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Analysis of an M/G/1/K Queueing System with Queue-Length Dependent Service and Arrival Rates (시스템 내 고객 수에 따라 서비스율과 도착율을 조절하는 M/G/1/K 대기행렬의 분석)

  • Choi, Doo-Il;Lim, Dae-Eun
    • Journal of the Korea Society for Simulation
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    • v.24 no.3
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    • pp.27-35
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    • 2015
  • We analyze an M/G/1/K queueing system with queue-length dependent service and arrival rates. There are a single server and a buffer with finite capacity K including a customer in service. The customers are served by a first-come-first-service basis. We put two thresholds $L_1$ and $L_2$($${\geq_-}L_1$$ ) on the buffer. If the queue length at the service initiation epoch is less than the threshold $L_1$, the service time of customers follows $S_1$ with a mean of ${\mu}_1$ and the arrival of customers follows a Poisson process with a rate of ${\lambda}_1$. When the queue length at the service initiation epoch is equal to or greater than $L_1$ and less than $L_2$, the service time is changed to $S_2$ with a mean of $${\mu}_2{\geq_-}{\mu}_1$$. The arrival rate is still ${\lambda}_1$. Finally, if the queue length at the service initiation epoch is greater than $L_2$, the arrival rate of customers are also changed to a value of $${\lambda}_2({\leq_-}{\lambda}_1)$$ and the mean of the service times is ${\mu}_2$. By using the embedded Markov chain method, we derive queue length distribution at departure epochs. We also obtain the queue length distribution at an arbitrary time by the supplementary variable method. Finally, performance measures such as loss probability and mean waiting time are presented.

Iron Uptake by the Recombinant Yeasts Producing Ferritin Heteropolymers (재조합 효모에 의한 Ferritin 이형집합체의 발현과 철 흡수)

  • Chang Yu Jung;Park Chung Ung;Kim Kyung Suk
    • KSBB Journal
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    • v.19 no.5
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    • pp.352-357
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    • 2004
  • Human ferritin H- and L-chain genes (hfH and hfL) were cloned into the yeast shuttle vector YEp352 containing the GAL1 (galactokinase) and GAL10 (epimerase) divergent promoters and the vectors constructed were used to transform Saccharomyces cerevisiae 2805. SDS-PAGE displayed expression of the introduced hfH and hfL in both recombinant strains of Y1H10L and Y1L10H. The ferritin subunits, that represented ca. $22\%$ and $15\%$ of the soluble proteins in Y1H10L and Y1L10H, were spontaneously assembled into active ferritin heteropolymers. The H subunit content of the purified recombinant human ferritin heteropolymers was proven to reflect the relative expression yield of the subunits. When the cells of 2d culture were incubated with 14.3 mM Fe(2), the cellular iron concentration of Y1H10L and Y1L10H was 1.7 and 2.0 times, respectively, that of the control strain. It is assumed that increase in the iron uptake of the recombinant yeasts is closely related to ferritin expression and H subunit content.

A Study on Quantity and Quality of Collected Rainwater by Collected Materials (우수 이용을 위한 포집재료별 포집수량과 수질에 관한 연구)

  • Lee, Young-Bok;Lee, Seung-Keun;Wang, Chang-Keun
    • Journal of Korean Society of Water and Wastewater
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    • v.18 no.1
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    • pp.66-72
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    • 2004
  • In this study, quantity and quality of collected rainwater by sand, gravel, soil, lawn and concrete surface, as collection materials were investigated and Rainwater Collection Prediction Model was developed to predict the amount of collected rainwater. The quantity of collected rainwater in concrete surface, gravel, sand, soil and lawn collection system was 1,067L(93.2%), 1,006L(87.8%), 902L(78.8%), 800L(69.9%), 788.5L(68.8%) for 8 months period, respectively. The average turbidity of collected rainwater in concrete surface, gravel, sand, soil and lawn collection system was 3.2NTU, 2.2NTU, 1.9NTU, 1.7NTU, 1.5NTU for 8 months period, respectively. For sand collection material, predicted amount by the Model and actual collected amount were 931.5L and 902L, which were very closed. For gravel collection material, predicted amount by Model and actual collected amount were 1,028.21. and 1,006L, which were very closed. To simulate the optimal rainwater storage volume, the rainfall and evaporation data in Dae-jeon city were used. For sand collection system with 30m2 area, the maximum storage volume was $17m^3$ and 62% of the year was secured for use of 240L/day.

Solving L(2,1)-labeling Problem of Graphs using Genetic Algorithms (유전자 알고리즘을 이용한 그래프에서 L(2,1)-labeling 문제 연구)

  • Han, Keun-Hee;Kim, Chan-Soo
    • The KIPS Transactions:PartB
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    • v.15B no.2
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    • pp.131-136
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    • 2008
  • L(2,1)-labeling of a graph G is a function f: V(G) $\rightarrow$ {0, 1, 2, ...} such that $|f(u)\;-\;f(\upsilon)|\;{\geq}\;2$ when d(u, v) = 1 and $|f(u)\;-\;f(\upsilon)|\;{\geq}\;1$ when d(u, $\upsilon$) = 2. L(2,1)-labeling number of G, denoted by ${\lambda}(G)$, is the smallest number m such that G has an L(2,1)-labeling with no label greater than m. Since this problem has been proved to be NP-complete, in this article, we develop genetic algorithms for L(2,1)-labeling problem and show that the suggested genetic algorithm peforms very efficiently by applying the algorithms to the class of graphs with known optimum values.

Inhibition of Lipase Activity and Preadipocyte Differentiation in 3T3-L1 Cells Treated with Sargassum horneri Extract (괭생이모자반 추출물의 리파아제 저해 활성 및 3T3-L1 지방전구세포 분화억제 효과)

  • Hong, Ji Woo;Park, Ha Young;Park, Jae Hyun;Kim, So Hee;Kim, Han A;Kim, Jin-Woo
    • Ocean and Polar Research
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    • v.44 no.1
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    • pp.61-67
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    • 2022
  • In this study, in order to evaluate the anti-obesity effect of sargassum horneri extract, the effects of the extract on lipase activity and preadipocyte differentiation in 3T3-L1 cells were investigated. S. horneri extract between 0.0 and 1.0 mg/mL showed no cytotoxicity and inhibited lipase activity by 68.1%. When S. horneri extract was utilized at levels of 0.25, 0.5, and 1.0 mg/mL in 3T3-L1 cells, preadipocytes differentiation decreased by 11.4, 19.7, and 25.6%, respectively, showing anti-obesity effects. In addition, after treatment with 1.0 mg/mL S. horneri extract, the mRNA expression levels of sterol regulatory element binding proteins-1c (SREBP-1c), peroxisome proliferator activated receptor-γ (PPAR-γ), CCAAT enhancer binding protein-α (CEBP-α), fatty acid synthase (FAS), and stearoyl-CoA desaturase1 (SCD1) in 3T3-L1 cells were significantly decreased (p < 0.05) by 65.2, 54.9, 50.0, 33.8, and 33.8% respectively. These results showed that S. horneri extract suppresses lipase activity and prophylactic preadipocyte differentiation in 3T3-L1, and thus can be used as an anti-obesity agent in functional foods and medicines.

A Note on Complete Convergence in $C_{0}(R)\;and\;L^{1}(R)$ with Application to Kernel Density Function Estimators ($C_0(R)$$L^1(R)$의 완전수렴(完全收斂)과 커널밀도함수(密度函數) 추정량(推定量)의 응용(應用)에 대(對)한 연구(硏究))

  • Lee, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.3 no.1
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    • pp.25-31
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    • 1992
  • Some results relating to $C_{0}(R)\;and\;L^{1}(R)$ spaces with application to kernel density estimators will be introduced. First, random elements in $C_{0}(R)\;and\;L^{1}(R)$ are discussed. Then, complete convergence limit theorems are given to show that these results can be used in establishing uniformly consistency and $L^{1}$ consistency.

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COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF L(1, χu) IN EVEN CHARACTERISTIC

  • Sunghan Bae;Hwanyup Jung
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.65-81
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    • 2024
  • In this paper, we announce that the strategy of comparing the complex moments of L(1, χu) to that of a random Euler product L(1, 𝕏) is also valid in even characteristic case. We give an asymptotic formulas for the complex moments of L(1, χu) in a large uniform range. We also give Ω-results for the extreme values of L(1, χu).

Distributions of Nicotine and Toluene in Teenagers' Urine (청소년의 뇨 중에서 nicotine과 톨루엔의 분포에 관한 연구)

  • Park, Sungwoo;Seo, Baeseck;You, Jaehoon;Kim, Namyee;Shin, Hosang;Han, Wansoo;Kim, Ilkwang
    • Analytical Science and Technology
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    • v.10 no.1
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    • pp.1-8
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    • 1997
  • We identified nicotine, cotinine and toluene in high school volunteer's urine by using GC/NPD, GC/FID and GC/MS. To analyze of nicotine and cotinine, urine samples were extracted with diethylether and centrifuged on a benchtop centrifuge for 5 min. The upper organic layer was injected into a GC. The distributions of nicotine and cotinine were $4{\sim}630{\mu}g/L$ and $63{\sim}1,602{\mu}g/L$ in smoking-group, respectively. To analyze of toluene, head space vial was filled with 2mL sodium citrate solution and 1mL of urine. The vial was warmed in a water bath at $55^{\circ}C$ for 20min, and then $250{\mu}L$ of head space air was injected into a GC. The result show that toluene was not detected in all of the volunteers' samples. However, the range of toluene was 0.1~28.0mg/L in glue sniffer's urine samples(NISI data).

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Runoff Characteristics of Non-point Source Pollutants in apple cultivation (사과재배지의 비점오염물질 유출특성)

  • Park, Woon Ji;Jeon, Je Hong;Lee, Hae Seung;Lee, Young Joon;Choi, Joong Dae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.402-402
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    • 2015
  • 본 연구에서는 사과재배지에서 발생하는 비점오염물질 유출 및 수질특성을 살펴보고자 2014년 5월부터 9월까지의 총 15회의 강우사상에 대해 유출특성을 분석하고 오염물질별 유량가중평균농도(Event Mean Concentration, EMC) 및 오염부하를 산정하였다. 모니터링 기간동안 3.2~80.3 mm의 강우가 발생하였으며, 조사된 총 15회의 event 중 3회 유출이 발생하였다. 강우강도는 0.39~4.46 mm/hr의 범위로 나타났으며, 선행무강우일수는 0.3~20.1일, 총 유출량은 $2.7{\sim}100.8m^3$, 유출율은 0.02~0.3의 범위로 나타났다. 강우모니터링 결과, EMC는 TOC 7.1~18.7 mg/L(평균 12.0 mg/L), BOD 4.3~7.8 mg/L(평균 5.9 mg/L), COD 16.9~30.2 mg/L(평균 22.3 mg/L), SS 35.6~738.1 mg/L(평균 293.1 mg/L), T-N 2.342~11.043 mg/L(평균 6.563 mg/L) 그리고 T-P 1.563~2.563 mg/L(평균 1.961 mg/L)의 범위로 나타났으며, 각 강우사상에 대한 단위면적당 오염부하는 TOC 0.12~2.4 kg/ha, $BOD_5$ 0.03~1.0kg/ha, $COD_{Mn}$ 0.12~7.1 kg/ha, SS 0.34~173 kg/ha, T-N 0.068~1.478 kg/ha, T-P 0.011~0.601 kg/ha의 범위로 산정되었다. 사과재배지의 경우 대부분 투수지역으로 강우 초기에 지하로 침투하는 양이 많기 때문에 초기세척효과는 크게 발생하지 않는 것으로 나타났으며, 대체적으로 30 mm 이하의 강우에서는 유출이 발생하지 않는 것으로 분석되었다. 하지만, 사과재배지에서 발생하는 비점오염물질의 유출특성은 기상조건 및 영농활동 조건등에 따라 상이하게 나타나기 때문에 강우시 비점오염원 유출특성을 보다 정량적으로 파악하기 위해서는 체계적이고 지속적인 연구가 필요할 것으로 판단된다.

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Layer-specific cholinergic modulation of synaptic transmission in layer 2/3 pyramidal neurons of rat visual cortex

  • Cho, Kwang-Hyun;Lee, Seul-Yi;Joo, Kayoung;Rhie, Duck-Joo
    • The Korean Journal of Physiology and Pharmacology
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    • v.23 no.5
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    • pp.317-328
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    • 2019
  • It is known that top-down associative inputs terminate on distal apical dendrites in layer 1 while bottom-up sensory inputs terminate on perisomatic dendrites of layer 2/3 pyramidal neurons (L2/3 PyNs) in primary sensory cortex. Since studies on synaptic transmission in layer 1 are sparse, we investigated the basic properties and cholinergic modulation of synaptic transmission in layer 1 and compared them to those in perisomatic dendrites of L2/3 PyNs of rat primary visual cortex. Using extracellular stimulations of layer 1 and layer 4, we evoked excitatory postsynaptic current/potential in synapses in distal apical dendrites (L1-EPSC/L1-EPSP) and those in perisomatic dendrites (L4-EPSC/L4-EPSP), respectively. Kinetics of L1-EPSC was slower than that of L4-EPSC. L1-EPSC showed presynaptic depression while L4-EPSC was facilitating. In contrast, inhibitory postsynaptic currents showed similar paired-pulse ratio between layer 1 and layer 4 stimulations with depression only at 100 Hz. Cholinergic stimulation induced presynaptic depression by activating muscarinic receptors in excitatory and inhibitory synapses to similar extents in both inputs. However, nicotinic stimulation enhanced excitatory synaptic transmission by ~20% in L4-EPSC. Rectification index of AMPA receptors and AMPA/NMDA ratio were similar between synapses in distal apical and perisomatic dendrites. These results provide basic properties and cholinergic modulation of synaptic transmission between distal apical and perisomatic dendrites in L2/3 PyNs of the visual cortex, which might be important for controlling information processing balance depending on attentional state.