• Title/Summary/Keyword: 대수 도입

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Selection of Probability Distribution of Pavement Life Based on Reliability Method (신뢰성 개념을 이용한 적정 포장 수명분포 선정)

  • Do, Myung-Sik;Kwon, Soo-Ahn
    • International Journal of Highway Engineering
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    • v.12 no.1
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    • pp.61-69
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    • 2010
  • In this paper, we present the methodology about an optimal probability distribution selection as well as survival rate estimation with the national highway database from 1999 to 2008. Probability paper methods are adopted to estimate the parameters of each hazard model. The goodness-of-fit test, such as the Anderson-Darling statistics, was performed. As a result, we found that Lognormal distributionan is an appropriate distribution of newly constructed sections as well as overlayed sections. We also ascertained that the results of survival rate for pavement life between the proposed method and observed data are similar. Such a selection methodology and measures based on reliability theory can provide useful information for maintenance plans in pavement management systems as long as additional life data on pavement sections are accumulated.

Development of Optimal Bus Scheduling Algorithm with Multi-constraints (다중제약을 고려한 최적 버스운행계획 알고리즘 개발)

  • Lee, Ho-Sang;Park, Jong-Heon;Jo, Seong-Hun;Yun, Byeong-Jo
    • Journal of Korean Society of Transportation
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    • v.24 no.7 s.93
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    • pp.129-138
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    • 2006
  • After Seoul has introduced semi-public bus management system(public management-private operation), the Seoul Metro Government needs a scientific management tool for optimal scheduling for bus routes, to reduce unnecessary operations and provide demand responsive service. As a product of this effort, this paper proposes a heuristic model that could minimize total passenger waiting time under the constraints, such as number of vehicles, working conditions, max load point, minimax headway. etc. For verifying the validity of the proposed model, it is applied to an existing bus route. It results that headways in rush hours become decreased and the passenger waiting time could be decreased. In conclusion. it is thought that the Proposed model contributes to efficiency of bus operation.

Assessment of Regional Groundwater Pollution Hazard using Potential Pollutant of Pohang Area (잠재오염원을 이용한 포항지역의 광역적 지하수 오염 위험성 평가)

  • Lee, Sa-Ro;Kim, Yong-Seong;Kim, Deuk-Geun
    • Journal of the Korean Association of Geographic Information Studies
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    • v.9 no.3
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    • pp.1-13
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    • 2006
  • The aim of the study is to assess groundwater pollution hazard of Pohang city using the DRASTIC system developed by the US Environmental Protection Agency (USEPA). Hydrogeological spatial databases of the system include information on depth to groundwater, net recharge, aquifer media, soil media, topographic slope, hydraulic conductivity, lineament and potential pollution source. With GIS based on these hydrogeological databases and the DRASTIC system, the regional groundwater vulnerability of the study area was assessed. Then the vulnerability was overlaid with potential pollution source and the regional groundwater pollution hazard was assessed by administrative district. From the results of the study, areas where need the counter plan for groundwater pollution and where should be managed for the groundwater pollution, are identified.

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A study on the transition of the representations of numbers and mathematical symbols in Joseon mathematics (조선산학의 수학적 표현의 변천에 대한 고찰 - 수와 연산, 문자와 식 영역을 중심으로 -)

  • Choi, Eunah
    • Communications of Mathematical Education
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    • v.28 no.3
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    • pp.375-394
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    • 2014
  • The purpose of this study is to examine the transition of mathematical representation in Joseon mathematics, which is focused on numbers and operations, letters and expressions. In Joseon mathematics, there had been two numeral systems, one by chinese character and the other by counting rods. These systems were changed into the decimal notation which used Indian-Arabic numerals in the late 19th century passing the stage of positional notation by Chinese character. The transition of the representation of operation and expressions was analogous to that of representation of numbers. In particular, Joseon mathematics represented the polynomials and equations by denoting the coefficients with counting rods. But the representation of European algebra was introduced in late Joseon Dynasty passing the transitional representation which used Chinese character. In conclusion, Joseon mathematics had the indigenous representation of numbers and mathematical symbols on our own. The transitional representation was found before the acceptance of European mathematical representations.

Drone Force Deployment Optimization Algorithm For Efficient Military Drone Operations (효율적 군용 드론 작전 운영을 위한 Drone Force Deployment Optimization 알고리즘)

  • Song, Ju-Young;Jang, Hyeon-Deok;Chung, Jong-Moon
    • Journal of Internet Computing and Services
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    • v.21 no.1
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    • pp.211-219
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    • 2020
  • One of the major advancements of the Fourth Industrial Revolution is the use of Internet of Drones (IoD), which combines the Internet of Things (IoT) and drone technology. IoD technology is especially important for efficiently and economically operating C4ISR operations in actual battlefields supporting various combat situations. The purpose of this study is to solve the problems of limited battery capacity of drones and lack of budgeting criteria for military drone transcription, introduction, and operation. If the mission area is defined and corresponding multi-drone hovering check points and mission completion time limits are set, then an energy and time co-optimized scheduling and operation control scheme is needed. Because such a scheme does not exist, in this paper, a Drone Force Deployment Optimization (DFDO) scheme is proposed to help schedule multi-drone operation scheduling and networked based remote multi-drone control.

A Study on Meaning of One-to-One Correspondence through the Operation of Matrix (행렬의 연산을 통해 본 일대일 대응의 의미에 관한 고찰)

  • Chung, Young-Woo;Kim, Boo-Yoon;Hwang, Jong-Chul;Kim, So-Young
    • School Mathematics
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    • v.13 no.3
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    • pp.405-422
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    • 2011
  • In this study, we consider the meaning of one-to-one correspondence through theoretical background under operation of matrix. On algebraic point of view, its significance is 'through one-to-one correspondence from a set with given structure, become a methods in order to induce an algebraic system in to a new set.' That is a key idea making isomorphic structure. Such process experiences necessity of mathematical fact, as well as the deep understanding of one-to-one correspon -dence. Also that becomes a base for develop a various mathematical concepts, such as matrix, exponential laws, symmetric difference, permutation and so on. This study help teachers and students to understand of mathematical concepts meaningfully and to facilitate teacher's professional development.

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Case Study of the Sixth Grade Students' Quantitative Reasoning (초등학교 6학년 학생의 양적 추론 사례 연구)

  • Jeong, Hyung-Og;Lee, Kyung-Hwa;Pang, Jeong-Suk
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.81-98
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    • 2009
  • This study analyzed the types of quantitative reasoning and the characteristics of representation in order to figure out the characteristics of quantitative reasoning of the sixth graders. Three students who used quantitative reasoning in solving problems were interviewed in depth. Results showed that the three students used two types of quantitative reasoning, that is difference reasoning and multiplicative reasoning. They used qualitatively different quantitative reasoning, which had a great impact on their problem-solving strategy. Students used symbolic, linguistic and visual representations. Particularly, they used visual representations to represent quantities and relations between quantities included in the problem situation, and to deduce a new relation between quantities. This result implies that visual representation plays a prominent role in quantitative reasoning. This paper included several implications on quantitative reasoning and quantitative approach related to early algebra education.

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The fraction of simplex-centroid mixture designs (심플렉스 중심배열법의 일부실시에 관한 연구)

  • Kim, Hyoung Soon;Park, Dong Kwon
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1295-1303
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    • 2015
  • In a mixture experiment, one may be interested in estimating not only main effects but also some interactions. Main effects and interactions may be estimated through appropriate designs such as simplex-centroid designs. However, the estimability problems, implied by the sum to one functional relationship among the factors, have strong consequences on the confounding and identifiability of models for such designs. To handle these problems, we address homogeneous polynomial model based on the computational commutative algebra (CCA) instead of using $Scheff{\acute{e}}s$ canonical model which is typically used. The problem posed here is to give how to choose estimable main effects and also some low-degree interactions. The theory is tested using a fraction of simplex-centroid designs aided by a modern computational algebra package CoCoA.

Modeling and Simulation of Electric Vehicle Sharing System for Optimized Operation (전기차 카셰어링 시스템 최적화를 위한 모델링 및 시뮬레이션)

  • Seo, Yong Won
    • Journal of the Korea Society for Simulation
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    • v.25 no.4
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    • pp.93-108
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    • 2016
  • Electric vehicle car sharing (EV-sharing) system is noted as an eco-friendly system of transportation in global warming crisis and has been practically implemented in some cities around the world. However, methodologies to find the efficient operation conditions of EV-sharing systems reflecting a typical characteristic 'charging' have not been fully investigated yet. In the paper a generalized model has been developed to identify optimal level of infrastructure for EV-sharing system which provides the optimum operation efficiency under service level constraints. From the simulation analysis based on the developed model the relationships between the operational variables to describe EV-sharing system have been identified and optimal capacity to maximize the operational efficiency have been found. From the analysis of simulation results it has been found that increases in the number of vehicles and chargers improve the service level until certain value beyond which increasing rate and the efficiency have been reduced. From the cost-revenue analysis the optimal numbers of vehicles and chargers have been identified which maximizes the annual operational profit.

Efficient Utilization of Public Bicycle Stations (공영자전거 스테이션의 효율적 활용 방안에 관한 연구)

  • Park, Ki Jun;Jung, Hun Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.42 no.1
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    • pp.75-81
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    • 2022
  • Public bicycles are a representative eco-friendly transportation means that can reduce carbon emissions and play an important role in first/last mile mobility and that can be linked to public transportation in the future MaaS era. In 2008, Changwon City started operating donor bicycles for the first time in Korea. However, as the infrastructure of public bicycles has expanded without a theoretical basis for over 10 years, operating costs are increasing due to a decrease in operational efficiency, which makes it difficult to quantitatively expand the service. In this study, a method for calculating the number of stands suitable for the use of public bicycles was presented, and an efficiency index was developed to evaluate the efficiency of public bicycle infrastructure. The method presented in this study was found by examining the relationship between numbers of rentals and returns of public bicycles and the number of bicycle holders. It is expected that the results can be used by other local governments.