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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Design optimization of a rotordynamic beam system with elastic supports to minimize flexural responses using a combined optimization algorithm
Bret R. Hauser,B. P. Wang +1 more
TL;DR: This paper presents a design optimization methodology appropriate to an economic solution for this class of problem and a simplified rotordynamic example is used to challenge the proposed optimization method against other more “conventional” techniques with results of the proposed method extensible to more complicated, practical rotord dynamic problems.
Journal ArticleDOI
Including network level safety measures in eco-routing
Sepehr Ghasemi Dehkordi,Gregoire S. Larue,Michael E. Cholette,Andry Rakotonirainy,Sebastien Glaser +4 more
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Data-driven production optimization using particle swarm algorithm based on the ensemble-learning proxy model
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Optimization of Chemotherapy Using Hybrid Optimal Control and Swarm Intelligence
TL;DR: In this paper , a mathematical model was developed in the form of ordinary differential equations (ODE), and the solution to the Multi-Objective Optimal Control Problem (MOOCP) was obtained using multi-objective optimization algorithms.
Journal ArticleDOI
A multi-objective bi-level optimisation algorithm with global and local design variables
TL;DR: An optimisation algorithm that uses a bi-level structure in order to consolidate the solution among multiple discipline optimisations with both local and global design variables is presented and it is demonstrated that utilising different weights in the system level objective function allows constructing points on the Pareto front.
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.