Multiobjective optimization techniques applied to engineering problems

Oliveira, Lidiane Sartini de; Saramago, Sezimária de Fátima Pereira

doi:10.1590/s1678-58782010000100012

Cited by 38 publications

(22 citation statements)

References 7 publications

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“…Weighting Objectives is one of the most usual (and simple) substitute models for multiobjective optimization problems (Oliveira and Saramago, 2010). It permits a preference formulation that is independent from the individual minimum for positive weights.…”

Section: Methods Of Objective Weightingmentioning

confidence: 99%

Multi-Criteria Optimal Path Planning of Flexible Robots

Santos¹,

Steffen²,

Saramago³

2012

Serial and Parallel Robot Manipulators - Kinematics, Dynamics, Control and Optimization

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Section: Methods Of Objective Weightingmentioning

confidence: 99%

Multi-Criteria Optimal Path Planning of Flexible Robots

Santos¹,

Steffen²,

Saramago³

2012

Serial and Parallel Robot Manipulators - Kinematics, Dynamics, Control and Optimization

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“…We emphasize that all the objective functions are equally relevant and therefore no ranking over themselves is considered. This procedure is widely used in different optimization problems that consider several objective functions [78].…”

Section: Multicriteria Optimizationmentioning

confidence: 99%

A class of DCT approximations based on the Feig–Winograd algorithm

2015

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A new class of matrices based on a parametrization of the Feig-Winograd factorization of 8-point DCT is proposed. Such parametrization induces a matrix subspace, which unifies a number of existing methods for DCT approximation. By solving a comprehensive multicriteria optimization problem, we identified several new DCT approximations. Obtained solutions were sought to possess the following properties: (i) low multiplierless computational complexity, (ii) orthogonality or near orthogonality, (iii) low complexity invertibility, and (iv) close proximity and performance to the exact DCT. Proposed approximations were submitted to assessment in terms of proximity to the DCT, coding performance, and suitability for image compression. Considering Pareto efficiency, particular new proposed approximations could outperform various existing methods archived in literature.

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“…There are several methods to solve this problem [29]. In this study will be used Global Criterion Method (GCM) and the Weighting Objectives Method (WOM).…”

Section: Multi-objective Optimizationmentioning

confidence: 99%