• Title/Summary/Keyword: Mathematical Models

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Integrating Multiple Mathematical Models for Supply Chain Optimization (공급사슬 최적화를 위한 다중의 수리적 모델 활용 구조)

  • 한현수
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2001.10a
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    • pp.97-100
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    • 2001
  • 제조 기업의 가치사슬 최적화를 위한 전략적, 운영상 의사결정 문제는 수리적 모델을 이용한 DSS의 효과적인 활용을 통하여 해결 될 수 있다. 의사결정 프로세스는 필연적으로 공급사슬의 여러 성과 목표와 관련 조직간의 Trade-off 및 연계관계(Interaction)가 고려되므로 복수의 DSS 활용이 필요하게 된다. 이와 관련하여 본 논문에서는 공급 사슬 전체의 최적화를 위한 다수의 전략적 목표 및 의사결정 프로세스, 연계된 수리적 모델들을 정의하고, 관련 조직 및 성과 지표 별 부분적 최적화(Local Optimality)를 지양하고 전체최적화 (Global Optimality)를 달성하기 위한 DSS Logic을 철강산업 프로세스를 대상으로 수리적 모델들의 분할(Decomposition) 및 통합개념을 통하여 제시하였다.

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A Mathematical Programming Approach for Block Storage Problem in Shipbuilding Process (수리 모형을 이용한 조선 산업에서의 블록 적치장 최적 운영 계획 도출)

  • Ha, Byung-Hyun;Son, Jung-Ryoul;Cho, Kyu Kab;Choi, Byung-Cheon
    • Korean Management Science Review
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    • v.30 no.3
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    • pp.99-111
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    • 2013
  • This paper studies the scheduling problem of storing and retrieving assembly blocks in a temporary storage yard. The objective is to minimize the number of relocations of blocks while the constraints for storage and retrieval time windows are satisfied. We present an integer programming model based on multi-commodity network flows, and the three revised models based on the properties of the problem. We show that the revised models are more efficient than the generic model through the numerical experiments.

REMARKS ON NONTOPOLOGICAL SOLUTIONS IN THE SELF-DUAL CHERN-SIMONS GAUGED O(3) SIGMA MODELS

  • Choi, Nari;Han, Jongmin
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.765-777
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    • 2016
  • In this paper, we prove the existence of nontopological solutions to the self-dual equations arising from the Chern-Simons gauged O(3) sigma models. The property of solutions depends on a parameter ${\tau}{\in}[-1,1]$ appearing in the nonlinear term. The case ${\tau}=1$ lies on the borderline for the existence of solutions in the previous results [4, 5, 7]. We prove the existence of solutions in this case when there are only vortex points. Moreover, if $-1{\leq}{\tau}$<1, we establish solutions which are perturbed from the solutions of singular Liouville equations.

ROBUST TEST BASED ON NONLINEAR REGRESSION QUANTILE ESTIMATORS

  • CHOI, SEUNG-HOE;KIM, KYUNG-JOONG;LEE, MYUNG-SOOK
    • Communications of the Korean Mathematical Society
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    • v.20 no.1
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    • pp.145-159
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    • 2005
  • In this paper we consider the problem of testing statistical hypotheses for unknown parameters in nonlinear regression models and propose three asymptotically equivalent tests based on regression quantiles estimators, which are Wald test, Lagrange Multiplier test and Likelihood Ratio test. We also derive the asymptotic distributions of the three test statistics both under the null hypotheses and under a sequence of local alternatives and verify that the asymptotic relative efficiency of the proposed test statistics with classical test based on least squares depends on the error distributions of the regression models. We give some examples to illustrate that the test based on the regression quantiles estimators performs better than the test based on the least squares estimators of the least absolute deviation estimators when the disturbance has asymmetric and heavy-tailed distribution.

The uncertainty problem analysis of the engineering solution for prediction and estimation of the operating regime to design of gas- hydro-dynamic systems

  • Kartovitskiy, Lev;Tsipenko, Anton;Lee, Ji-Hyung
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.459-468
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    • 2009
  • Analysis of the uncertainty to have engineering solution of gas-dynamic and hydrodynamic problems is based on the comparison the prospective engineering solution with experimental result. In this paper, the mathematical model to estimate heat flux along gas-dynamic channel wall and the solution sequence are shown. Statistical information and generalizing experimental characteristics about gas- and hydro-dynamic channels were applied to the mathematical model. As the results, it is possible to draw a conclusion that models of the integrated approach, using the averaged statistical data of generalizing characteristics for a turbulent flow, without consideration of the turbulent mechanism (characteristic pulsations), can predict a nominal operating regime for gas-dynamic and hydrodynamic systems. The probable deviation of operating regime for newly designed the gas-dynamic channel can achieve 20% from a regime predicted on a basis 1-D or 3-D modelling irrespective of a kind of used models.

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ILLUMINANCE DURING A SOLAR ECLIPSE WITH LIMB DARKENING: A MATHEMATICAL MODEL

  • Lee, Sung Hwan;Lee, Siyul
    • Journal of The Korean Astronomical Society
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    • v.45 no.5
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    • pp.111-116
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    • 2012
  • We present a mathematical model that predicts the variation of illuminance during a solar eclipse, considering continuous effects of limb darkening. We assume that (1) the Sun and the Moon constitute perfect spheres, (2) the Moon crosses the Sun with a constant apparent velocity, and (3) sunspots, prominences, and coronae can be neglected. We compare predictions of this model with actual measurements made by M$\ddot{o}$llmann & Vollmer (2006) during a total solar eclipse in Turkey, and with predictions of existing models. The new model is shown to describe the actual phenomenon more accurately than existing models.

Performance Analysis for CO2 System with Sub-cooling loop (과냉 회로를 갖는 이산화탄소 냉동시스템에 대한 성능 해석)

  • Kim, Jin-Man;Ko, Sung-Gyu;Kim, Moo-Geun
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.6
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    • pp.723-728
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    • 2007
  • In order to evaluate the performance of carbon dioxide cycle with a sub-cooling loop. a simulation system was developed to predict the steady state of $CO_2$ trans-critical cycle. Mathematical models are derived to describe the relationships between the system's coefficient of performance and other operating parameters The mathematical models are based entirely on the basic mass and energy conservation law and thermodynamic and transport properties of carbon dioxide A parametric study has been conducted in order to investigate the effect of sub-cooling loop and various operating conditions on the cycle performance. An optimal mass fraction of a refrigerant flowing through sub-cooling cycle existed for the given evaporating temperature, high pressure and air inlet temperature through gas cooler.

A Study on the Application and Development of Automatic Design Program (자동설계프로그램 개발 및 활용에 관한 연구)

  • Lee, Sung-Soo;Kim, Min-Ju;Kim, Tae-Ho;Kim, Seung-Wook;Park, Jeung-Bo;Jeon, Eon-Chan
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1179-1186
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    • 2003
  • This study is described about development method and application of developed automatic design program. Automatic design program is the object-oriented program which based on mathematical algorithm. Automatic design program can do mathematic operation according to program contents. Also it can do modeling of shape. Shape modeling method is based on mathematical and geometrical algorithm. And created models can generate NC manufacturing program from CAM software. Also STL file format that is changed form created models can do RP manufacturing.

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Design Analysis and Experimental Evaluation of an MR Fluid Clutch (자기장 및 유동 해석을 이용한 자기유변 클러치의 성능 예측 및 검증)

  • Lee, U-Seop;Kim, Tae-Gyun;Heo, Nam-Geon;Jeon, Do-Yeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2143-2150
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    • 2000
  • An MRC(Magneto-rheological Clutch) has a great potential of application because of its good transmissibility, little wear-out and fast response to electrical control signal. Though many MRCs have been developed for years, there has not been an research on the method to predict the performance of MRC except the simplified mathematical models. But the simplified mathematical models do not fit well since their performance has close relations with shapes of clutches and viscosity distribution throughout the fluids caused by applied magnetic fields. in this study, the CFD and FEM analyses were applied to various shape of MRC and the methods were examined in experiments.

A Design of Behavioral Simulation Platform for Near Field Communication Transceiver using MATLAB Simulink (MATLAB simulink를 이용한 Near-Field Communication 송수신기의 behavioral simulation 플랫폼 설계)

  • Ahn, Deok-Ki;Bae, Sang-Geun;Hwang, In-Chul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.10
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    • pp.1917-1922
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    • 2010
  • Near-Field Communication (NFC) is a short-range wireless communication technology evolved from RFID especially for the exchange of data between active and passive devices. This paper presents the mathematical models for the signal path of a NFC transceiver system and a behavioral simulation platform using MATLAB simulink. The approximated mathematical models simplify the simulation complexity of a transceiver and provide a quick evaluation. With this calculation platform, we can evaluate the system performance caused by the noise and the non-linearity of the individual blocks, and caused by system variables such as Effective Number of Bits (ENOB) of ADC and filter cutoff frequency. This platform provides us with a rapid prototyping, a reliable system design, and an efficient risk management during development of the NFC transceiver ICs.