Journal ArticleDOI
The weighted sum method for multi-objective optimization: new insights
TLDR
This paper investigates the fundamental significance of the weights in terms of preferences, the Pareto optimal set, and objective-function values and determines the factors that dictate which solution point results from a particular set of weights.Abstract:
As a common concept in multi-objective optimization, minimizing a weighted sum constitutes an independent method as well as a component of other methods. Consequently, insight into characteristics of the weighted sum method has far reaching implications. However, despite the many published applications for this method and the literature addressing its pitfalls with respect to depicting the Pareto optimal set, there is little comprehensive discussion concerning the conceptual significance of the weights and techniques for maximizing the effectiveness of the method with respect to a priori articulation of preferences. Thus, in this paper, we investigate the fundamental significance of the weights in terms of preferences, the Pareto optimal set, and objective-function values. We determine the factors that dictate which solution point results from a particular set of weights. Fundamental deficiencies are identified in terms of a priori articulation of preferences, and guidelines are provided to help avoid blind use of the method.read more
Citations
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Dissertation
Design of line-start permanent magnet synchronous machines using the Taguchi Method
TL;DR: This study focuses on formulating a comprehensive design approach for LS PMSMs that can consider both steady-state and transient performance objectives in a multiobjective design optimisation procedure.
Proceedings ArticleDOI
Economic dispatch in microgrids using compromise solution method
TL;DR: In this article, a multi-objective-moving-horizon-optimization (MO-MHO) approach is proposed to improve the performance of economic dispatch in micro-grids.
Journal ArticleDOI
Efficient robust design optimization of rail bridge hollow pier considering uncertain but bounded type parameters in metamodeling framework
TL;DR: The results show that guarantee in safe performance and substantially reduced deviation of structural performance can be achieved by the RDO, and the computational time is observed to be drastically reduced in the present case in comparison to that by the direct Monte Carlo Simulation.
Proceedings ArticleDOI
CACSD tool for optimal multi-objective PI controller tuning
TL;DR: A new optimization method is presented which transforms the multi-objective function into a single objective function plus an inequality constraint in order to find the Pareto frontier.
References
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Journal ArticleDOI
A Scaling Method for Priorities in Hierarchical Structures
TL;DR: A method of scaling ratios using the principal eigenvector of a positive pairwise comparison matrix is investigated, showing that λmax = n is a necessary and sufficient condition for consistency.
Book
Nonlinear Multiobjective Optimization
TL;DR: This paper is concerned with the development of methods for dealing with the role of symbols in the interpretation of semantics.
Journal ArticleDOI
Survey of multi-objective optimization methods for engineering
R.T. Marler,Jasbir S. Arora +1 more
TL;DR: A survey of current continuous nonlinear multi-objective optimization concepts and methods finds that no single approach is superior and depends on the type of information provided in the problem, the user's preferences, the solution requirements, and the availability of software.
Book
Multiple Criteria Optimization: Theory, Computation, and Application
TL;DR: Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach.
Book
Multiple Objective Decision Making ― Methods and Applications: A State-of-the-Art Survey
Ching-Lai Hwang,Kwangsun Yoon +1 more
TL;DR: On MADM Methods Classification.