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On component failure in coherent systems with applications to maintenance strategies

Part of: Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  03 December 2020

M. Hashemi  and
M. Asadi Open the ORCID record for M. Asadi [Opens in a new window]
M. Hashemi*
Affiliation:
University of Isfahan
M. Asadi*
Affiliation:
University of Isfahan and IPM
*
*Postal address: Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran.
*Postal address: Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran.
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Abstract

Providing optimal strategies for maintaining technical systems in good working condition is an important goal in reliability engineering. The main aim of this paper is to propose some optimal maintenance policies for coherent systems based on some partial information about the status of components in the system. For this purpose, in the first part of the paper, we propose two criteria under which we compute the probability of the number of failed components in a coherent system with independent and identically distributed components. The first proposed criterion utilizes partial information about the status of the components with a single inspection of the system, and the second one uses partial information about the status of component failure under double monitoring of the system. In the computation of both criteria, we use the notion of the signature vector associated with the system. Some stochastic comparisons between two coherent systems have been made based on the proposed concepts. Then, by imposing some cost functions, we introduce new approaches to the optimal corrective and preventive maintenance of coherent systems. To illustrate the results, some examples are examined numerically and graphically.

Keywords

Preventive maintenancecorrective maintenanceminimal repairorder statisticsstochastic ordersignaturetotally positive of order 2

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 62N05: Reliability and life testing
Type
Original Article
Information
Advances in Applied Probability , Volume 52 , Issue 4 , December 2020 , pp. 1197 - 1223
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Copyright
© Applied Probability Trust 2020

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