Abstract
The manufacturing industry has a great impact on the economic growth of countries. It is, therefore, crucial to master the skills of the production system by mathematical tools that enable the evaluation of the production systems’ performance measures. Four mathematical approaches toward the modeling of steady-state behavior of serial Bernoulli production lines were considered in this study, namely, the analytical approach, the finite state method, the aggregation procedure, and numerical modeling. The accuracy of the performance measures determined using the semi-analytical methods and the numerical approach was validated using numerous theoretical examples and the results obtained using the analytical model. All of the considered methods demonstrated relevant reliability, regardless of the different theoretical backgrounds.
Highlights
Approaches in the Evaluation of Manufacturing is a process of material transformation to partly finished or finished products
The mainmeasures goal of thedetermined present study wasthe to validate the accuracy of the performance using semi-analytical approaches, namely, the finite state
One possibility in that sense is to apply the systematic approach developed by the production system engineering (PSE) research community and based on the mathematical modeling of real-life production systems
Summary
Approaches in the Evaluation of Manufacturing is a process of material transformation to partly finished or finished products. Its indispensable inputs are information, energy, production equipment, human labor, and money, while generating outputs, such as the product, waste, information, and a financial result [1]. The manufacturing industry is of significant importance for the economic growth of countries. The economy of a country depends on its competitive industries and well-planned and controlled facilities that ensure quality and profitability [2], with serial production lines playing a major role in the modern manufacturing industry. The serial production line is a combination of machines and buffers that are mutually connected in a serial arrangement by transportation devices. The main purpose of such a line is to ensure a smooth and effective manufacturing process, resulting in a gained profit
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