Title: Modelling and performance evaluation of cement production system using Gumbel-Hougaard Family Copula

Authors: Ibrahim Yusuf

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract: This study examines how reliability analysis was applied to system downtime data to assess machine component performance in the cement industries. Provision of a precise plan for reducing downtime and preventative maintenance utilising the Gumbel-Hougaard Family Copula method in the cement industries served as the impetus for the study. The system of first order differential equation were generated using Mnemonic rule. The expressions of reliability measures were used for measuring system strength, such as availability, reliability, mean time to failure (MTTF), profit function and sensitivity analysis. The raw mill container, Grinding, Pre-heating, Kiln and Packing are the subsystems evaluated in the present research. Each subsystem's active unit(s) and redundant unit(s) were shown in Figure 1. From the conclusion section, it is clear that when the system is repaired, it performs much better than when it is replaced.

Keywords: reliability; performance; cement; copula; production.

DOI: 10.1504/IJAOM.2025.150026

International Journal of Advanced Operations Management, 2025 Vol.16 No.4, pp.518 - 537

Accepted: 16 Oct 2023
Published online: 21 Nov 2025 *

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