{"id":"https://openalex.org/W2026024271","doi":"https://doi.org/10.1137/1035002","title":"The Warranty Problem: Its Statistical and Game-Theoretic Aspects","display_name":"The Warranty Problem: Its Statistical and Game-Theoretic Aspects","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2026024271","doi":"https://doi.org/10.1137/1035002","mag":"2026024271"},"language":"en","primary_location":{"id":"doi:10.1137/1035002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035002","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"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/A5065524943","display_name":"Nozer D. Singpurwalla","orcid":"https://orcid.org/0000-0003-3578-2308"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nozer D. Singpurwalla","raw_affiliation_strings":["george Washington University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"george Washington University","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008124812","display_name":"Simon Wilson","orcid":"https://orcid.org/0000-0003-0312-3586"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simon Wilson","raw_affiliation_strings":["george Washington University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"george Washington University","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I193531525"],"apc_list":null,"apc_paid":null,"fwci":3.3854,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.91214237,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"35","issue":"1","first_page":"17","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9876000285148621,"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"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9876000285148621,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9753999710083008,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9501000046730042,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/warranty","display_name":"Warranty","score":0.976874828338623},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.7176893949508667},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6866384744644165},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.669751763343811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6414331197738647},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.5420800447463989},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5093764066696167},{"id":"https://openalex.org/keywords/risk-analysis","display_name":"Risk analysis (engineering)","score":0.3621118664741516},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.29827097058296204},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.23736974596977234},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.18199098110198975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1507640779018402}],"concepts":[{"id":"https://openalex.org/C2779056723","wikidata":"https://www.wikidata.org/wiki/Q329717","display_name":"Warranty","level":2,"score":0.976874828338623},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.7176893949508667},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6866384744644165},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.669751763343811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6414331197738647},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.5420800447463989},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5093764066696167},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.3621118664741516},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.29827097058296204},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.23736974596977234},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.18199098110198975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1507640779018402},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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:10.1137/1035002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035002","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W192340336","https://openalex.org/W271104858","https://openalex.org/W1485535210","https://openalex.org/W1527142018","https://openalex.org/W1540747638","https://openalex.org/W1564463833","https://openalex.org/W1975035024","https://openalex.org/W1977208527","https://openalex.org/W1986406297","https://openalex.org/W1993805887","https://openalex.org/W2018921789","https://openalex.org/W2026407925","https://openalex.org/W2026905639","https://openalex.org/W2035529676","https://openalex.org/W2058097231","https://openalex.org/W2083875149","https://openalex.org/W2110667918","https://openalex.org/W2122443986","https://openalex.org/W2146213561","https://openalex.org/W2151926297","https://openalex.org/W2313953460","https://openalex.org/W2329405355","https://openalex.org/W2796066130","https://openalex.org/W2796700885","https://openalex.org/W2903625423","https://openalex.org/W3035509303","https://openalex.org/W3147894994","https://openalex.org/W4239778931","https://openalex.org/W4253708194","https://openalex.org/W4285719527","https://openalex.org/W4297888513"],"related_works":["https://openalex.org/W4247898262","https://openalex.org/W2038323968","https://openalex.org/W4386591436","https://openalex.org/W2374836656","https://openalex.org/W2382637078","https://openalex.org/W2351687577","https://openalex.org/W2373363799","https://openalex.org/W2386420233","https://openalex.org/W2576172759","https://openalex.org/W170871033"],"abstract_inverted_index":{"Manufacturers":[0],"of":[1,33,50,61,77,83,97,105,113,117,126,143,173,188],"consumer":[2],"products,":[3],"such":[4],"as":[5],"automobiles,":[6],"usually":[7],"offer":[8],"warranties":[9],"guaranteeing":[10],"the":[11,48,56,59,70,78,85,93,106,111,124,141,144,146,166,174,183,191,202],"product":[12],"or":[13,21],"its":[14,81,153,156],"parts,":[15],"for":[16,18,122,170],"example,":[17],"five":[19],"years":[20],"50,000":[22],"miles,":[23],"whichever":[24],"comes":[25],"first.":[26],"There":[27],"are":[28,168],"at":[29],"least":[30],"two":[31],"issues":[32],"interest":[34],"to":[35,65,131,140,181],"applied":[36],"mathematicians":[37],"and":[38,55,92,155,201],"statisticians":[39],"that":[40,161,194],"arise":[41],"from":[42],"warranty":[43,67],"considerations.":[44],"The":[45,72,108,177],"first":[46],"is":[47,58,135,149,180],"specification":[49],"an":[51,136,186,196],"optimum":[52],"price-warranty":[53],"combination,":[54],"second":[57],"forecast":[60],"a":[62,75,89,101,114,159],"reserve":[63],"fund":[64],"meet":[66],"claims":[68],"against":[69],"product.":[71],"former":[73],"involves":[74,110],"consideration":[76],"item\u2019s":[79],"reliability,":[80],"rate":[82],"usage,":[84],"consumer\u2019s":[86],"attitude":[87],"toward":[88],"specific":[90],"warranty,":[91],"competitor\u2019s":[94],"actions,":[95],"all":[96],"which":[98,123],"lead":[99],"towards":[100],"game":[102],"theoretic":[103],"formulation":[104,157],"problem.":[107],"latter":[109],"analysis":[112],"special":[115],"kind":[116],"time":[118],"series":[119],"in":[120,158,165,190],"two-dimensions,":[121],"use":[125],"dynamic":[127],"linear":[128],"models":[129],"appears":[130],"be":[132],"natural.":[133],"This":[134],"expository":[137],"paper.":[138],"Due":[139],"timeliness":[142],"topic,":[145],"focus":[147],"here":[148],"on":[150,198],"problem":[151],"definition,":[152],"scope,":[154],"manner":[160],"facilitates":[162],"analysis.":[163],"Imbedded":[164],"discussion":[167],"strategies":[169],"addressing":[171],"some":[172],"ensuing":[175],"issues.":[176],"overall":[178],"goal":[179],"enlighten":[182],"reader":[184],"about":[185],"area":[187],"research":[189],"mathematical":[192],"sciences":[193],"has":[195],"impact":[197],"industrial":[199],"competitiveness":[200],"manufacturing":[203],"sciences.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}