Properties and computation of interval availability of system

Kai Huang and Jie Mi

Statistics & Probability Letters, 2013, vol. 83, issue 5, 1388-1396

Abstract: In this paper, we study the interval availability Aw(t) of a repairable system through an integral equation. We proved initial monotonicity of the interval availability, and derived lower bounds to Aw(t) and average availability. The limit of the interval availability is also obtained. A Block-by-Block algorithm for numerically computing Aw(t) is proposed. Various examples show the high accuracy and efficiency of this algorithm.

Keywords: Interval availability; Renewal equation; Stieltjes–Laplace transform; Block-by-Block algorithm (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.01.018

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