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 \(\rho \), representing the reward coming from the use of a component in the field. A relevant case in this investigation is the one when \(\rho \) 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 \(\rho \) is not linear or when the component’s lifetimes distribution is not bathtub (or upside down bathtub) shaped.
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References
Block HW, Savits TH (1997) Burn-in. Stat Sci 12(1):1–19
Foschi R, Spizzichino F (2012) Interactions betweeen ageing and risk in burn-in problems. Decis Anal 9:103–118
Glickman TS, Berger PD (1976) Optimal price and protection period decisions for a product under warranty. Manag Sci 22(12):1381–1390
Gupta RC (2001) Nonmonotonic failure rates and mean residual life functions. In: Hayakawa Y, Irony T, Xie M (eds) System and bayesian reliability, series on quality, reliability and engineering statistics, vol 75(IX). World Scientific, New Jersey, pp 147–162
Nguyen DG, Murthy DNP (1982) Optimal burn-in time to minimize cost for products sold under warranty. IIE Trans 14(3):167–174
Shaked M, Shanthikumar JG (1994) Stochastic orders and their applications. Probability and mathematical statistics. Academic Press, Boston
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Foschi, R. Optimal trial duration times for multiple change points products lifetime distributions. Comput Manag Sci 14, 423–441 (2017). https://doi.org/10.1007/s10287-017-0285-6
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DOI: https://doi.org/10.1007/s10287-017-0285-6