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  • Title/Summary/Keyword: problem solving approach

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A Genetic Algorithm for Solving a QFD(Quality Function Deployment) Optimization Problem

  • Yoo, Jaewook
    • International Journal of Contents
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    • v.16 no.4
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    • pp.26-38
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    • 2020
  • Determining the optimal levels of the technical attributes (TAs) of a product to achieve a high level of customer satisfaction is the main activity in the planning process for quality function deployment (QFD). In real applications, the number of customer requirements for developing a single product is quite large, and the number of converted TAs is also high so the size of the house of quality (HoQ) becomes huge. Furthermore, the TA levels are often discrete instead of continuous and the product market can be divided into several market segments corresponding to the number of HoQ, which also unacceptably increases the size of the QFD optimization problem and the time spent on making decisions. This paper proposed a genetic algorithm (GA) solution approach to finding the optimum set of TAs in QFD in the above situation. A numerical example is provided for illustrating the proposed approach. To assess the computational performance of the GA, tests were performed on problems of various sizes using a fractional factorial design.

A Study on the Optimization Problem Solving utilizing the Quadratic Curve using the Dynamic Geometry Software (동적기하프로그램을 활용한 이차곡선 최적화 문제해결에 관한 연구)

  • Kim, Jung Soo;Jeon, Bo Hyun;Chung, Young Woo;Kim, Boo Yoon;Lee, Yan
    • East Asian mathematical journal
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    • v.30 no.2
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    • pp.149-172
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    • 2014
  • The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.

Module Development to Improve Problem Based Learning Ability in Department of Emergency Medical Technician Lecture - Stroke Package - (응급구조(학)과 수업에서의 문제중심학습 능력 향상을 위한 모듈개발 -뇌졸중 패키지-)

  • Pi, Hye-Young
    • The Korean Journal of Emergency Medical Services
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    • v.16 no.1
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    • pp.31-51
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    • 2012
  • Purpose: This study was to develop PBL packages geared toward fostering the problem-solving ability, self-directed learning capability and communicative competence of emergency medical technician students and to give some suggestions on the development of PBL packages of the approach based on the evaluation results of the packages by experts. Methods: First, real clinical situations that learners would be exposed to after graduation should be provided as examples when the packages are developed. Second, a variety of learning-facilitating tools should be offered to facilitate their understanding, because they don't yet gain plenty of clinical practice experiences. Third, they should be encouraged to have an energetic discussion in small group when the developed packages are applied. Conclusion: First, the packages developed in this study were just incorporated into some areas of a single course. In the future, the integration of an entire course or the development of a new course is required to attain the multiple learning objectives in the provided clinical situations. Second, this study attempted to develop the PBL packages to boost the problem-solving ability, self-directed learning capability and communicative competence of emergency medical technician students, and follow-up research should be implemented to finalize the packages based on the suggestions of the experts who evaluated them and to determine the effects of the packages.

Cooperative Case-based Reasoning Using Approximate Query Answering (근사질의 응답기능을 이용한 협동적 사례기반추론)

  • 김진백
    • The Journal of Information Systems
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    • v.8 no.1
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    • pp.27-44
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    • 1999
  • Case-Based Reasoning(CBR) offers a new approach for developing knowledge based systems. CBR has several research issues which can be divided into two categories : (1) static issues and (2) dynamic issues. The static issues are related to case representation scheme and case data model, that is, focus on casebase which is a repository of cases. The dynamic issues, on the other hand, are related to case retrieval procedure and problem solving process, i.e. case adaptation phase. This research is forcused on retrieval procedure Traditional query processing accepts precisely specified queries and only provides exact answers, thus requiring users to fully understand the problem domain and the casebase schema, but returning limited or even null information if the exact answer is not available. To remedy such a restriction, extending the classical notion of query answering to approximate query answering(AQA) has been explored. AQA can be achieved by neighborhood query answering or associative query answering. In this paper, neighborhood query answering technique is used for AQA. To reinforce the CBR process, a new retrieval procedure(cooperative CBR) using neighborhood query answering is proposed. An neighborhood query answering relaxes a query scope to enlarge the search range, or relaxes an answer scope to include additional information. Computer Aided Process Planning(CAPP) is selected as cooperative CBR application domain for test. CAPP is an essential key for achieving CIM. It is the bridge between CAD and CAM and translates the design information into manufacturing instructions. As a result of the test, it is approved that the problem solving ability of cooperative CBR is improved by relaxation technique.

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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.497-520
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    • 2023
  • Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

ALTERNATED INERTIAL RELAXED TSENG METHOD FOR SOLVING FIXED POINT AND QUASI-MONOTONE VARIATIONAL INEQUALITY PROBLEMS

  • A. E. Ofem;A. A. Mebawondu;C. Agbonkhese;G. C. Ugwunnadi;O. K. Narain
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.131-164
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    • 2024
  • In this research, we study a modified relaxed Tseng method with a single projection approach for solving common solution to a fixed point problem involving finite family of τ-demimetric operators and a quasi-monotone variational inequalities in real Hilbert spaces with alternating inertial extrapolation steps and adaptive non-monotonic step sizes. Under some appropriate conditions that are imposed on the parameters, the weak and linear convergence results of the proposed iterative scheme are established. Furthermore, we present some numerical examples and application of our proposed methods in comparison with other existing iterative methods. In order to show the practical applicability of our method to real word problems, we show that our algorithm has better restoration efficiency than many well known methods in image restoration problem. Our proposed iterative method generalizes and extends many existing methods in the literature.

An Analysis on the Characteristics of Problem-Finding and the Aspects of Using Science and Technology of Undergraduate Students' Convergence Problem Solving Activity (대학생들의 융합형 문제 해결 활동에서 문제발견 및 과학기술 분야 활용 양상 분석)

  • Baek, Jongho
    • Journal of The Korean Association For Science Education
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    • v.36 no.6
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    • pp.867-876
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    • 2016
  • In accordance with the changing of society, remarkable increase in knowledge and information, the competencies to choose and use proper information in various domains are considered as an important skill. As one of the methods in developing these competencies, it is emphasized that a problem-based learning can make student understand and use knowledge by solving the contextualized problem. However, it is skeptical of learner's development of competencies to use knowledge by solving well-defined given problem. Therefore it is required that students be allowed to develop the competency to find problem through experiences to determine and evaluate the purpose of the problem and method. The purpose of this study is to understand how undergraduate students use science or technology in finding a problem. In this line, this study articulated four cases conducted by participants who engaged in convergence teaching-learning program. And this study investigated the participants' process of problem-finding, method and reason to apply science or technology. The results were drawn by analyzing interviews and written data, including their proposal, a poster, and final reports. Participants changed the form of problem from initial ill-structured one into a concrete one, where the participant could derive a detailed solution. Science or technology applied as the detailed example to convert problem into a concrete form, or as the analyzing tool or theoretical background of problem to make a link with other domain. Their reason of applying science or technology could be summarized in 'personal interest based on prior experience' and 'alternatives to resolve a dissatisfaction.' Based on the result, this study suggests holistic approach that is included in both intuitive thinking and logical thinking and metacognitive regulation to stimulate problem-finding in problem-based learning program.

Riccati Equation Approach to H Robust Performance Problem for Descriptor Form System

  • Shen, Tielong;Tamura, Katsutoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.95-99
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    • 1993
  • In this paper, we discuss H robust performance problem for uncertain system described in a descriptor form. We show that the method based on Riccati equation can be extended to solve this problem. First, such a sufficient condition is given that the system described in a descriptor form is quadratic stable and H norm of a specified transfer function is less than a given level. Using this result, a state feedback law which ensures H robust performance of closed loop system is derived based on a positive definite solution of a Riccati equation. This result shows that a solution of the problem can be also obtained by solving H standard problem for an extended plant. Finally, a design example and simulation results will be given.ven.

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A Structural Isomorphism between Problems Counting the Number of Combinations (조합문제 사이의 구조적 동형)

  • Lee Ju-Young;Kim Suh-Ryung;Park Hye-Sook;Kim Wan-Soon
    • The Mathematical Education
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    • v.45 no.1 s.112
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    • pp.123-138
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    • 2006
  • In this paper, we confirm through surveys and interviews that it helps students in solving a problem counting the number of combinations to find a structural isomorphism between the given problem and a typical problem with the same mathematical structure. Then we suggest that a problem of distributing balls into boxes might be a good candidate for a typical problem. This approach is coherent to the viewpoint given by English(2004) that it is educationally important to see the connection and relationship between problems with different context but with similar mathematical structure.

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Integrated Vehicle Routing Model for Multi-Supply Centers Based on Genetic Algorithm (유전자알고리즘 및 발견적 방법을 이용한 차량운송경로계획 모델)

  • 황흥석
    • Journal of the Korea Society for Simulation
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    • v.9 no.3
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    • pp.91-102
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    • 2000
  • The distribution routing problem is one of the important problems in distribution and supply center management. This research is concerned with an integrated distribution routing problem for multi-supply centers based on improved genetic algorithm and GUI-type programming. In this research, we used a three-step approach; in step 1 a sector clustering model is developed to transfer the multi-supply center problem to single supply center problems which are more easy to be solved, in step 2 we developed a vehicle routing model with time and vehicle capacity constraints and in step 3, we developed a GA-TSP model which can improve the vehicle routing schedules by simulation. For the computational purpose, we developed a GUI-type computer program according to the proposed methods and the sample outputs show that the proposed method is very effective on a set of standard test problems, and it could be potentially useful in solving the distribution routing problems in multi-supply center problem.

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