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2014 | Buch

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Random Maintenance Policies

verfasst von: Toshio Nakagawa

Verlag: Springer London

Buchreihe : Springer Series in Reliability Engineering

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

Exploring random maintenance models, this book provides an introduction to the implementation of random maintenance, and it is one of the first books to be written on this subject. It aims to help readers learn new techniques for applying random policies to actual reliability models, and it provides new theoretical analyses of various models including classical replacement, preventive maintenance and inspection policies. These policies are applied to scheduling problems, backup policies of database systems, maintenance policies of cumulative damage models, and reliability of random redundant systems.

Reliability theory is a major concern for engineers and managers, and in light of Japan’s recent earthquake, the reliability of large-scale systems has increased in importance. This also highlights the need for a new notion of maintenance and reliability theory, and how this can practically be applied to systems.

Providing an essential guide for engineers and managers specializing in reliability maintenance and quality control, this book provides a useful resource for those with doubts carrying out maintenance of new and large systems. It is also intended for graduate students and researchers interested in operations research, statistics, industrial engineering and management science.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Introduction

Abstract

Random models frequently appear in probability [1] and in statistics [2], and are applied in a variety of fields such as agriculture, biology, animal breeding, applied genetics, econometrics, quality control, medicine, engineering, education, and environmental and social sciences [2].

Toshio Nakagawa

Chapter 2. Random Age Replacement Policies

Abstract

It is well known in reliability theory: (1) When the failure time is exponential, an operating unit should be replaced only at failure and (2) an optimum age replacement is nonrandom [1, p. 86].

Toshio Nakagawa

Chapter 3. Random Periodic Replacement Policies

Abstract

When large and complex systems consist of many kinds of units, we should make minimal repair at each failure, and make the planned replacement or preventive maintenance at periodic times.

Toshio Nakagawa

Chapter 4. Random Inspection Policies

Abstract

Most units in standby and in storage have to be checked at suitable times to detect their failures, which is called an inspection policy.

Toshio Nakagawa

Chapter 5. Random Backup Policies

Abstract

The random inspection policies of deriving how to detect failures have been summarized in Chap. 4.

Toshio Nakagawa

Chapter 6. Random Parallel Systems

Abstract

High system reliability can be achieved by redundancy and maintenance. The most typical model is a standard parallel system which consists of \(n\) identical units in parallel. It was originally shown that the system can operate for a specified mean time by either changing the replacement time or increasing the number of units [1, p. 65]. There liabilities of many redundant systems were computed and summarized [2]. A variety of redundant systems with multiple failure modes and their optimization problems were discussed [3]. Reliabilities of parallel and parallel-series systems with dependent failures of components were derived [4]. Some optimization methods of redundancy allocation for series-parallel systems were studied [5]. A good survey of multistate and consecutive \(k\)-out-of-\(n\) systems was done [6, 7].

Toshio Nakagawa

Chapter 7. Random Scheduling

Abstract

Manufacturing systems in actual fields are subjected to many resources of uncertainty or randomness. Such uncertainty might result from machine failures and variable working times required for each job. Despite the fact that it is difficult to predict exactly a job completion time, the scheduling problem is still a major task in production management.

Toshio Nakagawa

Chapter 8. Other Random Maintenance Models

Abstract

The unit sometimes has to be operating for a finite interval S which is random, because the working times of a job might be random. Then, we take up inspection policies, replacement policies with minimal repair and imperfect preventive maintenance policies for a random interval. The expected costs of each policy are obtained, and optimum policies which minimize them are discussed analytically and numerically. Furthermore, we consider replacement policies with a discount rate for a random interval.

Toshio Nakagawa

Backmatter

Titel: Random Maintenance Policies
verfasst von: Toshio Nakagawa
Verlag: Springer London
Electronic ISBN: 978-1-4471-6575-0
Print ISBN: 978-1-4471-6574-3
DOI: https://doi.org/10.1007/978-1-4471-6575-0

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