• Title/Summary/Keyword: limiting process

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A Study on the Phenomenon of Natural Zoning under COL Storage Policy

  • Lim, Sang-Gyu
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.1
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    • pp.127-134
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    • 1992
  • In this paper, we first examine the stochastic behavior associated with storage/retrieval process under COL policy, and give analytical results such as the limiting distributions of the number of items in the system and the expected travel distance. We also investigate the phenomenon of natural zoning, that is, the tendency of similar items to group themselves together, when two types of items with different turnover rates are stored and retrieved. Natural zoning refers to this grouping occurring under the seemingly unbiased policy COL. We show that zoning can occur naturally with batch arrivals to the storage system.

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ON AN ARRAY OF WEAKLY DEPENDENT RANDOM VECTORS

  • Jeon, Tae-Il
    • Communications of the Korean Mathematical Society
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    • v.16 no.1
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    • pp.125-135
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    • 2001
  • In this article we investigate the dependence between components of the random vector which is given as an asymptotic limit of an array of random vectors with interlaced mixing conditions. We discuss the cross covariance of the limiting vector process and give a stronger condition to have a central limit theorem for an array of random vectors with mixing conditions.

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A Change-point Estimator with Unsymmetric Fourier Series

  • Kim, Jaehee
    • Journal of the Korean Statistical Society
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    • v.31 no.4
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    • pp.533-543
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    • 2002
  • In this paper we propose a change-point estimator with left and right regressions using the sample Fourier coefficients on the orthonormal bases. The window size is different according to the data in the left side and in the right side at each point. The asymptotic properties of the proposed change-point estimator are established. The limiting distribution and the consistency of the estimator are derived.

NEW LM TESTS FOR UNIT ROOTS IN SEASONAL AR PROCESSES

  • Oh, Yu-Jin;So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.447-456
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    • 2007
  • On the basis of marginal likelihood of the residual vector which is free of nuisance mean parameters, we propose new Lagrange Multiplier seasonal unit root tests in seasonal autoregressive process. The limiting null distribution of the tests is the standardized ${\chi}^2-distribution$. A Monte-Carlo simulation shows the new tests are more powerful than the tests based on the ordinary least squares (OLS) estimator, especially for large number of seasons and short time spans.

The Uniform Law of Large Numbers for the Baker Transformation

  • Bae, Jong-Sig;Hwang, Chang-Ha;Shim, Joo-Yong
    • Communications for Statistical Applications and Methods
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    • v.16 no.1
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    • pp.157-162
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    • 2009
  • The baker transformation is an ergodic transformation defined on the half open unit square. This paper considers the limiting behavior of the partial sum process of a martingale sequence constructed from the baker transformation. We get the uniform law of large numbers for the baker transformation.

Temperature and Concentration-dependences of Tolaasin-induced Hemolysis

  • Cho, Kwang-Hyun;Bhan, Sung-Soo;Kim, Young-Kee
    • Proceedings of the Korean Biophysical Society Conference
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    • 2002.06b
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    • pp.41-41
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    • 2002
  • Tolaasin, a pore-forming 1.9 kDa peptide toxin released by Pseudomonas tolaasii, produces brown blotch disease on cultivated oyster mushrooms. To investigate the mechanism of tolaasin-induced cell disruption, we studied the effect of temperature on the hemolytic process. In the kinetic analyses, single exponential function was fitted to the data obtained from temperature-dependent velocity of hemolysis(1/t$\_$50/, implying that there is a major time-limiting factor on the temperature-dependent hemolysis.(omitted)

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The study on the Electrical Property of the Fuse Element Notch (휴즈엘리먼트의 노치형태에 따른 전기적 특성 연구)

  • Lee, Sei-Hyun;Lee, Byung-Sung;Han, Sang-Ok;Kim, Jong-Suk;Lee, Deok-Chool
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.1153-1155
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    • 1993
  • This paper presents some experimental result of current limiting, fusing and short circuit interruption behavior by notch construction of thin copper film $35{\mu}m$ on epoxy substrate. A fuse-link having elements of copper film provided high-precision small holes by photo eatching process.

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Necrotizing Sialometaplasia: A Diagnostic Puzzle for Clinicians

  • Jeong, Bo-Young;Park, Hee-Kyung
    • Journal of Oral Medicine and Pain
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    • v.47 no.2
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    • pp.102-106
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    • 2022
  • Necrotizing sialometaplasia is a rare, benign, self-limiting inflammatory process, with most cases occurring in the palatal region. Although the pathophysiology of this condition remains unknown, it has generally been considered an ischemic reaction involving the minor salivary glands. Due to its clinical and histologic similarities to malignant salivary gland tumor, diagnostic biopsy is required. Careful monitoring is also recommended, and clinicians should provide sufficient information for pathologists to ensure the histologic diagnosis.

TIME PERIODIC SOLUTION FOR THE COMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS WITH EXTERNAL FORCES IN ℝ3

  • Qingfang Shi;Xinli Zhang
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.587-618
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    • 2023
  • In this paper, we consider the existence of time periodic solutions for the compressible magneto-micropolar fluids in the whole space ℝ3. In particular, we first solve the problem in a sequence of bounded domains by the topological degree theory. Then we obtain the existence of time periodic solutions in ℝ3 by a limiting process.

A computer simulation of ion exchange membrane electrodialysis for concentration of seawater

  • Tanaka, Yoshinobu
    • Membrane and Water Treatment
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    • v.1 no.1
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    • pp.13-37
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    • 2010
  • The performance of an electrodialyzer for concentrating seawater is predicted by means of a computer simulation, which includes the following five steps; Step 1 mass transport; Step 2 current density distribution; Step 3 cell voltage; Step 4 NaCl concentration in a concentrated solution and energy consumption; Step 5 limiting current density. The program is developed on the basis of the following assumption; (1) Solution leakage and electric current leakage in an electrodialyzer are negligible. (2) Direct current electric resistance of a membrane includes the electric resistance of a boundary layer formed on the desalting surface of the membrane due to concentration polarization. (3) Frequency distribution of solution velocity ratio in desalting cells is equated by the normal distribution. (4) Current density i at x distant from the inlets of desalting cells is approximated by the quadratic equation. (5) Voltage difference between the electrodes at the entrance of desalting cells is equal to the value at the exits. (6) Limiting current density of an electrodialyzer is defined as average current density applied to an electrodialyzer when current density reaches the limit of an ion exchange membrane at the outlet of a desalting cell in which linear velocity and electrolyte concentration are the least. (7) Concentrated solutions are extracted from concentrating cells to the outside of the process. The validity of the computer simulation model is demonstrated by comparing the computed results with the performance of electrodialyzers operating in salt-manufacturing plants. The model makes it possible to discuss optimum specifications and operating conditions of a practical-scale electrodialyzer.