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Article

Accuracy of Semi-Analytical and Numerical Approaches in the Evaluation of Serial Bernoulli Production Lines

Department of Naval Architecture and Ocean Engineering, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia
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Academic Editor: János Sztrik
Mathematics 2021, 9(13), 1461; https://doi.org/10.3390/math9131461
Received: 26 April 2021 / Revised: 17 June 2021 / Accepted: 18 June 2021 / Published: 22 June 2021
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. View Full-Text
Keywords: production system engineering; serial Bernoulli production line; finite state method; aggregation procedure; analytical solution; performance measures production system engineering; serial Bernoulli production line; finite state method; aggregation procedure; analytical solution; performance measures
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MDPI and ACS Style

Ložar, V.; Hadžić, N.; Opetuk, T.; Slapničar, V. Accuracy of Semi-Analytical and Numerical Approaches in the Evaluation of Serial Bernoulli Production Lines. Mathematics 2021, 9, 1461. https://doi.org/10.3390/math9131461

AMA Style

Ložar V, Hadžić N, Opetuk T, Slapničar V. Accuracy of Semi-Analytical and Numerical Approaches in the Evaluation of Serial Bernoulli Production Lines. Mathematics. 2021; 9(13):1461. https://doi.org/10.3390/math9131461

Chicago/Turabian Style

Ložar, Viktor, Neven Hadžić, Tihomir Opetuk, and Vedran Slapničar. 2021. "Accuracy of Semi-Analytical and Numerical Approaches in the Evaluation of Serial Bernoulli Production Lines" Mathematics 9, no. 13: 1461. https://doi.org/10.3390/math9131461

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