<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Slovak University of Technology in Bratislava

Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mechatronics

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In an optimal processes control, where the considered goals are in general observed as concurrently conflicted, a multi-objective approach fits the best....

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

Published Online: Dec 16, 2019

Page range: 64 - 71

Received: Aug 28, 2019

Accepted: Oct 01, 2019

DOI: https://doi.org/10.2478/rput-2019-0027

Keywords
Multi-Objective Optimization, Simulation Optimization, Weighted Sum Method, Utopia Point

© 2019 Pavel Važan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 16, 2019

Page range: 64 - 71

Received: Aug 28, 2019

Accepted: Oct 01, 2019

DOI: https://doi.org/10.2478/rput-2019-0027

KeywordsMulti-Objective Optimization, Simulation Optimization, Weighted Sum Method, Utopia Point

© 2019 Pavel Važan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Multi-Objective Optimization, Simulation Optimization, Weighted Sum Method, Utopia Point