{"id":"https://openalex.org/W2118565090","doi":"https://doi.org/10.1287/opre.1060.0357","title":"Note: Generalized Notions of Concavity with an Application to Capacity Management","display_name":"Note: Generalized Notions of Concavity with an Application to Capacity Management","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2118565090","doi":"https://doi.org/10.1287/opre.1060.0357","mag":"2118565090"},"language":"en","primary_location":{"id":"doi:10.1287/opre.1060.0357","doi":"https://doi.org/10.1287/opre.1060.0357","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.1060.0357","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","cwts-core","jufo-3","norway-2"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045425065","display_name":"John H. Semple","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Semple","raw_affiliation_strings":["Cox School of Business, Southern Methodist University, Fincher Building, P.O. Box 750333, Dallas, Texas 75275","Cox School of Business, Southern Methodist University, Fincher Building, P.O. Box 750333, Dallas, Texas 75275#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cox School of Business, Southern Methodist University, Fincher Building, P.O. Box 750333, Dallas, Texas 75275","institution_ids":["https://openalex.org/I178169726"]},{"raw_affiliation_string":"Cox School of Business, Southern Methodist University, Fincher Building, P.O. Box 750333, Dallas, Texas 75275#TAB#","institution_ids":["https://openalex.org/I178169726"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045425065"],"corresponding_institution_ids":["https://openalex.org/I178169726"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.27485351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"55","issue":"2","first_page":"284","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.8187999725341797,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.8187999725341797,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.05730000138282776,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.0203000009059906,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-concavity","display_name":"generalized concavity","score":0.7760000228881836},{"id":"https://openalex.org/keywords/capacity-management","display_name":"capacity management","score":0.9210000038146973},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"linear interpolation","score":0.7319999933242798},{"id":"https://openalex.org/keywords/linear-extensions","display_name":"linear extensions","score":0.7979999780654907},{"id":"https://openalex.org/keywords/optimal-policy-structure","display_name":"optimal policy structure","score":0.6850000023841858},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7761245965957642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6984891295433044},{"id":"https://openalex.org/C2781386248","wikidata":"https://www.wikidata.org/wiki/Q11898700","display_name":"Revenue management","level":3,"score":0.6164204478263855},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.582140326499939},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5550979971885681},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4884895086288452},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4501868188381195},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3404237627983093},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.32814982533454895},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1380407214164734},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.06765639781951904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06501561403274536},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/opre.1060.0357","doi":"https://doi.org/10.1287/opre.1060.0357","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.1060.0357","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","cwts-core","jufo-3","norway-2"],"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2072708368","https://openalex.org/W2111669004","https://openalex.org/W2131275591","https://openalex.org/W2191508049","https://openalex.org/W2591638063"],"related_works":["https://openalex.org/W1963479726","https://openalex.org/W2808755562","https://openalex.org/W2528408760","https://openalex.org/W2360530351","https://openalex.org/W2048050128","https://openalex.org/W2027534214","https://openalex.org/W2024645192","https://openalex.org/W2091484917","https://openalex.org/W3037345846","https://openalex.org/W1997675000"],"abstract_inverted_index":{"We":[0,26],"introduce":[1],"a":[2,73,77],"generalization":[3],"of":[4,42,59,88,95,119],"K-concavity":[5],"termed":[6],"weak":[7,29,109],"(K1,":[8,30,110],"K2)-concavity":[9,31,111],"and":[10,69,82,103],"show":[11,27,107],"how":[12],"it":[13,46,53],"can":[14],"be":[15],"used":[16],"to":[17,114],"analyze":[18],"certain":[19,57],"dynamic":[20],"systems":[21],"arising":[22],"in":[23,124],"capacity":[24,63,71,97],"management.":[25],"that":[28,36,108,125],"has":[32],"two":[33],"fundamental":[34,85],"properties":[35],"are":[37,84],"relevant":[38],"for":[39,49,56],"the":[40,89,93,96,116,120],"analysis":[41],"such":[43],"systems:":[44],"First,":[45],"is":[47,54,112],"preserved":[48,55],"linear":[50,60],"interpolations;":[51],"second,":[52],"types":[58],"extensions.":[61],"In":[62,92],"management":[64,98],"problems":[65],"where":[66],"both":[67],"buying":[68],"selling":[70],"involve":[72],"fixed":[74],"cost":[75],"plus":[76],"proportional":[78],"cost/revenue":[79],"term,":[80],"interpolations":[81],"extensions":[83],"building":[86],"blocks":[87],"optimality":[90],"analysis.":[91],"context":[94],"problem":[99],"studied":[100],"by":[101],"Ye":[102],"Duenyas":[104],"(2007),":[105],"we":[106],"sufficient":[113],"prove":[115],"general":[117],"structure":[118],"optimal":[121],"policy":[122],"established":[123],"paper.":[126]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}