Problems of a Utopia Point Setting in Transformation of Individual Objective Functions in Multi-Objective Optimization

Važan Pavel (), Červeňanská Zuzana (), Kotianová Janette () and Holík Jiří ()
Additional contact information
Važan Pavel: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mechatronics, Ulica Jána Bottu 2781/25, 917 24Trnava Slovak Republic
Červeňanská Zuzana: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mechatronics, Ulica Jána Bottu 2781/25, 917 24Trnava Slovak Republic
Kotianová Janette: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mechatronics, Ulica Jána Bottu 2781/25, 917 24Trnava Slovak Republic
Holík Jiří: Dynamic Future, S.R.O., Občanská 1117/23, 710 00Ostrava, Czech Republic

Research Papers Faculty of Materials Science and Technology Slovak University of Technology, 2019, vol. 27, issue 45, 64-71

Abstract: In an optimal processes control, where the considered goals are in general observed as concurrently conflicted, a multi-objective approach fits the best. Commonly used scalarization techniques in multi-objective optimization need a transformation of the individual single-objective functions involved into a scalar multi-criteria objective function. There are many parameters which can influence the optimization results solutions, including an unreachable utopia point value. In this study, the authors compare the multi-objective problem solutions found via two ways of the individual objectives transformation with the respect to setting the utopia point. The methods are used in the area of production control in a case study for a batch production system. To find the solutions, The Weighted Sum Method with a priori articulated preferences under specific constraints as the scalar multi-objective optimization method is applied in simulation optimization.

Keywords: Multi-Objective Optimization; Simulation Optimization; Weighted Sum Method; Utopia Point (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.2478/rput-2019-0027 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:27:y:2019:i:45:p:64-71:n:9

DOI: 10.2478/rput-2019-0027

Access Statistics for this article

Research Papers Faculty of Materials Science and Technology Slovak University of Technology is currently edited by Kvetoslava Rešetová

More articles in Research Papers Faculty of Materials Science and Technology Slovak University of Technology from Sciendo
Bibliographic data for series maintained by Peter Golla ().