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Chapter
Stochastic Redundant Replacement Maintenance Models
Many serious accidents have happened as systems have become large scale and complex, and moreover, advanced nations have almost finished infrastructures and rushed into a maintenance period. Maintenance would ...
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Chapter
WIB (Which-Is-Better) Problems in Maintenance Reliability Policies
There have been many studies of maintenance policies in reliability theory, so that we have to select better policies that are suitable for objective systems in actual fields, such as age replacement, periodic...
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Chapter
Average Failure Rate and Its Applications of Preventive Replacement Policies
When a mission arrives at a random time and lasts for an interval, it becomes an important constraint to plan preventive replacement policies, as the unit should provide reliability and no maintenance can be d...
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Chapter
Replacement Policies with Independent Damages
In general, an operating unit degrades gradually with additive damage cumulated by shocks in a stochastic way.
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Chapter
Other Maintenance Models
In order to conduct safe and economical maintenance strategy, modeling and analysis of the damage due to shocks in an analytical way plays an important role in reliability theory and engineering.
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Chapter
Standard Replacement Policies
To begin with, this chapter gives three standard replacement models that have been obtained as basic replacement policies for an operating unit with shock and damage (Nakagawa Shock and damage models in reliab...
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Chapter
Replacement Overtime and Middle Policies
Originally, replacement last was discussed to replace an operating unit without stop** successive working cycles by Zhao and Nakagawa (Eur J Oper Res 223:141–149, 2012, [7]); however, the approach of replacing ...
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Chapter
Replacement Policies with Maintenances
Maintenance actions, such as preventive and corrective maintenances [1], minor and major maintenances [39], routine and non-routine maintenances [40, 41], etc., have been proposed in pairs in literatures.
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Chapter
Database Maintenance Models
Database, a set of data and the way they are organized (Silberschatz et al. Database system concepts. McGraw-Hill Education, 2010, [51]), has now become the lifeblood for some organizations in this modern soci...
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Chapter
Introduction
We take the reliability systems with repairs as examples to introduce the following stochastic processes briefly [3, 23].
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Chapter
Replacement Last Policies
In theory, a new counter approach of whichever triggering event occurs last for the replacement policy with two PR scenarios should be considered rather than only the approach of whichever triggering event occurs...
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Chapter
Replacement Policies with Repairs
In real situation, the damaged unit has probabilities of minor failures (or malfunctions) at shock times, in which case, minimal repairs that cost less are always considered to resume quickly the operation of ...
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Chapter
Reliability Analysis of a Cloud Computing System with Replication: Using Markov Renewal Processes
Cloud computing is an important infrastructure for many industries. There are increasing needs for such new techniques in data protection, short response time, reduced management cost, etc. A cloud computing s...
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Chapter
Age Replacement Models with Random Works
This chapter gives four age replacement models for an operating unit when it works successively for jobs with random working cycles: (1) The unit is replaced at a total operating time T; (2) the unit is replaced ...
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Chapter
Periodic Replacement Overtime
In this chapter, we suppose that the system is large and complex which consists of many kinds of units, and it operates for a job with random working cycles introduced in Chap. 1
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Chapter
Replacement Overtime with Three Variables
In Chaps. 1 and 2, we have considered several replacement policies in which the unit is replaced at time T or at cycle N, and ...
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Chapter
Age Replacement Overtime
We consider a unit operating for a job with random working cycles, in which case, it would be impossible or impractical to replace the unit in a strict or deterministic fashion [1, p. 72], [2, p. 245]. From such ...
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Chapter
Inspection Overtime
Most systems such as standby electric generators and defense systems, and some units in complex and large-scale systems such as aircrafts and industry plants, have to be checked at suitable times to search the...
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Chapter and Conference Paper
Replacement Policies with a Random Threshold Number of Faults
Most systems fail when a certain amount of reliability quantities have exceeded their threshold levels. The typical example is cumulative damage model in which a system is subjected to shocks and suffers some ...
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Chapter
Generational Garbage Collection Policies
In the computer science community, the technique of garbage collection [5] is an automatic process of memory recycling, which refers to those objects in the memory no longer referenced by programs are called garb...