{"id":"https://openalex.org/W1486168950","doi":"https://doi.org/10.1007/978-3-540-69995-8_10","title":"Recent Advances in Robust Optimization","display_name":"Recent Advances in Robust Optimization","publication_year":2007,"publication_date":"2007-08-10","ids":{"openalex":"https://openalex.org/W1486168950","doi":"https://doi.org/10.1007/978-3-540-69995-8_10","mag":"1486168950"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-69995-8_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69995-8_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210184104","display_name":"Operations research proceedings","issn_l":"0721-5924","issn":["0721-5924","2197-9294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Operations Research Proceedings","raw_type":"book-chapter"},"type":"book-chapter","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/A5045105549","display_name":"Aharon Ben\u2010Tal","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Aharon Ben-Tal","raw_affiliation_strings":["MINERVA Optimization Center, Technion, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MINERVA Optimization Center, Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045105549"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.07180934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"69","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10969","display_name":"Water resources management and optimization","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7158141136169434},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.712965726852417},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.6402888894081116},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5674849152565002},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5589221119880676},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.554705798625946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5512382984161377},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5457077622413635},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5109707117080688},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4969389736652374},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48574644327163696},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4561265707015991},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4550505578517914},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.43391168117523193},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42890557646751404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.286391019821167},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.2707139849662781},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.16851884126663208},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12608122825622559},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08978813886642456}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7158141136169434},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.712965726852417},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.6402888894081116},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5674849152565002},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5589221119880676},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.554705798625946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5512382984161377},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5457077622413635},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5109707117080688},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4969389736652374},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48574644327163696},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4561265707015991},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4550505578517914},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.43391168117523193},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42890557646751404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.286391019821167},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2707139849662781},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.16851884126663208},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12608122825622559},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08978813886642456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-69995-8_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69995-8_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210184104","display_name":"Operations research proceedings","issn_l":"0721-5924","issn":["0721-5924","2197-9294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Operations Research Proceedings","raw_type":"book-chapter"},{"id":"pmh:oai:RePEc:spr:oprchp:978-3-540-69995-8_10","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"book"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W28519790","https://openalex.org/W1593140824","https://openalex.org/W1850144107","https://openalex.org/W1964367484","https://openalex.org/W1966089657","https://openalex.org/W1968355947","https://openalex.org/W1971867652","https://openalex.org/W1972581644","https://openalex.org/W1973132297","https://openalex.org/W1976212236","https://openalex.org/W1977321908","https://openalex.org/W1977466155","https://openalex.org/W1986495770","https://openalex.org/W1988719259","https://openalex.org/W1993599556","https://openalex.org/W1999596133","https://openalex.org/W2003127720","https://openalex.org/W2003494596","https://openalex.org/W2003638804","https://openalex.org/W2004355436","https://openalex.org/W2010610835","https://openalex.org/W2023964406","https://openalex.org/W2026872208","https://openalex.org/W2033309009","https://openalex.org/W2035591608","https://openalex.org/W2037376353","https://openalex.org/W2047080695","https://openalex.org/W2066115215","https://openalex.org/W2071468246","https://openalex.org/W2072105201","https://openalex.org/W2076694117","https://openalex.org/W2078858191","https://openalex.org/W2086796343","https://openalex.org/W2089326092","https://openalex.org/W2096403613","https://openalex.org/W2103201064","https://openalex.org/W2109427113","https://openalex.org/W2113725413","https://openalex.org/W2117173631","https://openalex.org/W2118856090","https://openalex.org/W2124464788","https://openalex.org/W2131116400","https://openalex.org/W2132407640","https://openalex.org/W2136914524","https://openalex.org/W2139295077","https://openalex.org/W2145537262","https://openalex.org/W2151153868","https://openalex.org/W2152575352","https://openalex.org/W2153417333","https://openalex.org/W2155511751","https://openalex.org/W2155752597","https://openalex.org/W2156168813","https://openalex.org/W2156844203","https://openalex.org/W2167106488","https://openalex.org/W2168170446","https://openalex.org/W2170440811","https://openalex.org/W2171058919","https://openalex.org/W2181550471","https://openalex.org/W2259277249","https://openalex.org/W3121246976","https://openalex.org/W3121917333","https://openalex.org/W3123979261","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3199026565","https://openalex.org/W4323321439","https://openalex.org/W3124564720","https://openalex.org/W2126351339","https://openalex.org/W3030201206","https://openalex.org/W4381623700","https://openalex.org/W2094335236","https://openalex.org/W2317735557","https://openalex.org/W3138682964","https://openalex.org/W2175349386"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}