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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Optimal location selection for installation of surface water treatment plant by Gini coefficient-based analytical hierarchy process
TL;DR: A new MCDM which introduced Gini coefficient method in analytical hierarchy process was applied to find a suitable location for SWTP installation or relocation, and according to the results, the decision of the method is coherent with the existing installations.
Journal ArticleDOI
Distributed optimization of energy profiles to improve photovoltaic self-consumption on a local energy community
TL;DR: In this article, game theory is used to model the preferences of each user and to build a mathematical framework where each user optimizes individually his power profile according to these preferences, and an ADMM distributed algorithm (Alternating Direction of Method of Multipliers) is employed for practical implementation.
Journal ArticleDOI
A multi-objective optimization approach for the blending problem in the tea industry
TL;DR: A multi-objective optimization model is developed and solved for the tea blending problem, wherein the total cost of the raw materials to be used, as well as the violations of the desired characteristic scores of the final blends are minimised.
Journal ArticleDOI
A Systematic Literature Review of Multi-Criteria Decision-Making Methods for Sustainable Selection of Insulation Materials in Buildings
TL;DR: This paper aims to give an in-depth view of existing multi-criteria decision-making applications for the selection of insulation materials and to provide major insights in order to simplify the process of methods and criteria selection for future research.
Journal ArticleDOI
Dynamics and actuating torque optimization of planar robots
TL;DR: In this article, an optimization methodology is presented for the design of serial-chain planar robots for minimizing torque at joints, when the end-effector is allowed to move on a circular path.
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.
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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.