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 power quality monitor placement in power systems using an adaptive quantum-inspired binary gravitational search algorithm
TL;DR: A novel adaptive quantum-inspired binary gravitational search algorithm (QBGSA) to solve the optimal power quality monitor (PQM) placement problem in power systems and is integrated with an artificial immune system.
Journal ArticleDOI
Multi-objective optimisation of vehicle bodies made of FRP sandwich structures
TL;DR: In this article, an optimisation methodology is developed and applied on a FRP sandwich body of an electric vehicle, where single-objective and multiobjective optimisation studies are performed stepwise using a commercially available software package.
Journal ArticleDOI
Multi-objective optimization of intensified processes for the purification of levulinic acid involving economic and environmental objectives
Heriberto Alcocer-García,Juan Gabriel Segovia-Hernández,Oscar Andrés Prado-Rubio,Eduardo Sánchez-Ramírez,Juan José Quiroz-Ramírez +4 more
TL;DR: In this paper, a set of separation designs, including the use of decanters and intensified columns, has been implemented, which has reduced the cost of the process, and some improvements may be applied from the process intensification point of view either by thermally couplings or considering a single or multiple walls in a column.
Journal ArticleDOI
Optimization of the Emulsifying Properties of Food Protein Hydrolysates for the Production of Fish Oil-in-Water Emulsions
Marta Padial-Domínguez,F. Javier Espejo-Carpio,Raúl Pérez-Gálvez,Antonio Guadix,Emilia M. Guadix +4 more
TL;DR: This study confirmed that the use of soy protein hydrolysate as an emulsifier stabilized the droplet size distribution and retarded lipid oxidation within the storage period, compared to a non-hydrolyzed soy protein isolate.
Journal ArticleDOI
A many-objective optimization model for construction scheduling
TL;DR: A many-objective scheduling model (MOSM) based on a non-dominated sorting genetic algorithm for the simultaneous optimization of four objectives: time, cost, resources and environmental impact is developed.
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.