Sequential Nonparametric Age Replacement Policies
نویسندگان
چکیده
منابع مشابه
Nonparametric adaptive opportunity-based age replacement strategies
We consider opportunity-based age replacement using nonparametric predictive inference (NPI) for the time to failure of a future unit. Based on n observed failure times, NPI provides lower and upper bounds for the survival function for the time to failure Xn+1 of a future unit, which lead to upper and lower cost functions, respectively, for opportunitybased age replacement based on the renewal ...
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This paper tries to trace our research history briefly from Barlow and Proschan to attain general replacement models. We begin with a random age replacement policy that is planned at a random time Y and call it as random replacement. When the distribution of Y becomes a degenerate distribution placing unit mass at T, age replacement is formulated. We obtain the general formulas for optimum repl...
متن کاملEdward W. Frees. on Construction of Sequential Age Replacement Policies via Stochastic Approximation
Stochastic approximation (SA), a stochastic analog of iterative techniques for finding the zeroes of a function (e.g., Newton-Raphson), is applied to a problem in resource allocation, the age replacement policy (ARP) problem. A stochastically failing unit is replaced at failure or at time t, whichever comes first, under an age replacement policy. When the form of the failure distribution is unk...
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Age replacement of technical units has received much attention in the reliability literature over the last four decades. Mostly, the failure time distribution for the units is assumed to be known, and minimal costs per unit of time is used as optimality criterion, where renewal reward theory simplifies the mathematics involved but requires the assumption that the same process and replacement st...
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We consider an age replacement problem with cost function based on the renewal reward theorem. However, instead of assuming a known probability distribution for the lifetimes, we apply Hill’s assumption A(n) for predicting probabilities for the lifetime of a future item. Lower and upper bounds for the survival function of a future item are used, resulting in upper and lower cost functions. Mini...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1985
ISSN: 0090-5364
DOI: 10.1214/aos/1176349545