Title: Availability analysis and inspection optimisation for a competing-risk k-out-of-n: G system

Authors: Himani Pant; S.B. Singh; Shivani Pant; Neelam Chantola

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India

Abstract: The availability and cost rate for a maintained k-out-of-n: G system encountering multiple failure modes undergoing periodic inspection are studied in this paper. Explicitly, a k-out-of-n: G system with a functional state and N failure modes is taken into account. Failure time of each failure mode is random. At each inspection and on failure detection, perfect repairs are carried out. Some theorems on the point availability, limiting availability and long-run average cost rate are obtained in the study. A condition for determining the optimal inspection period for minimum long-run average cost rate is also studied. An illustration is taken to explain the results obtained in the proposed work.

Keywords: k-out-of-n: G system; availability; optimal inspection; multiple failure modes; periodic inspection; renewal cycle.

DOI: 10.1504/IJRS.2020.113315

International Journal of Reliability and Safety, 2020 Vol.14 No.2/3, pp.168 - 181

Received: 08 Sep 2020
Accepted: 01 Jan 2021
Published online: 26 Feb 2021 *

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