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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MO-NILM: A multi-objective evolutionary algorithm for NILM classification
TL;DR: The main idea is to model each NILM feature as an objective function, and to mutually minimize these objectives based on the Non-dominated Sorting Genetic Algorithm II (NSGA-II).
Journal ArticleDOI
Fast Multi-Objective Optimization of Antenna Structures by Means of Data-Driven Surrogates and Dimensionality Reduction
TL;DR: This work proposes a novel surrogate-assisted approach to multi-objective optimization, where the data-driven model is only rendered in a small region spanned by the selected principal components of the extreme Pareto-optimal design set obtained using local search routines.
Journal ArticleDOI
Multiobjective Optimization of Uplink NOMA-Enabled Vehicle-to-Infrastructure Communication
Wali Ullah Khan,Furqan Jameel,Guftaar Ahmad Sardar Sidhu,Manzoor Ahmed,Xingwang Li,Riku Jantti +5 more
TL;DR: This work aims to improve upon the sum-rate and energy efficiency of uplink NOMA-enabled V2I communications by providing a novel multiobjective optimization framework by applying the weighted-sum method and handle joint metrics of sum- rate maximization and total transmit power minimization.
Journal ArticleDOI
Multiple objectives Pinch Analysis
TL;DR: In this article, the concept of prioritized cost, originally proposed for optimizing single objective problems with multiple resources, is extended to address multiple Objectives Pinch Analysis (MOPA) problems.
Journal ArticleDOI
A Sustainable Historic Waterfront Revitalization Decision Support Tool for Attracting Tourists
Ali Keyvanfar,Arezou Shafaghat,Sapura Mohamad,Mu’azu Mohammed Abdullahi,Hamidah Ahmad,Nurul Hidayah Mohd. Derus,Majid Khorami +6 more
TL;DR: In this article, the authors identify the most potential waterfront typology in tourism attraction and develop the waterfront sustainable revitalization (SWR) index assessment model, which can assist policy makers and urban developers to analyze the heritage waterfronts using Analytical Hierarchy Process (AHP) method.
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.