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Nonlinear optimization in bi-level selective maintenance allocation problem

delete2022-06-01
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OA
AI
M
Mohammad Faisal Khan
U
Umar Muhammad Modibbo
N
Naeem Ahmad
I
Irfan Ali *
DOI:10.1016/j.jksus.2022.101933delete
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Abstract

Abstract

En 中文
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/).
Keywords:
Bi -level programming problem
Selective maintenance allocation problem
Reliability optimization
K-T Conditions
Nonlinear optimization
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Journal

J
Journal of King Saud University Science
IF:
3.6
Papers:
2.8K
Citations:
1.0W

Organization

A
aligarh muslim university
Scholars:
5.6K
Papers: 5.2K
Citations: 4
S
Saudi Electronic University
Scholars:
747
Papers: 895
Citations: 9