{"id":"https://openalex.org/W2034897700","doi":"https://doi.org/10.3390/e15093592","title":"A Discrete Meta-Control Procedure for Approximating Solutions to Binary Programs","display_name":"A Discrete Meta-Control Procedure for Approximating Solutions to Binary Programs","publication_year":2013,"publication_date":"2013-09-04","ids":{"openalex":"https://openalex.org/W2034897700","doi":"https://doi.org/10.3390/e15093592","mag":"2034897700"},"language":"en","primary_location":{"id":"doi:10.3390/e15093592","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15093592","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e15093592","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100606074","display_name":"Pengbo Zhang","orcid":"https://orcid.org/0000-0002-9296-7053"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pengbo Zhang","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109860667","display_name":"Wolf Kohn","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wolf Kohn","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056796690","display_name":"Zelda B. Zabinsky","orcid":"https://orcid.org/0000-0003-1838-4981"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zelda Zabinsky","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Washington, Seattle, WA 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109860667"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11439485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"9","first_page":"3592","last_page":"3601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9983999729156494,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9911999702453613,"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/binary-number","display_name":"Binary number","score":0.6914159655570984},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6091489195823669},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5866567492485046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4717729091644287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45008012652397156},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44816893339157104},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43824654817581177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4039190411567688},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3465166687965393}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6914159655570984},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6091489195823669},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5866567492485046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4717729091644287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45008012652397156},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44816893339157104},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43824654817581177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4039190411567688},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3465166687965393},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e15093592","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15093592","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.396.5809","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.396.5809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mdpi.com/1099-4300/15/9/3592/pdf/","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:c6fcdd3fb96a40be8232389801f8b8d2","is_oa":true,"landing_page_url":"https://doaj.org/article/c6fcdd3fb96a40be8232389801f8b8d2","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 15, Iss 9, Pp 3592-3601 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e15093592","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15093592","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W62429925","https://openalex.org/W149430354","https://openalex.org/W201597928","https://openalex.org/W379668180","https://openalex.org/W573181897","https://openalex.org/W579069454","https://openalex.org/W1502364872","https://openalex.org/W1544329015","https://openalex.org/W1566753057","https://openalex.org/W1584835303","https://openalex.org/W1762430620","https://openalex.org/W1885159080","https://openalex.org/W2000665796","https://openalex.org/W2001251925","https://openalex.org/W2019175943","https://openalex.org/W2024060531","https://openalex.org/W2098432798","https://openalex.org/W2103054960","https://openalex.org/W2124548165","https://openalex.org/W2155654110","https://openalex.org/W2166827312","https://openalex.org/W2167580124","https://openalex.org/W2336259629","https://openalex.org/W2496003535","https://openalex.org/W2496185699","https://openalex.org/W2798534591","https://openalex.org/W2988480584","https://openalex.org/W3035235874","https://openalex.org/W4245439180"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2052299349","https://openalex.org/W2355938171","https://openalex.org/W4298824844"],"abstract_inverted_index":{"Large-scale":[0],"binary":[1,12,40,54,90],"integer":[2,13,41],"programs":[3,42],"occur":[4],"frequently":[5],"in":[6,98,107],"many":[7],"real-world":[8],"applications.":[9],"For":[10],"some":[11],"problems,":[14],"finding":[15],"an":[16,84,88],"optimal":[17,89],"solution":[18,23],"or":[19],"even":[20],"a":[21,32,58,63,70,94,112],"feasible":[22],"is":[24,47],"computationally":[25],"expensive.":[26],"In":[27],"this":[28],"paper,":[29],"we":[30],"develop":[31],"discrete":[33],"meta-control":[34],"procedure":[35],"to":[36,48,93,120],"approximately":[37],"solve":[38],"large-scale":[39],"efficiently.":[43,80],"The":[44],"key":[45],"idea":[46],"map":[49],"the":[50,122,125],"vector":[51],"of":[52,124],"n":[53],"decision":[55],"variables":[56],"into":[57],"scalar":[59],"function":[60],"defined":[61],"over":[62],"time":[64],"interval":[65],"[0;":[66],"n]":[67],"and":[68],"construct":[69],"linear":[71],"quadratic":[72],"tracking":[73],"(LQT)":[74],"problem":[75],"that":[76,83],"can":[77,104],"be":[78],"solved":[79],"We":[81],"prove":[82],"LQT":[85,102],"formulation":[86],"has":[87],"solution,":[91],"analogous":[92],"classical":[95],"bang-bang":[96],"control":[97],"continuous":[99],"time.":[100],"Our":[101],"approach":[103],"provide":[105],"advantages":[106],"reducing":[108],"computation":[109],"while":[110],"generating":[111],"good":[113],"approximate":[114],"solution.":[115],"Numerical":[116],"examples":[117],"are":[118],"presented":[119],"demonstrate":[121],"usefulness":[123],"proposed":[126],"method.":[127]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
