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MIL-HDBK-338 15 OCTOBER 1984 TABLE OF CONTENTS PARAGRAPH PAGE 5.0 RELIABILITY AND MAINTAINABILITY THEORY (Cont'd) 5.2.4 RELIABILITY MODELING OF SIMPLE STRUCTURES 5-26 5.2.4.1 SERIES CONFIGURATION 5-26 5.2.4.2 PARALLEL CONFIGURATION 5-27 5.2.4.3 K-OUT-OF-N CONFIGURATION 5-30 5.2.5 BAYESIAN STATISTICS IN RELIABILITY ANALYSIS 5-32 5.2.5.1 INTRODUCTION 5-32 5.2.5.2 BAYES' THEOREM 5-33 5.3 MAINTAINABILITY THEORY 5-38 5.3.1 BASIC CONCEPTS 5-38 5.3.2 STATISTICAL DISTRIBUTIONS USED IN MAINTAIN- 5-40 ABILITY MODELS 5.3.2.1 LOGNORMAL DISTRIBUTION 5-42 5.3.2.2 NORMAL DISTRIBUTION 5-56 5.3.2.3 EXPONENTIAL DISTRIBUTION 5-59 5.3.2.4 EXPONENTIAL APPROXIMATION 5-61 5.4 AVAILABILITY THEORY 5-63 5.4.1 BASIC CONCEPTS 5-63 5.4.2 AVAILABILITY MODELING (MARKOV PROCESS APPROACH) 5-65 5.4.2.1 INTRODUCTION 5-65 5.4.2.2 SINGLE UNIT AVAILABILITY ANALYSIS 5-66 (MARKOV PROCESS APPROACH) 5.5 R&M TRADE-OFF TECHNIQUES 5-73 5.5.1 GENERAL 5-73 5.5.2 RELIABILITY VS. MAINTAINABILITY 5-73 REFERENCES 5-78 APPENDIX A STATISTICAL TABLES 5-A-81 6.0 RELIABILITY SPECIFICATION, ALLOCATION AND PREDICTION 6-1 6.1 INTRODUCTION 6-1 6.2 RELIABILITY SPECIFICATION 6-1 6.2.1 METHODS OF SPECIFYING THE RELIABILITY 6-1 REQUIREMENT 6.2.2 DESCRIPTION OF ENVIRONMENT AND/OR USE CONDITIONS 6-5 6.2.3 TIME MEASURE OR MISSION PROFILE 6-7 6.2.4 CLEAR DEFINITION OF FAILURE 6-7 6.2.5 DESCRIPTION OF METHOD(S) FOR RELIABILITY 6-9 DEMONSTRATION 6.3 RELIABILITY APPORTIONMENT/ALLOCATION 6-12 6.3.1 INTRODUCTION 6-12 6.3.2 EQUAL APPORTIONMENT TECHNIQUE 6-13 6.3.3 AGREE APPORTIONMENT TECHNIQUE 6-14 6.3.4 ARINC APPORTIONMENT TECHNIQUE 6-17 6.3.5 FEASIBILITY-OF-OBJECTIVE TECHNIQUE 6-18 6.3.6 MINIMIZATION OF EFFORT ALGORITHM 6-20 6.3.7 DYNAMIC PROGRAMMING APPROACH 6-24 v

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