{"id":"https://openalex.org/W7138856495","doi":"https://doi.org/10.48550/arxiv.2603.16841","title":"Typical models of the distribution system restoration process","display_name":"Typical models of the distribution system restoration process","publication_year":2026,"publication_date":"2026-03-17","ids":{"openalex":"https://openalex.org/W7138856495","doi":"https://doi.org/10.48550/arxiv.2603.16841"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.16841","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.16841","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.16841","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125503038","display_name":"Arslan Ahmad","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ahmad, Arslan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129796558","display_name":"Ian Dobson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dobson, Ian","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5125503038"],"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.7297999858856201,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10454","display_name":"Optimal Power Flow Distribution","score":0.7297999858856201,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11941","display_name":"Power System Reliability and Maintenance","score":0.16349999606609344,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10305","display_name":"Power System Optimization and Stability","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/probabilistic-logic","display_name":"Probabilistic logic","score":0.7218999862670898},{"id":"https://openalex.org/keywords/resilience","display_name":"Resilience (materials science)","score":0.6542999744415283},{"id":"https://openalex.org/keywords/duration","display_name":"Duration (music)","score":0.5741000175476074},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5041000247001648},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4839000105857849},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4652000069618225},{"id":"https://openalex.org/keywords/log-normal-distribution","display_name":"Log-normal distribution","score":0.42160001397132874},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.4203000068664551}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7218999862670898},{"id":"https://openalex.org/C2779585090","wikidata":"https://www.wikidata.org/wiki/Q3457762","display_name":"Resilience (materials science)","level":2,"score":0.6542999744415283},{"id":"https://openalex.org/C112758219","wikidata":"https://www.wikidata.org/wiki/Q16038819","display_name":"Duration (music)","level":2,"score":0.5741000175476074},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5041000247001648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5040000081062317},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4839000105857849},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C151620405","wikidata":"https://www.wikidata.org/wiki/Q826116","display_name":"Log-normal distribution","level":2,"score":0.42160001397132874},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.39500001072883606},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3849000036716461},{"id":"https://openalex.org/C101104100","wikidata":"https://www.wikidata.org/wiki/Q1063540","display_name":"Heteroscedasticity","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3506999909877777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3328000009059906},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.3100999891757965},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.2831000089645386},{"id":"https://openalex.org/C79495835","wikidata":"https://www.wikidata.org/wiki/Q5520315","display_name":"Gamma process","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25619998574256897},{"id":"https://openalex.org/C149717495","wikidata":"https://www.wikidata.org/wiki/Q117806","display_name":"Gamma distribution","level":2,"score":0.25429999828338623}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.16841","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.16841","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.16841","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.16841","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"probabilistic":[1,28,127],"modeling":[2],"of":[3,19,30],"the":[4,31,55,64,72],"power":[5],"system":[6],"restoration":[7,32,43,52],"process":[8,33,91],"is":[9,75,85,103],"essential":[10],"for":[11,67,80,110,123],"resilience":[12,20,131],"planning,":[13],"operational":[14],"decision-making,":[15],"and":[16,54,71,112,130],"realistic":[17],"simulation":[18],"events.":[21,82,114],"In":[22],"this":[23],"work,":[24],"we":[25],"develop":[26],"data-driven":[27],"models":[29,117],"using":[34],"outage":[35],"data":[36],"from":[37],"four":[38],"distribution":[39,62,74],"utilities.":[40],"We":[41],"decompose":[42],"into":[44],"three":[45],"components:":[46],"normalized":[47],"restore":[48,68,102],"time":[49,56,69,99],"progression,":[50,70],"total":[51],"duration,":[53],"to":[57,100],"first":[58,101],"restore.":[59],"The":[60,98],"Beta":[61],"provides":[63],"best-pooled":[65],"fit":[66],"Uniform":[73],"a":[76,88,107],"defensible,":[77],"parsimonious":[78],"approximation":[79],"many":[81],"Total":[83],"duration":[84,128],"modeled":[86],"as":[87],"heteroskedastic":[89],"Lognormal":[90],"that":[92,133],"scales":[93],"superlinearly":[94],"with":[95],"event":[96],"size.":[97],"well":[104],"described":[105],"by":[106],"Gamma":[108],"model":[109,122],"moderate":[111],"large":[113],"Together,":[115],"these":[116],"provide":[118],"an":[119],"end-to-end":[120],"stochastic":[121],"Monte":[124],"Carlo":[125],"simulation,":[126],"forecasting,":[129],"planning":[132],"moves":[134],"beyond":[135],"summary":[136],"statistics,":[137],"enabling":[138],"uncertainty-aware":[139],"decision":[140],"support":[141],"grounded":[142],"in":[143],"utility":[144],"data.":[145]},"counts_by_year":[],"updated_date":"2026-03-20T20:54:20.808490","created_date":"2026-03-20T00:00:00"}
