{"id":"https://openalex.org/W1863013115","doi":"https://doi.org/10.1145/2854153","title":"A Constant Factor Approximation Algorithm for Fault-Tolerant <i>k</i> -Median","display_name":"A Constant Factor Approximation Algorithm for Fault-Tolerant <i>k</i> -Median","publication_year":2016,"publication_date":"2016-04-25","ids":{"openalex":"https://openalex.org/W1863013115","doi":"https://doi.org/10.1145/2854153","mag":"1863013115"},"language":"en","primary_location":{"id":"doi:10.1145/2854153","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2854153","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5111876448","display_name":"MohammadTaghi Hajiaghayi","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammadtaghi Hajiaghayi","raw_affiliation_strings":["University of Maryland at College Park, Maryland, USA"],"affiliations":[{"raw_affiliation_string":"University of Maryland at College Park, Maryland, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062139991","display_name":"Wei Hu","orcid":"https://orcid.org/0000-0002-9735-1012"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Hu","raw_affiliation_strings":["Tsinghua University, China","#N##TAB##TAB##TAB##TAB# Tsinghua University, China#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Tsinghua University, China#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101938872","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-4650-3925"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["Tsinghua University, China","#N##TAB##TAB##TAB##TAB# Tsinghua University, China#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Tsinghua University, China#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100430766","display_name":"Shi Li","orcid":"https://orcid.org/0000-0001-9140-9415"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shi Li","raw_affiliation_strings":["University at Buffalo, New York, USA"],"affiliations":[{"raw_affiliation_string":"University at Buffalo, New York, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110611660","display_name":"Barna Saha","orcid":null},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barna Saha","raw_affiliation_strings":["University of Massachusetts Amherst, Massachusetts, USA"],"affiliations":[{"raw_affiliation_string":"University of Massachusetts Amherst, Massachusetts, USA","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111876448"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":2.8875,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.913936,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"12","issue":"3","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998999834060669,"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":0.9998999834060669,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.96670001745224,"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/T12288","display_name":"Optimization and Search Problems","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6867002844810486},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.686078667640686},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6591755151748657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6150022745132446},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5713380575180054},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.561453640460968},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.4560520648956299},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45320749282836914},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4492468237876892},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43952205777168274},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.41797149181365967},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39220476150512695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36653217673301697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29631608724594116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11402121186256409},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06369736790657043}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6867002844810486},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.686078667640686},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6591755151748657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6150022745132446},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5713380575180054},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.561453640460968},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.4560520648956299},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45320749282836914},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4492468237876892},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43952205777168274},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.41797149181365967},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39220476150512695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36653217673301697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29631608724594116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11402121186256409},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06369736790657043},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","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/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2854153","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2854153","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6907088065","display_name":null,"funder_award_id":"2015CB358700, 2011CBA00300 and 2011CBA00301","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W169553655","https://openalex.org/W1508746608","https://openalex.org/W1516429886","https://openalex.org/W1558598144","https://openalex.org/W1559577696","https://openalex.org/W1891203375","https://openalex.org/W1915670320","https://openalex.org/W1927951443","https://openalex.org/W1967391655","https://openalex.org/W1978117135","https://openalex.org/W1984187188","https://openalex.org/W1984628625","https://openalex.org/W1987503114","https://openalex.org/W1991407520","https://openalex.org/W2010410498","https://openalex.org/W2016332468","https://openalex.org/W2018238867","https://openalex.org/W2022708950","https://openalex.org/W2023936492","https://openalex.org/W2030016043","https://openalex.org/W2033647570","https://openalex.org/W2041571997","https://openalex.org/W2052494364","https://openalex.org/W2076746184","https://openalex.org/W2082353536","https://openalex.org/W2085751730","https://openalex.org/W2090879820","https://openalex.org/W2091505820","https://openalex.org/W2102815056","https://openalex.org/W2112539464","https://openalex.org/W2122821895","https://openalex.org/W2139841919","https://openalex.org/W2144926522","https://openalex.org/W2147086810","https://openalex.org/W2154044080","https://openalex.org/W2165420145","https://openalex.org/W2177090493","https://openalex.org/W2198153110","https://openalex.org/W2395976569","https://openalex.org/W2596841574","https://openalex.org/W2762633139","https://openalex.org/W2911502905","https://openalex.org/W2988480584","https://openalex.org/W3100218344"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W2165143308","https://openalex.org/W2319821665","https://openalex.org/W2049792449","https://openalex.org/W1967767358","https://openalex.org/W2139348078","https://openalex.org/W986251431","https://openalex.org/W2503798035","https://openalex.org/W563727013"],"abstract_inverted_index":{"In":[0,20,108],"this":[1],"article,":[2],"we":[3,110],"consider":[4,143],"the":[5,12,21,25,53,59,64,69,87,96,105,112,118,132,144,151,165],"fault-tolerant":[6,22,119,145],"k":[7,27,65,77,120],"-median":[8,28,66,121],"problem":[9,122],"and":[10,63,98],"give":[11,170],"first":[13,113],"constant":[14,81,173],"factor":[15,82,174],"approximation":[16,100,175],"algorithm":[17,116],"for":[18,86,104,117,184],"it.":[19],"generalization":[23],"of":[24,50,55,71,154,161],"classical":[26],"problem,":[29,148],"each":[30],"client":[31],"j":[32,41,51,61,93,155,167],"needs":[33],"to":[34,37,58,74,164],"be":[35,157],"assigned":[36],"at":[38,75],"least":[39],"r":[40,60,92,166],"\u2a7e":[42],"1":[43],"distinct":[44],"open":[45,72],"facilities.":[46,168],"The":[47],"service":[48,152],"cost":[49,153],"is":[52],"sum":[54,160],"its":[56,162],"distances":[57],"facilities,":[62],"constraint":[67],"restricts":[68],"number":[70],"facilities":[73],"most":[76],".":[78],"Previously,":[79],"a":[80,124,158,171],"was":[83,102],"known":[84,103],"only":[85,183],"special":[88],"case":[89],"when":[90],"all":[91],"s":[94],"are":[95],"same,":[97],"alogarithmic":[99],"ratio":[101],"general":[106],"case.":[107],"addition,":[109],"present":[111],"polynomial":[114],"time":[115],"on":[123],"path":[125],"or":[126],"an":[127,137],"HST":[128],"by":[129],"showing":[130],"that":[131,181],"corresponding":[133],"LP":[134],"always":[135],"has":[136],"integral":[138],"optimal":[139],"solution.":[140],"We":[141,169],"also":[142],"facility":[146],"location":[147],"in":[149],"which":[150],"can":[156],"weighted":[159],"distance":[163],"simple":[172],"algorithm,":[176],"generalizing":[177],"several":[178],"previous":[179],"results":[180],"work":[182],"nonincreasing":[185],"weight":[186],"vectors.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
