{"id":"https://openalex.org/W1982917584","doi":"https://doi.org/10.1142/s1793830910000632","title":"ON THE LOWER BOUND OF THE COMPETITIVE RATIO FOR THE WEIGHTED ONLINE ROOMMATES PROBLEM","display_name":"ON THE LOWER BOUND OF THE COMPETITIVE RATIO FOR THE WEIGHTED ONLINE ROOMMATES PROBLEM","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1982917584","doi":"https://doi.org/10.1142/s1793830910000632","mag":"1982917584"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830910000632","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000632","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103793018","display_name":"Satyajit Banerjee","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101534","display_name":"Honeywell (India)","ror":"https://ror.org/017eb5121","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210101534","https://openalex.org/I82514191"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"SATYAJIT BANERJEE","raw_affiliation_strings":["Honeywell Technology Solutions, 151/1, Doraisanipalya, Bannerghatta Road, Bangalore, India-560076, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Honeywell Technology Solutions, 151/1, Doraisanipalya, Bannerghatta Road, Bangalore, India-560076, India","institution_ids":["https://openalex.org/I4210101534"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103793018"],"corresponding_institution_ids":["https://openalex.org/I4210101534"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11039365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"02","issue":"02","first_page":"257","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9972000122070312,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/competitive-analysis","display_name":"Competitive analysis","score":0.9564955234527588},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.7149869203567505},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6079807281494141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47638648748397827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3991170823574066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3969844579696655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36886560916900635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35227710008621216},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32779648900032043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.050325751304626465}],"concepts":[{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.9564955234527588},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.7149869203567505},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6079807281494141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47638648748397827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3991170823574066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3969844579696655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36886560916900635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35227710008621216},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32779648900032043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.050325751304626465}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830910000632","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000632","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2041645394","https://openalex.org/W3163474831"],"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/W4390751688"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,26],"the":[3,27,37,41,47],"best":[4,48],"possible":[5,49],"worst":[6],"case":[7],"competitive":[8,50],"ratio":[9],"of":[10,40],"any":[11],"deterministic":[12],"algorithm":[13,29],"for":[14,36],"weighted":[15,38],"online":[16,42],"roommates":[17,43],"problem":[18,44],"is":[19],"arbitrarily":[20],"close":[21],"to":[22],"4.":[23],"This":[24],"proves":[25],"4-competitive":[28],"proposed":[30],"by":[31],"Bernstein":[32],"and":[33],"Rajagopalan":[34],"[3]":[35],"version":[39],"actually":[45],"attains":[46],"ratio.":[51]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}