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Optimal trial duration times for multiple change points products lifetime distributions

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  • Rachele Foschi

    (University of Pisa)

Abstract

An interesting problem in reliability is to determine the optimal burn-in time. In Foschi and Spizzichino (Decis Anal 9:103–118, 2012), the solution of such a problem under a particular cost structure has been studied. It has been shown there that a key role in the problem is played by a function $$\rho $$ ρ , representing the reward coming from the use of a component in the field. A relevant case in this investigation is the one when $$\rho $$ ρ is linear. In view of more general applications to management of production processes, in this paper, we explore further the linear case and use its solutions as a benchmark for determining the locally optimal times when the function $$\rho $$ ρ is not linear or when the component’s lifetimes distribution is not bathtub (or upside down bathtub) shaped.

Suggested Citation

  • Rachele Foschi, 2017. "Optimal trial duration times for multiple change points products lifetime distributions," Computational Management Science, Springer, vol. 14(3), pages 423-441, July.
    • Handle: RePEc:spr:comgts:v:14:y:2017:i:3:d:10.1007_s10287-017-0285-6
    DOI: 10.1007/s10287-017-0285-6
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    References listed on IDEAS

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    1. Theodore S. Glickman & Paul D. Berger, 1976. "Optimal Price and Protection Period Decisions for a Product Under Warranty," Management Science, INFORMS, vol. 22(12), pages 1381-1390, August.
    2. Rachele Foschi & Fabio Spizzichino, 2012. "Interactions Between Ageing and Risk Properties in the Analysis of Burn-in Problems," Decision Analysis, INFORMS, vol. 9(2), pages 103-118, June.
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