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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Open Infrastructure for Edge Computing
TL;DR: This work believes that even more efforts will be required to make edge servers generally available, and there are initiatives supported by the telecommunication industry, like Multi-access Edge Computing (MEC), that plan to establish facilities near the edge of the network.
Economic-emission dispatch with semidefinite programming and rational function approximations
A. M. Jubril,Philip Ogunbona +1 more
TL;DR: In this article, the authors present a strategy of solving the economic-emission dispatch problem whereby the exponential function is approximated by a rational function that permits reduction to a standard polynomial optimization problem.
Posted Content
MONISE - Many Objective Non-Inferior Set Estimation
TL;DR: This work proposes a novel many objective optimization approach that globally finds a set of efficient solutions, also known as Pareto-optimal solutions, by automatically formulating and solving a sequence of weighted problems.
Journal ArticleDOI
Geographic HWMP (Geo-HWMP) routing method for AMI network with lossless packet forwarding
TL;DR: The performance of the proposed method is demonstrated, and it is compared with hybrid wireless mesh routing protocol (HWMP) and state-of-the-art schemes, namely, greedy and compass in terms of hop count, end-to-end delay and packet loss ratio.
Proceedings ArticleDOI
BioScan: Parameter-Space Exploration of Synthetic Biocircuits Using MEDA Biochips ∗
TL;DR: An optimization flow named BioScan is introduced for systematic exploration of the parameter-space of a biocircuit and results show that BioScan reduces reagent cost and enhances space-filling properties.
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.