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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Server Selection by using Weighted Sum and Revised Weighted Sum Decision Models
TL;DR: This paper focuses on the evaluation of actual worth of the server of IBM, HP, and Sun micro systems, based on the real cost of the parameters, resulting IBM at the top, following HP and SMS servers.
Journal ArticleDOI
A Comparison of Fuzzy-Based Energy Management Systems Adjusted by Nature-Inspired Algorithms
Diego Arcos-Aviles,Diego Pacheco,Daniela Pereira,Gabriel Garcia-Gutierrez,Enrique V. Carrera,Alexander Ibarra,Paul Ayala,Wilmar Martinez,Francesc Guinjoan +8 more
TL;DR: This paper evaluates a methodology for adjusting the FLC parameters of the EMS of a residential microgrid that aims to minimize the power peaks and fluctuations on the power profile exchanged with the utility network through two nature-inspired algorithms, namely particle swarm optimization and differential evolution.
Proceedings ArticleDOI
Power quality monitor placement method using adaptive quantum-inspired binary gravitational search algorithm
TL;DR: This paper presents application of adaptive quantum-inspired binary gravitational search algorithm for solving optimal power quality monitor (PQM) placement for voltage sag assessment and compared to the conventional method to illustrate its effectiveness.
Journal ArticleDOI
A weighted-sum method for solving the bi-objective traveling thief problem
TL;DR: In this paper , a bi-objective formulation of the traveling thief problem is presented, which has as components the traveling salesperson problem and the knapsack problem, and a weighted-sum method that makes use of randomized versions of existing heuristics is presented.
Journal ArticleDOI
Multidisciplinary Design of Electric Vehicles Based on Hierarchical Multi-Objective Optimization
TL;DR: In this paper, a metodo for the progettazione ottima di sistemi complessi combinando in modo efficace l'ottimizzazione multi-obiettivo and le tecniche "Analytical Target Cascading" (ATC) is presented.
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.