• Title/Summary/Keyword: mixed number

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A Mixed-Integer Programming Model to Draw the Concordance Level and the Kernel Set for the Implementation of ELECTRE IS (ELECTRE IS의 구현 시 일치판정 기준비율 도출과 핵심대안 선정을 위한 혼합정수계획 모형)

  • Park, Seokyoung;Kim, Jaehee;Kim, Sheung-Kown
    • Journal of Korean Institute of Industrial Engineers
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    • v.31 no.4
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    • pp.265-276
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    • 2005
  • ELECTRE IS requires the decision maker (DM) to specify several parameters such as weights, pseudo-criteria thresholds and the concordance level. Among these parameters, the concordance level has a significant effect on the outranking relation. And the number of alternatives selected may be sensitive to the value of these parameters. Therefore the DM may have to perform many iterations to obtain the desired number of alternatives in the kernel set. In this study, we developed a mixed-integer programming (MIP) model to elicit the concordance level and thereby to choose the desired number of alternatives in the kernel set. The MIP model can be applied in the interactive process so that the pseudo-criteria thresholds are adjusted according to the results of MIP model. Using the MIP model in the interactive process, we can reduce the number of iterations needed to perform ELECTRE IS.

Bayesian Burn-in Procedures for LFPs with the Mixed Binomial Prior Distribution for the Number of Defectives

  • Kwon, Young-Il
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.373-373
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    • 2000
  • Bum-in procedures are developed far limited failure populations in which defective products fail soon after they are put in operation and non-defective ones never fail during the technological life of the products. The situation where products are produced from a production process with variable fraction defective is considered. Bum-in schemes guaranteeing pre-specified outgoing quality of products are derived using the mixed binomial prior distribution for the number of defectives in a batch.

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Making Sense of Drawn Models for Operations of Fractions Involving Mixed Numbers

  • Noh, Jihwa
    • East Asian mathematical journal
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    • v.34 no.2
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    • pp.203-217
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    • 2018
  • This study examined preservice elementary teachers' patterns and tendencies in thinking of drawn models of multiplication with fractions. In particular, it investigated preservice elementary teachers' work in a context where they were asked to select among drawn models for symbolic expressions illustrating multiplication with non-whole number fractions including a mixed number. Preservice teachers' interpretations of fraction multiplication used in interpreting different types of drawn models were analysed-both quantitatively and qualitatively. Findings and implications are discussed and further research is suggested.

The effects of LEDs and duty ratio on the growth and physiological responses of Silene capitata Kom., endangered plant, in a plant factory

  • Park, Jae-Hoon;Lee, Eung-Pill;Han, Young-Sub;Lee, Soo-In;Cho, Kyu-Tae;Hong, Yong-Sik;You, Young-Han
    • Journal of Ecology and Environment
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    • v.42 no.4
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    • pp.174-182
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    • 2018
  • Background: In this study, we observed their growth and physiological responses using a variety of duty ratio under the mixed light using red, blue, and white lights. The red+blue mixed light was treated with 95%, 90%, 85%, 80%, and 75% duty ratios and red+blue+white mixed light with 85% and 70% duty ratios. We examined the width and length of leaves, total number of leaves, and number of shoots to examine their growth responses. The physiological responses were studied by measuring their photosynthetic rate, transpiration rate, stomatal conductance, water use efficiency, chlorophyll content, and fluorescence ($F_o$, $F_m$, and $F_v/F_m$). Results: We found that lower duty ratio caused the length and width of the leaves to grow longer under red+blue mixed light but that it did not cause any difference in the red+blue+white mixed light condition. In addition, there was no difference in the number of leaves and shoots among all treatments. In the red+blue mixed light condition, the photosynthetic rate was no difference, but both transpiration rate and stomatal conductance were the highest at 95% duty ratio than in other ratios. Water use efficiency pattern was similar to that of photosynthetic rate; water use efficiency was no difference. Chlorophyll content was the highest at 95% duty ratios, and it was the least at 90%, 85%, and 75% duty ratio. $F_o$ and $F_m$ values were relatively high at 85% and 80% duty ratio and low at 90% duty ratio while $F_v/F_m$ showed no difference. Conclusions: Under the red+blue+white mixed light, all physiological items showed no difference between 70 and 85% treatments. But, photosynthetic rate, water use efficiency, chlorophyll content, and $F_v/F_m$ were relatively greater in the red+blue+white mixed light than in the red+blue mixed light. Therefore, red+blue+white mixed light treated with 70% duty ratio could lessen the environmental stress and save more power when cultivating Silene capitata in a plant factory.

Numerical Study on Combined Heat Transfer in NIR Dryer for Agricultural and Marine Products (근적외선 농수산물 건조기의 복합열전달특성에 관한 수치적 연구)

  • Choi, H.K.
    • Journal of Biosystems Engineering
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    • v.31 no.5 s.118
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    • pp.395-402
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    • 2006
  • Mixed heat transfer in an indirected NIR (Near Infrared Ray) dry chamber was investigated numerical analysis. It is Important that the miked heat transfer effects on double parameters which the Reynolds number and the position of emit lamp. Reynolds number are based on the outer diameter of the cylinder range from 103 to $30{\times}105$. Four difference heat transfer regimes of behavior are apparent: forced convection and radiation on the outer surface of the cylinder, pure conduction, pure natural convection and radiation between lamp surface and inner surface of the cylinder. The temperature and flow patterns are illustrated by iso-contour lines for the double parameters. Also presented are results on the convective heat transfer flux and the radiative heat transfer flux as increased with Reynolds number.

Measurement of Viable Cell Number in Mixed Culture Based on Microbial Respiration Rate (미생물 호흡속도에 기초한 혼합배양중의 생균수 측정)

  • Veljkoic, V.B;;C.R.Engler
    • Microbiology and Biotechnology Letters
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    • v.20 no.6
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    • pp.687-692
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    • 1992
  • A simple method to determine viable cell numbers of each species in mixed culture was developed. The oxygen uptake rate (OUR) equals to the product of the specific OUR and the size of the microbial population. In a mixed culture, the OUR is a result of the respiration activities of each sub-population. The OUR was determined from the slope of the linear relationship between time and the decrease of dissolved oxygen concentration when aeration was stopped. The specific OUR was calculated from the slope of the viable cell number versus OUR curve. These values for C. lusitaniae at 20 and $30^{\circ}C$ were $1.36{\times}10^{-9}$ and $3.90{\times}10^{-9}$ and those for P tannoPhilus at 20 and $30^{\circ}C$ were $0.59{\times}10^{-9}$ and $1.86{\times}10^{-9}$ [(%/s)/(cells/ml)J. respectively. Using these values, viable cell numbers were calculated after the OURs of mixed culture at two temperatures were measured. A good agreement between the viable cell numbers determined by this method and by plate count was obtained.

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An Analysis on the Error Types of Elementary Students and Pre-service Teachers in Mixed Calculations of Natural Number (자연수의 혼합계산에 대한 초등학생들과 예비교사들의 오류 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.141-161
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    • 2017
  • As it's important to understand the order of operation in the mixed calculation of natural number and perform it, mathematics curriculums and textbooks focused that students can calculate with understanding the order of operation and its principles. For attaining the implications of teaching about the mixed calculations, this study analyzed the problem solving abilities and error types of 67 elementary students and 57 pre-service teachers using questionnaire which was developed in this study and composed of numeric expressions and word problems. The conclusions drawn from this study were as follows: Students were revealed the correct rates(86.2% and 73.5%) in numeric expressions and word problems, but they were showed the paradigmatic error types-the errors of the order of operation and the composition of numeric expression from word problems. Even though the correct rates of the preservice teachers were extremely high, the result of problem solving processes required that it's needed to be interested in teaching the principles of the order of operation in the mixed calculations. In addition, subjects were revealed the problems about using parentheses and equal sign.

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Donor Number of Mixed MeOH Solvents Using a Solvatochromic Cu(Ⅱ)-Complex (분광용매화 구리(II) 착물에 의한 메탄올 이성분 혼합용매들의 Donor Number)

  • Seoung-Kyo Yoo;Jin Sung Kim;Yeol Sakong
    • Journal of the Korean Chemical Society
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    • v.36 no.6
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    • pp.796-801
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    • 1992
  • An empirical Lewis basicity, DN, for eight mixed methanol solvents has been measured by the solvatochromic behavior of the [Cu(tmen)(acac)]$CIO_4$. The change of DN in mixed methanol solvents is not correlated with composition of the mixtures and divided into three groups: (1) dipolar aprotic solvents contribute mainly to the solvation of solute (MeOH-DMSO, MeOH-PY, MeOH-DMF), (2) two components of mixture contribute equally to the solvation of solute (MeOH-MeCN, MeOH-dioxane, MeOH-AC) and (3) methanol contributes entirely to the solvation of solute (MeOH-DCE, MeOH-TCE). The relationship between DN and Kamlet-Taft's $B_{KT}$ for mixed methanol solvents was found to agree well. These DN values also were a useful factor to analysis of reactivity for mixed methanol solvents.

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Effect of Difference in Mixing Methods of Zirconia on Mechanical Properties of ZTA (ZrO2의 혼합방법 차이가 ZTA의 기계적 물성에 미치는 영향)

  • Sohn, Jeongho
    • Korean Journal of Materials Research
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    • v.23 no.11
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    • pp.625-630
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    • 2013
  • In this study, intermediate-mixed powders were prepared by loading zirconia powders initially in a ball-mill jar and loading alumina powders afterward; the initial-mixed powders were produced by loading zirconia and alumina powders together in the ball-mill jar. The effect of such differences in mixing method on the mechanical properties was investigated. In intermediate-mixed powders, the volume fraction of large particles slightly increased and, simultaneously, zirconia particles formed agglomerates that, due to early ball-mill loading of the zirconia powders only, were more dispersed than were the initial-mixed powders. For the intermediate-mixed powders, zirconia agglomerates were destroyed more quickly than were initial-mixed powders, so the number of dispersed zirconia particles rose and the inhibitory effect of densification due to the addition of a second phase was more obvious. In the microstructure of intermediate-mixed powders, zirconia grains were homogeneously dispersed and grain growth by coalescence was found to occur with increasing sintering temperature. For the initial-mixed powders, large zirconia grains formed by localized early-densification on the inside contacts of some zirconia agglomerates were observed in the early stages of sintering. The intermediate-mixed powders had slightly lower hardness values as a whole but higher fracture toughness compared to that of the initial-mixed powders.

A Numerical Study on the Mixed Convection in Open-Ended Inclined Channels (양 끝이 개방된 경사진 채널 내에서의 혼합대류에 관한 수치적 연구)

  • Piao Ri-Long;Bae Dae-Seok
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.1
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    • pp.78-85
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    • 2005
  • A numerical calculation is performed to study the effects of buoyancy force on the heat transfer characteristics of laminar forced convection flow in inclined parallel plates with the upper part cooled and the lower Part heated uniformly. Numerical results are presented for the Reynolds number ranges from $4.0\times10^{-3}$ to $1.13\times10^{-1}$. the angle of inclination, $\theta$. from 0 to 90 degree and Pr of the high viscosity fluid is 909. It is found that the flow pattern of mixed convection in inclined parallel Plates can be classified into four patterns which affected by Reynolds number and the angle of inclination.