{"id":"https://openalex.org/W4408067943","doi":"https://doi.org/10.1007/s00453-025-01299-8","title":"Online Metric Matching on the Line with Recourse","display_name":"Online Metric Matching on the Line with Recourse","publication_year":2025,"publication_date":"2025-03-01","ids":{"openalex":"https://openalex.org/W4408067943","doi":"https://doi.org/10.1007/s00453-025-01299-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-025-01299-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01299-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01299-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01299-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073490534","display_name":"Nicole Megow","orcid":"https://orcid.org/0000-0002-3531-7644"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Nicole Megow","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003931310","display_name":"Lukas N\u00f6lke","orcid":"https://orcid.org/0000-0003-0523-0668"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lukas N\u00f6lke","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073490534"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03935824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"87","issue":"6","first_page":"813","last_page":"841"},"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/T11478","display_name":"Caching and Content Delivery","score":0.9932000041007996,"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/T11106","display_name":"Data Management and Algorithms","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/theory-of-computation","display_name":"Theory of computation","score":0.6930727958679199},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5635620951652527},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5223718285560608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.504240870475769},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.44501882791519165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38571038842201233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38095393776893616},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.359682559967041},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3472188711166382},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3305809497833252},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10423001646995544},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10383808612823486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10044786334037781}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6930727958679199},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5635620951652527},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5223718285560608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.504240870475769},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.44501882791519165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38571038842201233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38095393776893616},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.359682559967041},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3472188711166382},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3305809497833252},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10423001646995544},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10383808612823486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10044786334037781},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-025-01299-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01299-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01299-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00453-025-01299-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01299-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01299-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324729","display_name":"Universit\u00e4t Bremen","ror":"https://ror.org/04ers2y35"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408067943.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W181346458","https://openalex.org/W1501694180","https://openalex.org/W1978382073","https://openalex.org/W2029437526","https://openalex.org/W2036268824","https://openalex.org/W2047281923","https://openalex.org/W2051294918","https://openalex.org/W2093101813","https://openalex.org/W2093153678","https://openalex.org/W2155096670","https://openalex.org/W2162656786","https://openalex.org/W2222512263","https://openalex.org/W2259315298","https://openalex.org/W2469267808","https://openalex.org/W2768304016","https://openalex.org/W2910480949","https://openalex.org/W2964121702","https://openalex.org/W2974337481","https://openalex.org/W3122422288","https://openalex.org/W4247154108","https://openalex.org/W4247656554"],"related_works":["https://openalex.org/W1972035260","https://openalex.org/W2064563243","https://openalex.org/W4250775169","https://openalex.org/W4301594054","https://openalex.org/W2794488505","https://openalex.org/W4309231192","https://openalex.org/W3125889879","https://openalex.org/W3124422538","https://openalex.org/W2295467472","https://openalex.org/W2097909533"],"abstract_inverted_index":{"Abstract":[0],"In":[1,101,127],"online":[2,53,113,132,164,283],"metric":[3,165,179],"matching":[4,166,180],"on":[5,30,167],"the":[6,31,39,44,78,106,121,130,168,174,291],"line,":[7],"n":[8],"requests":[9,45],"appear":[10],"one":[11,13,172,192],"by":[12],"and":[14,20,46,224],"have":[15],"to":[16,22,37,77,129,278],"be":[17,116],"matched":[18,125],"immediately":[19],"irrevocably":[21],"a":[23,56,75,109,200,206,255,279],"given":[24],"set":[25],"of":[26,41,59,82,123,142,173,258,282],"servers,":[27,197],"all":[28,286],"located":[29],"real":[32],"line.":[33,169],"The":[34,50],"goal":[35],"is":[36,171,210,251],"minimize":[38],"sum":[40],"distances":[42],"between":[43,195],"their":[47],"assigned":[48],"servers.":[49],"best":[51],"known":[52],"algorithm":[54,162,208],"achieves":[55],"competitive":[57],"ratio":[58],"$$\\Theta":[60],"(\\log":[61,260],"n)$$":[62,144,261],"<mml:math":[63,86,145,213,232,262],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[64,87,146,214,233,263],"<mml:mrow>":[65,88,92,147,215,234,264],"<mml:mi>\u0398</mml:mi>":[66],"<mml:mo>(</mml:mo>":[67,90,149,216,236,266],"<mml:mo>log</mml:mo>":[68,93,150,267],"<mml:mi>n</mml:mi>":[69,94,151,268],"<mml:mo>)</mml:mo>":[70,97,152,220,244,269],"</mml:mrow>":[71,95,98,153,221,245,270],"</mml:math>":[72,99,154,222,246,271],",":[73,155,272],"leaving":[74],"gap":[76],"best-known":[79],"lower":[80,256],"bound":[81,257],"$$\\Omega":[83,259],"(\\sqrt{\\log":[84],"n})$$":[85],"<mml:mi>\u03a9</mml:mi>":[89,265],"<mml:msqrt>":[91],"</mml:msqrt>":[96],".":[100],"this":[102],"work,":[103],"we":[104,134,156,198,204],"approach":[105],"problem":[107],"in":[108,290],"recourse":[110,140],"model":[111],"where":[112,188],"decisions":[114],"can":[115,157],"partially":[117],"revised,":[118],"allowing":[119],"for":[120,163,178,184],"reassignment":[122],"previously":[124],"edges.":[126],"contrast":[128],"traditional":[131],"setting,":[133],"show":[135],"that":[136,209],"with":[137,181],"an":[138,159],"amortized":[139],"budget":[141],"$$O(\\log":[143],"<mml:mi>O</mml:mi>":[148,235],"obtain":[158],"O":[160],"(1)-competitive":[161],"This":[170,248],"first":[175],"non-trivial":[176],"results":[177],"recourse.":[182],"Additionally,":[183],"so-called":[185],"alternating":[186],"instances,":[187,276],"no":[189],"more":[190],"than":[191],"request":[193,227],"lies":[194],"two":[196],"achieve":[199],"near-optimal":[201],"result.":[202],"Specifically,":[203],"give":[205],"simple":[207],"$$(1+\\varepsilon":[211],")$$":[212],"<mml:mn>1</mml:mn>":[217,238],"<mml:mo>+</mml:mo>":[218],"<mml:mi>\u03b5</mml:mi>":[219,240],"-competitive":[223],"reassigns":[225],"any":[226],"at":[228],"most":[229],"$$O(\\frac{1}{\\varepsilon":[230],"^2})$$":[231],"<mml:mfrac>":[237],"<mml:msup>":[239],"<mml:mn>2</mml:mn>":[241],"</mml:msup>":[242],"</mml:mfrac>":[243],"times.":[247],"special":[249],"case":[250],"particularly":[252],"noteworthy,":[253],"as":[254],"constructed":[273],"using":[274],"such":[275],"applies":[277],"broad":[280],"class":[281],"algorithms,":[284],"including":[285],"deterministic":[287],"algorithms":[288],"studied":[289],"literature.":[292]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
