• Title/Summary/Keyword: Mathematical problem

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Study for the Plant Layout Optimization for the Ethylene Oxide Process based on Mathematical and Explosion Modeling (수학적 모델과 폭발사고 모델링을 통한 산화에틸렌 공정의 설비 배치 최적화에 관한 연구)

  • Cha, Sanghoon;Lee, Chang Jun
    • Journal of the Korean Society of Safety
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    • v.35 no.1
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    • pp.25-33
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    • 2020
  • In most plant layout optimization researches, MILP(Mixed Integer Linear Programming) problems, in which the objective function includes the costs of pipelines connecting process equipment and cost associated with safety issues, have been employed. Based on these MILP problems, various optimization solvers have been applied to investigate the optimal solutions. To consider safety issues on the objective function of MILP problems together, the accurate information about the impact and the frequency of potential accidents in a plant should be required to evaluate the safety issues. However, it is really impossible to obtain accurate information about potential accidents and this limitation may reduce the reliability of a plant layout problem. Moreover, in real industries such as plant engineering companies, the plant layout is previously fixed and the considerations of various safety instruments and systems have been performed to guarantee the plant safety. To reflect these situations, the two step optimization problems have been designed in this study. The first MILP model aims to minimize the costs of pipelines and the land size as complying sufficient spaces for the maintenance and safety. After the plant layout is determined by the first MILP model, the optimal locations of blast walls have been investigated to maximize the mitigation impacts of blast walls. The particle swarm optimization technique, which is one of the representative sampling approaches, is employed throughout the consideration of the characteristics of MILP models in this study. The ethylene oxide plant is tested to verify the efficacy of the proposed model.

A Study on the Heuristic-Based Yard Crane Scheduling Method Using Truck Arrival Information (트럭 도착 정보를 활용한 휴리스틱 기반 야드 크레인 스케줄링 방법)

  • Hwang, Sung-Bum;Jeong, Suk-Jae;Yoon, Sung-Wook
    • Journal of the Korea Society for Simulation
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    • v.28 no.4
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    • pp.45-56
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    • 2019
  • Literatures have considered mathematical model that change the job order of shipper for improving the operation time of yard crane. However, on the real site, it is impossible to change the job order decided according to the shipper's arrival order. Therefore, operation managers have been utilized the relatively simple strategy that job control is better but the process time of yard crane is longer due to the growth of yard crane's interference time and empty drive time. This study proposed a new yard-crane scheduling approach that decided the job order before the shipper's truck arrived the yard terminal. We utilize the Container Pre-Information Notice estimating the arrival time of truck. We developed the container terminal simulation model for validation of the effect of proposed scheduling approach. The results show that the proposed scheduling reduced the interference delay time and empty moving time of yard crane and shipper's truck delay time.

Automatic Machine Fault Diagnosis System using Discrete Wavelet Transform and Machine Learning

  • Lee, Kyeong-Min;Vununu, Caleb;Moon, Kwang-Seok;Lee, Suk-Hwan;Kwon, Ki-Ryong
    • Journal of Korea Multimedia Society
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    • v.20 no.8
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    • pp.1299-1311
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    • 2017
  • Sounds based machine fault diagnosis recovers all the studies that aim to detect automatically faults or damages on machines using the sounds emitted by these machines. Conventional methods that use mathematical models have been found inaccurate because of the complexity of the industry machinery systems and the obvious existence of nonlinear factors such as noises. Therefore, any fault diagnosis issue can be treated as a pattern recognition problem. We present here an automatic fault diagnosis system of hand drills using discrete wavelet transform (DWT) and pattern recognition techniques such as principal component analysis (PCA) and artificial neural networks (ANN). The diagnosis system consists of three steps. Because of the presence of many noisy patterns in our signals, we first conduct a filtering analysis based on DWT. Second, the wavelet coefficients of the filtered signals are extracted as our features for the pattern recognition part. Third, PCA is performed over the wavelet coefficients in order to reduce the dimensionality of the feature vectors. Finally, the very first principal components are used as the inputs of an ANN based classifier to detect the wear on the drills. The results show that the proposed DWT-PCA-ANN method can be used for the sounds based automated diagnosis system.

A study on advanced PV operation algorithm to improve the PV Power-Hardware-In-Loop Simulator (PV PHIL-시뮬레이터의 성능 개선을 위한 최적의 운영제어 알고리즘 연구)

  • Kim, Dae-Jin;Kim, Byungki;Ko, Hee-Sang;Jang, Moon-Seok;Ryu, Kyung-Sang
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.9
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    • pp.444-453
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    • 2017
  • This paper proposes an operational algorithm for a Photovoltaic Power-Hardware-In-Loop Simulator that is designed to improve the control algorithm and reliability of the PV Inverter. There was an instability problem in the PV PHILS with the conventional algorithm when it was connected tothe PV inverter. Initially, a real-time based computing unit with mathematical modeling of the PV array is implemented and a DC amplifier and an isolated device for DC power measurement are integrated. Several experiments were performed based on theabove concept undercertain conditions, which showed that the proposed algorithm is more effective for the PV characteristic test and grid evaluation test than the conventional method.

An Efficient Flash Memory B-Tree Supporting Very Cheap Node Updates (플래시 메모리 B-트리를 위한 저비용 노드 갱신 기법)

  • Lim, Seong-Chae
    • The Journal of the Korea Contents Association
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    • v.16 no.8
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    • pp.706-716
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    • 2016
  • Because of efficient space utilization and fast key search times, B-trees have been widely accepted for the use of indexes in HDD-based DBMSs. However, when the B-ree is stored in flash memory, its costly operations of node updates may impair the performance of a DBMS. This is because the random updates in B-tree's leaf nodes could tremendously enlarge I/O costs for the garbage collecting actions of flash storage. To solve the problem, we make all the parents of leaf nodes the virtual nodes, which are not stored physically. Rather than, those nodes are dynamically generated and buffered by referring to their child nodes, at their access times during key searching. By performing node updates and tree reconstruction within a single flash block, our proposed B-tree can reduce the I/O costs for garbage collection and update operations in flash. Moreover, our scheme provides the better performance of key searches, compared with earlier flash-based B-trees. Through a mathematical performance model, we verify the performance advantages of the proposed flash B-tree.

A Study on the Relation between Mathematics Learning Contents of High School Liberal Arts Course and Major Fields of College of Business Administration (고등학교 인문계 수학과 대학 경상계열 전공학문과의 연계성)

  • Park, Yeongyong;Lee, Heonsoo
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.423-443
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    • 2017
  • In this paper, In this paper, we study the recognition of undergraduate students and professors about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We chose 155 undergraduate students and 6 professors at college of business administration in M university and investigate their recognition about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We found following facts. First, mathematics education in high school should be based on understanding of mathematical conceptions and principles rather than problem-solving skills to intensifying the relation between mathematics of high school liberal arts course and major fields of college of business administration. Second, we have impressed upon them, whom are going to college of business administration, the need for more mathematics to study a major field.

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An Analysis on the Past Items of Probability and statistics in Secondary School Mathematics Teacher Certification Examination (수학과 중등임용 확률과 통계학 기출문항 분석)

  • Kim, Changil;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.387-404
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    • 2017
  • In this paper, in the last 4 years(2014~2017 school year), we classified the probability and statistical items based on the evaluation scope of the mathematics subject content knowledge which were presented by the Korea Institute for Curriculum and Evaluation, and the classified items were analyzed. As a result, First, in order to induce normalization of the probability and statistical curriculum, four assessment field should be evenly distributed. Second, integrated thinking and comprehensive analytical thinking assessment is required. Third, item an epilogue should be used to measure mathematical thinking and logical competence. Fourth, the ratio of the number of items in probability and statistics to the number of that was 7.7%~10.0%, and the ratio according to the item weighting was 5.0%~7.5%. Fifth, it maintains the policy of stabilizing a good the level of difficulty of the items. Finally, probability and statistical assessment should focus on measuring problem solving ability from an inductive point of view.

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The Design of Target Tracking System Using FBFE Based on VEGA (VEGA 기반 FBFE을 이용한 표적 추적 시스템 설계)

  • 이범직;주영훈;박진배
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.4
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    • pp.359-365
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    • 2001
  • In this paper, we propose the design methodology of target tracking system using fuzzy basis function expansion(FBFE) based on virus evolutionary genetic algorithm (VEGA). In general, the objective of target tracking is to estimate the future trajectory of the target based on the past position of the target obtained from the sensor. In the conventional and mathematical nonlinear filtering method such as extended Kalman filter(EKF), the performance of the system may be deteriorated in highly nonlinear situation. To resolve these problems of nonlinear filtering technique, by appling artificial intelligent technique to the tracking control of moving targets, we combine the advantages of both traditional and intelligent control technique. In the proposed method, after composing training datum from the parameters of extended Kalman filter, by combining FDFE, which has the strong ability for the approximation, with VEGA, which prevent GA from converging prematurely in the case of lack of genetic diversity of population, and by idenLifying the parameters and rule numbers of fuzzy basis function simultaneously, we can reduce the tracking error of EKF. Finally, the proposed method is applied to three dimensional tracking problem, and the simulation results shows that the tracking performance is improved by the proposed method.

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An Analysis of Difficulties of Teachers and Students in Class on Weight (무게 단원 수업에서 겪는 교사와 학생의 어려움 분석)

  • Park, Joonhyeong;Jhun, Youngseok
    • Journal of The Korean Association For Science Education
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    • v.34 no.3
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    • pp.295-301
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    • 2014
  • The purpose of this study is to investigate the difficulties of teachers and students on the unit about 'measuring weight.' In this research, we have acquired data about teachers through survey, interview, and self-reflection journals, at the same time we have collected information on the students through survey, assessment test, and interview. We have extracted the difficulties from analysis with constant comparison method. In addition, we have analysed the curriculum of science and mathematics to know the leaning sequence. The analysis had been checked up by experts in science education. The result of the study is as follows: The difficulties of teachers are from the lack of teachers' descriptive knowledge, disorder of conceptual hierarchy in the curriculum, poor experimental instruments, and low psychomotor skill of students. The difficulties of students are from common misconceptions, opaque concepts, lack of manipulation skill, insufficiency of mathematical ability, difficulty of application of principles to the real situation, and lack of problem-solving ability. In addition, teachers have recognized that students face more difficulties in experiment class, while students think that they face more difficulties in conceptual understanding class.

Uncertainty of Online TOC Analyzer in Water Quality Monitoring System (수질자동측정시스템에서 온라인 TOC 자동측정장치의 불확도 산출)

  • Lee, Chung-Yul;Lee, Yong-Woon;Lee, Jun-Hung;Lim, Boung-Jin;Kwon, Young-Jin;Khang, Bum-Ju;Hong, Young-Min
    • Korean Journal of Ecology and Environment
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    • v.40 no.2
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    • pp.193-200
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    • 2007
  • The objective of this study was to estimate uncertainty of online TOC analyzer in water quality monitoring system. A procedure for the estimation of measurement uncertainty of total organic compounds (TOC) based on the ISO approach is presented. It is based on a mathematical model that involves 4 input parameters (standardization, sensitivity, solute effect and representativeness). In this study, a major problem in estimating the uncertainty of online TOC analyzer was the solute effect. It was strongly depends on organic materials. So homogeneity of the sample is the most important consideration. Modified concentration and combined standard uncertainty was $4.71{\pm}0.36$ mg $L^{-1}$ by model modified in this study.