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
Neuronal Constraint-Handling Technique for the Optimal Synthesis of Closed-Chain Mechanisms in Lower Limb Rehabilitation
José Saúl Muñoz-Reina,Miguel Gabriel Villarreal-Cervantes,Leonel Germán Corona-Ramírez,Luis Ernesto Valencia-Segura +3 more
TL;DR: In this article , a neural network is used to search for the fittest solutions into the feasible and the infeasible regions to pass them to the next generation of the evolutionary process of the Differential Evolution (DE) algorithm and consequently improve the obtained solution quality.
Journal ArticleDOI
A decision support tool for the order promising process with product homogeneity requirements in hybrid Make-To-Stock and Make-To-Order environments. Application to a ceramic tile company
TL;DR: A mathematical model-based decision tool is proposed to support the order promising process according to product homogeneity requirements in hybrid Make-To-Stock (MTS) and Make-to-Order (MTO) contexts and provides insights into the impact of ATP consumption rules on the profits made from committed customer orders in different scenarios for the specific ceramic tile company.
Proceedings ArticleDOI
Multi-Objective Optimal Active and Reactive Power Dispatch for Centrally Controlled Distributed PV Systems
TL;DR: A centralised power dispatch controller (CPDC) is proposed that optimizes nodal voltages of a LV distribution network by regulating active and reactive power produced from each PV system on the network.
Proceedings ArticleDOI
Automated generation of policies to support elastic scaling in cloud environments
TL;DR: The challenges of relying on adaptation planning for the generation of high-level policies are addressed, namely: representing the adaptation problem using a planning language, taking advantage of off-the-shelf planners to generate and select adequate plans, and incorporating techniques to scan initial system states and merge plans under common conditions.
Proceedings ArticleDOI
MOClusVNF: Leveraging Multi-Objective for Scalable NFV Orchestration
Jing Chen,Jia Chen,Renkun Hu +2 more
TL;DR: Simulation results show that the proposed MOClusVNF can balance the load among NFVIs while maximizing the number of flows admitted to the network, minimizing the path stretch, and balancing the loadamong VNF instances (VNFIs).
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.