{"id":"https://openalex.org/W2074922957","doi":"https://doi.org/10.1057/palgrave.jors.2601962","title":"Solving the uncapacitated multi-facility Weber problem by vector quantization and self-organizing maps","display_name":"Solving the uncapacitated multi-facility Weber problem by vector quantization and self-organizing maps","publication_year":2005,"publication_date":"2005-06-06","ids":{"openalex":"https://openalex.org/W2074922957","doi":"https://doi.org/10.1057/palgrave.jors.2601962","mag":"2074922957"},"language":"en","primary_location":{"id":"doi:10.1057/palgrave.jors.2601962","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601962","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","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/A5019313653","display_name":"Necati Aras","orcid":"https://orcid.org/0000-0002-1485-730X"},"institutions":[{"id":"https://openalex.org/I4405392","display_name":"Bo\u011fazi\u00e7i University","ror":"https://ror.org/03z9tma90","country_code":"TR","type":"education","lineage":["https://openalex.org/I4405392"]},{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"N Aras","raw_affiliation_strings":["Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey"],"affiliations":[{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","institution_ids":["https://openalex.org/I4405392","https://openalex.org/I134235054"]},{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey","institution_ids":["https://openalex.org/I4405392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014932163","display_name":"Kerem Can \u00d6zk\u0131sac\u0131k","orcid":null},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]},{"id":"https://openalex.org/I4405392","display_name":"Bo\u011fazi\u00e7i University","ror":"https://ror.org/03z9tma90","country_code":"TR","type":"education","lineage":["https://openalex.org/I4405392"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"K C \u00d6zk\u0131sac\u0131k","raw_affiliation_strings":["Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey"],"affiliations":[{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","institution_ids":["https://openalex.org/I4405392","https://openalex.org/I134235054"]},{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey","institution_ids":["https://openalex.org/I4405392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007676827","display_name":"\u0130. Kuban Alt\u0131nel","orcid":"https://orcid.org/0000-0003-1119-8844"},"institutions":[{"id":"https://openalex.org/I4405392","display_name":"Bo\u011fazi\u00e7i University","ror":"https://ror.org/03z9tma90","country_code":"TR","type":"education","lineage":["https://openalex.org/I4405392"]},{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u0130 K Alt\u0131nel","raw_affiliation_strings":["Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey"],"affiliations":[{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University\r\u0130stanbul\rTurkey","institution_ids":["https://openalex.org/I4405392","https://openalex.org/I134235054"]},{"raw_affiliation_string":"Industrial Engineering DepartmentBo\u011fazi\u00e7i University \u0130stanbul Turkey","institution_ids":["https://openalex.org/I4405392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019313653"],"corresponding_institution_ids":["https://openalex.org/I134235054","https://openalex.org/I4405392"],"apc_list":null,"apc_paid":null,"fwci":0.8812,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.7617777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"57","issue":"1","first_page":"82","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9775999784469604,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9761000275611877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.6422135829925537},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.5799081325531006},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5478397011756897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5440305471420288},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.5421728491783142},{"id":"https://openalex.org/keywords/project-management","display_name":"Project management","score":0.5035991072654724},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.44648292660713196},{"id":"https://openalex.org/keywords/self-organizing-map","display_name":"Self-organizing map","score":0.4408533573150635},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4292057752609253},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.41852307319641113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3139829635620117},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25363096594810486},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.2350650131702423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2315332591533661},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13155800104141235},{"id":"https://openalex.org/keywords/management","display_name":"Management","score":0.10599029064178467}],"concepts":[{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.6422135829925537},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.5799081325531006},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5478397011756897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5440305471420288},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.5421728491783142},{"id":"https://openalex.org/C15952604","wikidata":"https://www.wikidata.org/wiki/Q179012","display_name":"Project management","level":2,"score":0.5035991072654724},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.44648292660713196},{"id":"https://openalex.org/C111168008","wikidata":"https://www.wikidata.org/wiki/Q1136838","display_name":"Self-organizing map","level":3,"score":0.4408533573150635},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4292057752609253},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.41852307319641113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3139829635620117},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25363096594810486},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.2350650131702423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2315332591533661},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13155800104141235},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.10599029064178467},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1057/palgrave.jors.2601962","is_oa":false,"landing_page_url":"https://doi.org/10.1057/palgrave.jors.2601962","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:pal:jorsoc:v:57:y:2006:i:1:d:10.1057_palgrave.jors.2601962","is_oa":false,"landing_page_url":"http://link.springer.com/10.1057/palgrave.jors.2601962","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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1679913846","https://openalex.org/W1965212759","https://openalex.org/W1981280806","https://openalex.org/W1991912455","https://openalex.org/W1993450447","https://openalex.org/W2002046762","https://openalex.org/W2007747699","https://openalex.org/W2019162816","https://openalex.org/W2022109498","https://openalex.org/W2028552829","https://openalex.org/W2033320243","https://openalex.org/W2036597065","https://openalex.org/W2056119974","https://openalex.org/W2060223209","https://openalex.org/W2066379670","https://openalex.org/W2073594330","https://openalex.org/W2082734757","https://openalex.org/W2133962824","https://openalex.org/W2134383396","https://openalex.org/W2135662653","https://openalex.org/W2171499897","https://openalex.org/W2268928757","https://openalex.org/W2743592110","https://openalex.org/W2795679194","https://openalex.org/W2798065807","https://openalex.org/W3111753423","https://openalex.org/W4213332169","https://openalex.org/W4255474869"],"related_works":["https://openalex.org/W2034551444","https://openalex.org/W2023416609","https://openalex.org/W1844640764","https://openalex.org/W2051216975","https://openalex.org/W2982550593","https://openalex.org/W2144077772","https://openalex.org/W2978573861","https://openalex.org/W926742521","https://openalex.org/W2106346348","https://openalex.org/W3209251257"],"abstract_inverted_index":{"The":[0,53],"uncapacitated":[1],"multi-facility":[2],"Weber":[3],"problem":[4,36,54,127],"is":[5,32,128],"concerned":[6],"with":[7,25],"locating":[8],"m":[9],"facilities":[10,24,70],"in":[11,121,131,156],"the":[12,17,26,60,66,69,76,92,95,107,126,134,146,152,159],"Euclidean":[13,79,119,137],"plane":[14],"and":[15,37,46,71,78,81,86,136,162],"allocating":[16],"demands":[18],"of":[19,94,133,158],"n":[20],"customers":[21],"to":[22,39,64,98],"these":[23],"minimum":[27],"total":[28],"transportation":[29],"cost.":[30],"This":[31],"a":[33,43],"non-convex":[34],"optimization":[35],"difficult":[38],"solve":[40],"exactly.":[41],"As":[42],"consequence,":[44],"efficient":[45],"accurate":[47],"heuristic":[48],"solution":[49,160],"procedures":[50],"are":[51,149],"needed.":[52],"has":[55],"different":[56,105],"types":[57],"based":[58],"on":[59,75,141],"distance":[61,67,96],"function":[62,97],"used":[63],"model":[65],"between":[68],"customers.":[72],"We":[73],"concentrate":[74],"rectilinear":[77,135],"problems":[80],"propose":[82],"new":[83,147],"vector":[84],"quantization":[85],"self-organizing":[87],"map":[88],"algorithms.":[89],"They":[90],"incorporate":[91],"properties":[93],"their":[99,122],"update":[100],"rules,":[101],"which":[102],"makes":[103],"them":[104],"from":[106],"existing":[108,153],"two":[109],"neural":[110],"network":[111],"methods":[112,148],"that":[113,145],"use":[114],"rather":[115],"ad":[116],"hoc":[117],"squared":[118],"metric":[120],"updates":[123],"even":[124],"though":[125],"originally":[129],"stated":[130],"terms":[132,157],"distances.":[138],"Computational":[139],"results":[140],"benchmark":[142],"instances":[143],"indicate":[144],"better":[150],"than":[151],"ones,":[154],"both":[155],"quality":[161],"computation":[163],"time.":[164]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}