Optimal trial duration times for multiple change points products lifetime distributions

Rachele Foschi ()
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Rachele Foschi: University of Pisa

Computational Management Science, 2017, vol. 14, issue 3, No 6, 423-441

Abstract: 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.

Keywords: Burn-in; Innovation; Trial duration; Multiple change points distributions; Reward functions; 90B25; 62N05; 60K10 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10287-017-0285-6

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