• Title/Summary/Keyword: Statistical problem solving

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Using the Maximin Criterion in Process Capability Function Approach to Multiple Response Surface Optimization (다중반응표면최적화를 위한 공정능력함수법에서 최소치최대화 기준의 활용에 관한 연구)

  • Jeong, In-Jun
    • Knowledge Management Research
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    • v.20 no.3
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    • pp.39-47
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    • 2019
  • Response surface methodology (RSM) is a group of statistical modeling and optimization methods to improve the quality of design systematically in the quality engineering field. Its final goal is to identify the optimal setting of input variables optimizing a response. RSM is a kind of knowledge management tool since it studies a manufacturing or service process and extracts an important knowledge about it. In a real problem of RSM, it is a quite frequent situation that considers multiple responses simultaneously. To date, many approaches are proposed for solving (i.e., optimizing) a multi-response problem: process capability function approach, desirability function approach, loss function approach, and so on. The process capability function approach first estimates the mean and standard deviation models of each response. Then, it derives an individual process capability function for each response. The overall process capability function is obtained by aggregating the individual process capability function. The optimal setting is given by maximizing the overall process capability function. The existing process capability function methods usually use the arithmetic mean or geometric mean as an aggregation operator. However, these operators do not guarantee the Pareto optimality of their solution. Moreover, they may bring out an unacceptable result in terms of individual process capability function values. In this paper, we propose a maximin-based process capability function method which uses a maximin criterion as an aggregation operator. The proposed method is illustrated through a well-known multiresponse problem.

A Study on the Lateral Vibretion of a Railway Vehicle Utilizing Statistical Linearization Technique (확률적 선형화를 이용한 철도차량의 횡방향 진동에 관한 연구)

  • 임종순;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.742-750
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    • 1986
  • The lateral vibrating motion of a railway vehicle over a certain critical speed is a well known problem in the field of train dynamics. It is known that the train equations of motion are strongly coupled and highly nonlinear with the motion and causing that it is very difficult to solve the equations simultaneously. In this paper, a 8 degree of feedom model of a railway vehicle was suggested to solve the rail vehicle lateral motion. In stead of solving the nonlinear equation simultaneously, statistical linearization technique was adopted to solve those equations. The analysis results from the statistical linearization method were directly compared with those from direct nonlinear equations and found that the linearization technique can be very effective and economical for railroad vehicle analysis. By the way, it was found that the analysis results can analytically explain the intermittent hunting phenomena which has been frequently observed in experiments.

A Study on "Comparing Two Data Sets" as Effective Tasks for the Education of Pre-Service Elementary Teachers (예비초등교사교육을 위한 효과적인 과제로서 "두 자료집합 비교하기" 과제의 가능성 탐색)

  • Tak, Byungjoo;Ko, Eun-Sung;Jee, Young Myon
    • School Mathematics
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    • v.19 no.4
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    • pp.691-712
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    • 2017
  • It is an important to develop teachers' statistical reasoning or thinking by teacher education. In this study, the "comparing two data sets" tasks is focused as a way to develop pre-service elementary teachers' reasoning about core ideas of statistics such as distribution, variability, center, and spread. 6 teams of each 4 pre-service elementary teachers participated on the tasks and their presentations are analyzed based on Pfannkuch's (2006) teachers' inference model in comparing two data sets. As a result, they paid attention to the distribution and variability in the statistical problem solving by the "comparing two data sets" tasks, and used their contextual knowledge to make a statistical decision. In addition, they used some statistics and graphs as the reference for statistical communication, which is expected to provide implications for improving statistical education. The finding implies that the "comparing two data sets" tasks can be used to develop statistical reasoning of pre-service elementary teachers. Some recommendations are suggested for teacher education by these tasks.

The Effect of Engineering Design Based Ocean Clean Up Lesson on STEAM Attitude and Creative Engineering Problem Solving Propensity (공학설계기반 오션클린업(Ocean Clean-up) 수업이 STEAM태도와 창의공학적 문제해결성향에 미치는 효과)

  • DongYoung Lee;Hyojin Yi;Younkyeong Nam
    • Journal of the Korean earth science society
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    • v.44 no.1
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    • pp.79-89
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    • 2023
  • The purpose of this study was to investigate the effects of engineering design-based ocean cleanup classes on STEAM attitudes and creative engineering problem-solving dispositions. Furthermore, during this process, we tried to determine interesting points that students encountered in engineering design-based classes. For this study, a science class with six lessons based on engineering design was developed and reviewed by a professor who majored in engineering design, along with five engineering design experts with a master's degree or higher. The subject of the class was selected as the design and implementation of scientific and engineering measures to reduce marine pollution based on the method implemented in an actual Ocean Clean-up Project. The engineering design process utilized the engineering design model presented by NGSS (2013), and was configured to experience redesign through the optimization process. To verify effectiveness, the STEAM attitude questionnaire developed by Park et al. (2019) and the creative engineering problemsolving propensity test tool developed by Kang and Nam (2016) were used. A pre and post t-test was used for statistical analysis for the effectiveness test. In addition, the contents of interesting points experienced by the learners were transcribed after receiving descriptive responses, and were analyzed and visualized through degree centrality analysis. Results confirmed that engineering design in science classes had a positive effect on both STEAM attitude and creative engineering problem-solving disposition (p< .05). In addition, as a result of unstructured data analysis, science and engineering knowledge, engineering experience, and cooperation and collaboration appeared as factors in which learners were interested in learning, confirming that engineering experience was the main factor.

A study of the policy change of teacher' education in Korea with an analysis of America statistical literacy education (미국의 통계소양교육 분석을 통한 우리나라 교사교육 방향의 탐색)

  • Kim, Jeongran;Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.163-186
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    • 2017
  • The purpose of this paper is to propose the policy change of teachers education in Korea with an analysis of America statistical literacy education. we found the difference of statistical literacy education between Korea and America with each nation's social and educational environment. We can get the need of new change for statistic teacher's education in Korea. We think of Mathematics teachers should know about the difference between statistics and mathematics at school mathematics. And they should know the new change thinking about teaching method and process assesment methods. Second, Teachers should focused on teaching of problem solving and statistical thinking ability based on data analysis than the teaching of probability and mathematical theory.

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A Study on KSAT for Assessing Statistical Literacy by a Comparative Analysis with SAT (대학수학능력시험에서 통계적 소양 평가의 가능성 모색 - SAT 통계 문항과의 비교를 중심으로)

  • Lee, Jeong-Moo;You, Jin Su;Lee, Jeong Ah;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.527-542
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    • 2016
  • In the mathematics curriculum that was revised in 2009, statistical literacy is explicitly addressed as a goal and specific objectives are included. However, statistical literacy has not been addressed in the studies on KSAT. This study aimed to draw implications on how to improve KSAT in a sense that statistical literacy could be evaluated instead of testing typical facts or skills by comparing KSAT with SAT. We used mathematical problem solving process and category of context of PISA framework (OECD, 2013) to administer the comparison of KSAT and SAT. Result shows that both KSAT and SAT use various context, but items in KSAT is limited in assessing critical understanding. We suggested several ways to develop context-based items for KSAT in which statistical literacy could be assessed.

Routing optimization algorithm for logistics virtual monitoring based on VNF dynamic deployment

  • Qiao, Qiujuan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.5
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    • pp.1708-1734
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    • 2022
  • In the development of logistics system, the breakthrough of important technologies such as technology platform for logistics information management and control is the key content of the study. Based on Javascript and JQuery, the logistics system realizes real-time monitoring, collection of historical status data, statistical analysis and display, intelligent recommendation and other functions. In order to strengthen the cooperation of warehouse storage, enhance the utilization rate of resources, and achieve the purpose of real-time and visual supervision of transportation equipment and cargo tracking, this paper studies the VNF dynamic deployment and SFC routing problem in the network load change scenario based on the logistics system. The BIP model is used to model the VNF dynamic deployment and routing problem. The optimization objective is to minimize the total cost overhead generated by each SFCR. Furthermore, the application of the SFC mapping algorithm in the routing topology solving problem is proposed. Based on the concept of relative cost and the idea of topology transformation, the SFC-map algorithm can efficiently complete the dynamic deployment of VNF and the routing calculation of SFC by using multi-layer graph. In the simulation platform based on the logistics system, the proposed algorithm is compared with VNF-DRA algorithm and Provision Traffic algorithm in the network receiving rate, throughput, path end-to-end delay, deployment number, running time and utilization rate. According to the test results, it is verified that the test results of the optimization algorithm in this paper are obviously improved compared with the comparison method, and it has higher practical application and promotion value.

An Analysis of the Status of Local Currency (Daedeok e-Loom) for the Vitality of Local Commercial Areas and an Empirical Study on the Direction of Development

  • Tae-Chang RYU
    • Journal of Distribution Science
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    • v.21 no.12
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    • pp.127-140
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    • 2023
  • Purpose: In a situation where the local economy and alley economy are stagnant, efforts to revitalize the role of small business owners need a virtuous cycle system through consumers' consumption power, not just cash support. Research design, data, and methodology: The study site focuses on Daedeok-gu, the first to introduce local currency as a policy. In the case of the store survey, 254 stores out of 300 stores registered with local currency were analyzed, and the consumer survey was conducted on 1,394 out of 1,500 local people using local currency. Statistical analysis was performed using the SPSS. Result: As a result of time-series checking whether local economic activities are carried out smoothly due to the nature of the local currency, the average daily sales of Daedeok-gu increased by 388,980won compared to 2019. This proved through empirical research in the region that local currency played a priming role in bringing opportunities and rehabilitation to the local commercial districts and small business owners. Conclusions: In the monetary function of simply buying and selling value through payment, points supported as incentives can be used as local currency while inducing direct participation in solving social problems, and the concurrent effect of causing problem-solving and regional economic vitality began to sprout.

A Comparative Study of Statistical Processes in Korean and U.S. Middle School Mathematics Textbooks (한국과 미국 중학교 수학 교과서의 통계적 문제해결과정 비교연구)

  • Jeon, Hyewon;Kim, Rae Young
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.425-444
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    • 2019
  • Comparing to the U.S. mathematics textbooks, this study examines the opportunity to learn statistical processes represented in mathematics textbooks reflecting 2015 revised curriculum. Analyzing four different kinds of Korean middle school mathematics textbooks and two kinds of corresponding U.S. textbooks for seventh graders, we found that the tasks dealing with all the phases of statistical processes were found only in the U.S. textbooks while not even one task in such a case was not observed in the Korean textbooks. To make matters worse, the proportion of the tasks dealing with only one phase of statistical processes was 93.3% of all the tasks in Korean textbooks. In terms of types of tasks, the types of tasks were very homogeneous in Korean textbooks, usually Types FPR or PR while more various types of tasks were found in the U.S. textbooks such as Types FRI, PRI, FR, or RI. In views of features of each phase in statistical processes, Korean textbooks heavily focused only on some particular statistical behaviors such as 'formulating a problem', 'collecting data', 'transforming data', and 'analyzing a part of data.' The findings of this study provide meaningful implications for improving statistics education and developing mathematics textbooks to enhance students' statistical thinking and problem-solving ability.

Exploring the Direction of Middle School Statistics Education through a Comparison of Statistical Content between China & Korea: Focused on the Revised 2022 Mathematics Curriculum (중국의 중학교 통계 교육과정 분석을 통한 통계교육 방안 탐색: 2022 개정 수학과 교육과정을 중심으로)

  • Suh, Boeuk;Rim, Haemee
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.329-348
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    • 2023
  • This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.