Title: Optimising reliability, performance, and efficiency of sequential system through copula approach

Authors: Ramatu Idris Gatawa; Mansur Hassan; Ibrahim Yusuf

Addresses: Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria ' Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria ' Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract: This paper presents a novel approach to assess the reliability and performance of sequential solar-powered irrigation systems through the application of copula methodology. The sequential system consists of five subsystems A, B, C, D, and E. Subsystem A consists of eight panels in k-out-of-n mode of operation, subsystem B has one controller, subsystem C is the submersible pump, subsystem D is a sensor, and subsystem E consist of three storage tanks in 2-out-of-3 mode of operation. The systematic methodology in this paper begins with the derivation of first-order partial differential equations, solved using a combination of regenerative point technique and Laplace transform. The primary objective is to articulate precise expressions for various reliability metrics relevant to the studied system. The obtained analytical expressions are validated through numerical examples, and the results are meticulously tabulated and visually represented for a more transparent interpretation. Synthesising these findings, meaningful conclusions are drawn. The study's outcomes empower stakeholders to make informed decisions for optimising solar-powered irrigation systems, thus improving overall efficiency and contributing to sustainable agriculture. This research represents a significant stride in leveraging solar energy for irrigation while ensuring the reliability and high performance of these systems.

Keywords: performance; reliability; availability; MTTF; copula.

DOI: 10.1504/IJOR.2026.155607

International Journal of Operational Research, 2026 Vol.56 No.3, pp.327 - 350

Received: 01 Jan 2024
Accepted: 09 Jan 2024
Published online: 06 Aug 2026 *

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