Title: Availability modelling and analysis of a two-component parallel system under stochastic dependence

Authors: Ziyad Bahou; Issam Krimi; Abdessamad Ait El Cadi; Nizar El Hachemi

Addresses: Mohammadia School of Engineers, Mohammed V University in Rabat, Morocco ' College of Engineering, Abu Dhabi University, Abu Dhabi, UAE ' Univ. Polytechnique Hauts-de-France, LAMIH, CNRS, UMR 8201, INSA Hauts-de-France, F-59313 Valenciennes, France ' Université Mohammed V de Rabat, BP 8007 NU, Rabat, Morocco; Africa Business School, Université Mohammed VI Polytechnique, Morocco

Abstract: In real-world settings, machines are not available all the time. They can undergo different collapses and malfunctions. This may increase costs and sometimes gravely threaten safety. To face this challenge, it is important to assess the availability based on the different dependencies between their components. The purpose of this paper is to compute exactly the availability of a two-component parallel system considering stochastic dependence. We propose an efficient and user-friendly model, based on Cox proportional hazards model using the generalised Weibull distribution. A calculation framework is presented to compute more realistic system availability even for real systems provided with a history of failures. A numerical example is given to assess the stochastic dependence effect on the availability of the system and to illustrate the model. A managerial insight is provided to allow the practitioners to better estimate this latter in order to develop adequate maintenance strategies.

Keywords: availability modelling; multi-components systems; stochastic dependence; Cox proportional-hazards model.

DOI: 10.1504/IJMOR.2023.134836

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.3, pp.327 - 356

Received: 01 Mar 2022
Accepted: 25 Aug 2022
Published online: 14 Nov 2023 *

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