{"id":"https://openalex.org/W2220830788","doi":"https://doi.org/10.1007/s11590-015-0990-4","title":"Ordered median problem with demand distribution weights","display_name":"Ordered median problem with demand distribution weights","publication_year":2015,"publication_date":"2015-12-28","ids":{"openalex":"https://openalex.org/W2220830788","doi":"https://doi.org/10.1007/s11590-015-0990-4","mag":"2220830788"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-015-0990-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-015-0990-4","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11590-015-0990-4.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs11590-015-0990-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011898882","display_name":"W\u0142odzimierz Ogryczak","orcid":"https://orcid.org/0000-0002-3923-4053"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"W\u0142odzimierz Ogryczak","raw_affiliation_strings":["Institute of Control and Computation Engineering, Warsaw University of Technology, Nowowiejska 15/19, Warsaw, 00-665, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, Warsaw University of Technology, Nowowiejska 15/19, Warsaw, 00-665, Poland","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036443628","display_name":"Pawe\u0142 Olender","orcid":"https://orcid.org/0000-0001-9771-8243"},"institutions":[{"id":"https://openalex.org/I4210125529","display_name":"National Institute of Telecommunications","ror":"https://ror.org/03053v606","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210125529"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Olender","raw_affiliation_strings":["National Institute of Telecommunications, Szachowa 1, Warsaw, 04-894, Poland"],"affiliations":[{"raw_affiliation_string":"National Institute of Telecommunications, Szachowa 1, Warsaw, 04-894, Poland","institution_ids":["https://openalex.org/I4210125529"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011898882"],"corresponding_institution_ids":["https://openalex.org/I108403487"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":3.3095,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92125984,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"5","first_page":"1071","last_page":"1086"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9947999715805054,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.741241455078125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6610069274902344},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6319780945777893},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6117960810661316},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6103913187980652},{"id":"https://openalex.org/keywords/weighted-arithmetic-mean","display_name":"Weighted arithmetic mean","score":0.4836958050727844},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4439978003501892},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4395586848258972},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4100003242492676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30481046438217163},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3016643524169922},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20819953083992004},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14481204748153687}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.741241455078125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6610069274902344},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6319780945777893},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6117960810661316},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6103913187980652},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.4836958050727844},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4439978003501892},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4395586848258972},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4100003242492676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30481046438217163},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3016643524169922},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20819953083992004},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14481204748153687},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-015-0990-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-015-0990-4","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11590-015-0990-4.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11590-015-0990-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-015-0990-4","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11590-015-0990-4.pdf","source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2220830788.pdf","grobid_xml":"https://content.openalex.org/works/W2220830788.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W189057205","https://openalex.org/W190159342","https://openalex.org/W627161083","https://openalex.org/W1482186473","https://openalex.org/W1543569861","https://openalex.org/W1886227359","https://openalex.org/W1985672722","https://openalex.org/W1992605846","https://openalex.org/W1999144796","https://openalex.org/W2016198794","https://openalex.org/W2031441101","https://openalex.org/W2037708723","https://openalex.org/W2046330573","https://openalex.org/W2049967755","https://openalex.org/W2050546572","https://openalex.org/W2057347157","https://openalex.org/W2060907774","https://openalex.org/W2062735332","https://openalex.org/W2067018671","https://openalex.org/W2074934805","https://openalex.org/W2081754091","https://openalex.org/W2089615703","https://openalex.org/W2090682885","https://openalex.org/W2093675250","https://openalex.org/W2107274838","https://openalex.org/W2127859636","https://openalex.org/W2150338193","https://openalex.org/W2153320256","https://openalex.org/W2322961073","https://openalex.org/W2477302469","https://openalex.org/W2606195968","https://openalex.org/W4234428741","https://openalex.org/W6628849155"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2108418243","https://openalex.org/W2127804977","https://openalex.org/W164103134","https://openalex.org/W1963087247","https://openalex.org/W1510486627","https://openalex.org/W1533346389"],"abstract_inverted_index":{"The":[0],"ordered":[1,20,32,67,145,173],"median":[2,68,124,146,174],"function":[3],"unifies":[4],"and":[5,168],"generalizes":[6],"most":[7],"common":[8],"objective":[9,198],"functions":[10],"used":[11,37],"in":[12,38,208],"location":[13,39,52],"theory.":[14],"It":[15,105],"is":[16,106],"based":[17],"on":[18],"the":[19,26,31,43,51,63,80,84,101,109,122,129,133,138,144,151,155,160,171,180,184,196,205,209],"weighted":[21,111,123,172],"averaging":[22],"(OWA)":[23],"operator":[24],"with":[25,128,150,199],"preference":[27,139,152,201],"weights":[28,35,94,131,153,182,202],"allocated":[29],"to":[30,41,59,91,108],"distances.":[33,104],"Demand":[34],"are":[36],"problems":[40],"express":[42],"client":[44],"demand":[45,64,93,130,161,181],"for":[46,193,215],"a":[47],"service":[48],"thus":[49,203],"defining":[50],"decision":[53],"output":[54],"as":[55,118,141,143],"distances":[56,88,116],"distributed":[57],"according":[58],"measures":[60],"defined":[61,127,149],"by":[62,76,95],"weights.":[65],"Typical":[66],"model":[69],"allows":[70],"weighting":[71],"of":[72,79,87,103,115,135,157,170,195],"several":[73],"clients":[74,98],"only":[75],"straightforward":[77],"rescaling":[78,96],"distance":[81],"values.":[82],"However,":[83],"OWA":[85,112],"aggregation":[86,114,186],"enables":[89],"us":[90],"introduce":[92],"accordingly":[97],"measure":[99],"within":[100],"distribution":[102],"equivalent":[107],"so-called":[110],"(WOWA)":[113],"covering":[117],"special":[119],"cases":[120],"both":[121],"solution":[125,147],"concept":[126,148],"(in":[132,154],"case":[134,156],"equal":[136,158],"all":[137,159],"weights),":[140],"well":[142],"weights).":[162],"This":[163],"paper":[164],"studies":[165],"basic":[166],"models":[167,214],"properties":[169],"problem":[175],"(WOMP)":[176],"taking":[177],"into":[178],"account":[179],"following":[183],"WOWA":[185,197,217],"rules.":[187],"Linear":[188],"programming":[189],"formulations":[190],"were":[191],"introduced":[192],"optimization":[194],"monotonic":[200],"representing":[204],"equitable":[206],"preferences":[207],"WOMP.":[210],"We":[211],"show":[212],"MILP":[213],"general":[216],"optimization.":[218]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
