• Title/Summary/Keyword: problem analysis

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MIXED FINITE VOLUME METHOD ON NON-STAGGERED GRIDS FOR THE SIGNORINI PROBLEM

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.4
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    • pp.249-260
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    • 2008
  • In this work we propose a mixed finite volume method for the Signorini problem which are based on the idea of Keller's finite volume box method. The triangulation may consist of both triangles and quadrilaterals. We choose the first-order nonconforming space for the scalar approximation and the lowest-order Raviart-Thomas vector space for the vector approximation. It will be shown that our mixed finite volume method is equivalent to the standard nonconforming finite element method for the scalar variable with a slightly modified right-hand side, which are crucially used in a priori error analysis.

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Feedback Control for Multidimensional Linear Systems and Interpolation Problems for Multivariable Holomorphic Functions

  • Malakorn, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1847-1852
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    • 2004
  • This article provides the connection between feedback stabilization and interpolation conditions for n-D linear systems (n > 1). In addition to internal stability, if one demands performance as a design goal, then there results an n-D matrix Nevanlinna-Pick interpolation problem. Application of recent work on Nevanlinna-Pick interpolation on the polydisk yields a solution of the problem for the 2-D case. The same analysis applies in the n-D case (n > 2), but leads to solutions which are contractive in a norm (the "Schur-Agler norm") somewhat stronger than the $H^{\infty}$ norm. This is an analogous version of the connection between the standard $H^{\infty}$ control problem and an interpolation problem of Nevanlinna-Pick type in the classical 1-D linear time-invariant systems.

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An Awareness of Security Guard Supervisors for Improvement of Security Guard Supervisor System (경비지도사 자격제도 개선에 대한 경비지도사의 인식)

  • Kim, Il Gon
    • Convergence Security Journal
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    • v.13 no.5
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    • pp.167-176
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    • 2013
  • This study was analysis that first, a problem of security guard supervisor system, second, a problem of on the job training, third, a problem of basic and refresher training for improvement of security guard supervisor system that among security guard supervisor by NVivo 10. It was suggestion what improvement about problem.

A Phenomenological Study on Academic Achievement After Experiences of Problem-Based Learning in Students of Physical Therapy (물리치료학과 학생의 PBL수업과 학업성취도에 대한 현상학적 연구)

  • Kim, Janggon
    • Journal of The Korean Society of Integrative Medicine
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    • v.2 no.4
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    • pp.83-90
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    • 2014
  • Purpose : PBL is a teaching method to learn problem-solving process. Present study was to investigate the predictors of academic achievement when PBL is applied to students of physical therapy. Method : We Performed in-depth interviews and analyzed using the qualitative analysis by randomly assigning 5 of twenty four students who attended the class. Result : The results are classified into two categories and six sub-subjects. Based on two system of classification, PBL showed the learning effect through problem-solving methods because students directly participated in these processes. Also, students need to clearly comprehend communication method and decision-making process in order to progress the class smoothly. Conclusion : Therefore, futher studies will be continuously needed on how we apply PBL to various curriculums of physical therapy.

Case Study : An analysis on Problem Solving Processes of Gifted Math Students (수학영재아의 문제해결 과정에 따른 사례 연구 - 수학적 사고능력을 중심으로 -)

  • Jung, Chan-Sik;Roh, Eun-Hwan
    • The Mathematical Education
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    • v.48 no.4
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    • pp.455-467
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    • 2009
  • During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

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Optimum Sensitivity of Objective Function Using Equality Constraint (등제한조건을 이용한 목적함수에 대한 최적민감도)

  • Shin Jung-Kyu;Lee Sang-Il;Park Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.12 s.243
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    • pp.1629-1637
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    • 2005
  • Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.

THE USE OF MATHEMATICAL PROGRAMMING FOR LINEAR REGRESSION PROBLEMS

  • Park, Sung-Hyun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.3 no.1
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    • pp.75-79
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    • 1978
  • The use of three mathematical programming techniques (quadratic programming, integer quadratic programming and linear programming) is discussed to solve some problems in linear regression analysis. When the criterion is the minimization of the sum of squared deviations and the parameters are linearly constrained, the problem may be formulated as quadratic programming problem. For the selection of variables to find "best" regression equation in statistics, the technique of integer quadratic programming is proposed and found to be a very useful tool. When the criterion of fitting a linear regression is the minimization of the sum of absolute deviations from the regression function, the problem may be reduced to a linear programming problem and can be solved reasonably well.ably well.

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Performance Analysis of Heuristic Algorithms for Consolidated Transportation with Weight and Volume Constraints (무게와 부피를 고려하는 경험적 공동수송 흔적 알고리듬의 성능분석)

  • Rim, Suk-Chul;Yoo, Youngjin
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.1
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    • pp.105-111
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    • 2002
  • When transporting multiple items by trucks of various size, one needs to assign a group of items to each truck so as to minimize the total cost, while meeting the weight and volume constraint of each truck. In this paper, we formulate the problem as an integer programming problem and propose four heuristic algorithms for the problem. Computer simulation is used to evaluate the average performance of the four heuristic algorithms for the consolidated transportation problem.

Complexity of the Fire Sequencing Problem

  • Lee, Kyung-Sik;Kwon, O-Jeong;Park, Sung-Soo;Park, Kyung-Chul
    • Management Science and Financial Engineering
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    • v.5 no.2
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    • pp.55-59
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    • 1999
  • In this note, we introduce the Fire Sequencing Problem, which arises in military operations. Given m weapons, n fixed targets nad required duration of firing of the weapons on the targets, we want to determine the start time of firing on each target so that makespan is miniized while satisfying various operational constraints. We show that the decision problem of the Fire Sequencing problem is strongly NP-complete and remains strongly NP-complete even if the number of weapons is two. We also briefly discuss the results with respect to the complexities of several well-known scheduling models.

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Development of S-ARIZ for the Creative Problem Solving Process (창의적 문제 해결 프로세스를 위한 S-ARIZ 개발)

  • Park, Il-Woo;Choi, Seong-Hoon
    • Journal of Applied Reliability
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    • v.15 no.1
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    • pp.12-18
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    • 2015
  • TRIZ is one of the most famous tools for creative problem solving. However, it is said that TRIZ is complicated and difficult to understand and apply to solve problems. In order to resolve these difficulties, this paper presents S-ARIZ, a simplified ARIZ(the algorithm for inventive problem solving). S-ARIZ revised ARIZ-85C on two ways. First, cause and effect analysis is used to define core technical contradictions and control parameters for the physical contradictions. Second, we add 5 inventive principles which revised SIT(systematic inventive thinking) partially to IFR-1 definition (Step 3-2 of ARIZ-85C) to solve the intensified technical contradictions systematically and effectively. It is expect that S-ARIZ can contribute to the rapid spread of TRIZ.