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 ρ, representing the reward coming from the use of a component in the field. A relevant case in this investigation is the one when 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 ρ is not linear or when the components lifetimes distribution is not bathtub (or upside down bathtub) shaped.

Optimal trial duration times for multiple change points products lifetime distributions

Foschi, Rachele
2017-01-01

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 ρ, representing the reward coming from the use of a component in the field. A relevant case in this investigation is the one when 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 ρ is not linear or when the components lifetimes distribution is not bathtub (or upside down bathtub) shaped.
2017
Foschi, Rachele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/892259
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