{"id":"https://openalex.org/W1996313212","doi":"https://doi.org/10.1109/focs.2012.65","title":"Online Matching with Stochastic Rewards","display_name":"Online Matching with Stochastic Rewards","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W1996313212","doi":"https://doi.org/10.1109/focs.2012.65","mag":"1996313212"},"language":"en","primary_location":{"id":"doi:10.1109/focs.2012.65","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2012.65","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 53rd Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-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/A5075894805","display_name":"Aranyak Mehta","orcid":"https://orcid.org/0000-0002-6132-4901"},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aranyak Mehta","raw_affiliation_strings":["Google Research, Mountain View, CA, USA","Google Research, Mountain View, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Google Research, Mountain View, CA, USA","institution_ids":["https://openalex.org/I1291425158"]},{"raw_affiliation_string":"Google Research, Mountain View, CA, USA#TAB#","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087182068","display_name":"Debmalya Panigrahi","orcid":"https://orcid.org/0000-0003-1799-6660"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Debmalya Panigrahi","raw_affiliation_strings":["Microsoft Research, Redmond, WA, USA","[Microsoft Research,Redmond,WA,USA]"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"[Microsoft Research,Redmond,WA,USA]","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075894805"],"corresponding_institution_ids":["https://openalex.org/I1291425158"],"apc_list":null,"apc_paid":null,"fwci":4.8428,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.95147093,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"728","last_page":"737"},"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":0.9911999702453613,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9855999946594238,"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/online-algorithm","display_name":"Online algorithm","score":0.7749791145324707},{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.7510846257209778},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.7480001449584961},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.63703453540802},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6322943568229675},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5667848587036133},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5539320707321167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5475288033485413},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49956607818603516},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.49377474188804626},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.4635879695415497},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.38652554154396057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27402418851852417},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2177254855632782}],"concepts":[{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.7749791145324707},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.7510846257209778},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.7480001449584961},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.63703453540802},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6322943568229675},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5667848587036133},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5539320707321167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5475288033485413},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49956607818603516},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.49377474188804626},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.4635879695415497},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.38652554154396057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27402418851852417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2177254855632782},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/focs.2012.65","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs.2012.65","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 53rd Annual Symposium on Foundations of Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.308.856","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.308.856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://static.googleusercontent.com/external_content/untrusted_dlcp/research.google.com/en/us/pubs/archive/40363.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1496647032","https://openalex.org/W1525162419","https://openalex.org/W1542279226","https://openalex.org/W1605455774","https://openalex.org/W1788659242","https://openalex.org/W1985942708","https://openalex.org/W1996837595","https://openalex.org/W2006618115","https://openalex.org/W2011730242","https://openalex.org/W2041025394","https://openalex.org/W2052494364","https://openalex.org/W2068637807","https://openalex.org/W2079669094","https://openalex.org/W2085938855","https://openalex.org/W2104224720","https://openalex.org/W2113207452","https://openalex.org/W2115435070","https://openalex.org/W2131951207","https://openalex.org/W2136765140","https://openalex.org/W2162656786","https://openalex.org/W2170675255","https://openalex.org/W2398690976","https://openalex.org/W2571343094","https://openalex.org/W2896902984","https://openalex.org/W2951077615","https://openalex.org/W2951400471","https://openalex.org/W4240196045","https://openalex.org/W4299379997","https://openalex.org/W6631320962","https://openalex.org/W6646604022","https://openalex.org/W6651881828","https://openalex.org/W6653197670","https://openalex.org/W6712662495","https://openalex.org/W7075708666"],"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/W2281909915","https://openalex.org/W2950466654"],"abstract_inverted_index":{"The":[0],"online":[1,72,109,193],"matching":[2,73,194],"problem":[3,74,88,123,184],"has":[4,90],"received":[5],"significant":[6],"attention":[7],"in":[8,18,84,101],"recent":[9],"years":[10],"because":[11],"of":[12,36,45,50,108,164],"its":[13],"connections":[14,92],"to":[15,32,41,93,128],"allocation":[16,52],"problems":[17],"Internet":[19],"advertising,":[20],"crowd-sourcing,":[21],"etc.":[22],"In":[23],"these":[24],"real-world":[25],"applications,":[26,66],"the":[27,34,43,61,71,79,94,106,119,144,161,174,180,191],"typical":[28],"goal":[29],"is":[30,40,53,185],"not":[31],"maximize":[33,42],"number":[35,44],"allocations,":[37,47],"rather":[38],"it":[39],"successful":[46],"where":[48],"success":[49],"an":[51,157],"governed":[54],"by":[55,155],"a":[56,115,139],"stochastic":[57,76,98,110],"process":[58],"which":[59,142],"follows":[60],"allocation.":[62],"To":[63],"address":[64],"such":[65],"we":[67,151],"propose":[68],"and":[69,133],"study":[70,107],"with":[75],"rewards":[77],"(called":[78],"ONLINE":[80,120,181],"STOCHASTIC":[81,121,182],"MATCHING":[82,122,183],"problem)":[83],"this":[85,168],"paper.":[86],"Our":[87],"also":[89,137],"close":[91],"existing":[95],"literature":[96],"on":[97,160],"packing":[99,111],"problems,":[100],"fact,":[102],"our":[103,153],"work":[104],"initiates":[105],"problems.":[112],"We":[113,136],"give":[114,138],"deterministic":[116,145],"algorithm":[117,141,146,166],"for":[118,131,147,167,179,190],"whose":[124],"competitive":[125,162,177],"ratio":[126,163,178],"converges":[127],"(approximately)":[129],"0.567":[130],"uniform":[132],"vanishing":[134],"probabilities.":[135,149],"randomized":[140],"outperforms":[143],"higher":[148],"Finally,":[150],"complement":[152],"algorithms":[154],"giving":[156],"upper":[158],"bound":[159],"any":[165],"problem.":[169,195],"This":[170],"result":[171],"shows":[172],"that":[173,189],"best":[175],"achievable":[176],"provably":[186],"worse":[187],"than":[188],"(non-stochastic)":[192]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
