The Bernoulli splitting line: analytical and semi-analytical evaluation of the steady-state performance

Abstract

Many industrial facilities involve splitting production systems of different complexities and arrangements. The accurate and efficient evaluation of the associated performance measures is, therefore, of great importance. This challenging task can be accomplished by applying mathematical models of production system engineering at different intricacies. This paper presents the development and application of the analytical approach to splitting production systems modelling. The same problem is also addressed using the finite state method as a semi-analytical model. Several theoretical examples were considered to validate the finite state method that proved to be quite efficient and accurate. Finally, the developed modelling approach was applied in the case of a wood-processing facility. The obtained results were validated successfully against the acquired factory-floor data.

KEYWORDS:

• production system engineering
• Bernoulli splitting production line
• analytical solution
• finite state method
• wood processing industry

Acknowledgment

The research was supported by the Croatian Science Foundation, project UIP-2019-04-6573 ANTYARD (Advanced Methodologies for Cost-Effective, Energy Efficient, and Environmentally Friendly Ship Production Process Design). We would also like to express our gratitude to Mr. Viktor Galeković, mag.ing.techn.lign., CEO of the Galeković parquet and flooring factory, for granting us the factory-floor data.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Croatian Science Foundation: [Grant Number UIP-2019-04-6573].

Notes on contributors

Neven Hadžić

Associate professor Neven Hadžić, Ph.D., was born on November 3rd, 1984 in Zagreb where he completed elementary school and classical gymnasium. He enrolled in the study of Naval architecture at the Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, in 2003. In 2008 he started a postgraduate study and has completed it in 2013 with the dissertation on ship hydroelasticity. He is employed at the Faculty of Mechanical Engineering and Naval Architecture in Zagreb and was elected to associate professorship in 2019. He actively teaches courses: Ship production I, Ship production II, and Design of shipyards. He has participated in four international research projects and participates presently as a principal researcher or collaborator in several projects dealing with production system engineering. His main fields of research interests are related to hydroelasticity, dynamic response of ships and offshore structures, offshore renewable energy sources, and analysis and designing of production processes. His previous work resulted in the publication of 6 books and more than 90 scientific and professional papers in international and domestic journals and conference proceedings. He received several awards for his work. Some of the most distinguished are: the Annual Award of The Society of University Teachers, Scholars and Other Scientists - Zagreb (2015), the Annual Award for Young Scientists (2015), and the Annual award Ivan Filipović (2017). List of publications: https://www.bib.irb.hr/pretraga/?operators=and|Had%C5%BEi%C4%87,%20Neven%20(26182)|text|profile&pub_type=authorship

Viktor Ložar

Assistant Viktor Ložar, mag. ing. nav. arch. was born on November 22th, 1983 in Friedrichshafen, Germany, where he completed elementary school and technical gymnasium. There he was nominated 2003 with the prise regional winner (Baden-Wuerttemberg) in physics in ‘Jugend Forscht’. He enrolled in the study of Naval architecture at the Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, in 2003. He completed an Undergraduate university programme in Naval Architecture in 2009 with a bachelor thesis on the topic: Analysis of the completion of stiffened panels on a production line. From 2006–2007 he was the chairman of the Inventor association of the Faculty of Mechanical Engineering and Naval Architecture. He completed the Graduate university programme in Naval Architecture in 2011 with a diploma thesis on the topic: Dynamic positioning system on the drill-ship with a crane for heavy lifting operations. Starting from October 2011 he worked in the shipyard 3. MAJ, Rijeka, as a Hull constructor. From January 2013 he was a Junior Designer at the Brodarski institute d.o.o., while in December 2013 he was a Constructor in the production at VTR Komponente d.o.o. From June 2015 he was a tool constructor for stamping tools at Parametrik d.o.o. Starting from July 2017 he was a Mechanical Engineer Designer in SolidWorks at PIA Automation Croatia d.o.o. In March 2020 he enrolled in the project ANTYARD as an assistant researcher and a Ph.D. student.

Tihomir Opetuk

Tihomir Opetuk was born on 07. September 1984 in Zagreb. He finished elementary school in Vukovina and High Aviation technical school Rudofl Perešin in Velika Gorica. He enrolled Faculty of Mechanical Engineering in 2003. He completed an Undergraduate university programme in Industrial Engineering and Management module in 2007 with a bachelor thesis on the topic: Implementation of Group Technology in the Process Planning. In 2008 He completed the Graduate university programme in the Industrial Engineering and Management module with a diploma thesis on the topic: Model Development for the Time estimation in Machining of Rotational Parts. In 2008 he was awarded Faculty Medal for Academic Achievement. In 2016 he completed Postgraduate doctorate studies in the Industrial Engineering and Management module with a doctoral thesis on the topic: Model of Green Supply Chain Management Implementation. From August 2008 he was employed in the company Končar Distribution and Special Transformers Inc. as a process engineer. For two and a half years he was an assistant director for the construction of a high voltage laboratory, assembly plant, warehouse, and offices space. Starting from February 2012 he works at the Faculty of Mechanical Engineering and Naval Architecture in Zagreb, at the Department of Industrial Engineering. He is the author or co-author of a chapter in the book, 18 scientific papers published in international journals, 26 papers at international conferences, and has participated in the writing of professional papers and projects for the economy.

Jerolim Andrić

Jerolim Andrić is a full professor of Ship Structures at the Department of Naval Architecture at Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Croatia. His scientific and professional work includes the structural design, analysis, and optimisation of ship structures and the development of applicable structural design methods and procedures. The development of a method for rational production and manufacturing of ship structures is also the area of his scientific research. His special interest is multi-deck ships (passenger vessels, cruise ships, RoPax, car carriers, mega-yacht, livestock carrier, etc.) He participates in several EU scientific projects (IMPROVE, DeLight, ENCOMAR, etc.). He has participated in more than fifty complex ship structural analyses and optimizations, using the finite element method for Croatian shipyards and design offices. Since 2009 he is a member of the International Ship and Offshore Structures Congress (ISSC). At the moment (for the period 2018-2022) he is a Croatian representative in committee II.1 ‘Ouasi-Static response’. He published, as co-author more than sixty scientific and professional papers in various national and international publications and conference proceedings. Since 2014, he is a regular member of the Maritime Scientific Council of the Croatian Academy of Sciences and Arts in the Section for Maritime Shipbuilding. He is a member of the Technical Commission for drafting rules for statutory certification of seagoing ships and the president of the Technical Commission No. 8 - Commission for cargo handling devices and lifting devices and Technical Commission No. 13 - Commission for containers. He is a member of the editorial board of the scientific journal Brodogradnja (SCI-Expanded). List of publications: https://scholar.google.hr/citations?user=Sm6F1mEAAAAJ&hl=en https://www.bib.irb.hr/pretraga?operators=and|Andri%C4%87,%20Jerolim%20%2825610%29|text|profile