Implementing the Algebra of Logic Approach to Analyse the Stochastic Behaviour of an Industrial Ice Cream Plant

Abstract

This article presents a study focused on the application of the algebra of logic approach to analyzing the stochastic behavior of an industrial ice cream plant. The goal is to investigate the plant's complex interactions and stochastic nature, which can impact its efficiency and performance. This research presents calculations for various reliability parameters aiming to analyze the performance of an Industrial Ice-Cream Plant. A comprehensive ten-component model is developed to demonstrate the plant's operational functionality. By adopting the algebra of logic framework, which combines logical reasoning and probabilistic modelling, the study aims to model and simulate the plant's operations, capturing the inherent uncertainties and randomness involved. The overall system reliability is evaluated considering the Weibull and Exponential distributions as failure rates models. Furthermore, numerical examples are employed to compute the Mean Time to Failure (MTTF), a crucial reliability metric. The results will provide valuable insights into the plant's stochastic behavior, enabling decision-makers to optimize processes, identify bottlenecks, and enhance overall productivity in the industrial ice cream production domain.