Assessment of a Butter Oil Production Facility's Dependability via the Application of the Laplace Transform and the Fourth-Order Runge-Kutta Method

Abstract

This research examines the dependability performance of a butter oil production facility by using the Laplace Transform and the Fourth-Order Runge-Kutta (RK4) technique to estimate system failure rates and enhance maintenance schedules. The manufacturing process of butter oil encompasses many phases, including pasteurization, centrifugation, and evaporation, all of which are vulnerable to mechanical and thermal failures. By establishing differential equations that depict failure rates and resolving them using Laplace Transform and RK4, we get reliability measures like Mean Time Between Failures (MTBF) and system availability. The findings indicate enhanced predictive maintenance procedures, minimizing downtime and improving operational efficiency.