• Title/Summary/Keyword: exponential order

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Adaptive Exponential Smoothing Method Based on Structural Change Statistics (구조변화 통계량을 이용한 적응적 지수평활법)

  • Kim, Jeong-Il;Park, Dae-Geun;Jeon, Deok-Bin;Cha, Gyeong-Cheon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.165-168
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    • 2006
  • Exponential smoothing methods do not adapt well to unexpected changes in underlying process. Over the past few decades a number of adaptive smoothing models have been proposed which allow for the continuous adjustment of the smoothing constant value in order to provide a much earlier detection of unexpected changes. However, most of previous studies presented ad hoc procedure of adaptive forecasting without any theoretical background. In this paper, we propose a detection-adaptation procedure applied to simple and Holt's linear method. We derive level and slope change detection statistics based on Bayesian statistical theory and present distribution of the statistics by simulation method. The proposed procedure is compared with previous adaptive forecasting models using simulated data and economic time series data.

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Analysis of a Crack Propagating Along the Gradient in Functionally Gradient Materials with Exponential Property Gradation (지수형적 물성변화를 갖는 함수구배 재료에서 구배방향을 따라 전파하는 균열 해석)

  • Lee, Kwang-Ho
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.113-118
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    • 2003
  • Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has exponentially varying elastic and physical properties along the direction of the crack propagation, are derived. The equations of motion in nonhomogeneous material are developed using displacement potentials. The solutions to the displacement fields and the stress fields for a crack propagating at constant speed along the gradient are obtained through an asymptotic analysis. The influences of nonhomogeneity on the higher order terms of the stress fields are explicitly brought out. Using these stress components, isochromatic fringes around the stationary crack are generated at crack for different nonhomogeneity and the effects of nohonhomgeneity on these fringes are discussed.

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Nonlinear cylindrical bending analysis of E-FGM plates with variable thickness

  • Kaci, Abdelhakim;Belakhdar, Khalil;Tounsi, Abdelouahed;Bedia, El Abbes Adda
    • Steel and Composite Structures
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    • v.16 no.4
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    • pp.339-356
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    • 2014
  • This paper presents a study of the nonlinear cylindrical bending of an exponential functionally graded plate (simply called E-FG) with variable thickness. The plate is subjected to uniform pressure loading and his geometric nonlinearity is introduced in the strain-displacement equations based on Von-Karman assumptions. The material properties of functionally graded plates, except the Poisson's ratio, are assumed to vary continuously through the thickness of the plate in accordance with the exponential law distribution; and the solution is obtained using Hamilton's principle for constant plate thickness. In order to analyze functionally graded plate with variable thickness, a numerical solution using finite difference method is used, where parabolic variation of the plate thickness is studied. The results for E-FG plates are given in dimensionless graphical forms; and the effects of material and geometric properties on displacements and normal stresses through the thickness are determined.

Exponentially Fitted Error Correction Methods for Solving Initial Value Problems

  • Kim, Sang-Dong;Kim, Phil-Su
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.167-177
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    • 2012
  • In this article, we propose exponentially fitted error correction methods(EECM) which originate from the error correction methods recently developed by the authors (see [10, 11] for examples) for solving nonlinear stiff initial value problems. We reduce the computational cost of the error correction method by making a local approximation of exponential type. This exponential local approximation yields an EECM that is exponentially fitted, A-stable and L-stable, independent of the approximation scheme for the error correction. In particular, the classical explicit Runge-Kutta method for the error correction not only saves the computational cost that the error correction method requires but also gives the same convergence order as the error correction method does. Numerical evidence is provided to support the theoretical results.

Cure Kinetics of Epoxy/Diamine System Modified with Malononitrile by Barrett Method and Integral Method (Malononitrile에 의해 개질된 Epoxy/Diamine계의 경화반응 속도론: Barrett Method와 Integral Method)

  • Cheon, In-Suk;Don, Yun-Seung;Sim, Mi-Ja;Kim, Sang-Uk
    • Korean Journal of Materials Research
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    • v.4 no.5
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    • pp.574-580
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    • 1994
  • This study is about cure kinetics of DGEBA/MDA/MN(malononitrile) system by Barrett method and Integral method using DSC dynamic run. Curing behavior was shown through DSC and the heat change involved in a reaction could be measured directly with DSC. The kinetic parameters such as activation energy, pre-exponential factor and reaction order were given by Barrett method and Integral method obtained in an assumption that the area of DSC enthalpic analysis curve was propotional to the enthalpic change.

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On NBUL class at specific age

  • Mahmoud, M.A.W.;Moshref, M.E.;Gadallah, A.M.
    • International Journal of Reliability and Applications
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    • v.15 no.1
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    • pp.11-22
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    • 2014
  • New classes of life distributions called new better (worse) than used at age $t_0$ in Laplace transform order, NBUL- $t_0$(NWUL - $t_0$) are introduced. For the classes NBUL - $t_0$(NWUL - $t_0$), preservation under convolution, mixture, mixing and the homogeneous Poisson shock model are studied. In the sequel, we obtain a test for $H_0$ : F is exponential versus $H_1$ : F is NBUL - $t_0$ and not exponential. The critical values and the powers of this test are calculated to assess the performance of the test. It is shown that the proposed test has high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed test for practical problems.

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The Study on Strategy for Industrial Accident Prevention by the Industrial Accident Rate Forecasting in Korea (한국에서 산업재해율 예측에 의한 산업재해방지 전략에 관한 연구)

  • Kang, Young-Sig;Kim, Tae-Gu;Ahn, Kwang-Hyuk;Choi, Do-Lim;Jung, U-Na;Lee, Seong-Ho;Park, Min-Ah;Lee, Seol;Kim, Seong-Hyun
    • Proceedings of the Safety Management and Science Conference
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    • 2011.04a
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    • pp.177-183
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    • 2011
  • Korea has performed strategies for the third industrial accident prevention in order to minimize industrial accident. However, the occupational fatality rate and industrial accident rate appears to be stagnated for 11 years. Therefore, this paper forecasts the occupational fatality rate and industrial accident rate for 10 years. Also, this paper applies regression method (RA), exponential smoothing method (ESM), double exponential smoothing method (DESM), autoregressive integrated moving average (ARIMA) model and proposed analytical function method (PAFM) for trend of industrial accident. Finally, this paper suggests fundamental strategies for industrial accident prevention by forecasting of industrial accident rate in the long term.

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A study on the optimized requirement estimation of K-1 tank repair parts (K-1전차 수리부속 최적소요산정에 관한 연구)

  • 김희철;최석철
    • Journal of the military operations research society of Korea
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    • v.26 no.2
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    • pp.39-54
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    • 2000
  • This research is carried out solving problem of reduction in the rate of operation for the k-1 tank in order to increase the availability, caused by the delay in supply of k-1 tank repair parts in field operations. In other words, the study aims to find the most suitable requirement estimate pattern for the main repair parts that are used for k-1 tank. This study intends to present the most suitable requirement estimate pattern for k-1 trank repair pats by comparing the results of repair parts consumption data in relation to their pattern created by the programs of the requirement estimate technique(moving average method) currently used in the Army and adaptive exponential smoothing model. The results of this study numerically proved that the adaptive exponential smoothing model is the most appropriate technique in estimating the requirement for k-1 tank repair parts.

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Predictive Hybrid Redundancy using Exponential Smoothing Method for Safety Critical Systems

  • Kim, Man-Ho;Lee, Suk;Lee, Kyung-Chang
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.126-134
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    • 2008
  • As many systems depend on electronics, concern for fault tolerance is growing rapidly. For example, a car with its steering controlled by electronics and no mechanical linkage from steering wheel to front tires (steer-by-wire) should be fault tolerant because a failure can come without any warning and its effect is devastating. In order to make system fault tolerant, there has been a body of research mainly from aerospace field. This paper presents the structure of predictive hybrid redundancy that can remove most erroneous values. In addition, several numerical simulation results are given where the predictive hybrid redundancy outperforms wellknown average and median voters.

A Fast Calculation of Apparent Soil Resistivity Using Exponential Sampling Method

  • Kang, Min-Jae;Kim, Ho-Chan
    • International Journal of Advanced Culture Technology
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    • v.7 no.4
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    • pp.268-273
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    • 2019
  • The apparent soil resistivity is used for estimating multilayer soil parameters, such as, layer's depth and soil resistivity. The soil parameters are estimated by continuously revising those parameters until the error between the measured and calculated apparent soil resistivity reaches to allowable level. The equation for calculating the apparent soil resistivity is complicated and time consumed, because it is composed of an infinite integral which includes a zero order Bessel's function of the first kind. In this paper, a fast algorithm for calculating the apparent soil resistivity of horizontal multilayer earth structure is proposed using exponential sampling method.