• 제목/요약/키워드: non-dominated sorting genetic algorithm (NSGA)

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다목적 최적화를 위한 Goal-Pareto 기반의 NSGA-II 알고리즘 (Goal-Pareto based NSGA-II Algorithm for Multiobjective Optimization)

  • 박순규;이수복;이원철
    • 한국통신학회논문지
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    • 제32권11A호
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    • pp.1079-1085
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    • 2007
  • NSGA (Non-dominated Sorting Algorithm) 는 다목적 최적화 분야에서 널리 사용되고 있는 비지배 정렬 기반의 유전자 알고리즘으로 최적화를 요구하는 분야에서 널리 사용되고 있다. 하지만 연산의 복잡도, 사전 우수해 선별 조건의 미흡함과 공유 변수값 결정의 어려움등이 문제로 제기 되었고, 이러한 단점을 보완한 NSGA-II(Non-dominated Sorting Algorithm-B) 알고리즘이 제안되었다. 그러나 기존의 NSGA-II알고리즘은 다목적 최적화 알고리즘과 동일하게 목적치를 최대화 또는 최소화시키는 방향으로 최적화가 진행되어 선택적인 최적화 수행이 어렵다. 이러한 문제점을 보완하기 위하여 본 논문에서는 NSGA-II알고리즘이 가지는 장점을 바탕으로 설계자의 요구조건에 종속적으로 최적화 과정을 수행할 수 있는 GBNSGA-II (Goal-pareto Based NSGA-II)를 제안하고 기존의 NSGA-II알고리즘과 비교를 통해 성능의 우수성을 검증하였다.

다중모드 Cognitive Radio 통신 시스템을 위한 GBNSGA 최적화 알고리즘 (GBNSGA Optimization Algorithm for Multi-mode Cognitive Radio Communication Systems)

  • 박준수;박순규;김진업;김형중;이원철
    • 한국통신학회논문지
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    • 제32권3C호
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    • pp.314-322
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    • 2007
  • 본 논문에서는 CR(Cognitive Radio)을 위해 사용자에게 최적의 통신 시스템 구성 변수들을 할당하기 위한 새로운 최적화 알고리즘인 GBNSGA(Goal-Pareto Based Non-dominated Sorting Genetic Algorithm)를 제안한다. 다중모드 선택적 CR 통신을 위해 사용되는 cognitive 엔진은 Mitola가 제안한 cognition 싸이클의 많은 논리 연산과정이 필요하다는 단점을 보완하기 위하여 일반적으로 유전자 알고리즘 기반의 접근 방식이 사용되고 있다. 본 논문에서는 cognitive 엔진의 효율적인 구동을 위하여 파레토(Pareto) 기반의 최적화 알고리즘인 NSGA(Non-dominated Sorting Genetic Algorithm)와 사용자 서비스의 요구사항을 goal로 설정하는 GP(Goal Programming)을 결합한 새로운 최적화 방법으로 GBNSGA를 제안하였으며, 시뮬레이션 수행을 통해 제안된 알고리즘이 요구사항에 적합한 다양한 해를 제공하고 최적화 수렴속도가 빠르다는 것을 확인하였다.

Combined Economic and Emission Dispatch with Valve-point loading of Thermal Generators using Modified NSGA-II

  • Rajkumar, M.;Mahadevan, K.;Kannan, S.;Baskar, S.
    • Journal of Electrical Engineering and Technology
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    • 제8권3호
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    • pp.490-498
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    • 2013
  • This paper discusses the application of evolutionary multi-objective optimization algorithms namely Non-dominated Sorting Genetic Algorithm-II (NSGA-II) and Modified NSGA-II (MNSGA-II) for solving the Combined Economic Emission Dispatch (CEED) problem with valve-point loading. The valve-point loading introduce ripples in the input-output characteristics of generating units and make the CEED problem as a non-smooth optimization problem. IEEE 57-bus and IEEE 118-bus systems are taken to validate its effectiveness of NSGA-II and MNSGA-II. To compare the Pareto-front obtained using NSGA-II and MNSGA-II, reference Pareto-front is generated using multiple runs of Real Coded Genetic Algorithm (RCGA) with weighted sum of objectives. Furthermore, three different performance metrics such as convergence, diversity and Inverted Generational Distance (IGD) are calculated for evaluating the closeness of obtained Pareto-fronts. Numerical results reveal that MNSGA-II algorithm performs better than NSGA-II algorithm to solve the CEED problem effectively.

NSGA-II Technique for Multi-objective Generation Dispatch of Thermal Generators with Nonsmooth Fuel Cost Functions

  • Rajkumar, M.;Mahadevan, K.;Kannan, S.;Baskar, S.
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.423-432
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    • 2014
  • Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is applied for solving Combined Economic Emission Dispatch (CEED) problem with valve-point loading of thermal generators. This CEED problem with valve-point loading is a nonlinear, constrained multi-objective optimization problem, with power balance and generator capacity constraints. The valve-point loading introduce ripples in the input-output characteristics of generating units and make the CEED problem as a nonsmooth optimization problem. To validate its effectiveness of NSGA-II, two benchmark test systems, IEEE 30-bus and IEEE 118-bus systems are considered. To compare the Pareto-front obtained using NSGA-II, reference Pareto-front is generated using multiple runs of Real Coded Genetic Algorithm (RCGA) with weighted sum of objectives. Comparison with other optimization techniques showed the superiority of the NSGA-II approach and confirmed its potential for solving the CEED problem. Numerical results show that NSGA-II algorithm can provide Pareto-front in a single run with good diversity and convergence. An approach based on Technique for Ordering Preferences by Similarity to Ideal Solution (TOPSIS) is applied on non-dominated solutions obtained to determine Best Compromise Solution (BCS).

An Interference Avoidance Method Using Two Dimensional Genetic Algorithm for Multicarrier Communication Systems

  • Huynh, Chuyen Khoa;Lee, Won Cheol
    • Journal of Communications and Networks
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    • 제15권5호
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    • pp.486-495
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    • 2013
  • In this article, we suggest a two-dimensional genetic algorithm (GA) method that applies a cognitive radio (CR) decision engine which determines the optimal transmission parameters for multicarrier communication systems. Because a CR is capable of sensing the previous environmental communication information, CR decision engine plays the role of optimizing the individual transmission parameters. In order to obtain the allowable transmission power of multicarrier based CR system demands interference analysis a priori, for the sake of efficient optimization, a two-dimensionalGA structure is proposed in this paper which enhances the computational complexity. Combined with the fitness objective evaluation standard, we focus on two multi-objective optimization methods: The conventional GA applied with the multi-objective fitness approach and the non-dominated sorting GA with Pareto-optimal sorting fronts. After comparing the convergence performance of these algorithms, the transmission power of each subcarrier is proposed as non-interference emission with its optimal values in multicarrier based CR system.

NSGA-II를 이용한 마이크로 프로펠러 수차 블레이드 최적화 (Optimization of Micro Hydro Propeller Turbine blade using NSGA-II)

  • 김병곤
    • 한국유체기계학회 논문집
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    • 제17권4호
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    • pp.19-29
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    • 2014
  • In addition to the development of micro hydro turbine, the challenge in micro hydro turbine design as sustainable hydro devices is focused on the optimization of turbine runner blade which have decisive effect on the turbine performance to reach higher efficiency. A multi-objective optimization method to optimize the performance of runner blade of propeller turbine for micro turbine has been studied. For the initial design of planar blade cascade, singularity distribution method and the combination of the Bezier curve parametric technology is used. A non-dominated sorting genetic algorithm II(NSGA II) is developed based on the multi-objective optimization design method. The comparision with model test show that the blade charachteristics is optimized by NSGA-II has a good efficiency and load distribution. From model test and scale up calculation, the maximum prototype efficiency of the runner blade reaches as high as 90.87%.

Goal-Pareto 기반의 NSGA 최적화 알고리즘 (Goal-Pareto based NSGA Optimization Algorithm)

  • 박준수;박순규;신요안;유명식;이원철
    • 대한전자공학회논문지SP
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    • 제44권2호
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    • pp.108-115
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    • 2007
  • 본 논문에서는 최적화 알고리즘의 속도를 향상시킬 수 있는 방안으로 설계자가 원하는 목적함수들의 수렴 범위를 Goal로 설정하여 최적화를 수행하는 GBNSGA(Goal-Pareto based Non-dominated Sorting Genetic Algorithm)를 제안한다. 많은 공학문제들은 하나의 목표치를 충족하는 해를 찾는 것이 아니라 다수 목적함수들을 충족하는 해를 찾는 것이 일반적이다 특히, 이러한 목적함수들은 서로 상충적인 관계를 갖는 경우가 대부분이기 때문에 모든 목적함수들을 만족하는 유일해를 찾는 것은 거의 불가능하다. 그 대안으로 일부 목적을 희생하며 설계에 부합되는 최적해를 찾는 파레토(Pareto) 방식의 최적화 알고리즘들에 대한 많은 연구가 진행되었다. 본 논문에서는 이러한 파레토 기반의 최적화 알고리즘들의 성능 향상을 도모하기 위하여 설계자의 목적을 파레토 할당에 반영하는 GBNSGA를 제안하고, 그 성능을 NSGA와 weighted-sum 접근 방식과의 비교를 통해 그 우수성을 검증하였다.

Weighted sum Pareto optimization of a three dimensional passenger vehicle suspension model using NSGA-II for ride comfort and ride safety

  • Bagheri, Mohammad Reza;Mosayebi, Masoud;Mahdian, Asghar;Keshavarzi, Ahmad
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.469-479
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    • 2018
  • The present research study utilizes a multi-objective optimization method for Pareto optimization of an eight-degree of freedom full vehicle vibration model, adopting a non-dominated sorting genetic algorithm II (NSGA-II). In this research, a full set of ride comfort as well as ride safety parameters are considered as objective functions. These objective functions are divided in to two groups (ride comfort group and ride safety group) where the ones in one group are in conflict with those in the other. Also, in this research, a special optimizing technique and combinational method consisting of weighted sum method and Pareto optimization are applied to transform Pareto double-objective optimization to Pareto full-objective optimization which can simultaneously minimize all objectives. Using this technique, the full set of ride parameters of three dimensional vehicle model are minimizing simultaneously. In derived Pareto front, unique trade-off design points can selected which are non-dominated solutions of optimizing the weighted sum comfort parameters versus weighted sum safety parameters. The comparison of the obtained results with those reported in the literature, demonstrates the distinction and comprehensiveness of the results arrived in the present study.

Optimization Approach for a Catamaran Hull Using CAESES and STAR-CCM+

  • Yongxing, Zhang;Kim, Dong-Joon
    • 한국해양공학회지
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    • 제34권4호
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    • pp.272-276
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    • 2020
  • This paper presents an optimization process for a catamaran hull form. The entire optimization process was managed using the CAD-CFD integration platform CAESES. The resistance of the demi-hull was simulated in calm water using the CFD solver STAR-CCM+, and an inviscid fluid model was used to reduce the computing time. The Free-Form Deformation (FFD) method was used to make local changes in the bulbous bow. For the optimization of the bulbous bow, the Non-dominated Sorting Genetic Algorithm (NSGA)-II was applied, and the optimization variables were the length, breadth, and angle between the bulbous bow and the base line. The Lackenby method was used for global variation of the bow of the hull. Nine hull forms were generated by moving the center of buoyancy while keeping the displacement constant. The optimum bow part was selected by comparing the resistance of the forms. After obtaining the optimum demi-hull, the distance between two demi-hulls was optimized. The results show that the proposed optimization sequence can be used to reduce the resistance of a catamaran in calm water.

Design Optimization of Single-Stage Launch Vehicle Using Hybrid Rocket Engine

  • Kanazaki, Masahiro;Ariyairt, Atthaphon;Yoda, Hideyuki;Ito, Kazuma;Chiba, Kazuhisa;Kitagawa, Koki;Shimada, Toru
    • International Journal of Aerospace System Engineering
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    • 제2권2호
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    • pp.29-33
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    • 2015
  • The multidisciplinary design optimization (MDO) of a launch vehicle (LV) with a hybrid rocket engine (HRE) was carried out to investigate the ability of an HRE for a single-stage LV. The non-dominated sorting genetic algorithm-II (NSGA-II) was employed to solve two design problems. The design problems were formulated as two-objective cases involving maximization of the downrange distance over the target flight altitude and minimization of the gross weight, for two target altitudes: 50.0 km and 100.0 km. Each objective function was empirically estimated. Several non-dominated solutions were obtained using the NSGA-II for each design problem, and in each case, a trade-off was observed between the two objective functions. The results for the two design problem indicate that economical performance of the LV is limited with the HRE in terms of the maximum downrange distances achievable. The LV geometries determined from the non-dominated solutions were examined.