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-Objective Optimization of Gas Pipeline Networks
TL;DR: The main goal of this paper is to prove that bi-objective optimization of high-pressure gas networks ensures grater system efficiency than scalar optimization.
Journal ArticleDOI
Multiobjective topology optimization with stress and strain energy criteria using the SESO method and a Multicriteria Tournament Decision
TL;DR: The global criterion method for multiobjective optimization and the Pareto optimal concept were also considered in this study and contribution is made to the study of these two methods in the structural optimization procedure using linear static analysis via Finite Element Method.
Proceedings ArticleDOI
Stochastic programming via scenario planning for system reliability optimization
Aliakbar Eslami Baladeh,Mirmehdi Seyyed-Esfahani,S. M. T. Fatemi Ghomi,Mohammad Ali Farsi,Morteza Cheraghi +4 more
TL;DR: An efficient methodology which is developed for modeling redundancy allocation problem considering two types of variation in reliability data by stochastic programming and risk model is presented for considering uncertainty of components reliability.
Proceedings ArticleDOI
A Unified Formulation for Visual Odometry
TL;DR: In this paper, a unified formulation for visual odometry, referred to as UFVO, is presented, with a tight coupling of photometric (Direct) and geometric (Indirect) measurements using a joint multi-objective optimization.
Dissertation
A novel fast remesh-free finite element method for optimal design of electric machines
TL;DR: In this article, a thesis is protected by copyright, with all rights reserved, and the reader agrees to indemnify and hold the University harmless from and against any loss, damage, cost, liability or expenses arising from copyright infringement or unauthorized usage.
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.