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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Journal ArticleDOI
Multi-User Analog Beamforming in Millimeter Wave MIMO Systems Based on Path Angle Information
Lisi Jiang,Hamid Jafarkhani +1 more
TL;DR: The simulation results show that the proposed non-robust multi-user analog beamformer outperforms the traditional analog beamforming method when the SNR is high and the proposed robust beamformer can provide up to 109% improvement in the sum-rate compared with the beam selection method.
Journal ArticleDOI
A multi-objective and multi-period optimization model for urban healthcare waste’s reverse logistics network design
TL;DR: A dynamic approach for the healthcare waste reverse logistics network is constructed by combining the Grey GM(1,1) prediction method with multi-objective optimization model and Sensitivity analysis of key parameters has been performed to analyze their impact on network performance.
Journal ArticleDOI
Application of NSGA-II algorithm to the spectrum assignment problem in spectrum sharing networks
Anabel Martínez-Vargas,Josué Domínguez-Guerrero,Ángel G. Andrade,Roberto Sepúlveda,Oscar Montiel-Ross +4 more
TL;DR: This paper addresses the problem of spectrum assignment (SA) in an underlay spectrum sharing network and proposes the application of Non-dominated Sorting Genetic Algorithm-II (NSGA-II) to face the throughput and spectral efficiency tradeoff.
Journal ArticleDOI
A multi-actor multi-objective optimization approach for locating temporary logistics hubs during disaster response
Rajali Maharjan,Shinya Hanaoka +1 more
TL;DR: A mathematical model that determines the location of temporary logistics hubs (TLHs) for disaster response and a new method to determine weights of the objectives in a multi-objective optimization problem are developed.
Journal ArticleDOI
Multi-objective superstructure-free synthesis and optimization of thermal power plants
TL;DR: In this article, a multi-objective superstructure-free synthesis framework is proposed for very complex problems in the synthesis of thermal power plants, which is shown to successfully solve the design task yielding a high-quality Pareto front of promising structural alternatives.
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.