{"id":"https://openalex.org/W3072599312","doi":"https://doi.org/10.1142/s1793830921501561","title":"Competitive analysis for two variants of online metric matching problem","display_name":"Competitive analysis for two variants of online metric matching problem","publication_year":2021,"publication_date":"2021-07-10","ids":{"openalex":"https://openalex.org/W3072599312","doi":"https://doi.org/10.1142/s1793830921501561","mag":"3072599312"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921501561","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501561","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2433/276424","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073609577","display_name":"Toshiya Itoh","orcid":"https://orcid.org/0000-0002-1149-7046"},"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":"Toshiya Itoh","raw_affiliation_strings":["Department of Mathematical and Computing Science, Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Science, Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101641045","display_name":"Shuichi Miyazaki","orcid":"https://orcid.org/0000-0003-0369-1970"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shuichi Miyazaki","raw_affiliation_strings":["Academic Center for Computing and Media Studies, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan"],"raw_orcid":"https://orcid.org/0000-0003-0369-1970","affiliations":[{"raw_affiliation_string":"Academic Center for Computing and Media Studies, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016204784","display_name":"Makoto Satake","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Makoto Satake","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073609577"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":1.1209,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78283155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"06","first_page":"486","last_page":"498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9699000120162964,"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/T11182","display_name":"Auction Theory and Applications","score":0.9424999952316284,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.8405497074127197},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.66063392162323},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6410000324249268},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.6289875507354736},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5869996547698975},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5699071288108826},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5375959277153015},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5068092942237854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49042388796806335},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4448186457157135},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.44231465458869934},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.41064319014549255},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3551124334335327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29573020339012146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25750184059143066},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09195524454116821}],"concepts":[{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.8405497074127197},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.66063392162323},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6410000324249268},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6289875507354736},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5869996547698975},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5699071288108826},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5375959277153015},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5068092942237854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49042388796806335},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4448186457157135},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.44231465458869934},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.41064319014549255},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3551124334335327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29573020339012146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25750184059143066},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09195524454116821},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s1793830921501561","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501561","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0005589563","is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/276424","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal article"},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0004776908","is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/261774","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Combinatorial Optimization and Applications","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0005589563","is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/276424","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6703594460","display_name":null,"funder_award_id":"JP20K11677","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8078840112","display_name":null,"funder_award_id":"JP16K00017","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W181346458","https://openalex.org/W1525987715","https://openalex.org/W1587434700","https://openalex.org/W1978382073","https://openalex.org/W2041645394","https://openalex.org/W2077182069","https://openalex.org/W2093153678","https://openalex.org/W2136300662","https://openalex.org/W2162656786","https://openalex.org/W2176174872","https://openalex.org/W2183531780","https://openalex.org/W2225844283","https://openalex.org/W2295274877","https://openalex.org/W2572141964","https://openalex.org/W2607151438","https://openalex.org/W2768304016","https://openalex.org/W2788593858","https://openalex.org/W2962989976","https://openalex.org/W2963149936","https://openalex.org/W2963621431","https://openalex.org/W2964121702","https://openalex.org/W4237102200","https://openalex.org/W4242517206","https://openalex.org/W4245807026","https://openalex.org/W4247154108"],"related_works":["https://openalex.org/W4213299358","https://openalex.org/W2564742953","https://openalex.org/W2793095688","https://openalex.org/W1623410360","https://openalex.org/W3115340459","https://openalex.org/W2950803469","https://openalex.org/W2583614279","https://openalex.org/W2004975914","https://openalex.org/W2109659895","https://openalex.org/W1930615501"],"abstract_inverted_index":{"In":[0,39,135],"the":[1,36,50,86,107,127,138,144,149,157,172,180,196,212],"online":[2,23,51,113,128],"metric":[3,12,52,139],"matching":[4,53],"problem,":[5,137],"there":[6],"are":[7,16,156],"servers":[8,145,155],"on":[9,132,211],"a":[10,59,81,133,142],"given":[11,17],"space":[13,140],"and":[14,31,148,182,227,241],"requests":[15],"one-by-one.":[18],"The":[19,55,123],"task":[20],"of":[21,35,49,68,89,110,174],"an":[22],"algorithm":[24,84,101,114],"is":[25,58,64,72,102,119,126,141,171,203],"to":[26],"match":[27],"each":[28,62],"request":[29],"immediately":[30],"irrevocably":[32],"with":[33],"one":[34,67],"unused":[37],"servers.":[38,175],"this":[40,99,136,161],"paper,":[41],"we":[42],"pursue":[43],"competitive":[44,87,108,197,213],"analysis":[45],"for":[46,91,115,185,191,199,234],"two":[47,69,153],"variants":[48],"problem.":[54],"first":[56,177],"variant":[57,125],"restriction":[60],"where":[61,167],"server":[63],"placed":[65],"at":[66,120],"positions,":[70],"which":[71],"denoted":[73],"by":[74,104,163],"OMM([Formula:":[75,92,116,186],"see":[76,93,117,165,169,187,193,201,216,219,222,225,229,232,236,239,243],"text]).":[77,94],"We":[78,95,159,176,206],"show":[79,97,208],"that":[80,98,106,179],"simple":[82],"greedy":[83,100],"achieves":[85],"ratio":[88,109,198,214],"3":[90],"also":[96,189],"optimal":[103],"showing":[105],"any":[111,152],"deterministic":[112],"text])":[118,188,202,240],"least":[121],"3.":[122,205],"second":[124],"facility":[129],"assignment":[130],"problem":[131,162],"line.":[134],"line,":[143],"have":[146],"capacities,":[147],"distances":[150],"between":[151],"consecutive":[154],"same.":[158],"denote":[160],"OFAL([Formula:":[164,192,200,235,238,242],"text]),":[166,194,237,244],"[Formula:":[168,215,218,221,224,228,231],"text]":[170,217,223,226,230,233],"number":[173],"observe":[178],"upper":[181],"lower":[183,209],"bounds":[184,210],"hold":[190],"so":[195],"exactly":[204],"then":[207],"text],":[220],"respectively.":[245]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}