Nonlinear optimization in bi-level selective maintenance allocation problem

Mohammad Faisal Khan

doi:10.1016/j.jksus.2022.101933

Nonlinear optimization in bi-level selective maintenance allocation problem

2022-06-01

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AI

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Mohammad Faisal Khan

U

Umar Muhammad Modibbo

DOI：10.1016/j.jksus.2022.101933

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The structural diversity of systems and the resource limitations, and the need to improve system reliability give birth to several optimization techniques and analyses. Recently, the significance of reliability and maintainability concepts has been increasing attention. Several optimization concepts exist in the reliability literature. However, less concern has been given to the bi-level programming concept, especially in the selective maintenance allocation problem. Hence, the present study is motivated and focuses on bridging the existing literature gap. This paper aims to transform a problem of reliability into a BiLevel Programming Problem (BLPP). The objective functions are non-linear, and the constraints are linear. The current paper demonstrates the reliability optimization problem as a BLPP and applies the KuhnTucker approach to solving the formulated BLPP. A section for estimating the reliability parameters are discussed, and a numerical example has been provided to illustrate the solution procedure.(c) 2022 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Keyword:

Bi -level programming problem

Selective maintenance allocation problem

Reliability optimization

K-T Conditions

Nonlinear optimization

Nonlinear optimization in bi-level selective maintenance allocation problem

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