• 제목/요약/키워드: problem solving techniques

검색결과 303건 처리시간 0.021초

수학적 모델링 과정을 반영한 교과서 문제 재구성 예시 및 적용 (Reconstruction and application of reforming textbook problems for mathematical modeling process)

  • 박선영;한선영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권3호
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    • pp.289-309
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    • 2018
  • There has been a gradually increasing focus on adopting mathematical modeling techniques into school curricula and classrooms as a method to promote students' mathematical problem solving abilities. However, this approach is not commonly realized in today's classrooms due to the difficulty in developing appropriate mathematical modeling problems. This research focuses on developing reformulation strategies for those problems with regard to mathematical modeling. As the result of analyzing existing textbooks across three grade levels, the majority of problems related to the real-world focused on the Operating and Interpreting stage of the mathematical modeling process, while no real-world problem dealt with the Identifying variables stage. These results imply that the textbook problems cannot provide students with any chance to decide which variables are relevant and most important to know in the problem situation. Following from these results, reformulation strategies and reformulated problem examples were developed that would include the Identifying variables stage. These reformulated problem examples were then applied to a 7th grade classroom as a case study. From this case study, it is shown that: (1) the reformulated problems that included authentic events and questions would encourage students to better engage in understanding the situation and solving the problem, (2) the reformulated problems that included the Identifying variables stage would better foster the students' understanding of the situation and their ability to solve the problem, and (3) the reformulated problems that included the mathematical modeling process could be applied to lessons where new mathematical concepts are introduced, and the cooperative learning environment is required. This research can contribute to school classroom's incorporation of the mathematical modeling process with specific reformulating strategies and examples.

자기조작화 신경망을 이용한 복수차량의 실시간 경로계획 (Realtime Multiple Vehicle Routing Problem using Self-Organization Map)

  • 이종태;장재진
    • 한국경영과학회지
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    • 제25권4호
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    • pp.97-109
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    • 2000
  • This work proposes a neural network approach to solve vehicle routing problems which have diverse application areas such as vehicle routing and robot programming. In solving these problems, classical mathematical approaches have many difficulties. In particular, it is almost impossible to implement a real-time vehicle routing with multiple vehicles. Recently, many researchers proposed methods to overcome the limitation by adopting heuristic algorithms, genetic algorithms, neural network techniques and others. The most basic model for path planning is the Travelling Salesman Problem(TSP) for a minimum distance path. We extend this for a problem with dynamic upcoming of new positions with multiple vehicles. In this paper, we propose an algorithm based on SOM(Self-Organization Map) to obtain a sub-optimal solution for a real-time vehicle routing problem. We develope a model of a generalized multiple TSP and suggest and efficient solving procedure.

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복부 자기공명영상 고급 기법과 문제 해결 전략 (Advanced Abdominal MRI Techniques and Problem-Solving Strategies)

  • 이윤희;윤성진;박소현
    • 대한영상의학회지
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    • 제85권2호
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    • pp.345-362
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    • 2024
  • 자기공명영상(이하 MRI)은 복부 영상에서 국소 병변의 감지와 특성을 찾을 수 있는 것 때문에 중요한 역할을 한다. 그러나 MRI 검사에 상대적으로 긴 검사 시간과 호흡 유지 기법에서 움직임 관리와 같은 몇 가지 힘든 요인이 있다. 최근에는 검사 시간을 줄이면서 적절한 이미지 품질을 유지하는 기법인 평행 이미징, 압축 감지(compressed sensing) 및 최첨단 딥 러닝(deep learning) 기술이 등장하여 문제 해결 전략을 가능하게 하고 있다. 또한, 역동적 조영증강 영상에서 자유 호흡 기법은, 추가 차원(extra-dimensional)-부피 보간 호흡 유지 검사(volumetric interpolated breath-hold examination) 및 황금 각도 방사형 희소 병렬(golden-angle radial sparse parallel), 간 가속 볼륨 획득(liver acceleration volume acquisition) 스타와 같은, 심한 호흡곤란이나 마취 중인 환자에게서 복부 MRI를 시행하는 것을 돕는다. 이 임상화보에서는 시간을 줄이면서도 이미지 품질을 유지하기 위한 다양한 고급 복부 MRI 기술과 역동적 영상을 위한 자유 호흡 기술을 제시하고 또한 이를 통한 예시들을 보여주고자 한다. 이러한 첨단 기법들의 고찰은 적용된 시퀀스의 적절한 해석에 도움을 줄 것이다.

SOLVING A COMBINATORIAL PROBLEM WITH NETWORK FLOWS

  • MANEA FLORIN;PLOSCARU CALINA
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.391-399
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    • 2005
  • In this paper we present an algorithm based on network flow techniques which provides a solution for a combinatorial problem. Then, in order to provide all the solutions of this problem, we make use of an algorithm that given the bipartite graph $G=(V_1 {\cup}{V_2},\;E,\;{\omega})$ outputs the enumeration of all bipartite matchings of given cardinality v and cost c.

A Parallel Iterative Algorithm for Solving The Eigenvalue Problem of Symmetric matrices

  • Baik, Ran
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제4권2호
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    • pp.99-110
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    • 2000
  • This paper is devoted to the parallelism of a numerical matrix eigenvalue problem. The eigenproblem arises in a variety of applications, including engineering, statistics, and economics. Especially we try to approach the industrial techniques from mathematical modeling. This paper has developed a parallel algorithm to find all eigenvalues. It is contributed to solve a specific practical problem, a vibration problem in the industry. Also we compare the runtime between the serial algorithm and the parallel algorithm for the given problems.

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Efficiently Solving Dispatching Process Problems in Nurseries by Heuristic Techniques

  • Erhan, Kozan
    • Industrial Engineering and Management Systems
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    • 제1권1호
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    • pp.10-18
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    • 2002
  • A more comprehensive analytical framework for examining the relative merits of alternative dispatching process policies for nurseries is developed in this paper. The efficiency of the dispatch process of plants in a nursery is analysed using a vehicle routing model. The problem then involves determining in what order each vehicle should visit its locations. The problem is NP-hard. Several heuristic techniques are used to solve a real life nursery sequencing problem. The results obtained by these heuristic techniques are compared with each other and the current sequencing of orders. The model with some minor alterations can be also used to minimise the dispatching and collecting process in different agricultural plants.

채찍효과에 대한 트리즈 분석과 연구현황 고찰 (TRIZ Analysis to Bullwhip Effect and a Survey on Studies)

  • 송창용
    • 산업경영시스템학회지
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    • 제39권3호
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    • pp.109-117
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    • 2016
  • Recently, corporate environment is faced with uncertainty that did not suffer in the past. In addition, as the supply chain was expanded and lengthened, the flow of information and material was complicated. Increase in complexity which amplifies the variability of the individual steps in supply chains further adds to the uncertainty. The bullwhip effect that refers the phenomenon where order variability increases as the orders move upstream in the supply chain became serious. The bullwhip effect is more and more important especially for the enterprise in the supply chain. So, there are many studies now since it was observed about 100 years ago. The aim of this paper is to analyze how to solve the bullwhip effect by using TRIZ (Teoriya Resheniya Izobretatelskikh Zadach). TRIZ is one of the most famous tools for creative solving that applied in many fields ranging from management as well as engineering. Among problems, the dilemma needs creative solutions that require handling the contradictions inherent in that. Among various kinds of problem solving techniques, TRIZ provides the concept of physical contradiction as a common problem solving principle. This study provides a simple process of solving problem explains a case of solving problem in the management field and shows the availability of theory in the inventory control. In accordance with the proposed solving process, the paper analyzes the bullwhip effect by applying the TRIZ tools and then identifies the solution directions. Next, the current studies are classified by the above analysis and important managerial concepts are proposed. Lastly, directions for future research on this area are suggested.

짝프로그래밍 협업도구를 활용한 SW교육프로그램 (SW Education Program using Pair Programming Collaboration Tools)

  • 김용옥;전석주
    • 정보교육학회논문지
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    • 제23권4호
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    • pp.375-384
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    • 2019
  • 4차 산업혁명에 따라 빠르게 변화되는 사회에서 미래 인재는 지식의 양이 아닌 질적으로 수준 높은 지식을 활용하고 구성하는 능력이 요구되고 있다. 2015 개정 교육과정의 출범에 따라 역량 중심으로 교육과정이 개편되었으며 소프트웨어 교육에서는 '정보문화소양', '컴퓨팅 사고력', '협력적 문제 해결력'의 역량을 추구하고 있다. 본 연구에서는 미래인재의 역량인 협력적 문제해결력을 함양하기 위해서는 교육 현장에서 교사가 손쉽게 활용 가능한 협업도구와 이를 활용한 SW교육 프로그램을 개발한다. 이러한 협업도구를 활용한 SW교육프로그램은 프로그래밍 언어와 문법에 대한 지식, 프로그래밍 기법에 대해 배우는 것보다 짝프로그래밍을 통해 컴퓨팅 사고력과 협력적 문제해결력을 함양할 수 있다. 총 16차시로 구성된 수업에서 협업도구를 활용한 짝프로그래밍을 통해 수업이 참가한 학생들의 협력적 문제해결력과 코딩 이해도를 향상시킴을 보여준다.

Algorithmic Framework for Business Process Innovation

  • Han Hyun-Soo
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2003년도 춘계공동학술대회
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    • pp.1142-1149
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    • 2003
  • Various organizational factors effect successful implementation of IT enabled business transformation. Among them, the most critical success factor is deemed to overcoming change management problem. Lots of studies have been made on Implementation methodologies and business process formalizations to encourage organizational members to accept new business process changes. However, the logic or process redesign still depends on qualitative problem solving techniques mostly depending on basically human intuition such as brainstorming. cause-and-effect analysis. and so on. In this paper, we focused on developing analytic framework to design to-be business process structure. which can complement qualitative problem solving procedures. With effective use of IT as an enabler, we provide algorithmic framework applicable to designing various business process changes such as process automation, business process resequencing, and more radical process integration. The framework follows dynamic programming approach in the literature, which is based on the decision making paradigm of organizations to abstract business processes as quantitative decision models. As such, our research ran fill the gap of limited development of theory based analytic methodologies for business process design, by providing objective rationale to reach the consensus among the organizational members including senior management.

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지식집약형 컨설팅프로세스 지원을 위한 경영의사결정지원 기술모델 개발연구 (Development of managerial decision-making support technology model for supporting knowledge intensive consulting process)

  • 김용진;진승혜
    • 디지털융복합연구
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    • 제11권4호
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    • pp.251-258
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    • 2013
  • 21세기 들어와 기업은 갈수록 복잡해지고 변동성이 커지는 경영환경에 직면하게 되었다. 또한 다양한 고객의 요구와 치열해지는 경쟁에 대응하기 위하여 경영 전 분야에 걸쳐 긴밀하고 체계적인 의사결정 대안을 선택하고 관리해야 하는 부담이 가중되고 있다. 본 연구에서는 경영의사결정을 지원할 수 있는 기술모델을 컨설팅 문제해결 절차와 기법, 경영프로세스 지식체계와 연계하여 구성하고 문제해결도구로써 지식체계에 기반한 시뮬레이션 도구 활용에 대하여 논의하였다. 나아가 제안하는 경영의사결정지원 기술모델의 시스템구현을 통한 체계적인 지식체계의 확충과 발전 필요성을 논의하였다. 경영의사결정지원 기술모델은 크게 세 가지 요소로써 구성되는데 첫 번째는 문제해결기법으로 참조자료로써 활용이 되며, 두 번째는 표준비즈니스 프로세스와 참조프로세스 모델 정보를 포함하는 프로세스관련 지식체계이다. 세 번째 요소는 문제해결기법과 프로세스 관련 지식체계를 정보로 활용하여 대안을 생성하고 분석하는 도구인 시뮬레이터로 정의하였다. 위의 세 가지 주요요소들은 컨설팅 과정전반에서 표준화된 문세해결 절차에 따라 체계적 분석을 수행하도록 하는 가이드라인을 제세하고 각 분석단계별로 분석기법에 대한 정보를 제공하여 의사결정의 정확성와 객관성 확보를 지원한다. 경영의사결정 지원기술 모델은 궁극적으로 지식집약형 컨설팅 프로세스를 지원하여 다양한 컨설팅 지식을 축적하고 컨설팅기법의 발전과 활용을 촉진하여 컨설팅 산업 발전의 기반기술 개발에 기본 프레임워크를 제공하는데 의의를 지닌다.