Abstract

CALVACHE, Álvaro; ARUNACHALAM, Viswanathan  and  DHARMARAJA, Selvamuthu. The Transient and Asymptotic Moments for the Random Mission Time of a System. Ciencia en Desarrollo [online]. 2016, vol.7, n.2, pp.109-124. ISSN 0121-7488.

Abstract In this paper, we study fault tolerant systems having one or more components and its system availability over the random mission time. The mission time is the time that elapses since the initial operation of the system until its cumulative working time achieves a predetermined fixed time. The main objective of this paper is to obtain the transient and asymptotic moments for the random mission time of the system availability subject to failures, as well as its distribution function, by using the theory of travel time distributions of a mobile, which passes through a finite number of paths wherein the average speed of the mobile varies from a path to another. A numerical example is presented to show the usefulness of the proposed model.

Keywords : Mission time; Cumulative up-time; Transients moments; Asymptotic moments.

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