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
Stochastic Pinch Analysis to Address Multi-Objective Resources Conservation Problems with Parametric Uncertainties
TL;DR: In this paper , a multi-objective resource conservation problem with parametric uncertainties is considered and a method is presented to construct the complete Pareto-optimal front to represent all optimal solutions graphically.
Book ChapterDOI
Weighted Linear Fractional Programming for Possibilistic Multi-objective Problem
TL;DR: A weighting method for linear fractional programming to solve possibilistic programming of the multi-objective decision-making problem and concludes that it is worthwhile to pursue proposed solution approach to theMulti-Objective evaluation scheme, which addresses some limitation to determine the weight values.
Book ChapterDOI
Distributed Multi-Agent Optimization Protocol over Energy Management Networks
TL;DR: This chapter focuses on distributed multi-agent optimization based on the linear consensus protocol and exact penalty methods, which can deal with a wide variety of convex problems with equality and inequality constraints.
Journal ArticleDOI
Identification of structural parameters and boundary conditions using a minimum number of measurement points
Ali Karimpour,Salam Rahmatalla +1 more
TL;DR: In this paper, the authors proposed a method that uses mathematical and numerical models of a structure to build a data set and determine crucial nodes that possess the highest sensitivity using regression surfaces between the structural parameters and structural output features, represented by the natural frequencies of the structure and local transmissibility.
Proceedings ArticleDOI
Service Assignment in Federated Cloud Environments Based on Multi-objective Optimization of Security
Talal Halabi,Martine Bellaiche +1 more
TL;DR: This paper model the service assignment problem in federated Cloud environments as a Multi-objective optimization problem based on security and solves the problem using the preemptive optimization method which permits to take into consideration the customer's priorities.
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.