{"id":"https://openalex.org/W7161160290","doi":"https://doi.org/10.48550/arxiv.2605.12812","title":"Time and Supply Fairness in Electricity Distribution using $k$-times bin packing","display_name":"Time and Supply Fairness in Electricity Distribution using $k$-times bin packing","publication_year":2026,"publication_date":"2026-05-12","ids":{"openalex":"https://openalex.org/W7161160290","doi":"https://doi.org/10.48550/arxiv.2605.12812"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.12812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.12812","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,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.12812","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089178249","display_name":"Dinesh Kumar Baghel","orcid":"https://orcid.org/0000-0001-8518-7908"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baghel, Dinesh Kumar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106960825","display_name":"Alex Ravsky","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ravsky, Alex","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085873807","display_name":"Erel Segal-Halevi","orcid":"https://orcid.org/0000-0002-7497-5834"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Segal-Halevi, Erel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12176","display_name":"Optimization and Packing Problems","score":0.22439999878406525,"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"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.22439999878406525,"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"}},{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.06849999725818634,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.06040000170469284,"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/impossibility","display_name":"Impossibility","score":0.8421000242233276},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.739300012588501},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6057999730110168},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.5665000081062317},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.5411999821662903},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.4853000044822693},{"id":"https://openalex.org/keywords/bin-packing-problem","display_name":"Bin packing problem","score":0.462799996137619},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.39980000257492065}],"concepts":[{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.8421000242233276},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.739300012588501},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6517000198364258},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6057999730110168},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.5665000081062317},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.5411999821662903},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.4853000044822693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47119998931884766},{"id":"https://openalex.org/C87219788","wikidata":"https://www.wikidata.org/wiki/Q814581","display_name":"Bin packing problem","level":3,"score":0.462799996137619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40470001101493835},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C184773241","wikidata":"https://www.wikidata.org/wiki/Q387400","display_name":"Mains electricity","level":3,"score":0.3337000012397766},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3294000029563904},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.25940001010894775}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.12812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.12812","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,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.12812","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.12812","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,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Given":[0],"items":[1,17,56],"of":[2,22,28,92,136,141,175,179,186,201,228,246,282,297],"different":[3,67,238],"sizes":[4,31],"and":[5,79,144,152],"a":[6,42,205,220,266,285],"fixed":[7],"bin":[8,34],"capacity,":[9],"the":[10,19,26,29,38,50,55,90,99,110,134,142,170,176,187,193,198,226,243,251,255,271],"bin-packing":[11,46,75,125,147],"problem":[12,88,119,172],"is":[13,52,96,195],"to":[14,53,76,97,149,155,169,196,204,235,241,259],"pack":[15,54],"these":[16],"into":[18],"minimum":[20,199,256,281],"number":[21,135,200,227],"bins":[23],"such":[24,108,219],"that":[25,58,115,162,222,269],"sum":[27],"item":[30,60],"in":[32,48,65,173,191,262],"each":[33,59,263],"does":[35,216],"not":[36,217],"exceed":[37],"capacity.":[39],"We":[40,69,113,138,160,182,249],"define":[41],"new":[43,292],"variant,":[44,209],"k-times":[45,124],"(kBP),":[47],"which":[49,130,192],"goal":[51,95,194],"so":[57],"appears":[61],"exactly":[62],"k":[63,66,221],"times":[64],"bins.":[68],"generalize":[70],"existing":[71,166],"approximation":[72],"algorithms":[73,148,240],"for":[74,126,294],"solve":[77,150,242],"kBP":[78,151],"analyze":[80],"their":[81],"performance":[82],"ratios.":[83],"The":[84,94],"fair":[85,295],"electricity":[86,117,157],"division":[87,118],"motivates":[89,233],"study":[91,183],"kBP.":[93],"allocate":[98],"available":[100],"supply":[101],"among":[102],"households":[103],"using":[104],"some":[105,127],"fairness":[106,267],"criteria,":[107],"as":[109],"egalitarian":[111,177,188,244],"principle.":[112],"prove":[114,211],"every":[116],"can":[120],"be":[121],"solved":[122],"by":[123,253],"finite":[128],"k,":[129],"depends":[131,223],"only":[132,224],"on":[133,225],"households.":[137],"implement":[139],"generalizations":[140,164],"First-Fit":[143,145],"Decreasing":[146],"apply":[153],"them":[154],"real":[156],"demand":[158],"data.":[159],"show":[161],"our":[163],"outperform":[165],"heuristic":[167,239],"solutions":[168],"same":[171],"terms":[174],"allocation":[178,189,245,274,296],"connection":[180],"time.":[181],"another":[184],"variant":[185],"problem,":[190],"maximize":[197],"watts":[202,247,257,283],"allocated":[203,258],"household.":[206],"For":[207],"this":[208],"we":[210,290],"an":[212],"impossibility":[213,231],"result:":[214],"there":[215],"exist":[218],"agents.":[229],"This":[230],"result":[232],"us":[234],"develop":[236],"four":[237],"problem.":[248],"evaluate":[250],"heuristics":[252],"summing":[254],"any":[260],"household":[261],"hour,":[264],"yielding":[265],"metric":[268],"reflects":[270],"lowest":[272],"watt":[273],"across":[275],"all":[276],"hours.":[277],"A":[278],"higher":[279],"total":[280],"indicates":[284],"more":[286],"equitable":[287],"distribution.":[288],"Thus,":[289],"establish":[291],"benchmarks":[293],"watts.":[298]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-15T00:00:00"}
