• Title/Summary/Keyword: scale mixture

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An Evolutionary Operation with Mixture Variables for Mixture Production Process (혼합물 생산공정을 위한 성분변수의 진화적 조업법)

  • Kim, Chi-Hwan;Byun, Jai-Hyun
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.4
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    • pp.334-344
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    • 2003
  • A mixture experiment is a special type of response surface experiment in which factors are the ingredients or components of a mixture, and the response is a function of the proportions of each ingredient. Evolutionary operation is useful to improve on-line full-scale manufacturing process by systematically changing the levels of the process variables without jeopardizing the product. This paper presents an evolutionary operation procedure with mixture variables for large-scale mixture production process which can be beneficial to practitioners who should improve on-line mixture quality while maintaining the production amount of the mixture product.

Linear regression under log-concave and Gaussian scale mixture errors: comparative study

  • Kim, Sunyul;Seo, Byungtae
    • Communications for Statistical Applications and Methods
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    • v.25 no.6
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    • pp.633-645
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    • 2018
  • Gaussian error distributions are a common choice in traditional regression models for the maximum likelihood (ML) method. However, this distributional assumption is often suspicious especially when the error distribution is skewed or has heavy tails. In both cases, the ML method under normality could break down or lose efficiency. In this paper, we consider the log-concave and Gaussian scale mixture distributions for error distributions. For the log-concave errors, we propose to use a smoothed maximum likelihood estimator for stable and faster computation. Based on this, we perform comparative simulation studies to see the performance of coefficient estimates under normal, Gaussian scale mixture, and log-concave errors. In addition, we also consider real data analysis using Stack loss plant data and Korean labor and income panel data.

The Null Distribution of the Likelihood Ratio Test for a Mixture of Two Gammas

  • Min, Dae-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.289-298
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    • 1998
  • We investigate the distribution of likelihood ratio test(LRT) of null hypothesis a sample is from single gamma with unknown shape and scale against the alternative hypothesis a sample is from a mixture of two gammas, each with unknown scale and unknown (but equal) scale. To obtain stable maximum likelihood estimates(MLE) of a mixture of two gamma distributions, the EM(Dempster, Laird, and Robin(1977))and Modified Newton(Jensen and Johansen(1991)) algorithms were implemented. Based on EM, we made a simple structure likelihood equation for each parameter and could obtain stable solution by Modified Newton Algorithms. Simulation study was conducted to investigate the distribution of LRT for sample size n = 25, 50, 75, 100, 50, 200, 300, 400, 500 with 2500 replications. To determine the small sample distribution of LRT, I considered the model of a gamma distribution with shape parameter equal to 1 + f(n) and scale parameter equal to 2. The simulation results indicate that the null distribution is essentially invariant to the value of the shape parameter. Modeling of the null distribution indicates that it is well approximated by a gamma distribution with shape parameter equal to the quantity $0.927+1.18/\sqrt{n}$ and scale parameter equal to 2.16.

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Evolutionary Operation of Mixture Components Using Regular Simplex (정규 심플렉스를 이용한 혼합물 성분변수의 진화적 조업법)

  • Kim, Chi-Hwan;Byun, Jai-Hyun
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.92-95
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    • 2004
  • A mixture experiment is a special type of response surface experiment in which the factors are the ingredients or components of a mixture, and the response is a function of the proportions of each ingredient. Evolutionary operation is useful to improve on-line full-scale manufacturing processes by systematically changing the levels of the process variables without jeopardizing the product. This paper presents an evolutionary operation procedure for large-scale mixture production processes based on simplex search procedure, which can be beneficial to practitioners who should improve on-line mixture process quality while meeting the production schedule of the mixture product.

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Quality Characteristics of Noodles Added with Freeze-Dried Fish Scale Collagen Mixture Powder (어린 콜라겐의 동결건조 혼합분말 첨가에 따른 칼국수의 품질 특성)

  • Jung, You Min;Bang, Eun Jung;Kang, Sung Tae
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.44 no.3
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    • pp.449-454
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    • 2015
  • This study investigated the quality of noodles added with different amounts of freeze-dried fish scale collagen mixture powder (FDCMP). Freeze-dried fish scale collagen mixture was prepared by mixing ingredients (fish scale collagen : herb extracts : dextrin : distilled water=1:0.75:0.25:2), which were freeze-dried. Noodles were prepared by adding 0.5, 1.0, 1.5, and 2.0% (w/w) FDCMP based on flour weight. Cooked noodle weight and volume decreased with increasing amount of FDCMP, whereas turbidity of soups significantly increased. The water-binding capacity of FDCMP was higher than that of flour. Uncooked and cooked noodles showed reduced L values as well as increased a and b values increasing amount of FDCMP in the flour composite. Hardness and chewiness of cooked noodles significantly decreased with increased FDCMP content. Adhesiveness, cohesiveness, and gumminess increased with increased FDCMP content. Springiness and resilience were not significantly different between the control and FDCMP group. Finally, sensory evaluation results indicated that texture, mouthfeel, and overall preference of noodles containing 0.5% FDCMP were higher compared to those of the other samples. Based on cooking properties and sensory evaluation, freeze-dried fish scale collagen mixture powder up to 0.5% could be substituted for wheat flour to improve noodle quality.

Preparation of M Type Hexa-Ferrite Using the Mill Scale (Mill Scale을 이용한 M형 Ferrite의 합성)

  • 오영우
    • Journal of the Korean Magnetics Society
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    • v.6 no.4
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    • pp.204-210
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    • 1996
  • M type hexa-ferrites were prepared by means of a solid state reaction using mill scale, $Fe_{2}O_{3}$, and the mixture of mill scale and $Fe_{2}O_{3}$. The mixture of powders were calcined at $1150^{\circ}C$ for 2 hrs. and sintered at $1250^{\circ}C$ for 2 hrs, with varing the mole ratio of $Fe_{2}O_{3}$/$BaCO_{3}$, by 5.2~6.0. And the magnetic properties and morphologies of Baferrites with impurities such as $SiO_{2},\;Al_{2}O_{3},\;MgO,\;CaO\;and\;Na_{2}O$ in the mill scale were investigated. The magnetic properties were worsened by the addition of $Na_{2}O because of non-reacted iron oxide and intermediate compound of $BaFe_{2}O_{4}$ but they were improved apparently by the addition of $Si_{2}$ and $Al_{2}O_{3}$ in the composition of $BaO.5.6Fe_{2}O_{3}$. Moreover, $M_{s}$ decreased but $_{B}H_{C}$ increased through the addition of $Al_{2}O_{3}$ in Ba-ferrite. ${(BH)}_{max}$ of sintered BM($BaCO_{3}$, mill scale mixture) and BFM($BaCO_{3}$, $Fe_{2}O_{3}$, and null scale mixture) were 0.86 and 1.04 MGOe, respectively, and the magnetic properties were changed around $440^{\circ}C$.

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An experimental study on microstructure of doubled jet burner flame (이중분류버너화염의 미세구조에 관한 실험적 연구)

  • Jang, In-Gap;Choe, Gyeong-Min;Choe, Byeong-Ryun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.7
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    • pp.2337-2346
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    • 1996
  • One of the most useful method for increasing combustion loading of premixed flame is to strengthen the turbulent intensity of unburned mixture. It produces an important information to a design of efficient combustion equipment that analysing microstructure of strong turbulence premixed flame. The flame structure and characteristics are depend on the turbulence of unburned mixture. Therefore, to strengthen the turbulent intensity of unburned mixture make flame scale small and accomplish efficient combustion. We measured the velocity of local flame front movements, local eddy radius and local reaction zone thickness quantitatively with increasing turbulent intensity of unburned mixture. We researched the microstructure of flame using ion currents that react sensitively in the reaction zone. Consequently, the velocity of local flame front movements is depend on the velocity of unburned mixture and local eddy scale is to be small with increasing turbulent intensity. But there is no change in local reaction zone thickness with turbulence.

A study on the Chlorine removal characteristics of Plastics in a Lab-scale Pyrolysis reactor (실험실 규모 열분해로에서의 플라스틱 탈염 특성 연구)

  • Park, Ju-Won;Park, Sang-Shin;Yang, Won;Yu, Tae-U
    • 한국연소학회:학술대회논문집
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    • 2007.05a
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    • pp.155-160
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    • 2007
  • This study was conducted to find out the chlorine removal characteristics of waste plastic mixture by pyrolysis process with thermogravimetric analysis(TGA) and a lab-scale pyrolyzer. The material used as plastic wastes were PE (Poly-ethylene), PP (Poly-prophylene), and PVC (Poly Vinyl Chloride). Experimental procedure were composed of three steps; 1st step: TGA of PVC, PP and PE, 2nd step: chlorine removal rate of PVC in a lab-scale pyrolyzer, 3rd step: chlorine removal rate of PVC-PE and PVC-PP mixture in a pyrolyzer. Through the results of TGA, we can estimate the basic pyrolysis characteristics of each plastic, and then we can also derive the design parameters and operating conditions of the lab-scale pyrolyzer. The results can be used as primary data for designing a system to produce RPF (Refuse Plastic Fuel), a waste incinerator and a pyrolysis/gasification process.

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Evaluation of Internally Cured Concrete Pavement Using Environmental Responses and Critical Stress Analysis

  • Kim, Kukjoo;Chun, Sanghyun
    • International Journal of Concrete Structures and Materials
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    • v.9 no.4
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    • pp.463-473
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    • 2015
  • Three full-scale instrumented test slabs were constructed and tested using a heavy vehicle simulator (HVS) to evaluate the structural behavior of internally cured concrete (ICC) for use in pavements under Florida condition. Three mix designs selected from a previous laboratory testing program include the standard mixture with 0.40 water-cement ratio, the ICC with 0.32 water-cement ratio, and the ICC mixture with 0.40 water-cement ratio. Concrete samples were prepared and laboratory tests were performed to measure strength, elastic modulus, coefficient of thermal expansion and shrinkage properties. The environmental responses were measured using strain gages, thermocouples, and linear variable differential transformers instrumented in full-scale concrete slabs. A 3-D finite element model was developed and calibrated using strain data measured from the full-scale tests using the HVS. The results indicate that the ICC slabs were less susceptible to the change of environmental conditions and appear to have better potential performance based on the critical stress analysis.