{"id":"https://openalex.org/W7225271664","doi":"https://doi.org/10.48550/arxiv.2611.04896","title":"On the Convexity of Common Resource Adequacy and Capacity Accreditation Metrics","display_name":"On the Convexity of Common Resource Adequacy and Capacity Accreditation Metrics","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225271664","doi":"https://doi.org/10.48550/arxiv.2611.04896"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2611.04896","doi":"https://doi.org/10.48550/arxiv.2611.04896","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.04896","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2611.04896","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001545764","display_name":"Gord Stephen","orcid":"https://orcid.org/0000-0002-1619-5151","observed_orcids":["https://orcid.org/0000-0002-1619-5151"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stephen, Gord","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5001545764"],"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/T10424","display_name":"Electric Power System Optimization","score":0.9458000063896179,"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/T10424","display_name":"Electric Power System Optimization","score":0.9458000063896179,"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":0.05249999836087227,"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/T11185","display_name":"Integrated Energy Systems Optimization","score":0.0008999999845400453,"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/power-system-adequacy","display_name":"power system adequacy","score":0.9240000247955322},{"id":"https://openalex.org/keywords/convexity","display_name":"convexity","score":0.8270000219345093},{"id":"https://openalex.org/keywords/expected-unserved-energy","display_name":"expected unserved energy","score":0.8550000190734863},{"id":"https://openalex.org/keywords/effective-load-carrying-capability","display_name":"effective load carrying capability","score":0.9819999933242798},{"id":"https://openalex.org/keywords/loss-of-load-expectation","display_name":"loss of load expectation","score":0.9729999899864197},{"id":"https://openalex.org/keywords/capacity-expansion-planning","display_name":"capacity expansion planning","score":0.8619999885559082},{"id":"https://openalex.org/keywords/non-convexity","display_name":"non-convexity","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.746999979019165},{"id":"https://openalex.org/C2780821815","wikidata":"https://www.wikidata.org/wiki/Q5340806","display_name":"Portfolio","level":2,"score":0.5954999923706055},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5159000158309937},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5009999871253967},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4860999882221222},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.46799999475479126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4465000033378601},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38269999623298645},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3589000105857849},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.3521000146865845},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3384999930858612},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33070001006126404},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C9725762","wikidata":"https://www.wikidata.org/wiki/Q1072885","display_name":"Modern portfolio theory","level":3,"score":0.2994999885559082},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.29440000653266907},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.2630999982357025},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.25690001249313354},{"id":"https://openalex.org/C2781007418","wikidata":"https://www.wikidata.org/wiki/Q1456934","display_name":"Capacity planning","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2611.04896","doi":"https://doi.org/10.48550/arxiv.2611.04896","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.04896","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":"doi:10.48550/arxiv.2611.04896","doi":"https://doi.org/10.48550/arxiv.2611.04896","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.04896","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"},"sustainable_development_goals":[{"score":0.4575999975204468,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7126354114","https://openalex.org/W7165743583","https://openalex.org/W7126276554","https://openalex.org/W2142624611","https://openalex.org/W4404391827","https://openalex.org/W4310632859","https://openalex.org/W4402437048","https://openalex.org/W7084970250","https://openalex.org/W4211059432","https://openalex.org/W2063106437"],"abstract_inverted_index":{"Many":[0],"emerging":[1],"capacity":[2,18],"expansion":[3,80],"optimization":[4],"formulations":[5],"implicitly":[6],"presume":[7],"the":[8,35],"convexity":[9],"(or":[10,17],"concavity)":[11],"of":[12],"power":[13],"system":[14],"adequacy":[15],"risk":[16],"accreditation)":[19],"metrics.":[20],"These":[21],"assumptions":[22],"have":[23],"yet":[24],"to":[25,77],"be":[26],"formally":[27],"justified.":[28],"We":[29],"present":[30],"concise":[31],"mathematical":[32],"proofs":[33],"validating":[34],"claim":[36,76],"for":[37,54],"certain":[38],"metrics":[39,67],"(expected":[40],"unserved":[41],"energy":[42],"and":[43,58,73],"effective":[44],"load":[45],"carrying":[46],"capability),":[47],"but":[48],"also":[49],"provide":[50],"simple":[51],"invalidating":[52],"counterexamples":[53],"others":[55],"(loss-of-load":[56],"expectation":[57],"equivalent":[59],"firm":[60],"capacity).":[61],"Formulations":[62],"built":[63],"on":[64],"non-convex":[65],"(non-concave)":[66],"structurally":[68],"undervalue":[69],"candidate":[70],"portfolio":[71],"adequacy,":[72],"so":[74],"cannot":[75],"produce":[78],"least-cost":[79],"plans.":[81]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}
