• Title/Summary/Keyword: Numerical models

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The study of stochastic inventory model with setup cost and backorder rate (Setup cost와 Backorder rate를 고려한 확률적 재고모형에 관한 연구)

  • 유승우;서창현;김경섭
    • Proceedings of the Korea Society for Simulation Conference
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    • 2003.06a
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    • pp.129-134
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    • 2003
  • In this paper, we determine optimal reduction in the lead time and setup cost for some stochastic inventory models. And we propose more general model that allow the backorder rate as a control variable. We first assume that the lead time demand follows a normal distribution. And we assume that the backorder rate is dependent on the length of lead time through the amount of shortages. The stochastic models analyzed in this paper are the classical continuous and periodic review policy models with a mixture of backorders and lost sales. For each of these models, we provide a sufficient conditions for the uniqueness of the optimal operating policy. We also develop algorithms for solving these models and provide illustrative numerical examples.

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Vibration analysis of FGM beam: Effect of the micromechanical models

  • Hadji, Lazreg
    • Coupled systems mechanics
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    • v.9 no.3
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    • pp.265-280
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    • 2020
  • In this paper, a new refined hyperbolic shear deformation beam theory for the free vibration analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equations of motion are derived from the Hamilton's principle. Navier type solution method was used to obtain frequencies, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the free vibration response of a simply supported FG beams.

EVOLUTIONARY MODELS OF ROTATING DENSE STELLAR SYSTEMS WITH EMBEDDED BLACK HOLES

  • FIESTAS, JOSE A.
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.345-347
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    • 2015
  • We present evolutionary models of rotating self-gravitating systems (e.g. globular clusters, galaxy cores). These models are characterized by the presence of an initial axi-symmetry due to rotation. Central black hole seeds are included in our models, and black hole growth due to the consumption of stellar matter is simulated until the central potential dominates the kinematics of the core. Our goal is to study the long-term evolution (Gyr) of relaxed dense stellar systems which deviate from spherical symmetry, and their morphology and final kinematics. With this purpose in mind, we developed a 2D Fokker-Planck analytical code, and confirmed its results using detailed N-Body simulations, applying a high performance code developed for GPU machines. We conclude that the initial rotation significantly modifies the shape and lifetime of these systems, and cannot be neglected in the study of the evolution of globular clusters, and the galaxy itself. Our models give a constraint for the final intermediate black hole masses expected to be present in globular clusters.

A Study on Nonlinear Analysis of Circular Concrete Beams Confined by Carbon Sheet Tube Using Solid element (Solid Element를 이용한 Carbon Sheet Tube로 구속된 원형 콘크리트 보의 비선형 해석적 연구)

  • 박연호;박진영;이경훈;홍원기;김희철
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.147-154
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    • 2003
  • The purpose of this study is to investigate analytically the flexural behavior characteristics of Circular concrete beams confined by carbon sheet. Nonlinear analysis method is presented to simulate the structural behavior beam models. The proposed analytical hardening models were considered the confinement effect of concrete and the tensile effect of carbon sheet in tensile region of concrete. Prandtl-Reuss numerical formula was used to nonlinear analysis of finite element models. Comparisons analytical models with experimental data obtained from flexural testing in the laboratory were presented. Analytical and experimental models show similar behavior.

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Effect of the micromechanical models on the bending of FGM beam using a new hyperbolic shear deformation theory

  • Zouatnia, Nafissa;Hadji, Lazreg
    • Earthquakes and Structures
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    • v.16 no.2
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    • pp.177-183
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    • 2019
  • In this paper, a new refined hyperbolic shear deformation beam theory for the bending analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the bending response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equilibrium equations are derived from the principle of virtual work. Navier type solution method was used to obtain displacement and stresses, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the flexural response of a simply supported FG beams.

A numerical study on group quantile regression models

  • Kim, Doyoen;Jung, Yoonsuh
    • Communications for Statistical Applications and Methods
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    • v.26 no.4
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    • pp.359-370
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    • 2019
  • Grouping structures in covariates are often ignored in regression models. Recent statistical developments considering grouping structure shows clear advantages; however, reflecting the grouping structure on the quantile regression model has been relatively rare in the literature. Treating the grouping structure is usually conducted by employing a group penalty. In this work, we explore the idea of group penalty to the quantile regression models. The grouping structure is assumed to be known, which is commonly true for some cases. For example, group of dummy variables transformed from one categorical variable can be regarded as one group of covariates. We examine the group quantile regression models via two real data analyses and simulation studies that reveal the beneficial performance of group quantile regression models to the non-group version methods if there exists grouping structures among variables.

Evaluation of mathematical models for prediction of slump, compressive strength and durability of concrete with limestone powder

  • Bazrafkan, Aryan;Habibi, Alireza;Sayari, Arash
    • Advances in concrete construction
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    • v.10 no.6
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    • pp.463-478
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    • 2020
  • Multiple mathematical modeling for prediction of slump, compressive strength and depth of water penetration at 28 days were performed using statistical analysis for the concrete containing waste limestone powder as partial replacement of sand obtained from experimental program reported in this research. To extract experimental data, 180 concrete cubic samples with 20 different mix designs were investigated. The twenty non-linear regression models were used to predict each of the concrete properties including slump, compressive strength and water depth penetration of concrete with waste limestone powder. Evaluation of the models using numerical methods showed that the majority of models give acceptable prediction with a high accuracy and trivial error rates. The 15-term regression models for predicting the slump, compressive strength and water depth were found to have the best agreement with the tested concrete specimens.

Option pricing and profitability: A comprehensive examination of machine learning, Black-Scholes, and Monte Carlo method

  • Sojin Kim;Jimin Kim;Jongwoo Song
    • Communications for Statistical Applications and Methods
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    • v.31 no.5
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    • pp.585-599
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    • 2024
  • Options pricing remains a critical aspect of finance, dominated by traditional models such as Black-Scholes and binomial tree. However, as market dynamics become more complex, numerical methods such as Monte Carlo simulation are accommodating uncertainty and offering promising alternatives. In this paper, we examine how effective different options pricing methods, from traditional models to machine learning algorithms, are at predicting KOSPI200 option prices and maximizing investment returns. Using a dataset of 2023, we compare the performance of models over different time frames and highlight the strengths and limitations of each model. In particular, we find that machine learning models are not as good at predicting prices as traditional models but are adept at identifying undervalued options and producing significant returns. Our findings challenge existing assumptions about the relationship between forecast accuracy and investment profitability and highlight the potential of advanced methods in exploring dynamic financial environments.

The Effects of Water Mist on the Compartment Fire

  • Ryou, Hong-Sun;Kim, Sung-Chan
    • International Journal of Air-Conditioning and Refrigeration
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    • v.12 no.1
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    • pp.30-36
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    • 2004
  • The present study investigates the fire suppression characteristics using a water mist fire suppression system. Numerical simulations of fire suppression with water mist are performed with considering the interaction of fire plume and water spray. The predicted temperature fields of smoke layer are compared with those of measured data. Numerical results agree with the experimental results within $10^{\circ}C$ in the case without water mist. In the case of fire suppression with water mist, numerical results do not predict well for temperature field in the gradual cooling region after water mist injection. But the predicted results of initial fire suppression are in good agreement with those of measured data. The reason for the discrepancy between predicted and measured data is due to the poor combustion modeling during the injection of water mist. More elaborate models for numerical simulation are required for better predictions of the fire suppression characteristics using water mist.

Numerical Study of Turbulent Flow in a Hydrocyclone (하이드로사이클론 내의 난류유동해석)

  • Ju, Jong-Il;Choi, Young-Seok;Lee, Yong-Kab;Kim, Tak-Hyun;Kim, sangyong
    • The KSFM Journal of Fluid Machinery
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    • v.6 no.2 s.19
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    • pp.34-40
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    • 2003
  • Numerical studies have been conducted to predict the solid-liquid separation efficiency of turbulent flow in a hydrocyclone using a commercial CFD code. To validate the CFD code, several preliminary numerical calculations are carried out to determine the influence of parameters such as grid systems, numerical schemes, and turbulence models. The numerical studies have been performed on the hydrocyclones with the different vortex finder geometries by changing the mass flow rate, and the results were compared with the experimental data. The results show that the CFD code can be used as a design tool to improve the performance of hydrocyclones.