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    Chapter

    Approximate Calculations of Maintenance Policies for Weibull Distribution Using Exponential Distribution

    It is always easy to get analytical formulas of optimal maintenance policies with exponential failure times in reliability theory, however, it might be difficult sometimes to discuss them theoretically with a ...

    Toshio Nakagawa, Satoshi Mizutani, Xufeng Zhao in Frontiers of Performability Engineering (2024)

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    Chapter

    Introduction

    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 in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Random Age Replacement Model

    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) ...

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Periodic Replacement Models

    We consider the replacement model in which the unit is replaced at periodic times JT ( \(J=1,2,\dots \) ...

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Which is Better for Standby or Parallel Systems

    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 ...

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Which is Better Problems in Backup Models

    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 nois...

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Replacement Model with Minimal Repair

    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 in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Extended Replacement Models

    The following three extended replacement models are considered: We take up age replacement with two failure modes such as major  minor failures in Sect. 5.1.

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Which is Better Problems in Shock and Damage Models

    We consider an operating unit  for the total damage due to random shocks which should operate for an infinite time span [15].

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)

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    Chapter

    Which is Better Problems in Checkpoint Models

    It is of great importance to develop the design of computer systems  high reliability as human technologies have been rapidly growing up. Most systems consist of computing units which need high reliability an...

    Satoshi Mizutani, Xufeng Zhao in Which-Is-Better (WIB): Problems in Reliabi… (2023)