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A Variational Approach to Inspection Programs of Equipment Subject to Random Failure

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Advances in Life Cycle Engineering for Sustainable Manufacturing Businesses

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Abstract

A method for determining optimal inspection schedules of equipment is discussed, in which failures of equipment are detected only by inspection. The inspection density function, which generates inspection schedules, is employed in a minimization problem. Two types of objective are considered: the expected cost per cycle, and the expected cost per unit time. An optimal inspection density function is derived by the variational method. The proposed method can generate optimal inspection schedules when failure distributions of equipment are completely unknown. Optimal inspection density functions and optimal sequences of inspection times are obtained explicitly for some cases that failure distributions are completely unknown.

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References

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Author information

Authors and Affiliations

  1. Dept. of Mechanical Systems Engineering, School of Engineering, University of Shiga Prefecture, Shiga, Japan

    Susumu Okumura

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  1. Susumu Okumura
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Editors and Affiliations

  1. Department of Industrial and Management Systems Engineering School of Creative Science and Engineering, Waseda University, Tokyo, 169-8555, Japan

    Shozo Takata (Dr. Eng.) (Dr. Eng.)

  2. Department of Mechanical Engineering Graduate School of Engineering, Osaka University, Osaka, 565-0871, Japan

    Yasushi Umeda (Dr. Eng.) (Dr. Eng.)

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© 2007 Springer-Verlag London Limited

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Okumura, S. (2007). A Variational Approach to Inspection Programs of Equipment Subject to Random Failure. In: Takata, S., Umeda, Y. (eds) Advances in Life Cycle Engineering for Sustainable Manufacturing Businesses. Springer, London. https://doi.org/10.1007/978-1-84628-935-4_55

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  • DOI: https://doi.org/10.1007/978-1-84628-935-4_55

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-934-7

  • Online ISBN: 978-1-84628-935-4

  • eBook Packages: EngineeringEngineering (R0)

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