Reliability theory : with applications to preventative maintenance

The Material In This Book Was First Presented As A One-semester Course In Relia­ Bility Theory And Preventive Maintenance For M.sc. Students Of The Industrial Engineering Department Of Ben Gurion University In The 1997/98 And 1998/99 Academic Years. Engineering Students Are Mainly Interested In The Applied Part Of This Theory. The Value Of Preventive Maintenance Theory Lies In The Possibility Of Its Imple­ Mentation, Which Crucially Depends On How We Handle Statistical Reliability Data. The Very Nature Of The Object Of Reliability Theory - System Lifetime - Makes It Extremely Difficult To Collect Large Amounts Of Data. The Data Available Are Usu­ Ally Incomplete, E.g. Heavily Censored. Thus, The Desire To Make The Course Material More Applicable Led Me To Include In The Course Topics Such As Mod­ Eling System Lifetime Distributions (chaps. 1,2) And The Maximum Likelihood Techniques For Lifetime Data Processing (chap. 3). A Course In The Theory Of Statistics Is Aprerequisite For These Lectures. Stan­ Dard Courses Usually Pay Very Little Attention To The Techniques Needed For Our Purpose. A Short Summary Of Them Is Given In Chap. 3, Including Widely Used Probability Plotting. Chapter 4 Describes The Most Useful And Popular Models Of Preventive Main­ Tenance And Replacement. Some Practical Aspects Of Applying These Models Are Addressed, Such As Treating Uncertainty In The Data, The Role Of Data Contamina­ Tion And The Opportunistic Scheduling Of Maintenance Activities. 1 System Reliability As A Function Of Component Reliability -- 2 Parametric Lifetime Distributions -- 3 Statistical Inference From Incomplete Data -- 4 Preventive Maintenance Models Based On The Lifetime Distribution -- 5 Preventive Maintenance Based On Parameter Control -- 6 Best Time Scale For Age Replacement -- 7 Preventive Maintenance With Learning -- Solutions To Exercises -- Appendix A: Nonhomogeneous Poisson Process -- A.1 Definition And Basic Properties -- A.2 Parametric Estimation Of The Intensity Function -- Appendix B: Covariances And Means Of Order Statistics -- Appendix C: The Laplace Transform -- Appendix D: Probability Paper -- Appendix E: Renewal Function -- References -- Glossary Of Notation. By Ilya Gertsbakh. The material in this book was first presented as a one-semester course in ReliaƯ bility Theory and Preventive Maintenance for M. Sc. students of the Industrial Engineering Department of Ben Gurion University in the 1997/98 and 1998/99 academic years. Engineering students are mainly interested in the applied part of this theory. The value of preventive maintenance theory lies in the possibility of its impleƯ mentation, which crucially depends on how we handle statistical reliability data. The very nature of the object of reliability theory - system lifetime - makes it extremely difficult to collect large amounts of data. The data available are usuƯ ally incomplete, e.g. heavily censored. Thus, the desire to make the course material more applicable led me to include in the course topics such as modƯ eling system lifetime distributions (Chaps. 1,2) and the maximum likelihood techniques for lifetime data processing (Chap. 3). A course in the theory of statistics is aprerequisite for these lectures. StanƯ dard courses usually pay very little attention to the techniques needed for our purpose. A short summary of them is given in Chap. 3, including widely used probability plotting. Chapter 4 describes the most useful and popular models of preventive mainƯ tenance and replacement. Some practical aspects of applying these models are addressed, such as treating uncertainty in the data, the role of data contaminaƯ tion and the opportunistic scheduling of maintenance activities Front Matter....Pages i-xii System Reliability as a Function of Component Reliability....Pages 1-15 Parametric Lifetime Distributions....Pages 17-40 Statistical Inference from Incomplete Data....Pages 41-66 Preventive Maintenance Models Based on the Lifetime Distribution....Pages 67-106 Preventive Maintenance Based on Parameter Control....Pages 107-137 Best Time Scale for Age Replacement....Pages 139-150 Preventive Maintenance with Learning....Pages 151-160 Back Matter....Pages 161-219