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
Portfolio Optimization for Defence Applications
Kyle Robert Harrison,Saber M. Elsayed,Ivan L. Garanovich,Terence Weir,Michael Galister,Sharon G. Boswell,Richard R. Taylor,Ruhul A. Sarker +7 more
TL;DR: A structured review of recent applications of portfolio optimization for defense applications is provided and a number of areas that warrant further investigation are identified.
Journal ArticleDOI
Optimising courier routes in central city areas
Russell G. Thompson,Lele Zhang +1 more
TL;DR: A two-layer optimisation model has been developed for determining the best routes for minimising operating and environmental costs and a genetic algorithm is proposed to find (near-)optimal solutions.
Journal ArticleDOI
Multiobjective and multi-physics topology optimization using an updated smart normal constraint bi-directional evolutionary structural optimization method
TL;DR: An updated smart Normal Constraint Method is combined with a Bi-directional Evolutionary Structural Optimization (SNC-BESO) algorithm to produce smart Pareto sets for multiobjective topology optimization problems, demonstrating the applicability of such methods to real-world problems.
Posted Content
A bi-objective optimization framework for three-dimensional road alignment design
TL;DR: This study developed a novel bi-objective optimization approach to solve a three dimensional road alignment problem where the horizontal and vertical alignments are optimized simultaneously.
Journal ArticleDOI
Preference-based topology optimization for vehicle concept design with concurrent static and crash load cases
TL;DR: A preference-based Scaled Energy Weighting approach to address the topology optimization of both disciplines concurrently, to decouple the user preference from the scaling of the different magnitudes of energies enables a multi-objective optimization and ultimately the selection of the desired trade-off solution.
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.