{"id":"https://openalex.org/W7214994840","doi":"https://doi.org/10.48550/arxiv.2609.36361","title":"Distance flexibility in spatial matching: the value of concentration","display_name":"Distance flexibility in spatial matching: the value of concentration","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214994840","doi":"https://doi.org/10.48550/arxiv.2609.36361"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.36361","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36361","pdf_url":"https://arxiv.org/pdf/2609.36361","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.36361","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123539922","display_name":"Taha Ameen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ameen, Taha","raw_affiliation_strings":["Computer Science Department , Carnegie Mellon University , Pittsburgh PA , USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department , Carnegie Mellon University , Pittsburgh PA , USA,","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003754623","display_name":"Sophie H. Yu","orcid":"https://orcid.org/0000-0003-4484-7468","observed_orcids":["https://orcid.org/0000-0003-4484-7468"]},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu, Sophie H.","raw_affiliation_strings":["Computer Science Department , Carnegie Mellon University , Pittsburgh PA , USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department , Carnegie Mellon University , Pittsburgh PA , USA,","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.6333000063896179,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.6333000063896179,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.09889999777078629,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.059700001031160355,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/supply-flexibility","display_name":"supply flexibility","score":0.574999988079071},{"id":"https://openalex.org/keywords/majorization","display_name":"majorization","score":0.7480000257492065},{"id":"https://openalex.org/keywords/budget-allocation","display_name":"budget allocation","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.7010999917984009},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6474999785423279},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6111000180244446},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5217000246047974},{"id":"https://openalex.org/C3020013979","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimal allocation","level":2,"score":0.5027999877929688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4401000142097473},{"id":"https://openalex.org/C2778212267","wikidata":"https://www.wikidata.org/wiki/Q6664764","display_name":"Location-allocation","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C8505890","wikidata":"https://www.wikidata.org/wiki/Q605095","display_name":"Budget constraint","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.35670000314712524},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.35019999742507935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35010001063346863},{"id":"https://openalex.org/C180518391","wikidata":"https://www.wikidata.org/wiki/Q355217","display_name":"Time allocation","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C120330832","wikidata":"https://www.wikidata.org/wiki/Q166656","display_name":"Supply and demand","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3057999908924103},{"id":"https://openalex.org/C181889124","wikidata":"https://www.wikidata.org/wiki/Q380204","display_name":"Service level","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.29899999499320984},{"id":"https://openalex.org/C2985733770","wikidata":"https://www.wikidata.org/wiki/Q1233007","display_name":"Travel time","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.29679998755455017}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.36361","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36361","pdf_url":"https://arxiv.org/pdf/2609.36361","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"doi:10.48550/arxiv.2609.36361","doi":"https://doi.org/10.48550/arxiv.2609.36361","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.36361","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.36361","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36361","pdf_url":"https://arxiv.org/pdf/2609.36361","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214994840.pdf","grobid_xml":"https://content.openalex.org/works/W7214994840.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7125159978","https://openalex.org/W7222921149","https://openalex.org/W3210606733","https://openalex.org/W4285089627","https://openalex.org/W4408099793","https://openalex.org/W3160488647","https://openalex.org/W4300514769","https://openalex.org/W2376126225","https://openalex.org/W7214077195","https://openalex.org/W4400937042"],"abstract_inverted_index":{"In":[0,23],"spatial":[1],"matching":[2],"markets,":[3],"a":[4,31,43,74,106,114],"supply":[5,39,55],"unit's":[6],"flexibility":[7],"is":[8,110,123],"measured":[9],"by":[10,139],"its":[11],"service":[12,35],"radius,":[13],"the":[14,38,60,64,71,79,94,120,134,140],"maximum":[15],"distance":[16],"at":[17],"which":[18],"it":[19],"can":[20],"serve":[21],"demand.":[22,67],"dimensions":[24],"$k":[25],"\\geq":[26],"2$,":[27],"we":[28],"study":[29],"how":[30],"platform":[32,49],"should":[33],"allocate":[34],"radii":[36],"among":[37],"nodes":[40],"subject":[41],"to":[42],"budget":[44],"on":[45,78],"their":[46],"sum.":[47],"The":[48],"makes":[50],"this":[51,126],"choice":[52],"before":[53],"observing":[54],"and":[56,117],"demand":[57],"locations,":[58],"with":[59],"objective":[61],"of":[62,73,96],"maximizing":[63],"expected":[65],"fulfilled":[66],"We":[68,103],"show":[69,118],"that":[70,89,109,119],"shape":[72],"preferred":[75],"allocation":[76,108,122,136],"depends":[77],"total":[80],"budget:":[81],"under":[82],"suitable":[83],"conditions,":[84],"large":[85],"budgets":[86,100],"favor":[87,101],"allocations":[88],"are":[90],"more":[91],"uniform":[92,121],"in":[93,125,143],"sense":[95],"majorization,":[97],"while":[98],"small":[99],"concentration.":[102],"also":[104],"characterize":[105],"non-uniform":[107],"asymptotically":[111],"optimal":[112],"for":[113,133],"very-sparse":[115],"regime,":[116],"suboptimal":[124],"regime.":[127],"Our":[128],"results":[129],"provide":[130],"theoretical":[131],"explanations":[132],"radius":[135],"questions":[137],"raised":[138],"numerical":[141],"experiments":[142],"[ASY26b].":[144]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-01T00:00:00"}
