• Title/Summary/Keyword: Problem Solving Theory

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Job Scheduling Problem Using Fuzzy Numbers and Fuzzy Delphi Method

  • Park, Seung-Hun;Chang, In-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.4
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    • pp.607-617
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    • 1996
  • This paper shows that fuzzy set theory can be useful in modeling and solving job scheduling problems with uncertain processing times. The processing times are considered as fuzzy numbers(fuzzy intervals or time intervals) and the fuzzy Delphi method is used to estimate a reliable time interval of each processing time. Based on these time estimates, we then propose an efficient methodology for calculating the optimal sequence and the fuzzy makespan.

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ON FUZZIFIED REPRESENTATION OF PIAGETIAN REVERSIBLE THINKING

  • Kang, Mee-Kwang;Lee, Byung-Soo
    • Research in Mathematical Education
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    • v.3 no.2
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    • pp.99-112
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    • 1999
  • In this paper, we represent the Piagetian reversible thinking by using the concept of fuzzy complements. In this case the turning point to the reversible thinking can be corre-sponded to the equilibrium points of a fuzzy set, which are shown through some examples. On the other hand, Piaget considered disequilibrium in the theory of equi-libration as a stimulus for students' cognitive structure, furthermore as the driving forces behind intellectual growth. But we suggest a di erent application o Piagetian equi-librium in another point of view as a tool understanding students' psychological stability in problem solving activity.

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Lagrange and Polynomial Equations (라그랑주의 방정식론)

  • Koh, Youngmee;Ree, Sangwook
    • Journal for History of Mathematics
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    • v.27 no.3
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    • pp.165-182
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    • 2014
  • After algebraic expressions for the roots of 3rd and 4th degree polynomial equations were given in the mid 16th century, seeking such a formula for the 5th and greater degree equations had been one main problem for algebraists for almost 200 years. Lagrange made careful and thorough investigation of various solving methods for equations with the purpose of finding a principle which could be applicable to general equations. In the process of doing this, he found a relation between the roots of the original equation and its auxiliary equation using permutations of the roots. Lagrange's ingenious idea of using permutations of roots of the original equation is regarded as the key factor of the Abel's proof of unsolvability by radicals of general 5th degree equations and of Galois' theory as well. This paper intends to examine Lagrange's contribution in the theory of polynomial equations, providing a detailed analysis of various solving methods of Lagrange and others before him.

Prediction and control of buildings with sensor actuators of fuzzy EB algorithm

  • Chen, Tim;Bird, Alex;Muhammad, John Mazhar;Cao, S. Bhaskara;Melvilled, Charles;Cheng, C.Y.J.
    • Earthquakes and Structures
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    • v.17 no.3
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    • pp.307-315
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    • 2019
  • Building prediction and control theory have been drawing the attention of many scientists over the past few years because design and control efficiency consumes the most financial and energy. In the literature, many methods have been proposed to achieve this goal by trying different control theorems, but all of these methods face some problems in correctly solving the problem. The Evolutionary Bat (EB) Algorithm is one of the recently introduced optimization methods and providing researchers to solve different types of optimization problems. This paper applies EB to the optimization of building control design. The optimized parameter is the input to the fuzzy controller, which gives the status response as an output, which in turn changes the state of the associated actuator. The novel control criterion for guarantee of the stability of the system is also derived for the demonstration in the analysis. This systematic and simplified controller design approach is the contribution for solving complex dynamic engineering system subjected to external disturbances. The experimental results show that the method achieves effective results in the design of closed-loop system. Therefore, by establishing the stability of the closed-loop system, the behavior of the closed-loop building system can be precisely predicted and stabilized.

A Study on the Analysis of College Student's Information Problem Solving Process in Team Project Activities (대학생의 과제 중심 정보문제 해결과정 분석에 관한 연구)

  • Bae, Kyung-Jae
    • Journal of the Korean Society for information Management
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    • v.29 no.3
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    • pp.215-234
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    • 2012
  • Recently, the importance of team based learning has emerged as the method for conducting the constructivist learning theory. College students, however, have the low preference toward team projects. Thus, this research suggested that the information literacy education should be designed to overcome the problems in team project activities after analyzing the college students' information problem solving process. The in-depth interviews were conducted twice with 10 subjects. As a result, the main problems during team project activities were task definition, judgement on relevant information, evaluation of result and process, absence of accountability and synthesis. The recommendations for information literacy course are as follows: introduction to different types of information sources, support for communication problems between team members, education of credibility judgment on information and criteria for evaluating the results.

The Effect of Non-Face-to-Face Class on Core Competencies of College Students in Clothing Major: Focused on Application Case of Flipped Learning (언택트 시대에 비대면 수업이 의류학 분야 대학생의 핵심역량 수준에 미치는 영향: 플립러닝 기법의 적용 사례를 중심으로)

  • Kim, Tae-Youn
    • Journal of Korean Home Economics Education Association
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    • v.34 no.1
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    • pp.151-165
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    • 2022
  • The aim of this study is to examine the effectiveness of non-face-to-face classes conducted due to the COVID-19 crisis. In order to achieve this goal, a non-face-to-face class with flipped learning was applied in one subject of clothing major held at 'S' University in Cheongju, Korea. In addition, this study tried to analyze the differences between pre- and post-non-face-to-face classes in problem analysis ability, resource/information/technology literacy, convergent thinking ability as core competencies, and overall learning satisfaction. As a result, after participating in the non-face-to-face class in which the flipped learning was applied, the students recognized that their abilities improved in the three problem-solving competency sub-areas, and their overall learning satisfaction also increased. The effectiveness of non-face-to-face classes in the field of clothing and fashion has been mainly measured in fashion design and clothing construction courses. However, based on the results of this study, it can be suggested that non-face-to-face classes in a theory-oriented lecture-type class can be effective methods for improving students' core competencies such as problem-solving skills if teaching-learning methods such as flipped learning are applied. Therefore, the results of this study will be useful data for designing differentiated non-face-to-face class strategies in a theory-oriented lecture-type class to improve the core competencies of college students.

Wave propagation in laminated piezoelectric cylindrical shells in hydrothermal environment

  • Dong, K.;Wang, X.
    • Structural Engineering and Mechanics
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    • v.24 no.4
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    • pp.395-410
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    • 2006
  • This paper reports the result of an investigation into wave propagation in orthotropic laminated piezoelectric cylindrical shells in hydrothermal environment. A dynamic model of laminated piezoelectric cylindrical shell is derived based on Cooper-Naghdi shell theory considering the effects of transverse shear and rotary inertia. The wave characteristics curves are obtained by solving an eigenvalue problem. The effects of layer numbers, thickness of piezoelectric layers, thermal loads and humid loads on the wave characteristics curves are discussed through numerical results. The solving method presented in the paper is validated by the solution of a classical elastic shell non-containing the effects of transverse shear and rotary inertia. The new features of the wave propagation in laminated piezoelectric cylindrical shells with various laminated material, layer numbers and thickness in hydrothermal environment and some meaningful and interesting results in this paper are helpful for the application and the design of the ultrasonic inspection techniques and structural health monitoring.

A Study on Flow Shop Scheduling Problems under Fuzzy Environment (퍼지 환경하에서의 FLOW SHOP 일정계획 방법에 관한 연구)

  • 김정자;이상완;박병주
    • Journal of the Korean Operations Research and Management Science Society
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    • v.13 no.2
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    • pp.163-163
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    • 1988
  • This research shows that fuzzy set theory can be useful in modeling and solving flow shop scheduling problems with uncertain processing times and illustrates a method for solving job sequencing problem which the opinions of experts disagree in each processing time. In this study, FCDS (Fuzzified Campbell-Dudek-Smith) algorithm and FNEH (Fuzzified Nawaz-Enscope-Ham) algorithm are proposed to improve the fuzzified Branch & Bound algorithm that requires long run-time and computational complexities to find the optimal sequence. These proposed algorithms are also designed to treat opinions of experts. In this paper, Fuzzy processing times are expressed as triangular fuzzy numbers and comparison method use Lee-Li method and ranking method based on the dominance property. On the basis of the proposed method, an example is presented.

A study on flow shop scheduling problems under fuzzy environment (퍼지 환경하에서의 flow shop 일정계획 방법에 관한 연구)

  • 김정자;이상완;박병주
    • Korean Management Science Review
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    • v.13 no.2
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    • pp.163-175
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    • 1996
  • This research shows that fuzzy set theory can be useful in modeling and solving flow shop scheduling problems with uncertain processing times and illustrates a method for solving job sequencing problem which the opinions of experts disagree in each processing time. In this study, FCDS (Fuzzified Campbell-Dudek-Smith) algorithm and FNEH (Fuzzified Nawaz-Enscope-Ham) algorithm are proposed to improve the fuzzified Branch & Bound algorithm that requires long run-time and computational complexities to find the optimal sequence. These proposed algorithms are also designed to treat opinions of experts. In this paper, Fuzzy processing times are expressed as triangular fuzzy numbers and comparison method use Lee-Li method and ranking method based on the dominance property. On the basis of the proposed method, an example is presented.

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Solving for Missing Link of Exhaust Tube at the Household Gas Boiler USING TRIZ (TRIZ를 활용한 가정용 가스보일러 배기통의 연결부 이탈문제해결)

  • Leem, Sa-Hwan;Huh, Yang-Jeong
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.6
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    • pp.461-465
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    • 2007
  • There have been 3E problems of energy, economy and environment since the earth has its history. Especially, the energy and environment problems have been getting serious after the modem industry revolution. Therefore, the demand of gas as an eco-friendly energy source is getting increased. With the demand of gas, the installation and use of gas boiler is also increased, so human life injury by the waste gas(CO) of boiler goes on increasing every year. It is the content about a life of the exhaust tube which is used at Gas boiler in this paper. We explain also the course to apply the 6SC(6 Step Creativity)of practical TRIZ and evaluate the resolution.