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Stochastic Comparisons of Markovian Retrial Queues

  • Shin, Yang-Woo;Kim, Yeong-Cheol
    • Journal of the Korean Statistical Society
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    • v.29 no.4
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    • pp.473-488
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    • 2000
  • We consider a Markovian retrial queue with waiting space in which the service rates and retrial rates depend on the number of customers in the service facility and in the orbit, respectively. Each arriving customer from outside or orbit decide either to enter the facility or to join the orbit in Bernoulli manner whose entering probability depend on the number of customers in the service facility. In this paper, a stochastic order relation between two bivariate processes(C(t), N(t)) representing the number of customers C(t) in the service facility and one N(t) in the orbit is deduced in terms of corresponding parameters by constructing the equivalent processes on a common probability space. some applications of the results to the stochastic bounds of the multi-server retrial model are presented.

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An Analysis of the Change of the Plan Composition in High School through the Checking of Present Use of Migratory Class by Level (수준별 이동식 수업에 따른 고등학교의 평면구성 변화에 대한 분석)

  • Rieu, Ho-Seoup;Ha, Seung-Min
    • Journal of the Korean Institute of Educational Facilities
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    • v.16 no.3
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    • pp.41-48
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    • 2009
  • The purpose of this research is to find out the problem of plan composition by use the school building. The research was performed through the checking of 13 high schools which were built after 1997 in Busan. Followings are the result of the research. Presently, all the schools are divided classes into different levels and teach students, however, it is only limited to English and Mathematics and being carried on mostly for 1st graders. Moreover, although the plan is composed Department System plan which intended to ues new various learning method, schools have changed their plan into Usual with Variation type which is old educational program and renovated a few classes for certain subjects. Due to above reasons, the new kinds of space for Department System plan is used only as a study room by reform or even not used at all. Therefore, improvement of those problems are significant in schools.

A New Method for Antimicrobial Susceptibility Testing of Vitro-cultured Bacteria by Means of Resonance Light Scattering Technique

  • Shi, Yu-Jun;Chen, Jun;Xu, Ming
    • Journal of Microbiology and Biotechnology
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    • v.18 no.1
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    • pp.118-123
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    • 2008
  • A new method for antimicrobial susceptibility testing of vitro-cultured bacteria on an ordinary fluorescence spectrometer was developed. The viable bacteria reduced 3-(4,5 dimethylthiazol-2-yl)-2,5-diphenyl tetrazolium bromide (MTT) to produce insoluble particles that displayed intense resonance scattering light. The assay showed a linear relationship between the number of viable bacteria and the intensity of resonance scattering light. Dead bacteria were unable to reduce MTT. Methicillin-resistant Staphylococcus aureus exposed to flavonoids from Marchantia convoluta showed a flavonoids concentration-dependent inhibition of the ability to reduce MTT. In the assay, less than 12 h was required to attain susceptibility results and fewer bacteria were utilized than in traditional methods. The RLS technique could, in combination with the MTT assay, be a rapid and sensitive measuring method to determine the in vitro activity of new antimicrobials.

The Perforation Behavior of the Anodized AI Light Armor under High Velocity Impact

  • Sohn, Se-Won;Lee, Doo-Sung;Kim, Hee-Jae;Hong, Sung-Hee
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.4
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    • pp.45-50
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    • 2003
  • In order to investigate the effect of surface treatment (Anodizing) and rolling on AI 5083-H131 alloy, under hyper velocity impact, a ballistic testing was conducted. Ballistic resistance of these materials was measured by a protection ballistic limit ($V_{50}$)' a statistical velocity with 50% probability of penetration. Perforation behavior and ballistic tolerance, described by penetration modes, were respectfully observed, by $V_{50}$ test and Projectile Through Plates (PTP) test at velocities greater than $V_{50}$. PTP tests were conducted with 0$^{\circ}$ obliquity at room temperature using 5.56mm ball projectiles. $V_{50}$ tests with 0$^{\circ}$ obliquity were also done with projectiles that were able to achieve near or complete penetration during PTP tests. Resistance to penetration, and penetration modes of Al 5052-H34 alloy were compared to those of Al 5083-H 131 alloy.

Raman Frequencies Calculated at Various Pressures in Phase I of Benzene

  • Tari, Ozlem;Yurtseven, Hamit
    • Journal of the Korean Chemical Society
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    • v.57 no.2
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    • pp.204-209
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    • 2013
  • We calculate in this study the pressure dependence of the frequencies for the Raman modes of A ($A_g$), B ($A_g$, $B_{2g}$) and C ($B_{1g}$, $B_{3g}$) at constant temperatures of 274 and 294K (room temperature) for the solid phase I of benzene. Using the mode Gr$\ddot{u}$neisen parameter of each lattice mode, which correlates the pressure dependence of the crystal volume and the frequency, the Raman frequencies of those modes are computed for phase I of benzene. Our results show that the Raman frequencies of the three lattice modes (A, B and C) increase as the pressure increases, as expected. The temperature effect on the Raman frequencies is not significant, which can be explained by the experimental measurements.

A Case Study on The Changes in Space Composition According to Departmental System - Through the 10 Remodeling Cases of High School - (교과교실제 운영에 따른 공간구성 변화에 대한 현황분석 - 리모델링된 10개 고등학교의 사례 -)

  • Lee, Dong-Wook;Rieu, Ho-Seoup
    • Journal of the Korean Institute of Educational Facilities
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    • v.19 no.1
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    • pp.13-24
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    • 2012
  • Recently, many middle and high schools are remodeling the buildings and facilities based on departmental system. This study, through analyzing on 10 remodeling cases of high school, is showing the variation before and after remodeling, space organization types, and the types of school management. This also gives us the information on the number of classrooms and teachers' rooms for each subject, the area and number of home base, and the current state of all these facilities. Furthermore, this study is comparing and analyzing the rate of use of specialized classrooms to the type of management. Through this analysis, we reach the following conclusions. l. However all the cases remodeled their buildings to implement departmental system, the methods of space composition, the numbers of the classrooms, and the status of home base are in various forms. 2. Taken as a whole, there are only few spaces used by departmental system. 3. The spaces for practical subjects such as Science and Art are inadequate than the ones for major subjects such as Languages and Mathematics. 4. A system to assign a room for a teacher records the lowest space usage rate. 5. The area of home base per one student is only $0.48m^2$, and even the area is mostly filled with lockers. The present condition of the 10 high schools which we surveyed shortly after remodeled shows that departmental system is not firmly settled down yet.

Skemp's concept development of underachievers' analytic geometry using the exploratory software, GSP & Excel (탐구형 소프트웨어를 활용한 해석기하에서 학습부진학생들의 개념형성에 관한 연구: 관계적.도구적 이해를 중심으로)

  • Yoon, In Jun;ChoiKoh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.15 no.4
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    • pp.643-671
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    • 2012
  • The purpose of this study was to examine How the exploratory activities using Excel and GSP which are exploratory software, in learning analytic geometry affected on the underachievers' analytic geometry concept development process. The subjects of 5 students who received the 8th~9th grades from their examination of the last semester, participated in a total of 7 units based on Skemp's intelligent learning model. The results of the study showed that there were two important cases found to nearly achieve the category $R_2$. One was reflective thinking could happen through exploratory software in category $R_1$. The other was the exploratory activities which could have the same effectiveness as the relational understanding in category $I_2$, as Skemp mentioned that there is a room to be achieved in the elementary level when such relational understanding is achieved.

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A Study on Connections about Addition Principle (덧셈 계산 원리의 연결성에 관한 연구)

  • Roh, Eun Hwan;Kim, Seon Yu;Kim, Jung Hoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.331-368
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    • 2018
  • This study is derived from a student who can add without knowing the addition principle. To understand where the student's response come from, we came to analyse the curriculum contents of natural numbers, decimals and fractions addition principle. At the same time, we surveyed two different school of forty six sixth grade participants with questionnaires to determine whether it is a problem of the student or an universal one. As a result, we found that there is a room for improvement in the addition and connections of addition. We propose appropriate instructional method regarding connections of addition and addition principle of natural numbers, decimals and fractions. The conclude there is a close relation and differences among the principles of natural numbers, decimals and fractions in the proposed instructional method. Therefore, we need to consider and instruct the differences of the number expansion.

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The Study of Teaching Multiplication (곱셈 지도에 관한 고찰)

  • Kang, Monbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.369-384
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    • 2018
  • Multiplication is able to be described by using repeated addition, a Cartesian product, a scalar operation, rectangular array and area in many various context. Multiplication in various problem situations is learned by various of the teaching method and the order of teaching more than any other mathematical concepts and operations in elementary school. Nevertheless, the context of multiplication leaves further room for improvement. The purpose of this study is to examine the similarities and differences between the conceptual aspects of multiplication through the literature and to analyze the appropriateness of the teaching method and the order of teaching through textbook analysis. As a result of the study, it was found that multiplication of a scalar operation was introduced too early and did not properly reflect of meaning of multiplication as a scalar operation. There is also a need to use the concept of the rectangular array or area as a meaning of multiplication two quantities.

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Simulations of Optical Characteristics according to the Silicon Oxide Pattern Distance Variation using an Atomic Force Microscopy (AFM) (AFM을 이용한 나노 패턴 형성과 크기에 따른 광특성 시뮬레이션)

  • Hwang, Min-Young;Moon, Kyoung-Sook;Koo, Sang-Mo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.23 no.6
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    • pp.440-443
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    • 2010
  • We report a top-down approach based on atomic force microscopy (AFM) local anodic oxidation for the fabrication of the nano-pattern field effect transistors (FETs). AFM anodic oxidation is relatively a simple process in atmosphere at room temperature but it still can result in patterns with a high spatial resolution, and compatibility with conventional silicon CMOS process. In this work, we study nano-pattern FETs for various cross-bar distance value D, from ${\sim}0.5\;{\mu}m$ to $1\;{\mu}m$. We compare the optical characteristics of the patterned FETs and of the reference FETs based on both 2-dimensional simulation and experimental results for the wavelength from 100 nm to 900 nm. The simulated the drain current of the nano-patterned FETs shows significantly higher value incident the reference FETs from ${\sim}1.7\;{\times}\;10^{-6}A$ to ${\sim}2.3\;{\times}\;10^{-6}A$ in the infrared range. The fabricated surface texturing of photo-transistors may be applied for high-efficiency photovoltaic devices.