eprintid: 1432
rev_number: 9
eprint_status: archive
userid: 19
dir: disk0/00/00/14/32
datestamp: 2012-11-27 13:55:26
lastmod: 2012-11-27 13:59:25
status_changed: 2012-11-27 13:55:26
type: article
metadata_visibility: show
creators_name: Foschi, Rachele
creators_id: rachele.foschi@imtlucca.it
title: Interval bounds for the optimal burn-in times for concave or convex reward functions
ispublished: submitted
subjects: QA
divisions: EIC
full_text_status: public
keywords: Burn-in; Bathtub shape; Multiple change points distributions; Reward functions.
abstract: An interesting problem in reliability is to determine the optimal burn-in time.
In a previous work, the authors studied the solution of such a problem under a particular cost structure.
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 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
under a different cost structure.

date_type: submitted
publication: Journal of applied probability 
publisher: Applied Probability Trust
pagerange: 1-23
refereed: TRUE
issn: 0021-9002
citation:   Foschi, Rachele  Interval bounds for the optimal burn-in times for concave or convex reward functions.  Journal of applied probability .  pp. 1-23.  ISSN 0021-9002    (Submitted)     
document_url: http://eprints.imtlucca.it/1432/1/Foschi_JAP.pdf