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      Multiobjective TOU Pricing Optimization Based on NSGA2

      , , ,
      Journal of Applied Mathematics
      Hindawi Limited

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          Abstract

          Fast and elitist nondominated sorting generic algorithm (NSGA2) is an improved multiobjective genetic algorithm with good convergence and robustness. The Pareto optimal solution set using NSGA2 has the character of uniform distribution. This paper builds a time-of-use (TOU) pricing mathematical model considering actual constraint conditions and puts forward a new method which realizes multiobjective TOU pricing optimization using NSGA2. A variety of objective TOU pricing schemes can be provided for decision makers compared with traditional method. Furthermore, the multiple attribute decision making theory is applied in processing the Pareto optimal solution set to calculate the optimal compromise price scheme. The simulation results have shown that the TOU pricing scheme determined by the method proposed above can achieve a better effect of clipping the peak load to fill the valley load. Consequently, the study in this paper is innovative and is a successful exploration of coordinating the relation of various objective functions concerned in TOU pricing optimization problem.

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          Comparison of multiobjective evolutionary algorithms: empirical results.

          In this paper, we provide a systematic comparison of various evolutionary approaches to multiobjective optimization using six carefully chosen test functions. Each test function involves a particular feature that is known to cause difficulty in the evolutionary optimization process, mainly in converging to the Pareto-optimal front (e.g., multimodality and deception). By investigating these different problem features separately, it is possible to predict the kind of problems to which a certain technique is or is not well suited. However, in contrast to what was suspected beforehand, the experimental results indicate a hierarchy of the algorithms under consideration. Furthermore, the emerging effects are evidence that the suggested test functions provide sufficient complexity to compare multiobjective optimizers. Finally, elitism is shown to be an important factor for improving evolutionary multiobjective search.
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            A Fuzzy Definition of “Optimality” for Many-Criteria Optimization Problems

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              Multi-objective optimal path planning using elitist non-dominated sorting genetic algorithms

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                Author and article information

                Journal
                Journal of Applied Mathematics
                Journal of Applied Mathematics
                Hindawi Limited
                1110-757X
                1687-0042
                2014
                2014
                : 2014
                :
                : 1-8
                Article
                10.1155/2014/104518
                2bd0be65-cb40-486f-af65-c023abd12e30
                © 2014

                http://creativecommons.org/licenses/by/3.0/

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