• 제목/요약/키워드: interior point methods

검색결과 130건 처리시간 0.027초

내부점 방법에서 Augmented System의 촐레스키 분해 (Cholesky Factorization of the Augmented System in Interior Point Methods for Linear Programming)

  • 도승용;성명기;박순달
    • 한국경영과학회지
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    • 제28권1호
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    • pp.51-61
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    • 2003
  • In the normal equations approach in which the ordering and factorization phases are separated, the factorization in the augmented system approach is computed dynamically. This means that in the augmented system the numerical factorization should be performed to obtain the non-zero structure of Cholesky factor L. This causes much time to set up the non-zero structure of Cholesky factor L. So, we present a method which can separate the ordering and numerical factorization in the augmented system. Experimental results show that the proposed method reduces the time for obtaining the non-zero structure of Cholesky factor L.

Robust D-Stability and D-Stabilization of Dynamic Interval Systems

  • Mao, Wei-Jie;Chu, Jian
    • International Journal of Control, Automation, and Systems
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    • 제5권5호
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    • pp.594-600
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    • 2007
  • A sufficient condition for the robust D-stability of dynamic interval systems is proposed in this paper. This D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of matrix inequalities defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as previous results. This condition is also extended to the robust D-stabilization problem of dynamic interval systems, which supplies an effective synthesis procedure for any LMI D-region. The proposed conditions can be simplified to a set of LMIs, which can be solved by efficient interior point methods in polynomial time.

Design of GBSB Neural Network Using Solution Space Parameterization and Optimization Approach

  • Cho, Hy-uk;Im, Young-hee;Park, Joo-young;Moon, Jong-sup;Park, Dai-hee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제1권1호
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    • pp.35-43
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    • 2001
  • In this paper, we propose a design method for GBSB (generalized brain-state-in-a-box) based associative memories. Based on the theoretical investigation about the properties of GBSB, we parameterize the solution space utilizing the limited number of parameters sufficient to represent the solution space and appropriate to be searched. Next we formulate the problem of finding a GBSB that can store the given pattern as stable states in the form of constrained optimization problems. Finally, we transform the constrained optimization problem into a SDP(semidefinite program), which can be solved by recently developed interior point methods. The applicability of the proposed method is illustrated via design examples.

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Inelastic lateral-torsional buckling strengths of stepped I-beams subjected to general loading condition

  • Park, Jong Sup;Park, Yi Seul
    • Structural Engineering and Mechanics
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    • 제48권2호
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    • pp.275-289
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    • 2013
  • The cross sections of multi-span beams are sometimes suddenly increased at the interior support of continuous beams to resist high negative moment. An earlier study on elastic lateral torsional buckling of stepped beams was conducted to propose new design equations. This research aims to continue the earlier study by considering the effect of inelastic buckling of stepped beams subjected to pure bending and general loading condition. A three-dimensional finite element-program ABAQUS and a statistical program MINITAB were used in the development of new design equations. The inelastic lateral torsional buckling strengths of 36 and 27 models for singly and doubly stepped beams, respectively, were investigated. The general loading condition consists of 15 loading cases based on the number of inflection point within the unbraced length of the stepped beams. The combined effects of residual stresses and geometrical imperfection were also considered to evaluate the inelastic buckling strengths. The proposed equations in this study will definitely improve current design methods for the inelastic lateral-torsional buckling of stepped beams and will increase efficiency in building and bridge design.

CFDS기법에 연계된 특성경계조건에 응용성에 대한 소개 (Applications of Characteristic Boundary Conditions within CFDS Numerical Framework)

  • 홍승규;이광섭
    • 한국전산유체공학회지
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    • 제5권1호
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    • pp.43-59
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    • 2000
  • Characteristic boundary conditions are discussed in conjunction with a flux-difference splitting formulation as modified from Roe's linearization. Details of how one can implement the characteristic boundary conditions which are made compatible with the interior point formulation are described for different types of boundaries including subsonic outflow and adiabatic wall. The validity of boundary conditions are demonstrated through computation of transonic airfoil, supersonic ogive-cylinder, hypersonic cylinder, and S-duct internal flows. The computed wall pressure distributions are compared with published experimental and computed data. Objectives of this paper are thus to give insight of formulation procedure of a flux-difference splitting method and to pave ways for other users to adopt present boundary procedure on their numerical methods.

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NEW TECHNIQUE IN THE USE OF VIBRO-ACOUSTICAL RECIPROCITY WITH APPLICATION TO THE NOISE TRANSFER FUNCTION MEASUREMENT

  • Ko, K.H.;Kook, H.S.;Heo, S.J.
    • International Journal of Automotive Technology
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    • 제7권2호
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    • pp.173-177
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    • 2006
  • A noise transfer function(NTF) is the frequency response function between an input force applied to an exterior point of a vehicle body and the resultant interior sound pressure usually measured at the driver's ear position. It represents the measure of noise sensitivity for the output force transmitted to the joints between the body and chassis. The principle of vibro-acoustic reciprocity is often utilized in the measurement of NTF. One difficulty in using the volume source is that most of the previously proposed methods require the knowledge of the volume velocity of the acoustic source in advance. A new method proposed in the present work does not require any calculation related with the volume velocity of the acoustic source, but still yields even more accurate results both in the amplitude and phase of the NTF. In the present work, the new method is applied to obtain NTF data for a midsize sedan.

Controller Design for Fuzzy Systems via Piecewise Quadratic Value Functions

  • Park, Jooyoung;Kim, JongHo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권3호
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    • pp.300-305
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    • 2004
  • This paper concerns controller design for the Takagi-Sugeno (TS) fuzzy systems. The design method proposed in this paper is derived in the framework of the optimal control theory utilizing the piecewise quadratic optimal value functions. The major part of the proposed design procedure consists of solving linear matrix inequalities (LMIs). Since LMIs can be solved efficiently within a given tolerance by the recently developed interior point methods, the design procedure of this paper is useful in practice. A design example is given to illustrate the applicability of the proposed method.

생태적 건축 관점에서 본 도요 이토 건축에 관한 연구 (A Study of the Toyo Ito's Architecture on the Perspective of Ecology)

  • 유연숙
    • 한국가구학회지
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    • 제23권4호
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    • pp.372-380
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    • 2012
  • Architecture is the result of reflecting paradigm. As the paradigms and architectures are changing, architect between them are not free by no means. As changes occur continuously, it is important to acknowledge the flows of change and to do some roles in that flows. Toyo Ito is one of the architects who confront the contemporary situations, find the problem and struggle to containing it in his architectural world. He tries to accept and reorganize the phenomenon that appears today's society. Contemporary architecture is showing many aspects on the ground of ecological paradigm. Therefore fresh architectural methods are being quested. This study point at one aspect of Toyo Ito's architectural feature - eco-friendly- which have domiant influences on his architecture philosophy. This notion also has important role on Toyo Ito's past and present activities.

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REBA 기법을 이용한 PET병 제조공정의 인간공학적 분석 (Ergonomic Analysis of Manufacturing Process for PET Bottle by REBA Technique)

  • 김화식;공병채;정선환;최성대
    • 한국산업융합학회 논문집
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    • 제12권4호
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    • pp.203-208
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    • 2009
  • Lacks of harmony of a person and machine according to productivity elevation pursuit is happened by enterprise common problem in Global competition age and productivity loss is caused being connected to worker's burden work. Burden work in PET bottle production Process which are arrangement, Packing, interior inspection is analyzed by Ergonomic analysis technique. REBA estimation point(10~11 points) means the high step of hazard on worker's burden. It is immediately required the improvement on the process. This thesis show you the improving methods like package, examination justice.

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시간 영역 음향 경계요소법에서의 비유일성 문제 해결을 위한 방법에 관하여 (On the Solution Method for the Non-uniqueness Problem in Using the Time-domain Acoustic Boundary Element Method)

  • 장해원;이정권
    • 한국음향학회지
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    • 제31권1호
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    • pp.19-28
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    • 2012
  • Kirchhoff 적분식을 이용하여 외부 음향 문제의 시간 영역 응답을 계산하는 경우, 주파수영역 해석과 마찬가지로 가상적인 내부 음향 모드에 기인한 비유일성 문제가 발생한다. 이를 해결하는 방법들 중의 하나로서 CHIEF(Combined Helmholtz Integral Equation Formulation) 방법이 쓰이는데, 이는 몇몇 내부 수음점의 응답을 0으로 추가하여 구속하는 조건을 부가하는 기법이다. 이 기법은 주파수 영역 경계요소법에서는 간편한 수식 때문에 많이 사용되고 있지만, 시간 영역에서는 사용된 예가 없다. 본 연구에서는 대상체 내부의 가상 수음점과 경계 표면의 절점들간의 최소 거리에 대한 지연시간을 고려하여, 계산하고자 하는 미지수인 현재 시간의 경계 표면 음장을 구속함으로써, 시간 영역 해석에 적합하도록 CHIEF 방법을 수식화하였다. 예제로서, 반지름 방향으로 진동하는 구의 음향 방사 문제를 다루었다. CHIEF 방법을 적용함에 따라 저차의 내부 음향 모드에 기인한 비유일성 문제를 해결할 수 있었고, 비요동 모드에 의한 수치적 불안정성을 피할 수 있었다. 그러나, 유효주파수 밖에 남은 내부 음향의 고차모드들에 의한 수치적 불안정성은 증가하였다.