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2023 | Buch

Introduction Kapitel lesen Erstes Kapitel lesen

Which-Is-Better (WIB): Problems in Reliability Theory

verfasst von: Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa

Verlag: Springer International Publishing

Buchreihe : Springer Series in Reliability Engineering

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

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SUCHEN

Über dieses Buch

This is the first book on the Which-Is-Better (WIB) Problem. These are questions that in daily life include such as “Which is larger, younger and stronger?".

The main objective of this book is summarizing WIB Problems in maintenance and reliability theory. Optimal policies of replacement first, last and overtime are derived and compared theoretically and numerically, and WIB policies are determined. Furthermore, the reliability properties of parallel and standby systems are compared, and WIB system is determined. These WIB Problems are applied to shock and damage models and backup and checkpoint models of computer systems.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
It has been wellknown that Probability arose in the letter from Pascal to Fermat around 1654 on such questions as the fair division of the stakes in the game of change [1, p. 239].
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 2. Random Age Replacement Model
Abstract
We consider the age replacement model in which the unit is replaced at time T or at failure, whichever occurs. The following five policies based on the age replacement are taken up: (1) Random replacement,  (2) Age replacement,  (3) Replacement first,  (4) Replacement last,  and (5) Replacement overtime.
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 3. Replacement Model with Minimal Repair
Abstract
We consider the replacement model in which the unit undergoes minimal repair at failures, and is replaced at a planned time T, at a working time N or at a failure number K.
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 4. Periodic Replacement Models
Abstract
We consider the replacement model in which the unit is replaced at periodic times JT (\(J=1,2,\dots \)) for a specified T [1, p. 236].
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 5. Extended Replacement Models
Abstract
The following three extended replacement models are considered: We take up age replacement with two failure modes such as major  and minor failures in Sect. 5.1.
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 6. Which is Better for Standby or Parallel Systems
Abstract
High system reliability can be achieved by redundancy and maintenance. It was shown by graph that the system can operate for a specified mean time by either the preventive replacement or increasing the number of redundant units [1, p. 64].
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 7. Which is Better Problems in Shock and Damage Models
Abstract
We consider an operating unit suffered for the total damage due to random shocks which should operate for an infinite time span [1‐5].
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 8. Which is Better Problems in Backup Models
Abstract
The data in a computer system are frequently updated by adding or deleting them, and are stored in a computer database system. However, data files in the database are often broken by several errors due to noises, human errors, software and hardware errors. In this case, we have to restore the same files from the beginning and recover the database.
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Chapter 9. Which is Better Problems in Checkpoint Models
Abstract
It is of great importance to develop the design of computer systems  with high reliability as human technologies have been rapidly growing up. Most systems consist of computing units which need high reliability and speed processes. Therefore, we have to design previously such computer systems with high quality. However, we cannot eliminate some computer errors in actual fields, and to mask these errors, we have to make a better planning for high reliable computer systems with multiple units and tolerant performances.
Satoshi Mizutani, Xufeng Zhao, Toshio Nakagawa
Backmatter
Metadaten
Titel
Which-Is-Better (WIB): Problems in Reliability Theory
verfasst von
Satoshi Mizutani
Xufeng Zhao
Toshio Nakagawa
Copyright-Jahr
2023
Electronic ISBN
978-3-031-27316-2
Print ISBN
978-3-031-27315-5
DOI
https://doi.org/10.1007/978-3-031-27316-2