{"id":"https://openalex.org/W2015024421","doi":"https://doi.org/10.1007/bf01585169","title":"A generalized Dantzig\u2014Wolfe decomposition principle for a class of nonconvex programming problems","display_name":"A generalized Dantzig\u2014Wolfe decomposition principle for a class of nonconvex programming problems","publication_year":1993,"publication_date":"1993-02-01","ids":{"openalex":"https://openalex.org/W2015024421","doi":"https://doi.org/10.1007/bf01585169","mag":"2015024421"},"language":"en","primary_location":{"id":"doi:10.1007/bf01585169","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585169","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5041708435","display_name":"Phan Thi\u00ean Thach","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Phan Thien Thach","raw_affiliation_strings":["Institute of Human and Social Sciences, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-ku, 152, Tokyo, Japan","Institute of Human and Social Sciences, Tokyo Institute of Technology, Tokyo, Japan 152#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Human and Social Sciences, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-ku, 152, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Institute of Human and Social Sciences, Tokyo Institute of Technology, Tokyo, Japan 152#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001687718","display_name":"Hiroshi Konno","orcid":"https://orcid.org/0000-0003-4784-1483"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Konno","raw_affiliation_strings":["Institute of Human and Social Sciences, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-ku, 152, Tokyo, Japan","Institute of Human and Social Sciences, Tokyo Institute of Technology, Tokyo, Japan 152#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Human and Social Sciences, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-ku, 152, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Institute of Human and Social Sciences, Tokyo Institute of Technology, Tokyo, Japan 152#TAB#","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041708435"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0461,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75362647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"62","issue":"1-3","first_page":"239","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/mathematics","display_name":"Mathematics","score":0.8210767507553101},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6314948797225952},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5564668774604797},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5356931686401367},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5097703337669373},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5055148601531982},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4965241551399231},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4763774573802948},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.454860657453537},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4494101107120514},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4427054524421692},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.43453463912010193},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4260067343711853},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4105171859264374},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3965393304824829},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3842916488647461},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3724140524864197},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1442548632621765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09926271438598633}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8210767507553101},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6314948797225952},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5564668774604797},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5356931686401367},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5097703337669373},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5055148601531982},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4965241551399231},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4763774573802948},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.454860657453537},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4494101107120514},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4427054524421692},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.43453463912010193},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4260067343711853},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4105171859264374},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3965393304824829},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3842916488647461},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3724140524864197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1442548632621765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09926271438598633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":1,"locations":[{"id":"doi:10.1007/bf01585169","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01585169","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W2554134","https://openalex.org/W44939114","https://openalex.org/W1481747975","https://openalex.org/W1499399028","https://openalex.org/W1551360398","https://openalex.org/W1968143987","https://openalex.org/W1973431384","https://openalex.org/W1976587341","https://openalex.org/W1978701215","https://openalex.org/W1983743030","https://openalex.org/W1989711444","https://openalex.org/W1997231674","https://openalex.org/W2004203863","https://openalex.org/W2063824835","https://openalex.org/W2068913356","https://openalex.org/W2078470842","https://openalex.org/W2080279906","https://openalex.org/W2092052248","https://openalex.org/W2108175518","https://openalex.org/W2142807520","https://openalex.org/W2186273234","https://openalex.org/W2300684981","https://openalex.org/W2330056579","https://openalex.org/W2505968561","https://openalex.org/W2621270292","https://openalex.org/W4246092883","https://openalex.org/W4249667877","https://openalex.org/W6666433156"],"related_works":["https://openalex.org/W2010724422","https://openalex.org/W2325192077","https://openalex.org/W4233192371","https://openalex.org/W2016306996","https://openalex.org/W2423508375","https://openalex.org/W3216313338","https://openalex.org/W2950608892","https://openalex.org/W2000285254","https://openalex.org/W4299012739","https://openalex.org/W2963031829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
