• Title/Summary/Keyword: Mixed Functions

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Estimation of Areal Reduction Factor Using a Mixed Distribution (혼합분포를 이용한 면적감소계수의 산정)

  • Yoo, Chul-Sang;Kim, Kyoung-Jun
    • Journal of Korea Water Resources Association
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    • v.37 no.9
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    • pp.759-769
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    • 2004
  • This study proposes a new methodology to derive the areal reduction factor (ARF) using mixed probability density functions. Estimation of ARFs requires using the simultaneous rainfall data over the basin, which is rarely available in general. The new methodology Proposed in this study uses more available daily rainfall data during a given period, so the mixed probability density functions should be introduced to explain both the rainfall intermittency and variability. This study applied the mixed gamma distribution for the derivation of ARFs for the Keum river basin, and found that the new method is easier for application as well as it provides very comparable results.

Estimable functions of mixed models (혼합모형의 추정가능함수)

  • Choi, Jaesung
    • The Korean Journal of Applied Statistics
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    • v.29 no.2
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    • pp.291-299
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    • 2016
  • This paper discusses how to establish estimable functions when there are fixed and random effects in design models. It proves that estimable functions of mixed models are not related to random effects. A fitting constants method is used to obtain sums of squares due to random effects and Hartley's synthesis is used to calculate coefficients of variance components. To test about the fixed effects the degrees of freedom associated with divisor are determined by means of the Satterthwaite approximation.

Comparison of Various Shear Deformation Functions for Laminated Composite/Sandwich Plates (복합적층 및 샌드위치판 전단변형함수에 관한 상호비교연구)

  • Park, Won-Tae;Chang, Suk-Yoon;Chun, Kyoung-Sik
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.3
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    • pp.1-9
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    • 2010
  • In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

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A Mixed Integer Linear Programming Approach for the Profit Based Unit Commitment Problem under Non-Linear Fuel Consumption Constraint and Maintenance Cost (비선형 연료 제약 및 유지보수 비용을 고려한 Mixed Integer Linear Programming 기반 발전기 주간 운용계획 최적화)

  • Song, Sang-Hwa;Lee, Kyung-Sik
    • Korean Management Science Review
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    • v.25 no.1
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    • pp.43-53
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    • 2008
  • This paper considers a profit-based unit commitment problem with fuel consumption constraint and maintenance cost, which is one of the key decision problems in electricity industry. The nature of non-linearity inherent in the constraints and objective functions makes the problem intractable which have led many researches to focus on Lagrangian based heuristics. To solve the problem more effectively, we propose mixed integer programming based solution algorithm linearizing the complex non-linear constraints and objectives functions. The computational experiments using the real-world operation data taken from a domestic electricity power generator show that the proposed algorithm solves the given problem effectively.

Load spectra growth modelling and extrapolation with REBMIX

  • Volk, Matej;Fajdiga, Matija;Nagode, Marko
    • Structural Engineering and Mechanics
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    • v.33 no.5
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    • pp.589-604
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    • 2009
  • In the field of predicting structural safety and reliability the operating conditions play an essential role. Since the time and cost limitations are a significant factors in engineering it is important to predict the future operating conditions as close to the actual state as possible from small amount of available data. Because of the randomness of the environment the shape of measured load spectra can vary considerably and therefore simple distribution functions are frequently not sufficient for their modelling. Thus mixed distribution functions have to be used. In general their major weakness is the complicated calculation of unknown parameters. The scope of the paper is to investigate the load spectra growth for actual operating conditions and to investigate the modelling and extrapolation of load spectra with algorithm for mixed distribution estimation, REBMIX. The data obtained from the measurements of wheel forces and the braking moment on proving ground is used to generate load spectra.

In-Plane Flexural Vibration Analysis of Arches Using Three-Noded Hybrid-Mixed Element (3절점 혼합유한요소를 이용한 아치의 면내굽힘진동해석)

  • Kim, J.G.
    • Journal of Power System Engineering
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    • v.10 no.4
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    • pp.83-89
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    • 2006
  • Curved beams are more efficient in transfer of loads than straight beams because the transfer is effected by bending, shear and membrane action. The finite element method is a versatile method for solving structural mechanics problems and curved beam problems have been solved using this method by many author. In this study, a new three-noded hybrid-mixed curved beam element is proposed to investigate the in-plane flexural vibration behavior of arches depending on the curvature, aspect ratio and boundary conditions, etc. The proposed element including the effect of shear deformation is based on the Hellinger-Reissner variational principle, and employs the quadratic displacement functions and consistent linear stress functions. The stress parameters are then eliminated from the stationary condition of the variational principle so that the standard stiffness equations are obtained. Several numerical examples confirm the accuracy of the proposed finite element and also show the dynamic behavior of arches with various shapes.

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Calculation of the generator cost functions using the utilization factor of generators and the mixed fuel burning ratio of the generators (이용율과 혼소율을 이용한 발전기의 입출력 특성식 산정)

  • Song, Kyung-Bin;Nam, Jae-Hyun;Park, Si-Woo
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1270-1272
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    • 1999
  • The generator cost function is one of the basic data for the generation scheduling. Generally the cost functions are obtained form design calculations or from heat rate tests. The real operating condition may be different from the condition of design or the tests. Some of the conditions may not be tested during the periodical maintenance. In order to improve the calculation of the generator cost function, this paper presents a new calculation method of the generator cost functions using the utilization factors of generators and the mixed fuel burning ratio of the generators.

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An MILP Approach to a Nonlinear Pattern Classification of Data (혼합정수 선형계획법 기반의 비선형 패턴 분류 기법)

  • Kim, Kwangsoo;Ryoo, Hong Seo
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.2
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    • pp.74-81
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    • 2006
  • In this paper, we deal with the separation of data by concurrently determined, piecewise nonlinear discriminant functions. Toward the end, we develop a new $l_1$-distance norm error metric and cast the problem as a mixed 0-1 integer and linear programming (MILP) model. Given a finite number of discriminant functions as an input, the proposed model considers the synergy as well as the individual role of the functions involved and implements a simplest nonlinear decision surface that best separates the data on hand. Hence, exploiting powerful MILP solvers, the model efficiently analyzes any given data set for its piecewise nonlinear separability. The classification of four sets of artificial data demonstrates the aforementioned strength of the proposed model. Classification results on five machine learning benchmark databases prove that the data separation via the proposed MILP model is an effective supervised learning methodology that compares quite favorably to well-established learning methodologies.

A Study on the Mixed Use Complex Design (Mixed Use Complex 디자인에 관한 연구 -업무/상업/문화오락/주거기능 복합의 사례분석을 중심으로-)

  • 이혜진
    • Archives of design research
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    • v.21
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    • pp.207-217
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    • 1997
  • Mixed Use Area (Multifaceted Integration) is getting increasingly demanded since it has several merits such as preventing CBD from being emptied during night time, making daily life comfortable and utilizing the land more efficiently. However, the characteristic of Mixed Use Area -as advantages of it-, which is that it combines residence, retail, office, cultural, entertainment facilities altogether could be regarded as a weakness when it is viewed from each functions' original purposes such as residential and retail areas'. Accordingly, it is needed to do basic research and develop design guidelines of the Mixed Use Area to prepare its another take-off. The purpose of this research is to study theoretical background of Mixed Use Area's birth, understand its status quo by examining examples overseas and presented possible standardized ways of developing it.

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Study on the Classification of the Mixed-Use Development in terms of the Use and Function in Foreign Countries (해외 도심복합시설의 용도 및 기능에 따른 유형분류)

  • Lee, Ha-Shik;Jung, Bo-Ra;Choi, Young-O;Chae, Chang-U;Lee, Kang-Hee
    • Proceeding of Spring/Autumn Annual Conference of KHA
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    • 2008.04a
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    • pp.245-250
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    • 2008
  • The city means not only a geographical area as a role of the spatial boundary, but also a socio-economic place to communicate with each part. It requires various functions to get the income and activities. But city has a limitation of a available land to provide the required function and a sufficient space to supply the activity. Therefore, the development trend of city has not been to spread to the horizontal area any more and considered the vertical area. In addition, various functions put into a massive building because many people want to solve the daily requirements without spending time and cost. In this paper, it aimed at classifying the mixed-use building into function, circulation, relation between the public and private space and the building shape to provide the design information according to the development constraints such as land area, functional limitation, accessibility, etc. The classification of the mixed-use buildings is divided into four areas. The data are collected with foreign countries in Japan, Europe and US.

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