A Copula-Driven Framework for Optimizing the Performance of a Serial System with Inbuilt Redundancy

Subject Areas : Mathematical Optimization

Ibrahim Yusuf ¹ , Sanusi Abdullahi ² , AMEER ABDULLAHI ³ , Abdulhadi Aminu ⁴ , Alhassan Ibrahim ⁵ , Ali Isa Sambo ⁶

1 - Department of Mathematical Sciences, Bayero University, Kano, Nigeria
2 - Bayero University, Kano
3 - MATHEMATICS, FACUMS, ALIKO DANGOTE UNIVERSITY OF SCIENCE AND TECHNOLOGY WUDIL, KANO STATE, NIGERIA
4 - Department of Mathematics, Aliko Dangote University of science and technology wudil
5 - School of Continuing Education, Bayero University, Kano, Nigeria
6 - Aliko Dangote University of Science and Technology, Kano, Nigeria

Received: 2024-03-01 Accepted : 2025-01-13 Published : 2025-01-31

Keywords: Reliability, maintenance, serial, redundancy,

Abstract :

This study introduces a novel Copula-Driven Framework (CDF) specifically designed to enhance the reliability and performance of serial systems, which play vital roles in various industrial processes. Effective operation of serial systems is paramount for overall system performance. However, traditional methods of reliability assessment and optimization tend to treat system components as independent entities, disregarding potential synergies and correlations among them. The CDF proposed in this research harnesses Copula theory to accurately model and analyze these interdependencies. It initiates by establishing a Copula-based dependency structure among the critical components of the serial system, considering both the strength and directionality of correlations. This comprehensive modelling approach enables the CDF to unveil hidden relationships that significantly impact system reliability and performance, often overlooked in conventional methodologies. By incorporating copula-derived dependencies, the framework facilitates the identification of the most effective repair policies aimed at optimizing system performance. This innovative approach offers a more holistic perspective, ensuring that critical interconnections within the system are accounted for, thus enabling more accurate reliability assessments and enhanced performance optimization strategies.

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