Stochastic Models in Reliability and Maintenance

From the reviews: "This book is a collection of 12 papers on stochastic models in reliability and maintainability from various viewpoints of stochastic modelling. Each paper is written by a different set of authors and can be read independent of others. Each paper includes a bibliographical list. At the end of the book, the editor also adds a useful index. ... highly recommended to researchers in the field of reliability and maintainability, whose research will surely be facilitated by this collection of survey papers ... ." (N. Kong, Journal of the Operational Research Society, Vol. 55 (2), 2004) "The central theme of the book is 'Stochastic Models in Reliability and Maintenance'. ... A major contribution of this book is that it contains - in just one volume - a nice up-to-date survey of the theory and practice of stochastic models in reliability and maintenance. ... The editor selected a wide range of related topics and each of the authors selected a large sample of references to each of the papers." (Prof. Dr. E. Omey, Kwantitatieve Methoden, 2003) "This book represents a comprehensive review on the state of the art in models and methods used for measuring and improving the dependability of systems and components. It consists of 12 articles written mainly by Japanese researchers." (Elart von Collani, Zentralblatt MATH, Vol. 994 (19), 2002)

• 1. Renewal Processes and Their Computational Aspects.- 1.1 Introduction.- 1.2 Basic Renewal Theory.- 1.3 Some Useful Properties of the Renewal Function.- 1.4 Analytical Approximation Methods.- 1.5 Bounds.- 1.6 Numerical Methods.- 1.7 Concluding Remarks.- 2. Stochastic Orders in Reliability Theory.- 2.1 Introduction.- 2.2 Definitions and Basic Properties.- 2.3 Applications in Reliability Theory.- 2.A TP2 Functions.- 3. Classical Maintenance Models.- 3.1 Introduction.- 3.2 Block Replacement.- 3.3 Age Replacement.- 3.4 Order Replacement.- 3.5 Inspection Strategies.- 3.6 Conclusions.- 4. A Review of Delay Time Analysis for Modelling Plant Maintenance.- 4.1 Introduction.- 4.2 Maintenance Practice.- 4.3 The Delay Time Concept.- 4.4 Basic Delay Time Maintenance Model: Complex Plant.- 4.5 Basic Maintenance Model: Component Tracking.- 4.6 Relaxation of Assumptions.- 4.7 Non-perfect Inspection.- 4.8 Non-steady-state Condition.- 4.9 Non-homogeneous Defect Arrival Rate ?.- 4.10 Condition-dependent Cost and Downtime for Repair.- 4.11 Case Experience Using Subjective Data: Case Experience.- 4.12 Revision of Subjectively Estimated Delay Time Distribution.- 4.13 Correction for Sampling Bias.- 4.14 Subjective Estimation of the Delay Time Distribution Directly.- 4.15 Objective Estimation of Delay Time Parameters.- 4.16 Case Experience Using Objective Data: HPP of Defect Arrival.- 4.17 Discussion of Further Developments in Delay Time Modelling.- 4.18 Conclusions.- 5. Imperfect Preventive Maintenance Models.- 5.1 Introduction.- 5.2 Sequential Imperfect Preventive Maintenance.- 5.3 Shock Model with Imperfect Preventive Maintenance.- 5.4 Conclusions.- 6. Generalized Renewal Processes and General Repair Models.- 6.1 Background and Motivation.- 6.2 Generalized Renewal Processes.- 6.3g-Renewal Processes in Discrete Time.- 6.4 Monotonicity and Asymptotic Properties of the g-Renewal Density.- 6.5 On the g-Renewal Function.- 6.6 A General Repair Model.- 7. Two-Unit Redundant Models.- 7.1 Introduction.- 7.2 Two-Unit Standby System.- 7.3 Preventive Maintenance of Two-Unit Systems.- 7.4 Other Two-Unit Systems.- 8. Optimal Maintenance Problems for Markovian Deteriorating Systems.- 8.1 A Basic Optimal Replacement Problem for a Discrete Time Markovian Deteriorating System.- 8.2 An Optimal Inspection and Replacement Problem.- 8.3 An Optimal Inspection and Replacement Policy with Incomplete Information.- 8.4 A Continuous Time Markovian Deteriorating System.- 8.5 An Optimal Maintenance Problem for a Queueing System.- 9. Transient Analysis of Semi-Markov Reliability Models — A Tutorial Review with Emphasis on Discrete-Parameter Approaches.- 9.1 Introduction.- 9.2 Modelling Framework.- 9.3 Dependability Measures.- 9.4 Methods of Analysis.- 9.5 Equations for the Dependability Measures.- 9.6 Numerical Solution Techniques.- 9.7 Recent Developments, Conclusions and Further Work.- 10. Software Reliability Models.- 10.1 Introduction.- 10.2 Definitions and Software Reliability Model.- 10.3 Software Reliability Growth Modeling.- 10.4 Imperfect Debugging Modeling.- 10.5 Software Availability Modeling.- 10.6 Application of Software Reliability Assessment.- 11. Reliability Models in Data Communication Systems.- 11.1 Introduction.- 11.2 SW ARQ Model with Intermittent Faults.- 11.3 SR ARQ Model with Retransmission Number.- 11.4 Hybrid ARQ Models with Response Time.- 12. Quick Monte Carlo Methods in Stochastic Systems and Reliability.- 12.1 Introduction.- 12.2 The Problem with Direct Simulation.- 12.3 Importance Sampling.- 12.4 The Optimal Change of Measure.- 12.5 Cases ofApplication of the Recursive Approach.- 12.6 System Model.- 12.7 Regenerative Simulation.- 12.8 Failure Biasing Methods.- 12.9 Unreliability Estimation.- 12.10 Analytical-Statistical Methods.- 12.11 Concluding Remarks.