• 제목/요약/키워드: Levenberg-Marquardt's optimization

검색결과 7건 처리시간 0.017초

최적화 알고리즘을 이용한 복개터널 물성값의 역해석 (Back Analysis for the Properties of Cut and Cover Tunnel using Optimization Algorithms)

  • 박병수;전상현
    • 한국방재학회 논문집
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    • 제8권1호
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    • pp.81-87
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    • 2008
  • 본 연구는 복개터널 안정해석시 이용되는 불확실한 지반물성값을 계측자료로부터 최적화하는 역해석에 관한 연구이다. 이 문제에 적합한 최적화 알고리즘을 선택하기 위하여 Simplex방법, Powell방법, Rosenbrock방법, Leverberg-Marquardt방법의 최적화 알고리즘을 가상의 지반굴착문제에 적용하여 소정의 정확성으로 최적해를 구할 수 있는 신뢰도와 변수평가에 소요되는 연산속도에 관하여 비교분석하였다. 해석결과 각 방법모두 허용규준을 만족한 후 정해에 수렴하였고, 함수평가에 소요되는 연산속도에서 최소자승법의 Levenberg-Marquardt방법과 Rossenbrock방법이 효율적으로 수행되는 것으로 나타났다. 한편 복개터널의 탄성계수와 포아송비를 역해석한 결과 역해석시 고려되는 계측점의 수가 증가할수록 설계변수를 정확하게 평가할 수 있었으며 소요되는 연산속도도 개선되는 것으로 나타났다.

손실 반공간에 묻힌 원통형 산란체의 검출 및 영상제구성에 의한 식별 (Iterative Teconstruction of a Cylinder Buried in the Lossy Half Space)

  • 김정석;나정웅
    • 한국전자파학회논문지
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    • 제11권6호
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    • pp.939-945
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    • 2000
  • 손실 반공간 묻혀 원동형 산란체와 주면 매질의 특성을 반복 기법 최적화 역산란을 적용하여 구했다. 산란파는 경계요소법을 이용하여 계산하였으며 산란체의 크기, 위치 내부매질의 비유전율, 도전율, 주변 매질의 비유전율, 도전율 등의 파라미터는 측정 산란파로부터 유전 알고리즘과 Levenberg-Marquardt 알고리즘의 혼합 알고리즘을 이요하여 역으로 계산하였다. 산란타의 측정오차에 의한 illposedness는 파수 영역에서 자수함수적으로 감쇠하는 감쇠모드를 제거하여 안정하시켰다.

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The RTD Measurement on a Submerged Bio-Reactor using a Radioisotope Tracer and the RTD Analysis

  • Seungkwon Shin;Kim, Jongbum;Sunghee Jung;Joonha Jin
    • International Journal of Control, Automation, and Systems
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    • 제1권2호
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    • pp.210-214
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    • 2003
  • This paper presents a residence time distribution (RTD) measurement method using a radioisotope tracer and the estimation method of RTD model parameters to analyze a submerged bio-reactor. The mathematical RTD models have been investigated to represent the flow behavior and the existence of stagnant regions in the reactor. Knowing the parameters of the RTD model is important for understanding the mixing characteristics of a reactor The radioisotope tracer experiment was carried out by injecting a radioisotope tracer as a pulse into the inlet of the reactor and recording the change of its concentration at the outlet of the reactor to obtain the experimental RTD response. The parameter estimation was performed by the Levenberg-Marquardt optimization algorithm. The proposed scheme allowed the parameter estimation of RTD model suggested by Adler-Hovorka with very low deviations. The estimation procedure is shown to lead to accurate estimation of the RTD parameters and to a good agreement between experimental and simulated response.

최소자승법을 이용한 준설토 문제의 System Identification (System Identification on Dredged Soil Problems using Least Square Method)

  • 유남재;박병수;김영길;이명욱
    • 산업기술연구
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    • 제19권
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    • pp.127-133
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    • 1999
  • This paper is a research about system identification which optimizes uncertain geothechnical properties from the data measured during geotechnical design and construction. Various numerical optimization algorithms of Simplex method, Powell method, Rosenbrock method and Levenberg-Marquardt method were applied to the excavation problem to determine which method showed the best results with respect to robustness of success in finding an optimal solution to within a certain accuracy and number of function evaluations. From the results of numerical analysis, all of four algorithms are converged to exact solution after satisfying the allowed criteria, and Levenberg-Marquardt's algorithms was identified to be the most efficient method in number of function evaluations. System identification was applied to geotechnical engineering problems, possibly being occurred in field, to verify its applicability : estimation of settlement due to self-weight consolidation in dredged and filled soil. For self-weight consolidational settlement of a dredged soil, a program of evaluating the constitutive relationship of effective stress-void ratio-permeability was developed by using the technique of system identification. Thus, consolidational characteristics of a dredged soil, having a very high initial void ratio, can be evaluated.

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Extraction of Passive Device Model Parameters Using Genetic Algorithms

  • Yun, Il-Gu;Carastro, Lawrence A.;Poddar, Ravi;Brooke, Martin A.;May, Gary S.;Hyun, Kyung-Sook;Pyun, Kwang-Eui
    • ETRI Journal
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    • 제22권1호
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    • pp.38-46
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    • 2000
  • The extraction of model parameters for embedded passive components is crucial for designing and characterizing the performance of multichip module (MCM) substrates. In this paper, a method for optimizing the extraction of these parameters using genetic algorithms is presented. The results of this method are compared with optimization using the Levenberg-Marquardt (LM) algorithm used in the HSPICE circuit modeling tool. A set of integrated resistor structures are fabricated, and their scattering parameters are measured for a range of frequencies from 45 MHz to 5 GHz. Optimal equivalent circuit models for these structures are derived from the s-parameter measurements using each algorithm. Predicted s-parameters for the optimized equivalent circuit are then obtained from HSPICE. The difference between the measured and predicted s-parameters in the frequency range of interest is used as a measure of the accuracy of the two optimization algorithms. It is determined that the LM method is extremely dependent upon the initial starting point of the parameter search and is thus prone to become trapped in local minima. This drawback is alleviated and the accuracy of the parameter values obtained is improved using genetic algorithms.

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A computational estimation model for the subgrade reaction modulus of soil improved with DCM columns

  • Dehghanbanadaki, Ali;Rashid, Ahmad Safuan A.;Ahmad, Kamarudin;Yunus, Nor Zurairahetty Mohd;Said, Khairun Nissa Mat
    • Geomechanics and Engineering
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    • 제28권4호
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    • pp.385-396
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    • 2022
  • The accurate determination of the subgrade reaction modulus (Ks) of soil is an important factor for geotechnical engineers. This study estimated the Ks of soft soil improved with floating deep cement mixing (DCM) columns. A novel prediction model was developed that emphasizes the accuracy of identifying the most significant parameters of Ks. Several multi-layer perceptron (MLP) models that were trained using the Levenberg Marquardt (LM) backpropagation method were developed to estimate Ks. The models were trained using a reliable database containing the results of 36 physical modelling tests. The input parameters were the undrained shear strength of the DCM columns, undrained shear strength of soft soil, area improvement ratio and length-to-diameter ratio of the DCM columns. Grey wolf optimization (GWO) was coupled with the MLPs to improve the performance indices of the MLPs. Sensitivity tests were carried out to determine the importance of the input parameters for prediction of Ks. The results showed that both the MLP-LM and MLP-GWO methods showed high ability to predict Ks. However, it was shown that MLP-GWO (R = 0.9917, MSE = 0.28 (MN/m2/m)) performed better than MLP-LM (R =0.9126, MSE =6.1916 (MN/m2/m)). This proves the greater reliability of the proposed hybrid model of MLP-GWO in approximating the subgrade reaction modulus of soft soil improved with floating DCM columns. The results revealed that the undrained shear strength of the soil was the most effective factor for estimation of Ks.

이중 절단 기법을 이용한 조위자료의 확률밀도함수 추정 (Estimation of Probability Density Function of Tidal Elevation Data using the Double Truncation Method)

  • 정신택;조홍연;김정대;고동휘
    • 한국해안·해양공학회논문집
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    • 제20권3호
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    • pp.247-254
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    • 2008
  • 조 등(2004)에 의하여 연안 조위 발생빈도 분포함수로 제시된 쌍봉형 정규분포는 관측조위의 발생빈도와 매우 잘 일치하고 있으나 Monte-Carlo 모의기법을 이용하는 신뢰성 설계과정에서 수백만개의 조위를 발생하는 경우 비현실적인 조위가 발생되어 과대 또는 과도설계가 발생한다. 따라서 본 연구에서는 비현실적인 조위발생을 원천적으로 차단하기 위하여 경계조위 상한-하한을 설정하여 분포함수의 범위를 제한하는 이중절단 쌍봉형 정규분포 함수를 제안하였으며, 제안된 함수분포에 포함된 매개변수를 비선형최적화기법을 이용하여 추정-제시하였다. 제안된 분포함수는 기존의 쌍봉형 정규분포에 비하여 뚜렷하게 정량적으로 크게 개선되는 모습을 보이지는 않으나, 신뢰성 설계과정에서 비현실적인 조위발생의 가능성을 제거할 수 있으며, 비현실적인 조위발생으로 유발되는 설계인자의 비현실적인 과대 및 과소평가 가능성도 자동적으로 제거되는 효과를 기대할 수 있는 것으로 파악되었다.