalex.org/W3151690733","https://openalex.org/W1520136989","https://openalex.org/W830577611"],"abstract_inverted_index":{"Global":[0],"optimization":[1],"algorithms":[2,24],"are":[3],"typically":[4],"terminated":[5],"with":[6,32],"an":[7,33],"$\\epsilon$-approximate":[8],"solution":[9,36],"after":[10],"a":[11],"finite":[12,30],"number":[13],"of":[14],"iterations.":[15],"This":[16],"paper":[17],"shows":[18],"how":[19],"existing":[20],"infinitely":[21],"convergent":[22],"branch-and-bound":[23],"can":[25],"be":[26],"augmented":[27],"to":[28],"guarantee":[29],"termination":[31],"exact":[34],"global":[35],"for":[37],"problems":[38],"having":[39],"extreme":[40],"point":[41],"solutions.":[42]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}