{"id":"https://openalex.org/W2765644918","doi":"https://doi.org/10.1051/ita/2017009","title":"A Better bound of randomized algorithms for the multislope ski-rental problem","display_name":"A Better bound of randomized algorithms for the multislope ski-rental problem","publication_year":2017,"publication_date":"2017-04-01","ids":{"openalex":"https://openalex.org/W2765644918","doi":"https://doi.org/10.1051/ita/2017009","mag":"2765644918"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2017009","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2017009","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ita/2017009.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009229682","display_name":"Maolin Hu","orcid":"https://orcid.org/0000-0003-4149-0539"},"institutions":[{"id":"https://openalex.org/I4210147117","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147117"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Maolin Hu","raw_affiliation_strings":["School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China","institution_ids":["https://openalex.org/I4210147117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107869068","display_name":"Weijun Xu","orcid":"https://orcid.org/0000-0003-3392-2143"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weijun Xu","raw_affiliation_strings":["School of Business Administration, South China University of Technology, Guangzhou 510641, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, South China University of Technology, Guangzhou 510641, P.R. China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009229682"],"corresponding_institution_ids":["https://openalex.org/I4210147117"],"apc_list":null,"apc_paid":null,"fwci":0.6216,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72965334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"51","issue":"2","first_page":"91","last_page":"98"},"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/T11182","display_name":"Auction Theory and Applications","score":0.9976000189781189,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5873209834098816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5136803984642029},{"id":"https://openalex.org/keywords/renting","display_name":"Renting","score":0.4912094473838806},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4797840714454651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3425025939941406},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08516481518745422}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5873209834098816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5136803984642029},{"id":"https://openalex.org/C85502023","wikidata":"https://www.wikidata.org/wiki/Q157171","display_name":"Renting","level":2,"score":0.4912094473838806},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4797840714454651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3425025939941406},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08516481518745422},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","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":2,"locations":[{"id":"doi:10.1051/ita/2017009","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2017009","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:ITA_2017__51_2_91_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ita/2017009/","pdf_url":"https://www.numdam.org/item/10.1051/ita/2017009.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":{"id":"pmh:oai:numdam.org:ITA_2017__51_2_91_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ita/2017009/","pdf_url":"https://www.numdam.org/item/10.1051/ita/2017009.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8856084205","display_name":null,"funder_award_id":"71471065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G938846339","display_name":null,"funder_award_id":"2012ZZ0035","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2765644918.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1531947739","https://openalex.org/W1969864023","https://openalex.org/W2011670396","https://openalex.org/W2035051184","https://openalex.org/W2038736391","https://openalex.org/W2055097058","https://openalex.org/W2055319984","https://openalex.org/W2065768493","https://openalex.org/W3023405701","https://openalex.org/W3137684744"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"The":[0],"multislope":[1,89],"ski-rental":[2,10],"problem":[3,75],"is":[4],"an":[5,73],"extension":[6],"of":[7,68],"the":[8,13,22,29,50,62,69,87,95],"classical":[9],"problem,":[11,92],"where":[12],"player":[14],"has":[15],"several":[16],"lease":[17],"options":[18],"in":[19,76],"addition":[20],"to":[21,104],"pure":[23],"rent":[24],"and":[25,35,93],"buy":[26],"options.":[27],"For":[28],"additive":[30,88],"general":[31],"model,":[32],"Lotker,":[33],"Patt-Shamir":[34],"Rawitz":[36],"[in:":[37],"SIAM":[38],"J.":[39],"Discr.":[40],"Math.":[41],"26":[42],"(2012)":[43],"718\u2013736]":[44],"obtained":[45],"a":[46,58,66],"randomized":[47,84],"algorithm":[48,85],"with":[49],"competitive":[51,63,96],"ratio":[52,97],"bounded":[53],"by":[54,100],".":[55,105],"However,":[56],"obtaining":[57],"better":[59],"bound":[60,98],"on":[61],"factor":[64],"as":[65],"function":[67],"slopes":[70],"parameters":[71],"remains":[72],"open":[74],"their":[77],"paper.":[78],"In":[79],"this":[80],"paper,":[81],"we":[82],"study":[83],"for":[86],"ski":[90],"rental":[91],"extend":[94],"proposed":[99],"Lotker":[101],"et":[102],"al.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}