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Two-Unit Redundant Models

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Stochastic Models in Reliability and Maintenance

Summary

A two-unit system is the most fundamental redundant model in reliability theory, and it has been analyzed by many researchers over the past 40 years. In recent years, such systems have spread among industries and been used even in a daily life. In particular, computer systems have been composed of various types of redundant ones to achieve high reliability and accuracy with their rapid advancement and low cost. This chapter surveys the early results of a two-unit standby system, its preventive maintenance and other systems, using a unique modification of the regeneration point techniques of Markov renewal processes. Reliability quantities of a two-unit system are obtained, and optimum preventive maintenance policies which maximize the mean time to system failure and the availability are analytically discussed. Finally, other two-unit systems are briefly presented.

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  1. Department of Industrial Engineering, Aichi Institute of Technology, Toyota, 470-0392, Japan

    Toshio Nakagawa

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  1. Toshio Nakagawa
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  1. Department of Information & Telecommunication Engineering, Faculty of Mathematical Sciences and Information Engineering, Nanzan University, 27 Seirei-cho, 489-0863, Seto-Shi, Aichi, Japan

    Shunji Osaki

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Nakagawa, T. (2002). Two-Unit Redundant Models. In: Osaki, S. (eds) Stochastic Models in Reliability and Maintenance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24808-8_7

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  • DOI: https://doi.org/10.1007/978-3-540-24808-8_7

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