• 제목/요약/키워드: deterministic global optimization

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Service ORiented Computing EnviRonment (SORCER) for deterministic global and stochastic aircraft design optimization: part 1

  • Raghunath, Chaitra;Watson, Layne T.;Jrad, Mohamed;Kapania, Rakesh K.;Kolonay, Raymond M.
    • Advances in aircraft and spacecraft science
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    • 제4권3호
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    • pp.297-316
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    • 2017
  • With rapid growth in the complexity of large scale engineering systems, the application of multidisciplinary analysis and design optimization (MDO) in the engineering design process has garnered much attention. MDO addresses the challenge of integrating several different disciplines into the design process. Primary challenges of MDO include computational expense and poor scalability. The introduction of a distributed, collaborative computational environment results in better utilization of available computational resources, reducing the time to solution, and enhancing scalability. SORCER, a Java-based network-centric computing platform, enables analyses and design studies in a distributed collaborative computing environment. Two different optimization algorithms widely used in multidisciplinary engineering design-VTDIRECT95 and QNSTOP-are implemented on a SORCER grid. VTDIRECT95, a Fortran 95 implementation of D. R. Jones' algorithm DIRECT, is a highly parallelizable derivative-free deterministic global optimization algorithm. QNSTOP is a parallel quasi-Newton algorithm for stochastic optimization problems. The purpose of integrating VTDIRECT95 and QNSTOP into the SORCER framework is to provide load balancing among computational resources, resulting in a dynamically scalable process. Further, the federated computing paradigm implemented by SORCER manages distributed services in real time, thereby significantly speeding up the design process. Part 1 covers SORCER and the algorithms, Part 2 presents results for aircraft panel design with curvilinear stiffeners.

Service ORiented Computing EnviRonment (SORCER) for deterministic global and stochastic aircraft design optimization: part 2

  • Raghunath, Chaitra;Watson, Layne T.;Jrad, Mohamed;Kapania, Rakesh K.;Kolonay, Raymond M.
    • Advances in aircraft and spacecraft science
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    • 제4권3호
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    • pp.317-334
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    • 2017
  • With rapid growth in the complexity of large scale engineering systems, the application of multidisciplinary analysis and design optimization (MDO) in the engineering design process has garnered much attention. MDO addresses the challenge of integrating several different disciplines into the design process. Primary challenges of MDO include computational expense and poor scalability. The introduction of a distributed, collaborative computational environment results in better utilization of available computational resources, reducing the time to solution, and enhancing scalability. SORCER, a Java-based network-centric computing platform, enables analyses and design studies in a distributed collaborative computing environment. Two different optimization algorithms widely used in multidisciplinary engineering design-VTDIRECT95 and QNSTOP-are implemented on a SORCER grid. VTDIRECT95, a Fortran 95 implementation of D. R. Jones' algorithm DIRECT, is a highly parallelizable derivative-free deterministic global optimization algorithm. QNSTOP is a parallel quasi-Newton algorithm for stochastic optimization problems. The purpose of integrating VTDIRECT95 and QNSTOP into the SORCER framework is to provide load balancing among computational resources, resulting in a dynamically scalable process. Further, the federated computing paradigm implemented by SORCER manages distributed services in real time, thereby significantly speeding up the design process. Part 1 covers SORCER and the algorithms, Part 2 presents results for aircraft panel design with curvilinear stiffeners.

Global Optimization of Clusters in Gene Expression Data of DNA Microarrays by Deterministic Annealing

  • Lee, Kwon Moo;Chung, Tae Su;Kim, Ju Han
    • Genomics & Informatics
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    • 제1권1호
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    • pp.20-24
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    • 2003
  • The analysis of DNA microarry data is one of the most important things for functional genomics research. The matrix representation of microarray data and its successive 'optimal' incisional hyperplanes is a useful platform for developing optimization algorithms to determine the optimal partitioning of pairwise proximity matrix representing completely connected and weighted graph. We developed Deterministic Annealing (DA) approach to determine the successive optimal binary partitioning. DA algorithm demonstrated good performance with the ability to find the 'globally optimal' binary partitions. In addition, the objects that have not been clustered at small non­zero temperature, are considered to be very sensitive to even small randomness, and can be used to estimate the reliability of the clustering.

신경망의 결정론적 이완에 의한 자기공명영상 분류 (Classification of Magnetic Resonance Imagery Using Deterministic Relaxation of Neural Network)

  • 전준철;민경필;권수일
    • Investigative Magnetic Resonance Imaging
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    • 제6권2호
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    • pp.137-146
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    • 2002
  • 목적: 본 논문에서는 신경망을 이용한 자기공명영상의 분류에 있어 결정론적 이완 방법(deterministic relaxation)과 응집 군집화(agglomerative clustering) 방법에 의한 개선된 영상 분류방법을 제시한다. 제안된 방법은 신경망을 이용한 영상의 분류시 지역적 최소치로의 수렴문제와 입력 패턴의 증대로 인하여 수렴 속가 늦어지는 문제를 해결한다. 대상 및 방법: 신경망을 이용한 영상의 분류는 지역적 계산과 병렬 계산이 가능한 특성을 갖고 있어 기존의 통계적 방법을 대신하는 방법으로 주목을 받고 있다. 그러나 일반적으로 신경망에 의한 분류알고리즘이 지닌 문제점의 하나는 에너지함수가 항상 전역적 최소치로 수렴하지 않고 지역적 최소치로도 수렴할 수 있다는 점이고, 또 다른 문제점은 반복수렴을 수행하는 에너지함수의 수렴속도가 너무 늦다는 점이다. 따라서 지역적 최소치로의 수렴을 방지하고 전역적 최소치로의 수렴속도를 가속화시키기 위하여 본 논문에서는 결정적 이완 알고리즘의 하나인 MFA(Mean Field Annealing) 방법을 적용하여 지역적 최소치로의 수렴문제를 해결하는 방법을 제시한다. MFA는 모의 애닐링의 통계적 성질을 변수의 평균값에 적용하는 결정론적인 수정 법칙들로 대신하고, 이러한 평균값을 최소화함으로서 수렴속도를 개선한 방법이다 아울러 신경망이 갖고 있는 문제점인 과다한 클래스 패턴의 생성에 따른 처리속도 지연의 문제점을 해결하기 위하여 응집 군집화 알고리즘을 이용하여 영상을 구성하는 군집을 결정하여 신경망에 입력되는 값을 초기화하여 영상패턴이 증가되는 것을 제한하였다. 결과: 본 논문에서 제시된 응집 군집화 방법 및 결정론적 이완 방법은 신경망에 의한 자기공명영상의 분류 시 발생할 수 있는 지역적 최적 치로의 수렴 문제를 해결하여 전역적 최적화로 신속히 수렴함을 알 수 있었다. 결론: 본 논문에서는 클러스터의 분석과 결정론적 이완 방법에 의하여 신경망에 의한 자기공명영상의 분류결과를 향상시키기 위한 새로운 방법을 소개하였으며 실험결과를 통하여 그러한 사실을 확인할 수 있었다.

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광역최적화 방법론의 비교 연구 (Comparative study of some algorithms for global optimization)

  • 양승호;이현주;이재욱
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2006년도 추계학술대회
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    • pp.693-696
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    • 2006
  • Global optimization is a method for finding more reliable models in various fields, such as financial engineering, pattern recognition, process optimization. In this study, we compare and analyze the performance of the state-of-the-art global optimization techniques, which include Genetic Algorithm (DE,SCGA), Simulated Annealing (ASA, DSSA, SAHPS), Tabu & Direct Search (DTS, DIRECT), Deterministic (MCS, SNOBIT), and Trust-Region algorithm. The test functions for the experiments are Benchmark problems in Hedar & Fukushima (2004), which are evaluated with respect to efficiency and accuracy. Through the experiment, we analyse the computational complexity of the methods and finally discuss the pros and cons of them.

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Aircraft derivative design optimization considering global sensitivity and uncertainty of analysis models

  • Park, Hyeong-Uk;Chung, Joon;Lee, Jae-Woo
    • International Journal of Aeronautical and Space Sciences
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    • 제17권2호
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    • pp.268-283
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    • 2016
  • Aircraft manufacturing companies have to consider multiple derivatives to satisfy various market requirements. They modify or extend an existing aircraft to meet new market demands while keeping the development time and cost to a minimum. Many researchers have studied the derivative design process, but these research efforts consider baseline and derivative designs together, while using the whole set of design variables. Therefore, an efficient process that can reduce cost and time for aircraft derivative design is needed. In this research, a more efficient design process is proposed which obtains global changes from local changes in aircraft design in order to develop aircraft derivatives efficiently. Sensitivity analysis was introduced to remove unnecessary design variables that have a low impact on the objective function. This prevented wasting computational effort and time on low priority variables for design requirements and objectives. Additionally, uncertainty from the fidelity of analysis tools was considered in design optimization to increase the probability of optimization results. The Reliability Based Design Optimization (RBDO) and Possibility Based Design Optimization (PBDO) methods were proposed to handle the uncertainty in aircraft conceptual design optimization. In this paper, Collaborative Optimization (CO) based framework with RBDO and PBDO was implemented to consider uncertainty. The proposed method was applied for civil jet aircraft derivative design that increases cruise range and the number of passengers. The proposed process provided deterministic design optimization, RBDO, and PBDO results for given requirements.

Study of Hybrid Optimization Technique for Grain Optimum Design

  • Oh, Seok-Hwan;Kim, Yong-Chan;Cha, Seung-Won;Roh, Tae-Seong
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.780-787
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    • 2017
  • The propellant grain configuration is a design variable that determines the shape and performance of a solid rocket motor. Grain configuration variables have complicated effects on the motor performance; so the global optimization problem has to be solved in order to design the configuration variables. The grain performance has been analyzed by means of the grain burn-back and internal ballistic analysis, and the optimization technique searches for the configuration variables that satisfy the requirements. The deterministic and stochastic optimization techniques have been applied for the grain optimization, but the results are imperfect. In this study, the optimization design of the configuration variables has been performed using the hybrid optimization technique, which combines those two techniques. As a result, the hybrid optimization technique has proved to be efficient for the grain optimization design.

초기값의 최적 설정에 의한 최적화용 신경회로망의 성능개선 (Improving the Performances of the Neural Network for Optimization by Optimal Estimation of Initial States)

  • 조동현;최흥문
    • 전자공학회논문지B
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    • 제30B권8호
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    • pp.54-63
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    • 1993
  • This paper proposes a method for improving the performances of the neural network for optimization by an optimal estimation of initial states. The optimal initial state that leads to the global minimum is estimated by using the stochastic approximation. And then the update rule of Hopfield model, which is the high speed deterministic algorithm using the steepest descent rule, is applied to speed up the optimization. The proposed method has been applied to the tavelling salesman problems and an optimal task partition problems to evaluate the performances. The simulation results show that the convergence speed of the proposed method is higher than conventinal Hopfield model. Abe's method and Boltzmann machine with random initial neuron output setting, and the convergence rate to the global minimum is guaranteed with probability of 1. The proposed method gives better result as the problem size increases where it is more difficult for the randomized initial setting to give a good convergence.

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전체 최적화를 위한 확률론적 탐색기법 (Stochastic Search Techniques for Golobal Optimization)

  • 양영순;김기화
    • 전산구조공학
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    • 제5권2호
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    • pp.93-104
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    • 1992
  • 최적화기법의 최종목표는 전체최적점(golbal optimum point)을 정확히 그리고 효율적으로 구하는 것이다. 이를 위해 확률론적인 탐색과정을 가지는 Simulated Annealing과 Genetic Algorithm에 의한 최적화과정을 살펴보고, 수학적함수와 트러스, 보 구조물에 대해 최적설계를 행하여 전체최적점에 도달한 신뢰도 및 계산시간을 기준으로 기존의 확정론적 최적화기법에 의한 결과와 그 유용성을 비교검토하였다.

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유전 알고리즘을 활용한 무인기의 다중 임무 계획 최적화 (Multi-mission Scheduling Optimization of UAV Using Genetic Algorithm)

  • 박지훈;민찬오;이대우;장우혁
    • 한국항공운항학회지
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    • 제26권2호
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    • pp.54-60
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    • 2018
  • This paper contains the multi-mission scheduling optimization of UAV within a given operating time. Mission scheduling optimization problem is one of combinatorial optimization, and it has been shown to be NP-hard(non-deterministic polynomial-time hardness). In this problem, as the size of the problem increases, the computation time increases dramatically. So, we applied the genetic algorithm to this problem. For the application, we set the mission scenario, objective function, and constraints, and then, performed simulation with MATLAB. After 1000 case simulation, we evaluate the optimality and computing time in comparison with global optimum from MILP(Mixed Integer Linear Programming).