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Aircraft engine reliability analysis using lower confidence limit estimate procedures. PDF

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NAVAL POSTGRADUATE SCHOOL Monterey, California THESIS AIRCRAFTENGINE RELIABILITY ANALYSIS USING LOWERCONFIDENCE LIMITESTIMATE PROCEDURES by RichardP. Baldwin December, 1992 ThesisAdvisor: W. M. Woods Approved for public release; distribution is unlimited T260209 Unclassified SECURITYCLASSIFICATIONOFTHISPAGE REPORT DOCUMENTATION PAGE 1a.REPORTSECURITYCLASSIFICATION 1b RESTRICTIVE MARKINGS UNCLASSIFIED 2a.SECURITYCLASSIFICATIONAUTHORITY 3 DISTRIBUTION/AVAILABILITYOFREPORT Approvedfor publicrelease;distributionisunlimited. 2b DECLASSIFICATION/DOWNGRADINGSCHEDULE 4 PERFORMINGORGANIZATION REPORTNUMBER(S) 5 MONITORINGORGANIZATION REPORTNUMBER(S) 6a NAMEOFPERFORMINGORGANIZATION 6b OFFICESYMBOL 7a NAMEOFMONITORINGORGANIZATION NavalPostgraduateSchool (Ifapplicable) NavalPostgraduateSchool 36 6c.ADDRESS(City,State,andZIPCode) 7b ADDRESS{City.State,andZIPCode) Monterey,CA 93943-5000 Monterey,CA 93943-5000 8a NAMEOFFUNDING/SPONSORING 8b OFFICESYMBOL 9 PROCUREMENTINSTRUMENTIDENTIFICATIONNUMBER ORGANIZATION (ifapplicable) 8c ADDRESS(City,State,andZIPCode) 10 SOURCEOFFUNDING NUMBERS ProgramElementNo ProjeaNo WorkunitAccession Number 11.TITLE (IncludeSecurityClassification) AIRCRAFTENGINE RELIABILITYANALYSISUSINGLOWERCONFIDENCELIMITESTIMATE PROCEDURES 12 PERSONALAUTHOR(S) Baldwin,RichardP. 13a.TYPEOFREPORT 13b TIMECOVERED 14 DATEOFREPORT(year,month,day) 15 PAGECOUNT Master'sThesis From To 92,12,14 92 16.SUPPLEMENTARY NOTATION TheviewsexpressedinthisthesisarethoseoftheauthoranddonotreflecttheofficialpolicyorpositionoftheDepartmentofDefenseorthe U.S. Government. 17 COSATICODES 18 SUBJECTTERMS(continueonreverseifnecessaryandidentifybyblocknumber) FIELD GROUP SUBGROUP Spreadsheet,NALDA,F404,LOTUSApplication 19 ABSTRACT(continueonreverseifnecessaryandidentifybyblocknumber) Inthisthesis,aspreadsheetmodelwasdevelopedtocomputethelowerconfidencelimit(LCL)forthereliabilityofacomplexweaponsystem usingapersonalcomputer.TheLCLiaan estimateofthelowestreliabilityasystemisexpectedtohaveatagivenpointintimewithagivenlevel ofconfidence.Thereliabilitymodel isbasedonaWeibulldistributionforthesystemcomponentfailuretimes.Thereliability LCLprocedureshas beenextensivelyvalidatedanddeterminedtobequiteaccuratewhentheexpectednumberoffailuresisatleast10. ThemodeliscapableofsupportingLCLdecisionsinsupportoftheComponentImprovementProgram oranewweaponsystemprocurement wherereliabilitygrowthanalysisisusedasadecisionsupporttool.Thisprocedurealsoprovidesprogrammanagersandengineerswithamethod toperformLCLanalysisandtherebyreducetheirdependenceoncontractorsuppliedreliabilitydata.. 20.DISTRIBUTION/AVAILABILITYOFABSTRACT 21.ABSTRACTSECURITYCLASSIFICATION ^^UNCLASSIFIED/UNLIMITED ] SAMEASREPORT ] OTICUSERS UNCLASSIFIED 22a.NAMEOFRESPONSIBLE INDIVIDUAL 22b TELEPHONE(IncludeAreacode) 22c.OFFICESYMBOL W.M.Woods (408) 646-2743 OR/WO DD FORM 1473,84MAR 83APReditionmaybeuseduntilexhausted SECURITYCLASSIFICATIONOFTHIS PAGE Allothereditionsareobsolete Unclassified Approved for public release; distribution is unlimited. AircraftEngine Reliability Analysis using Lower Confidence LimitEstimate Procedures by Richard P. Baldwin LieutenantCommander, United States Navy B.S., University ofWashington, 1980 Submitted in partial fulfillment ofthe requirements for the degree of MASTER OF SCIENCE IN MANAGEMENT from the NAVAL POSTGRADUATE SCHOOL ^ December 1992 ABSTRACT In this thesis, a spreadsheet model was developed to compute the lower confidence limit (LCD for the reliability of a complex weapon system using a personal computer. The LCL is an estimate of the lowest reliability a system is expected to have at a given point in time with a given level of confidence. The reliability model is based on a Weibull distribution for the system component failure times. The reliability LCL procedures has been extensively validated and determined to be quite accurate when the expected number of failures is at least 10. This model is capable of supporting LCL decisions in support of the Component Improvement Program or new weapon system procurement where reliability growth analysis is used as a decision support tool. This procedure also provides program managers and engineers with a method to perform LCL analysis and thereby reduce their dependence on contractor supplied reliability data. 111 Qi> 6.1 TABLE OF CONTENTS I. INTRODUCTION 1 A. PURPOSE 2 B. LOWER CONFIDENCE LIMIT PROCEDURE BACKGROUND . . 3 C. RELIABILITY BLOCK MODEL 4 D. METHODOLOGIES 5 E. THESIS ORGANIZATION 7 F. SUMMARY 8 II. NAVAL AVIATION LOGISTICS DATA ANALYSIS (NALDA) 9 . . A. HISTORICAL BACKGROUND 9 B. NALDA APPLICATION AND DATA COLLECTION PROGRAMS 9 ... C. DATABASE MANAGEMENT SYSTEM 2000 CONCEPTS 12 1. Data Structure 12 2. Kinds of Data 13 D. NALDA DATA ACCURACY AND INTEGRITY 16 E. POSSIBLE NALDA DBMS IMPROVEMENTS 17 F. SUMMARY 17 III. DESCRIPTION OF THE LOWER CONFIDENCE LIMIT PROCEDURE 18 A. INTERVAL ESTIMATE PROCEDURE FOR WEIBULL FAILURE TIMES 18 IV

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