• 제목/요약/키워드: Numerical example

검색결과 2,179건 처리시간 0.023초

Flow Shop에서 준비시간이 작업순서에 종속적인 경우의 휴리스틱 알고리듬의 개발 (A Heuristic Algorithm for $n/m/D/F/F_{max}$)

  • 최성운
    • 산업경영시스템학회지
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    • 제8권11호
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    • pp.79-83
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    • 1985
  • This paper is to develop four heuristic algorithms for $n/m/D/F/F_{max}$. A study present numerical example for (H1) algorithm. Among the sequence generated, the best sequence is J2, J1, J6, J7, J4, J3, J5 and makespan is 528. The optimal makespan of this numerical example can be found as 528 as also, and the worst value of heuristic solution is only 7.2 % away from it.

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적분행렬을 이용한 비선형 운동방정식 수치적분 (Numerical Integration of Non-linear Equation of Motion using Operation of Integration)

  • 이동헌;권재욱;최수진;류동영;주광혁
    • 항공우주기술
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    • 제13권2호
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    • pp.60-65
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    • 2014
  • 본 논문에서는 적분 행렬을 이용한 수치적분 방법을 연구하였다. 비선형 운동방정식에 대한 빠른 수치적분을 수행하기 위해, 적분 행렬을 이용한 개선된 fixed point iteration 방법을 소개한다. 예제로는 궤도 운동에 대한 수치적분 예를 고려한다. 수치 예제를 통하여, 본 논문에서 연구되는 알고리듬이 적분의 정밀도는 크게 저하시키지 않음과 동시에, 계산시간 측면에서 효과적이라는 것을 보인다.

Development of Numerical and Graph Interpretation Skills - Prerequisites for Statistical Literacy

  • Watson, Jane M.;Kelly, Ben A.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제10권4호
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    • pp.259-288
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    • 2006
  • This study considers the performance of students in Grades 5 to 10 on four tasks assessing students' ability to evaluate data presented in numerical form, for example, in a list or table, or in graphical form, for example, in a frequency graph or scatter graph. The ability to tell a story from data or a graph is an important aspect of statistical literacy. The samples provide the opportunity to consider the association of two pairs of items, one from each type of interpretation, numerical and graphical. Educational implications for the outcomes and the classroom use of the items are considered.

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정량적 추적자-회피자 게임을 위한 수치해석기 (A numerical solver for quantitative pursuit-evasion game)

  • 이훈구;탁민제
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.474-477
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    • 1996
  • In this paper, a numerical method is developed to solve the 2 dimensional missile/target persuit-evasion game. The numerical solver for the problem is composed of two parts: parametrization of the kinematic equations of motion using collocation and optimization of the parametrized minimax problem using a nonlinear programming. A numerical example is solved to verify the performance of the proposed numerical scheme.

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여러 스팬을 갖는 티모센코 보 구조물의 이동하중에 의한 진동 해석 (Vibration Analysis of Multi-Span Timoshenko Beams Due to Moving Loads)

  • 홍성욱;김종욱
    • 대한기계학회논문집A
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    • 제23권11호
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    • pp.2058-2066
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    • 1999
  • The present paper proposes a new dynamic analysis method for multi-span Timoshenko beam structures supported by joints with damping subject to moving loads. An exact dynamic element matrix method is adopted to model Timoshenko beam structures. A generalized modal analysis method is applied to derive response formulae for beam structures subject to moving loads. The proposed method offers an exact and closed form solution. Two numerical examples are provided for validating and illustrating the proposed method. In the first numerical example, a single span beam with multiple moving loads is considered. A dynamic analysis on a multi-span beam under a moving load is considered as the second example, in which the flexibility and damping of supporting joints are taken into account. The numerical study proves that the proposed method is useful for the vibration analysis of multi-span beam-hype structures by moving loads.

Numerical solution of linear elasticity by preconditioning cubic spline collocation

  • Lee, Yong-Hun
    • 대한수학회논문집
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    • 제11권3호
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    • pp.867-880
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    • 1996
  • Numerical approximations to the linear elasticity are traditionally based on the finite element method. In this paper we propose a new formulation based on the cubic spline collocation method for linear elastic problem on the unit square. We present several numerical results for the eigenvalues of the matrix represented by cubic collocation method and preconditioner matrix which is preconditioned by FEM and FDM. Finally we present the numerical solution for some example equation.

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Computational Solution of a H-J-B equation arising from Stochastic Optimal Control Problem

  • Park, Wan-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.440-444
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    • 1998
  • In this paper, we consider numerical solution of a H-J-B (Hamilton-Jacobi-Bellman) equation of elliptic type arising from the stochastic control problem. For the numerical solution of the equation, we take an approach involving contraction mapping and finite difference approximation. We choose the It(equation omitted) type stochastic differential equation as the dynamic system concerned. The numerical method of solution is validated computationally by using the constructed test case. Map of optimal controls is obtained through the numerical solution process of the equation. We also show how the method applies by taking a simple example of nonlinear spacecraft control.

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Improvement of the fast Kalman algorithm's numerical stability

  • Joo, S.S.;Chung, C.S.;Yang, H.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집(한일합동학술편); 한국과학기술대학, 충남; 16-17 Oct. 1987
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    • pp.827-831
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    • 1987
  • The analysis of a certian example and simulations given in the previous sections show that the modified FKA is more stable than the standard FKA without loss of the performance of it. The general analysis of modified FKA's numerical stability is the open problem with more simulations in order to prove the stability of it.

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용접에서 발생하는 변태소성을 고려한 용접공정의 유한요소 해석 (Finite element analysis of welding process in consideration of transformation plasticity in welding)

  • 임세영
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2003년도 춘계학술발표대회 개요집
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    • pp.210-212
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    • 2003
  • Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical example.

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Numerical modeling of an orthotropic RC slab band system using the Barcelona model

  • Kossakowski, Pawel G.;Uzarska, Izabela
    • Advances in Computational Design
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    • 제4권3호
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    • pp.211-221
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    • 2019
  • Numerical modeling of reinforced concrete structures is a difficult engineering problem, primarily because of the material inhomogeneity. The behaviour of a concrete element with reinforcement can be analyzed using, for example, the Barcelona model, which according to the literature, is one of the most suitable models for this purpose. This article compares the experimental data obtained for an orthotropic concrete slab band system with those predicted numerically using Concrete Damage Plasticity model. Abaqus package was used to perform the calculations.