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Minimax Inspection Strategies if Expected System Lifetime is Known

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Transactions of the Eighth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 8A))

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Abstract

A model for proper scheduling of inspections is considered, if system failures can be detected only by checking.

On condition that the probability distribution of the system lifetime is unknown but the mathematical expectation optimum inspection strategies are constructed with respect to certain cost and availability criterions.

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References

  • Beichelt F. (1975): Minimax inspection strategies for replaceable systems with partial information on lifetime distribution. Math, Operationsforsch. und Statistik 6(1975), No. 3, 479–492.

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  • Beichelt F. (1976): Prophylaktische Erneuerung von Systemen Akademie-Verlag, Berlin 1976

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  • Beichelt F. (1977): Maximum availability under cost restrictions Zeitschr. f. Angew. Mathematik und Mechanik 57(11977), No. 6, 347–349.

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  • Hoeffding W. (1955): The extrema of the expected value of a function of independent random variables. Ann. Math.Stat. 26(1955), No. 2, 268–275.

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  • Platz, O. (1976):: Availability of a renewable, checked system. IEEE Transact. Reliability R-25(1976), No. 1, 56–58.

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  • Proschan F. Hunter L. C. Barlow R. E. (1963): Optimum checking procedures. Journ. Soc. Ind. Appl. Math. 4(1963), No.6, 1078–1095.

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Authors and Affiliations

  1. Department of Rationalization, VEB Braunkohlenkombinat “Gustav Sobottka”, 4256, Röblingen am See, GDR

    Frank Beichelt

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  1. Frank Beichelt
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© 1978 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Beichelt, F. (1978). Minimax Inspection Strategies if Expected System Lifetime is Known. In: Transactions of the Eighth Prague Conference. Czechoslovak Academy of Sciences, vol 8A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9857-5_11

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  • DOI: https://doi.org/10.1007/978-94-009-9857-5_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9859-9

  • Online ISBN: 978-94-009-9857-5

  • eBook Packages: Springer Book Archive

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