2012
DOI: 10.1007/978-3-642-29124-1_17
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Multi-Pareto-Ranking Evolutionary Algorithm

Abstract: Abstract. This paper proposes a new multi-objective genetic algorithm, called GAME, to solve constrained optimization problems. GAME uses an elitist archive, but it ranks the population in several Pareto fronts. Then, three types of fitness assignment methods are defined: the fitness of individuals depends on the front they belong to. The crowding distance is also used to preserve diversity. Selection is based on two steps: a Pareto front is first selected, before choosing an individual among the solutions it … Show more

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Cited by 9 publications
(7 citation statements)
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“…MOEA/D-M2M [31,25] MOEA/D-PSF [25] MOEA/D-MSF [25] LiuLi [52,1] DMOEA-DD [52,1] COEA HEIA BCE MTS [52,1] problems were not available during the development of many of these algorithms, and only the top performing algorithms eventually being tested over a large range of test problems. There is a prevalence towards testing on unconstrained problems, with all but the GAME and aGAME tested on these problems, with more limited testing on the constrained and imbalanced problems.…”
Section: The Requirement For General Algorithmsmentioning
confidence: 99%
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“…MOEA/D-M2M [31,25] MOEA/D-PSF [25] MOEA/D-MSF [25] LiuLi [52,1] DMOEA-DD [52,1] COEA HEIA BCE MTS [52,1] problems were not available during the development of many of these algorithms, and only the top performing algorithms eventually being tested over a large range of test problems. There is a prevalence towards testing on unconstrained problems, with all but the GAME and aGAME tested on these problems, with more limited testing on the constrained and imbalanced problems.…”
Section: The Requirement For General Algorithmsmentioning
confidence: 99%
“…1, where darker circles indicate fitter individuals and darker yellow rectangles indicate higher collective fitness. The new algorithm, competitor algorithms and benchmarking are coded in C++ 1 .…”
Section: Novel Co-evolutionary Approachmentioning
confidence: 99%
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“…In line with these observations, an automatic mapping distillation technique is presented in Reference [67] which operates as follows: The original set of Pareto-optimal mappings is first projected into the space of resource-related objectives where Pareto ranking [72] is used to sort the mappings. Then, the mappings are projected into the space of quality objectives where a grid-based selection scheme is employed to retain mappings from different regions of the quality space (ensuring diverse quality trade-offs) based on the previously computed Pareto ranks (ensuring resource efficiency and diversity).…”
Section: Mapping Distillationmentioning
confidence: 99%
“…In the following discussion, we use the terms solution and individual to mean the same thing, since individuals in the population represent solutions to the problem that is being optimized. In non-dominated sorting genetic algorithm (NSGA-II) no niching parameter is required [3,14]. And to find out density of the solution crowding distance is used.…”
Section: Non-dominated Sorting Genetic Algorithm (Nsga-ii)mentioning
confidence: 99%