2013
DOI: 10.1155/2013/859701
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An Algorithmic Framework for Multiobjective Optimization

Abstract: Multiobjective (MO) optimization is an emerging field which is increasingly being encountered in many fields globally. Various metaheuristic techniques such as differential evolution (DE), genetic algorithm (GA), gravitational search algorithm (GSA), and particle swarm optimization (PSO) have been used in conjunction with scalarization techniques such as weighted sum approach and the normal-boundary intersection (NBI) method to solve MO problems. Nevertheless, many challenges still arise especially when dealin… Show more

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Cited by 11 publications
(3 citation statements)
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“…However, it can also be perceived that in many cases, only the bi-objective MO problem is measured. This may be due to the fact that MO optimization is an innovative and upcoming field, and only in recent times (with the aid of modern computational power) has this field spread its horizons into real-world industrial applications [216].…”
Section: Multi-objective Optimization For Ammentioning
confidence: 99%
“…However, it can also be perceived that in many cases, only the bi-objective MO problem is measured. This may be due to the fact that MO optimization is an innovative and upcoming field, and only in recent times (with the aid of modern computational power) has this field spread its horizons into real-world industrial applications [216].…”
Section: Multi-objective Optimization For Ammentioning
confidence: 99%
“…Among them are scalarization methods, which include weighted sum approach, goal attainment, and lexicographic method; and non-Pareto methods, which include ɛ-constraint. However, the numerical method requires mathematical equations including defining the iteration [8]. However, the former approach is able to generate one solution at each iteration and they are sensitive to the shape of Pareto curve, although they have fast convergence and high searching efficiency.…”
Section: Overview Of Multiobjective Optimization Approachesmentioning
confidence: 99%
“…1 to 5 and 17 to 28. Multi-objective optimization problems have been increasingly encountered in different fields, and various techniques have been used to solve them, e.g., [19][20][21][22][23][24]. Here, without loss of generality, we assume that the objective functions (1) to (4) are in the order of importance, and therefore, a lexicographic method is proposed for this multi-objective optimization problem.…”
Section: The First Phasementioning
confidence: 99%