• Title/Summary/Keyword: matrix comparison

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Analysis of Consciousness Structure R&D Project Evaluation (연구개발 프로젝트 평가에 대한 의식구조분석)

  • 김성희;김정자
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.4
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    • pp.61-68
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    • 2002
  • This paper provides a method of consciousness structure analysis for research and development project evaluation using fuzzy structure modeling(FSM). Fuzzy structure modeling, which is a modeling method for consciousness structure, has a large number of pairwise comparison by human subjective judgement and is difficult to check the consistency index of denoting the precision for human judgement. Thus, in this paper, we analyzed the structure of consciousness by fuzzy structural modeling method, introducing the concept of pairwise comparison matrix in Analytic Hierarchy Process.

Tool Development for Evaluation of Quantitative Independency Between FRs in Axiomatic Design

  • Hwang, Yun-Dong;Cha, Sung-Woon;Kang, Young-Ju
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.2
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    • pp.52-60
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    • 2002
  • Axiomatic Design is the one of many useful methods for making a good design. In this method, the independency of Functional Requirements (FRs) is an important property to determine whether the design is good or not. Until now so many designers have decided the independency between FRs by their own decisions. The way depending on inspiration is simple and fast, but it can not be considered as a precise conclusion. Also there are not exact rule that evaluate the quantitative independence between FRs. This paper will show the way to evaluate the quantitative independence of FRs from the comparison between FRs of lower levels, and develop more efficient and objective tool in Axiomatic Design.

Dynamic analysis of semi-rigidly connected and partially embedded piles via the method of reverberation-ray matrix

  • Yan, Wei;Chen, W.Q.
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.269-289
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    • 2012
  • Free vibration and dynamic responses of piles semi-rigidly connected with the superstructures are investigated. Timoshenko beam theory is employed to characterize the pile partially embedded in a two-parameter elastic foundation. The formulations for the method of reverberation-ray matrix (MRRM) are then derived to investigate the dynamics of the pile with surface cracks, which are modeled as massless rotational springs. Comparison with existent numerical and experimental results indicates the proposed method is very effective and accurate for dynamic analysis, especially in the high frequency range. Finally, the effects of some physical parameters on the natural frequencies, frequency responses and transient responses of the piles are studied.

Edge Detection Using the Co-occurrence Matrix (co-occurrence 행렬을 이용한 에지 검출)

  • 박덕준;남권문;박래홍
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.11
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    • pp.111-119
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    • 1992
  • In this paper, we propose an edge detection scheme for noisy images based on the co-occurrence matrix. In the proposed scheme based on the step edge model, the gray level information is simply converted into a bit-map, i.e., the uniform and boundary regions of an image are transformed into a binary pattern by using the local mean. In this binary bit-map pattern, 0 and 1 densely distributed near the boundary region while they are randomly distributed in the uniform region. To detect the boundary region, the co-occurrence matrix on the bit-map is introduced. The effectiveness of the proposed scheme is shown via a quantitative performance comparison to the conventional edge detection methods and the simulation results for noisy images are also presented.

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Micromechanical failure analysis of composite materials subjected to biaxial and off-axis loading

  • Ahmadi, Isa
    • Structural Engineering and Mechanics
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    • v.62 no.1
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    • pp.43-54
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    • 2017
  • In this study, the failure behavior of composite material in the biaxial and off-axis loading is studied based on a computational micromechanical model. The model is developed so that the combination of mechanical and thermal loading conditions can be considered in the analysis. The modified generalized plane strain assumption of the theory of elasticity is used for formulation of the micromechanical modeling of the problem. A truly meshless method is employed to solve the governing equation and predict the distribution of micro-stresses in the selected RVE of composite. The fiber matrix interface is assumed to be perfect until the interface failure occurs. The biaxial and off-axis loading of the SiC/Ti and Kevlar/Epoxy composite is studied. The failure envelopes of SiC/Ti and Kevlar/Epoxy composite in off-axis loading, biaxial transverse-transverse and axial-transverse loading are predicted based on the micromechanical approach. Various failure criteria are considered for fiber, matrix and fiber-matrix interface. Comparison of results with the available results in the litreture shows excellent agreement with experimental studies.

PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR Z-MATRICES LINEAR SYSTEMS

  • Shen, Hailong;Shao, Xinhui;Huang, Zhenxing;Li, Chunji
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.303-314
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    • 2011
  • For Ax = b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P = I + S (${\alpha}$) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P = I + S (${\alpha}$) + $\bar{K}({\beta})$ as a preconditioner. We present some comparison theorems, which show the rate of convergence of the new method is faster than the basic method and the method in [7] theoretically. Numerical examples show the effectiveness of our algorithm.

Statistical Characteristics of Response Consistency Parameters in Analytic Hierarchy Process (AHP에서의 응답일관성 모수의 통계적 특성과 활용 방안)

  • 고길곤;이경전
    • Journal of the Korean Operations Research and Management Science Society
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    • v.26 no.4
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    • pp.71-82
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    • 2001
  • Using the computer simulation method, we invest19ate the probability distribution of maximum eigenvalue of pair-wise comparison matrix, which has been used as a parameter for measuring the consistency of responses in analytic hierarchy process (AHP). We show that the shape of the distribution of the maximum eigenvalue is different according to the dimension of the matrix. In addition, we cannot find any evidence that the distribution of the Consistency Index is a Normal distribution, which has been claimed in the Previous literature. Accordingly, we suggest using so called K-index calcu1ated based on the concept of cumulative distribution function lather than based on that of arithmetic mean because the probabilistic distribution cannot be assumed to be a Normal distribution. We interpret the simulation results by comparing them with the suggestion of Saaty[11]. Our results show that using Saaty's value could be too generous when the dimension of the matrix is 3 and strict over 4. Finally, we propose new criteria for measuring the response consistency in AHP.

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A simplified matrix stiffness method for analysis of composite and prestressed beams

  • Deretic-Stojanovic, Biljana;Kostic, Svetlana M.
    • Steel and Composite Structures
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    • v.24 no.1
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    • pp.53-63
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    • 2017
  • The paper presents the simplified matrix stiffness method for analysis of composite and prestressed beams. The method is based on the previously developed "exact" analysis method that uses the mathematical theory of linear integral operators to derive all relations without any mathematical simplifications besides inevitable idealizations related to the material rheological properties. However, the method is limited since the closed-form solution can be found only for specific forms of the concrete creep function. In this paper, the authors proposed the simplified analysis method by introducing the assumption that the unknown deformations change linearly with the concrete creep function. Adopting this assumption, the nonhomogeneous integral system of equations of the "exact" method simplifies to the system of algebraic equations that can be easily solved. Therefore, the proposed method is more suitable for practical applications. Its high level of accuracy in comparison to the "exact" method is preserved, which is illustrated on the numerical example. Also, it is more accurate than the well-known EM method.

A Comparison of Algorithms for Computing Some-to-some Shortest Path on Street Networks (도로 네트워크에서의 Some-to-some 최단경로 생성 알고리듬 성능비교)

  • Kim Byeong-In;Jeong Sang-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1164-1169
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    • 2006
  • 본 논문은 차량운행경로문제(Vehicle Routing Problem)의 기본적인 정보가 되는 Origin-Destination (OD) Matrix 의 생성에 관한 문제를 다룬다. OD Matrix 를 만들기 위해서는 몇 개의 지점으로부터 몇 개의 지점(some-to-some)까지의 최단 거리를 계산해야 한다. 이를 위해 Dijkstra 알고리듬과 같은 one-to-all 알고리듬을 반복하여 사용할 수 있고 Floyd-Washall 알고리듬과 같은 all-to-all 알고리듬을 사용할 수 있으며 some-to-some 을 위해 고안된 알고리듬을 사용할 수 있다. 본 연구에서는 이러한 알고리듬들이 실제 도로 네트워크의 OD Matrix 를 생성할 때 어떤 성능을 보이는지 비교 분석한다.

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The finite element model research of the pre-twisted thin-walled beam

  • Chen, Chang Hong;Zhu, Yan Fei;Yao, Yao;Huang, Ying
    • Structural Engineering and Mechanics
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    • v.57 no.3
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    • pp.389-402
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    • 2016
  • Based on the traditional mechanical model of thin-walled straight beam, the paper makes analysis and research on the pre-twisted thin-walled beam finite element numerical model. Firstly, based on the geometric deformation differential relationship, the Saint-Venant warping strain of pre-twisted thin-walled beam is deduced. According to the traditional thin-walled straight beam finite element mechanical model, the finite element stiffness matrix considering the Saint-Venant warping deformations is established. At the same time, the paper establishes the element stiffness matrix of the pre-twisted thin-walled beam based on the classic Vlasov Theory. Finally, by calculating the pre-twisted beam with elliptical section and I cross section and contrasting three-dimensional solid finite element using ANSYS, the comparison analysis results show that pre-twisted thin-walled beam element stiffness matrix has good accuracy.