Optimal maintenance

Abstract: Over the last few decades the maintenance of systems has become more and more complex. One reason for this is that systems consist of many components which depend on each other. On the one hand, interactions between components complicate the modelling and optimization of maintenance. On the other hand, interactions also offer the opportunity to group maintenance which may save costs. It follows that planning maintenance actions is a big challenge and it is not surprising that many scholars have studied maintenance optimization problems for multi-component systems. In some articles new solution methods for existing problems are proposed, in other articles new maintenance policies for multi-component systems are studied. Moreover, the number of papers with practical applications of optimal maintenance of multi-component systems is still growing.

Abstract: Preface to the Classics Edition Preface 1. Introduction. Historical Background of the Mathematical Theory of Reliability Definitions of Reliability 2. Failure Distributions. Introduction Typical Failure Laws The Exponential as the Failure Law of Complex Equipment Monotone Failure Rates Preservation of Monotone Failure Rate Additional Inequalities General Failure Rates 3. Operating Characteristics of Maintenance Policies. Introduction Renewal Theory Replacement Based on Age Comparison of Age and Block Replacement Policies Random Replacement Repair of a Single Unit 4. Optimum Maintenance Policies. Introduction Replacement Policies Inspection Policies 5. Stochastic Models for Complex Systems. Introduction Markov Chains and Semi-Markov Processes Repairman Problems Marginal Checking Optimal Maintenance Policies under Markovian Deterioration 6. Redundancy Optimization. Introduction Optimal Allocation of Redundancy Subject to Constraints Application to Parallel Redundancy Model Application to Standby Redundancy Model Complete Families of Undominated Allocations Optimal Redundancy Assuming Two Types of Failure 7. Qualitative Relationships for Multicomponent Structures. Introduction Achieving Reliable Relay Circuits Monotonic Structures S-shaped Reliability Functions for Monotonic Structures k-out-of-n Structures Relationship between Structures Failure Rate and Component Failure Rates Appendix 1. Total Positivity Appendix 2. Test for Increasing Failure Rate Appendix 3. Tables Giving Bounds on Distributions with Monotone Failure Rate References Index.

Abstract: Introduction Imperfect Maintenance and Dependence Maintenance Policies and Analysis A Quasi-renewal Process and Its Applications Reliability and Optimal Maintenance of Series Systems with Imperfect Repair and Dependence Opportunistic Maintenance of Multi-unit Systems Optimal Preparedness Maintenance of Multi-unit Systems Optimal Opportunistic Maintenance of k-out-of-n Systems Reliability and Optimal Inspection-maintenance Models of Multi-degraded Systems Warranty Cost Models with Dependence and Imperfect Repair Software Reliability, Cost, and Optimization Models Monte Carlo Reliability Simulation of Complex Systems