• Title/Summary/Keyword: Mathematical problem

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Optimal Number of Spare Engines and Modules for Aircraft Types (항공기 유형을 고려한 최적 예비엔진 및 모듈 소요 산출)

  • Jeon, Tae Bo;Sohn, Young Hwan;Kim, Ki Dong
    • Journal of the Korea Society for Simulation
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    • v.26 no.3
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    • pp.35-46
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    • 2017
  • Spare engine plays an important role for securing readiness of military strength during unexpected fault occurrences and field/depot planned maintenances. The purpose of this research is to present an approach towards the optimal number of spare engines/modules for diversity of aircraft types. We first reviewed two representative approaches, METRIC and meta model. We then investigated military aircrafts and categorized them into 5 types with regard to the engine type and number of engines/modules per aircraft. Through rigorous investigation of planned/non-planned maintenance of each type, we drew parameters and variables involved. As known, due to the complexity of the problem, it is impossible to develop a simple mathematical model with a closed form solution. Based on the airbase operation and maintenance logic with parameters/variable drawn, we developed a simulation model using ARENA well representing real field exercises. For the optimal solution, we applied OptQuest. It has shown that the program developed generates reliable results through a set of case examples.

Engagement Level Simulator Development for Wire-Guided Torpedo Performance Analysis (선유도어뢰 전술 효과도 분석을 위한 교전수준 모델 개발 연구)

  • Cho, Hyunjin
    • Journal of the Korea Society for Simulation
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    • v.27 no.1
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    • pp.33-38
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    • 2018
  • This paper introduces the simulation concepts and technical approach of wire-guided torpedo performance analysis simulator, as a consequence, provide a framework for understanding overall attack procedures and effectiveness of tactics to torpedo operator. It described the mathematical models of simulation components and weapon engagement principle, especially it derived the closed-form solution of time consumption and leading angle problem of torpedo attack situation based on geographical assumption. In addition, it adopted the proportional navigation guidance at final stage of torpedo attack and also consider the tradeoff relation between target ship speed(propeller noise level) and detection probability, so that it improves the fidelity of physical realism. Simulator is developed with high degree of freedom in the perspective of tactical situation, and it helps user to understand the overall situation and tactical effectiveness.

Three Dimensional Correction Factors for the Added Mass in the Horizontal Vibration of Ships (선체수평진동(船體水平振動)에 있어서의 부가질량(附加質量) 3차원수정계수(次元修正係數))

  • K.C.,Kim;B.K.,Yoo
    • Bulletin of the Society of Naval Architects of Korea
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    • v.11 no.1
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    • pp.9-16
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    • 1974
  • To contribute towards more accurate estimation of the virtual inertia coefficient for the horizontal vibration of ships, three dimensional correction factor $J_H$ for the added mass of finitely long elliptic prismatic bars in horizontal vibration in a free surface of an ideal fluid are calculated. In the problem formulation Dr. T. Kumai's quasi-finite length concept[1,11,12] is employed. Now that, in Dr. Kumai's work[1] for the horizontal vibration the mathematical model was a circular cylinder, the principal aim of the authors' work is to investigate the influence of the beam-draft ratio B/T on $J_H$. The numerical results of this work are shown in Fig.3 graphically, from which we may recognize that the influence of B/T on $J_H$ is remarkable as much as that of the length-draft ratio L/T(refer to Fig.1 also). In Fig.3 the curves for B/T=2.00 are of those based on Dr. Kumai's result[1]. On the other hand, the experimental data obtained by Burril et al.[9] for the horizontal vibration of finitely long prismatic bars of various cross-section shapes are compared with the theoretical added mass coefficients defined by combination of the authors' $J_H$ from Fig.3 and two dimensional coefficients $C_H$ obtained by Lewis form approximation for the corresponding sections. They are in reasonable correspondence with each other as shown in Fig.2. Finally, considering that the longitudinal profile of full-form ship's hull is well resembled to that of an elliptic cylinder and that the influences of other factors such as the sectional area coefficient and the shape of section contour itself can be well merged in the two dimensional added mass coefficient, the authors recommend that the data given in Fig.3 may be successfully adopted for the three dimensional correction factor the added mass in the horizontal vibration of hull-form ships.

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Analysis on the Importance of Dental Technicians' Basic Vocational Competency elements to Improve the Dental Technology Curriculum (치기공과 교육과정 제고를 위한 치과기공사의 직업기초능력 중요도 분석)

  • Jung, Hyo-Kyung;Park, Nam-Gyu
    • Journal of Technologic Dentistry
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    • v.41 no.1
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    • pp.31-41
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    • 2019
  • Purpose: This provides basic data for improving educational effectiveness by selecting and applying basic vocational competency applicable to dental technology's sub-major curricula by determining and researching dental technicians' awareness levels concerning the basic vocational competency's importance. Methods: 170 dental technicians working in Daegu, Korea were surveyed using a self-administered questionnaire between 9 January 2018 and 23 February 2018. Results: 1. The highest level of the basic vocational competency elements by the awareness levels of importance in dental technology laboratories was shown in the occupational ethics, followed by technological skills, interpersonal skills, self-development levels, problem-solving skills, information skills, resource management skills and skills for understanding groups, communication skills, and mathematical skills. 2. Female dental technicians put relatively higher importance on writing documents and managing time, while males stressing on basic statistics. 3. Dental laboratory CEOs and managers put high values on resource management skills, while head technicians valuing information skills more. 4. The awareness levels concerning the basic vocational competency importance in some dental technology fields did not match those of the dental technology laboratories in the fields of porcelain, crown and bridge, and orthodontics. Conclusion : This study demonstrates that the awareness levels concerning basic vocational competency's importance in some fields of dental technology differ from those of dental technology laboratories. Developing a basic vocational competency curriculum, it seems necessary to find ways to increase educational effectiveness by selecting and applying the basic vocational competency for the respective fields of dental technology.

An Analysis of Double Scale Models in the Japanese Elementary Mathematics Textbooks (일본 교과서에 제시된 이중 척도 모델에 관한 분석)

  • Seo, EunMi;Cho, SeonMi;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.22 no.1
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    • pp.29-48
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    • 2019
  • Previous studies on double scale models, visual models with two different scales (Chong, 2015), have focused on double number line and little research has been conducted on how to employ double scale models in the elementary mathematics textbooks series. Given this, we analyzed the characteristics of double scale models in the Japanese elementary mathematics textbooks in the following aspects: (a) the contents of units where double scale models were used; (b) the purposes of using such models; (c) the types of such models tailored to the contents and grade levels; and (d) the characteristics of problem contexts dealing with the models. The results of this study showed that double scale models were effectively used to connect the contents related to multiplication, specifically for the contexts of ratio. Such models were addressed for students in a systematic and gradual way as the grade levels went up. Based on these results, this paper describes implications on how to use double scale models in mathematics textbooks.

Logistics Allocation and Monitoring System based on Map and GPS Information (Map과 GPS 기반의 혼적을 고려한 물류할당 및 모니터링 시스템)

  • Park, Chulsoon;Bajracharya, Larsson
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.4
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    • pp.138-145
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    • 2018
  • In the field of optimization, many studies have been performed on various types of Vehicle Routing Problem (VRP) for a long time. A variety of models have been derived to extend the basic VRP model, to consider multiple truck terminal, multiple pickup and delivery, and time windows characteristics. A lot of research has been performed to find better solutions in a reasonable time for these models with heuristic approaches. In this paper, by considering realtime traffic characteristics in Map Navigation environment, we proposed a method to manage realistic optimal path allocation for the logistics trucks and cargoes, which are dispersed, in order to realize the realistic cargo mixing allowance and time constraint enforcement which were required as the most important points for an online logistics brokerage service company. Then we developed a prototype system that can support above functionality together with delivery status monitoring on Map Navigation environment. First, through Map Navigation system, we derived information such as navigation-based travel time required for logistics allocation scheduling based on multiple terminal multiple pickup and delivery models with time constraints. Especially, the travel time can be actually obtained by using the Map Navigation system by reflecting the road situation and traffic. Second, we made a mathematical model for optimal path allocation using the derived information, and solved it using an optimization solver. Third, we constructed the prototype system to provide the proposed method together with realtime logistics monitoring by arranging the allocation results in the Map Navigation environment.

The Study of Teaching Multiplication (곱셈 지도에 관한 고찰)

  • Kang, Monbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.369-384
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    • 2018
  • Multiplication is able to be described by using repeated addition, a Cartesian product, a scalar operation, rectangular array and area in many various context. Multiplication in various problem situations is learned by various of the teaching method and the order of teaching more than any other mathematical concepts and operations in elementary school. Nevertheless, the context of multiplication leaves further room for improvement. The purpose of this study is to examine the similarities and differences between the conceptual aspects of multiplication through the literature and to analyze the appropriateness of the teaching method and the order of teaching through textbook analysis. As a result of the study, it was found that multiplication of a scalar operation was introduced too early and did not properly reflect of meaning of multiplication as a scalar operation. There is also a need to use the concept of the rectangular array or area as a meaning of multiplication two quantities.

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A Study on the Instructional Model utilizing Scratch for Introductory Programming Classes of SW-Major Students (SW전공자 프로그래밍 입문 수업의 스크래치 활용 수업 모형 연구)

  • KO, Kwangil
    • Convergence Security Journal
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    • v.18 no.2
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    • pp.59-67
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    • 2018
  • The programming language is a core education area of software that is becoming increasingly important in the age of the fourth industrial revolution, but it requires mathematical knowledge and logical thinking skills, so that many local private university and college students with low basic skills are having difficulties learning it. This problem occasionally causes SW-major students to lose interest and confidence in their majors during the introductory course of programming languages; making them change their majors, or give up their studies. In this study, we designed an instructional model using Scratch for educating C-language which is a typical programming introductory language. To do this, we analyzed the concepts that can be trained by Scratch among the programming concepts supported by C-language, and developed the examples of Scratch for exercising the concepts. In addition, we designed an instructional model, by which the programming concepts are first learned through Scratch and then C-language is taught, and conducted an experiment on the SW-major freshman students of a local private university to verify the effectiveness of the model. In the situation where SW education is becoming common, we expect that this study will help programming language education of security IT students.

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A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation

  • Boukhlif, Zoulikha;Bouremana, Mohammed;Bourada, Fouad;Bousahla, Abdelmoumen Anis;Bourada, Mohamed;Tounsi, Abdelouahed;Al-Osta, Mohammed A.
    • Steel and Composite Structures
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    • v.31 no.5
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    • pp.503-516
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    • 2019
  • This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (${\varepsilon}_z{\neq}0$), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

An Analysis on the Contents of Fractional Operations in CCSSM-CA and its Textbooks (CCSSM-CA와 미국 교과서에 제시된 분수의 연산 내용 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.22 no.2
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    • pp.129-147
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    • 2019
  • Because of the various concepts and meanings of fractions and the difficulty of learning, studies to improve the teaching methods of fraction have been carried out. Particularly, because there are various methods of teaching depending on the type of fractions or the models or methods used for problem solving in fraction operations, many researches have been implemented. In this study, I analyzed the fractional operations of CCSSM-CA and its U.S. textbooks. It was CCSSM-CA revised and presented in California and the textbooks of Houghton Mifflin Harcourt Publishing Co., which reflect the content and direction of CCSSM-CA. As a result of the analysis, although the grades presented in CCSSM-CA and Korean textbooks were consistent in the addition and subtraction of fractions, there are the features of expressing fractions by the sum of fractions with the same denominator or unit fraction and the evaluation of the appropriateness of the answer. In the multiplication and division of fractions, there is a difference in the presentation according to the grades. There are the features of the comparison the results of products based on the number of factor, presenting the division including the unit fractions at first, and suggesting the solving of division problems using various ways.