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
A review of multi criteria decision making (MCDM) towards sustainable renewable energy development
Abhishek Kumar,Bikash Sah,Arvind R. Singh,Yan Deng,Xiangning He,Praveen Kumar,Ramesh C. Bansal +6 more
TL;DR: In this paper, an extensive review in the sphere of sustainable energy has been performed by utilizing multiple criteria decision making (MCDM) technique and future prospects in this area are discussed.
Journal ArticleDOI
Optimal PV Inverter Reactive Power Control and Real Power Curtailment to Improve Performance of Unbalanced Four-Wire LV Distribution Networks
TL;DR: Based on the latent reactive power capability and real power curtailment of single-phase inverters, a new comprehensive PV operational optimization strategy to improve the performance of significantly unbalanced three-phase four-wire low voltage (LV) distribution networks with high residential PV penetrations is proposed in this paper.
Journal ArticleDOI
Group Role Assignment via a Kuhn–Munkres Algorithm-Based Solution
TL;DR: An efficient enough solution based on the K-M algorithm that outperforms significantly the exhaustive search approach is offered.
Journal ArticleDOI
Localized Weighted Sum Method for Many-Objective Optimization
TL;DR: A novel decomposition-based EMO algorithm called multiobjective evolutionary algorithm based on decomposition LWS (MOEA/D-LWS) is proposed in which the WS method is applied in a local manner, and is a competitive algorithm for many-objective optimization.
Journal ArticleDOI
Optimization of problems with multiple objectives using the multi-verse optimization algorithm
Seyedali Mirjalili,Pradeep Jangir,Seyedeh Zahra Mirjalili,Shahrzad Saremi,Indrajit N. Trivedi +4 more
TL;DR: The results are compared quantitatively and qualitatively with other algorithms using a variety of performance indicators, which show the merits of this new MOMVO algorithm in solving a wide range of problems with different characteristics.
References
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Journal ArticleDOI
Caveats and Boons of Multicriteria Optimization
TL;DR: In this article, the authors discuss the similarities and connections between the optimization of a single criterion and multicriteria optimization, and illustrate the ease with which one may apply multicriceria optimization while at the same time illustrating the possible pitfalls.
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Bilevel Adaptive Weighted Sum Method for Multidisciplinary Multi-Objective Optimization
TL;DR: The primary results show that the proposed method is promising with regard to obtaining a uniformly spaced, widely distributed, and smooth Pareto front and is applicable in the design of large-scale, complex engineering systems such as aircraft.
Journal ArticleDOI
Fuzzy set theoretic approach of assigning weights to objectives in multieriteria decision making
J. R. Rao,Nilima Roy +1 more
TL;DR: In this paper, a rational procedure is developed for ranking the multiobjectives of a vector maximum problem, thereby leading to proper assignment of weights to the objectives, and the range of each decision variable from the constraints set and transform them into the unit interval.