Journal Article10.1007/S10957-012-0083-9
Multicriteria Engineering Optimization Problems: Statement, Solution and Applications
TL;DR: The methods for approximation of the feasible and Pareto optimal solution sets, identification, decomposition, and aggregation of the large-scale systems are described.
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Abstract: The majority of engineering optimization problems (design, identification, design of controlled systems, optimization of large-scale systems, operational development of prototypes, and so on) are essentially multicriteria. The correct determination of the feasible solution set is a major challenge in engineering optimization problems. In order to construct the feasible solution set, a method called PSI (Parameter Space Investigation) has been created and successfully integrated into various fields of industry, science, and technology. Owing to the PSI method, it has become possible to formulate and solve a wide range of multicriteria optimization problems. In addition to giving an overview of the PSI method, this paper also describes the methods for approximation of the feasible and Pareto optimal solution sets, identification, decomposition, and aggregation of the large-scale systems.
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Citations
Algorithms for generating Pareto fronts of multi-objective integer and mixed-integer programming problems
TL;DR: The problem of constructing an approximation of the Pareto front is NP-hard as mentioned in this paper. But it is not hard to find a solution to the problem, and the problem is solvable.
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Algorithms for Generating Pareto Fronts of Multi-objective Integer and Mixed-Integer Programming Problems
TL;DR: This paper proposes utilizing some recent algorithms, that were originally proposed for continuous multi-objective problems with three and four objectives and with disconnected feasible domains, for these integer and mixed-integer programming problems.
Multicriteria design of composite pressure vessels
TL;DR: In this paper, a multicriteria methodology for search for feasible and Pareto optimal solutions for the design of composite pressure vessels is presented, based on the parameter space investigation (PSI) method.
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Optimization of washing machine kinematics, dynamics, and stability during spinning using a multistep approach
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TL;DR: The vibrations originating from badly distributed load inside the drum are channeled into cost functions which are used as objectives for optimization, which have been used in development of new washing machines which afterwards have been put on the market.
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