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Minimax Inspection Strategies if Expected System Lifetime is Known

  • Frank Beichelt
Part of the Czechoslovak Academy of Sciences book series (TPCI, volume 8A)

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

  1. 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.CrossRefMathSciNetGoogle Scholar
  2. Beichelt F. (1976): Prophylaktische Erneuerung von Systemen Akademie-Verlag, Berlin 1976MATHGoogle Scholar
  3. Beichelt F. (1977): Maximum availability under cost restrictions Zeitschr. f. Angew. Mathematik und Mechanik 57(11977), No. 6, 347–349.CrossRefMathSciNetGoogle Scholar
  4. 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.CrossRefMATHMathSciNetGoogle Scholar
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Copyright information

© ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague 1978

Authors and Affiliations

  • Frank Beichelt
    • 1
  1. 1.Department of RationalizationVEB Braunkohlenkombinat “Gustav Sobottka”Röblingen am SeeGDR

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