{"id":"https://openalex.org/W2184047134","doi":"https://doi.org/10.1109/acc.2016.7526551","title":"A simple effective heuristic for embedded mixed-integer quadratic programming","display_name":"A simple effective heuristic for embedded mixed-integer quadratic programming","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2184047134","doi":"https://doi.org/10.1109/acc.2016.7526551","mag":"2184047134"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7526551","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526551","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-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/A5039534736","display_name":"Reza Takapoui","orcid":null},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]},{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE","KR"],"is_corresponding":false,"raw_author_name":"Reza Takapoui","raw_affiliation_strings":["Department of Radiologic Science, Korea University, Seoul, Korea","Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiologic Science, Korea University, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102991668","display_name":"Nicholas Moehle","orcid":"https://orcid.org/0000-0003-2640-8859"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]},{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE","KR"],"is_corresponding":false,"raw_author_name":"Nicholas Moehle","raw_affiliation_strings":["Department of Radiologic Science, Korea University, Seoul, Korea","Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiologic Science, Korea University, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011176205","display_name":"Stephen Boyd","orcid":"https://orcid.org/0000-0001-8353-6000"},"institutions":[{"id":"https://openalex.org/I130701412","display_name":"Yuriy Fedkovych Chernivtsi National University","ror":"https://ror.org/044n25186","country_code":"UA","type":"education","lineage":["https://openalex.org/I130701412"]},{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE","UA"],"is_corresponding":false,"raw_author_name":"Stephen Boyd","raw_affiliation_strings":["Chernivtsi National University, Chernivtsi, Ukraine","Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chernivtsi National University, Chernivtsi, Ukraine","institution_ids":["https://openalex.org/I130701412"]},{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Secure Mobile Networking Lab (SEEMOO)","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053340099","display_name":"Alberto Bemporad","orcid":"https://orcid.org/0000-0001-6761-0856"},"institutions":[{"id":"https://openalex.org/I4210096308","display_name":"Institute of Materials for Electronics and Magnetism","ror":"https://ror.org/00z8ws214","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210096308","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE","IT"],"is_corresponding":false,"raw_author_name":"Alberto Bemporad","raw_affiliation_strings":["Chair of Communication and Distributed Systems (COMSYS), RWTH Aachen University","IMEM-CNR, Parma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Communication and Distributed Systems (COMSYS), RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"IMEM-CNR, Parma, Italy","institution_ids":["https://openalex.org/I4210096308"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.279,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.99478016,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"5619","last_page":"5625"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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":0.9986000061035156,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9915000200271606,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.6856074929237366},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.5729467868804932},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.56021648645401},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5051255822181702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.495185524225235},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4882991313934326},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4631679952144623},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.458035945892334},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.45024725794792175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3776991367340088},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10336914658546448}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6856074929237366},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.5729467868804932},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.56021648645401},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5051255822181702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.495185524225235},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4882991313934326},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4631679952144623},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.458035945892334},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.45024725794792175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3776991367340088},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10336914658546448},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2016.7526551","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526551","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":136,"referenced_works":["https://openalex.org/W101730385","https://openalex.org/W130696423","https://openalex.org/W135055223","https://openalex.org/W312650087","https://openalex.org/W603782127","https://openalex.org/W1188159281","https://openalex.org/W1530724886","https://openalex.org/W1541170979","https://openalex.org/W1544593597","https://openalex.org/W1546461095","https://openalex.org/W1549918636","https://openalex.org/W1578087040","https://openalex.org/W1594264634","https://openalex.org/W1601512022","https://openalex.org/W1636965069","https://openalex.org/W1645278552","https://openalex.org/W1682665945","https://openalex.org/W1846534543","https://openalex.org/W1923817890","https://openalex.org/W1966333543","https://openalex.org/W1968143987","https://openalex.org/W1969598418","https://openalex.org/W1973012206","https://openalex.org/W1976510243","https://openalex.org/W1977284223","https://openalex.org/W1977334715","https://openalex.org/W1977832892","https://openalex.org/W1977985274","https://openalex.org/W1979255915","https://openalex.org/W1981219153","https://openalex.org/W1982452826","https://openalex.org/W1989688414","https://openalex.org/W1990615478","https://openalex.org/W1990655168","https://openalex.org/W2000051597","https://openalex.org/W2006934540","https://openalex.org/W2009260807","https://openalex.org/W2009683816","https://openalex.org/W2011339387","https://openalex.org/W2011805810","https://openalex.org/W2013176949","https://openalex.org/W2013439434","https://openalex.org/W2014328192","https://openalex.org/W2015787199","https://openalex.org/W2023604237","https://openalex.org/W2024753861","https://openalex.org/W2026514179","https://openalex.org/W2026964350","https://openalex.org/W2029460515","https://openalex.org/W2031993275","https://openalex.org/W2037551729","https://openalex.org/W2037603831","https://openalex.org/W2045079045","https://openalex.org/W2045096911","https://openalex.org/W2047297807","https://openalex.org/W2049505431","https://openalex.org/W2049670620","https://openalex.org/W2050613227","https://openalex.org/W2051762220","https://openalex.org/W2053913299","https://openalex.org/W2056950638","https://openalex.org/W2057338659","https://openalex.org/W2061670230","https://openalex.org/W2061896869","https://openalex.org/W2063106205","https://openalex.org/W2078053321","https://openalex.org/W2078675418","https://openalex.org/W2079135578","https://openalex.org/W2080263450","https://openalex.org/W2084006722","https://openalex.org/W2084572427","https://openalex.org/W2085301456","https://openalex.org/W2087572620","https://openalex.org/W2088188524","https://openalex.org/W2091227776","https://openalex.org/W2091364465","https://openalex.org/W2091531873","https://openalex.org/W2093989288","https://openalex.org/W2095695857","https://openalex.org/W2098239527","https://openalex.org/W2103005479","https://openalex.org/W2105630026","https://openalex.org/W2105887395","https://openalex.org/W2108970807","https://openalex.org/W2110050136","https://openalex.org/W2116631972","https://openalex.org/W2116773335","https://openalex.org/W2117402460","https://openalex.org/W2117915669","https://openalex.org/W2117989156","https://openalex.org/W2119316047","https://openalex.org/W2123705108","https://openalex.org/W2127022339","https://openalex.org/W2127676223","https://openalex.org/W2129516068","https://openalex.org/W2140041377","https://openalex.org/W2142631184","https://openalex.org/W2144931885","https://openalex.org/W2152817319","https://openalex.org/W2153626693","https://openalex.org/W2160648174","https://openalex.org/W2160796913","https://openalex.org/W2164278908","https://openalex.org/W2166029977","https://openalex.org/W2169666402","https://openalex.org/W2170299295","https://openalex.org/W2172226214","https://openalex.org/W2232852496","https://openalex.org/W2236834722","https://openalex.org/W2296319761","https://openalex.org/W2313629133","https://openalex.org/W2401610261","https://openalex.org/W2490340839","https://openalex.org/W2510870520","https://openalex.org/W2951002577","https://openalex.org/W2963213817","https://openalex.org/W2964120262","https://openalex.org/W3098928855","https://openalex.org/W3099831354","https://openalex.org/W3105393233","https://openalex.org/W3141222251","https://openalex.org/W4240692002","https://openalex.org/W4243317326","https://openalex.org/W4247591450","https://openalex.org/W4249512175","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W4293775970","https://openalex.org/W4301181979","https://openalex.org/W6610907965","https://openalex.org/W6632668981","https://openalex.org/W6636965304","https://openalex.org/W6672254497","https://openalex.org/W6675881135","https://openalex.org/W6679248785","https://openalex.org/W7008583937"],"related_works":["https://openalex.org/W2141418112","https://openalex.org/W2949097972","https://openalex.org/W1995409531","https://openalex.org/W4299640900","https://openalex.org/W2738565459","https://openalex.org/W3159629589","https://openalex.org/W2616059925","https://openalex.org/W2601112296","https://openalex.org/W2131259888","https://openalex.org/W4225501230"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,133],"propose":[4],"a":[5,49,109,125],"fast":[6],"optimization":[7,64],"algorithm":[8,60],"for":[9,61,95],"approximately":[10],"minimizing":[11],"convex":[12,63],"quadratic":[13,42],"functions":[14],"over":[15],"the":[16,24,52,68,141],"intersection":[17],"of":[18,27,51,56,72,108],"affine":[19],"and":[20],"separable":[21],"constraints":[22],"(i.e.,":[23],"Cartesian":[25],"product":[26],"possibly":[28],"nonconvex":[29],"real":[30],"sets).":[31],"This":[32],"problem":[33],"class":[34],"contains":[35],"many":[36,137],"NP-hard":[37],"problems":[38],"such":[39,87,105],"as":[40,88,106],"mixed-integer":[41],"programming.":[43],"Our":[44,113],"heuristic":[45],"is":[46,120],"based":[47],"on":[48,82],"variation":[50],"alternating":[53],"direction":[54],"method":[55,119],"multipliers":[57],"(ADMM),":[58],"an":[59,97],"solving":[62],"problems.":[65],"We":[66,91],"discuss":[67],"favorable":[69],"computational":[70,85],"aspects":[71],"our":[73,118],"algorithm,":[74],"which":[75,96],"allow":[76],"it":[77,139],"to":[78],"run":[79],"quickly":[80],"even":[81],"very":[83,103,121],"modest":[84],"platforms":[86],"embedded":[89],"processors.":[90],"give":[92],"several":[93],"examples":[94],"approximate":[98],"solution":[99],"should":[100],"be":[101],"found":[102],"quickly,":[104],"management":[107],"hybrid-electric":[110],"vehicle":[111],"drivetrain.":[112],"numerical":[114],"experiments":[115],"suggest":[116],"that":[117,135],"effective":[122],"in":[123,136],"finding":[124],"feasible":[126],"point":[127],"with":[128],"small":[129],"objective":[130],"value;":[131],"indeed,":[132],"see":[134],"cases,":[138],"finds":[140],"global":[142],"solution.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}