• Title/Summary/Keyword: discrete models

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The (S -1 , S) Inventory Model with Drder Size Dependent Dilivery Times

  • Kang, SukHo;Park, Jeonghun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.12 no.1
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    • pp.1-9
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    • 1987
  • This paper considers (S -1, S) inventory models which have wide applications in reparable spare parts inventory systems and multi-echelon systems. We assume a discrete compounds Poisson demand and order size dependent delivery times ; when the replenishment order size is n, we assume the delivery time distribution is arbitrary with finite mean $b_{n}$ . On the basis of the fact the outstanding orders follow a certain queueing process, we introduce the results of Fakinos (1982). We develop the efficient recursive formulae to find the optimal $S^{*}$ under several performance measures as a function of the decision variable S. The results of this paper can be applied to the multi-echelon systems such as MEETRIC.C.

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DISCRIMINANT ANALYSIS OF LOGICAL RELATIONS

  • Osawa, Mitsuru
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2000.04a
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    • pp.157-162
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    • 2000
  • Discriminant analysis is a method to relate whether the objects have a specific characteristic or not with their 'continuous' attribute values and, for given objects, to estimate whether they have a specific characteristic or not by their values of discriminant scores gotten from their attribute values. The author developed the new 'computational' method of discriminant analysis without specific hypotheses or assumptions and, by this new method, we can find 'feasible' solutions under the conditions required by our actual problems. In this paper, the author tried to apply this new method to the discrimination of logical relations. If this trial could be a success, we can apply this new method of discriminant analysis to the problems about relating the specific characteristic of the objects with their 'discrete' attribute values. The result was successful and the applicability of discriminant analysis could be expanded as a method for constructing the models for "estimating impressions".

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Two-scale approaches for fracture in fluid-saturated porous media

  • de Borst, Rene;Rethore, Julien;Abellan, Marie-Angele
    • Interaction and multiscale mechanics
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    • v.1 no.1
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    • pp.83-101
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    • 2008
  • A derivation is given of two-scale models that are able to describe deformation and flow in a fluid-saturated and progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a fluid-saturated porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fractures are independent from the underlying discretization. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due to the cohesive crack model and the nonlinearity of the coupling terms. A consistent linearization is given for use within a Newton-Raphson iterative procedure. Finally, examples are given to show the versatility and the efficiency of the approach.

Reconstruction of structured models using incomplete measured data

  • Yu, Yan;Dong, Bo;Yu, Bo
    • Structural Engineering and Mechanics
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    • v.62 no.3
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    • pp.303-310
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    • 2017
  • The model updating problems, which are to find the optimal approximation to the discrete quadratic model obtained by the finite element method, are critically important to the vibration analysis. In this paper, the structured model updating problem is considered, where the coefficient matrices are required to be symmetric and positive semidefinite, represent the interconnectivity of elements in the physical configuration and minimize the dynamics equations, and furthermore, due to the physical feasibility, the physical parameters should be positive. To the best of our knowledge, the model updating problem involving all these constraints has not been proposed in the existed literature. In this paper, based on the semidefinite programming technique, we design a general-purpose numerical algorithm for solving the structured model updating problems with incomplete measured data and present some numerical results to demonstrate the effectiveness of our method.

Modeling of a Pulverized Coal Combustion With Applying WSGGM (희체가스 가중합산모델을 적용한 미분탄 연소의 해석)

  • Yu, Myoung-Jong;Baek, Seung-Wook
    • 한국연소학회:학술대회논문집
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    • 1999.10a
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    • pp.155-163
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    • 1999
  • A numerical study for simulating a swirling pulverized coal combustion in axisymmetric geometry is done here by applying the weighted sum of gray gases model (WSGGM) approach with the discrete ordinate method (DOM) to model the radiative heat transfer equation. In the radiative transfer equation, the same polynomial equation and coefficients for weighting factors as those for gas are adopted for the coal/char particles as a function of partial pressure and particle temperature. The Eulerian balance equations for mass, momentum, energy, and species mass fractions are adopted with the standard ${\kappa}-{\varepsilon}$ turbulence model, whereas the Lagrangian approach is used for the particulate phase for soot. The eddydissipation model is employed for the reaction rate for gaseous mixture, and the single-step first-order reaction model for the devolatilization process for coal. By comparing the numerical results with experimental ones, the models used here are confirmed and found to be one of good alternatives for simulating the combustion as well as radiative characteristics.

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STRUCTURE OF APÉRY-LIKE SERIES AND MONOTONICITY PROPERTIES FOR BINOMIAL SUMS

  • Alkan, Emre
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.225-242
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    • 2017
  • A family of $Ap{\acute{e}}ry$-like series involving reciprocals of central binomial coefficients is studied and it is shown that they represent transcendental numbers. The structure of such series is further examined in terms of finite combinations of logarithms and arctangents with arguments and coefficients belonging to a suitable algebraic extension of rationals. Monotonicity of certain quotients of weighted binomial sums which arise in the study of competitive cheap talk models is established with the help of a continuous extension of the discrete model at hand. The monotonic behavior of such quotients turns out to have important applications in game theory.

A Study on the Dynamic Simulation of High Speed Current Collection System (고속 집전계의 동적 수치모의해석 프로그램 연구)

  • Hur, S.;Kyung, J.H.;Song, D.H.;Kim, J.S.;Cho, Y.H.
    • Journal of the Korean Society for Railway
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    • v.5 no.1
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    • pp.10-17
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    • 2002
  • In this study, we have developed the static and dynamic simulation program of a high speed current collection system. The catenary wire is modeled to discrete masses connected by massless strings and the pantograph is replaced with 3 d.o.f equivalent models that are composed of masses, springs and dampers. We derived partial differential equations of motion from the equivalent model and developed the simulation program. Then, we calculated the static equilibrium state of the overhead catenary and the dynamic behaviors of the high speed current collection system. The analysis results were compared with the results of GASENDO software developed at RTRI in Japan.

Analysis of Factors Affecting Traffic Accident Severity on Freeway Climbing Lanes (고속도로 오르막차로 교통사고 심각도 영향요인 분석)

  • Youn, Seokmin;Joo, Shinhye;Lee, Seolyoung;Oh, Cheol
    • International Journal of Highway Engineering
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    • v.17 no.6
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    • pp.85-95
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    • 2015
  • PURPOSES : The objective of this study is to analyze factors affecting traffic accident severity for determining countermeasures on freeway climbing lanes. METHODS : In this study, an ordered probit model, which is a widely used discrete choice model for categorizing crash severity, was employed. RESULTS : Results suggest that factors affecting traffic accident severity on climbing lanes include speed, drowsy driving, grade of uphill 3%, gender (male offender and male victim), and cloud weather. CONCLUSIONS : Several countermeasures are proposed for improving traffic safety on freeway climbing lanes based on the analysis of crash severity. More extensive analysis with a larger data set and various modeling techniques are required for generalizing the results.

Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan;Park Jin-Bae;Joo Young-Hoon;Kim Sung-Ho
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.506-515
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    • 2006
  • This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Application of Model Based Predictive Control with Kalman Filter to Natural Circulation Water Tube Boiler

  • Kim, Tae-Shin;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1146-1151
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    • 2005
  • This paper deals with the control problem of a natural circulation water tube boiler with constraint conditions. Some linearized models for the water tube boiler are proposed around some operating points, and the model based predictive control law is adopted to control the plant accounting for constraints. In this controller, the Kalman filter is used for the state estimation, and the controller is designed based on the linearized model. The control performance of the designed controller is exemplified via some nonlinear simulations around the operation point, which show it works well.

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