{"id":"https://openalex.org/W2029066552","doi":"https://doi.org/10.1137/04060932x","title":"Discrete Monotonic Optimization with Application to a Discrete Location Problem","display_name":"Discrete Monotonic Optimization with Application to a Discrete Location Problem","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2029066552","doi":"https://doi.org/10.1137/04060932x","mag":"2029066552"},"language":"en","primary_location":{"id":"doi:10.1137/04060932x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/04060932x","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/A5112758614","display_name":"Ho\u00e0ng T\u1ee5y","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hoang Tuy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107422564","display_name":"Michel Minoux","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121621","display_name":"Decision Research","ror":"https://ror.org/0219m2k96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210121621"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michel Minoux","raw_affiliation_strings":["DECISION"],"affiliations":[{"raw_affiliation_string":"DECISION","institution_ids":["https://openalex.org/I4210121621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060609861","display_name":"N. T. Hoai-Phuong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. T. Hoai-Phuong","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112758614"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.3864,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.96582915,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"78","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.994700014591217,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.8170826435089111},{"id":"https://openalex.org/keywords/discrete-optimization","display_name":"Discrete optimization","score":0.7065063118934631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7021583914756775},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6908351182937622},{"id":"https://openalex.org/keywords/discrete-space","display_name":"Discrete space","score":0.55215984582901},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5147116780281067},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4993171691894531},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4934059679508209},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4697827398777008},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4569246768951416},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4203146994113922},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41542285680770874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24203500151634216},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061268121004104614}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.8170826435089111},{"id":"https://openalex.org/C145671259","wikidata":"https://www.wikidata.org/wiki/Q1493786","display_name":"Discrete optimization","level":3,"score":0.7065063118934631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7021583914756775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6908351182937622},{"id":"https://openalex.org/C153782549","wikidata":"https://www.wikidata.org/wiki/Q175116","display_name":"Discrete space","level":2,"score":0.55215984582901},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5147116780281067},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4993171691894531},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4934059679508209},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4697827398777008},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4569246768951416},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4203146994113922},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41542285680770874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24203500151634216},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061268121004104614},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/04060932x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/04060932x","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"},{"id":"pmh:oai:HAL:hal-01170401v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01170401","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Optimization, 2006, 17 (1), pp.78-97. ⟨10.1137/04060932X⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W272589075","https://openalex.org/W1507300232","https://openalex.org/W1548198155","https://openalex.org/W1558461690","https://openalex.org/W1967344706","https://openalex.org/W2002106198","https://openalex.org/W2015883438","https://openalex.org/W2034287705","https://openalex.org/W2050875740","https://openalex.org/W2066409766","https://openalex.org/W2102411698"],"related_works":["https://openalex.org/W2377155558","https://openalex.org/W1527736507","https://openalex.org/W2066714521","https://openalex.org/W2594865218","https://openalex.org/W1522025284","https://openalex.org/W2964623545","https://openalex.org/W2056774786","https://openalex.org/W161113796","https://openalex.org/W4285080375","https://openalex.org/W2543590894"],"abstract_inverted_index":{"A":[0],"general":[1],"discrete":[2,18,44,55],"optimization":[3],"problem":[4,57,68,81],"is":[5,50,59],"investigated":[6],"that":[7],"includes":[8],"integer":[9],"polynomial":[10],"programs":[11],"as":[12],"special":[13,25],"cases.":[14],"To":[15],"exploit":[16],"the":[17,48,64,79],"monotonic":[19],"structure":[20],"of":[21,27,63,69,78],"these":[22],"problems,":[23],"a":[24,39,54,61],"class":[26],"cuts":[28,31],"called":[29],"monotonicity":[30],"are":[32,74],"developed":[33],"and":[34,87],"then":[35],"adjusted":[36],"according":[37],"to":[38,42,52,84],"suitable":[40],"procedure":[41],"accommodate":[43],"requirements.":[45],"As":[46],"illustration,":[47],"method":[49],"applied":[51],"solve":[53],"location":[56],"which":[58],"also":[60],"variant":[62],"well":[65],"known":[66],"engineering":[67],"design":[70],"centering.":[71],"Computational":[72],"results":[73],"reported":[75],"for":[76],"instances":[77],"latter":[80],"with":[82],"up":[83],"100":[85],"variables":[86],"500":[88],"constraints.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}