• Title/Summary/Keyword: 벌칙함수

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Application of a Penalty Function to Improve Performance of an Automatic Calibration Model (벌칙 함수를 이용한 자동 보정 모형의 기능 향상에 관한 연구)

  • Kang, Tae-Uk;Lee, Sang-Ho
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.853-857
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    • 2012
  • 진화계열 알고리즘은 무제약 최적화 알고리즘이다. 이러한 진화계열 알고리즘에 제약조건을 반영하기 위해서는 제약조건을 다룰 수 있는 추가적인 방법이 요구된다. 연구에서는 SWMM과 집합체 혼합진화 알고리즘을 연계한 자동 보정 모형에 제약조건을 반영하기 위해 벌칙 함수를 적용하였다. 적용된 벌칙 함수는 홍수 유출 해석 시 중요한 요소인 첨두유량과 관계된 제약사항이다. 벌칙 함수를 포함하여 구성된 자동 보정 모형은 밀양댐의 2009년 7월에 발생한 두 개의 호우사상에 대하여 적용되었다. 그 결과, 첨두유량에 관계된 벌칙 함수를 포함하지 않은 자동 보정의 경우, 첨두유량과 첨두유출 발생시간 모두 계산 결과가 관측자료에 부합하지 못하였다. 반면에 벌칙 함수를 적용할 경우, 계산 및 관측 자료의 첨두유량 오차는 확연히 줄었고, 첨두유량의 발생시간은 정확히 일치하였다. 그리고 계산된 수문곡선의 형상도 관측 수문곡선에 적합되었다. 즉, 벌칙 함수를 이용한 제약조건의 반영을 통해 자동 보정 모형의 기능을 향상 시킬 수 있었다.

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Quantile regression using asymmetric Laplace distribution (비대칭 라플라스 분포를 이용한 분위수 회귀)

  • Park, Hye-Jung
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1093-1101
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    • 2009
  • Quantile regression has become a more widely used technique to describe the distribution of a response variable given a set of explanatory variables. This paper proposes a novel modelfor quantile regression using doubly penalized kernel machine with support vector machine iteratively reweighted least squares (SVM-IRWLS). To make inference about the shape of a population distribution, the widely popularregression, would be inadequate, if the distribution is not approximately Gaussian. We present a likelihood-based approach to the estimation of the regression quantiles that uses the asymmetric Laplace density.

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A Study on the Optimal Design of a R-S-S-R Three Dimensional Mechanism (3次元 R-S-S-R 機構의 最適設計 에 관한 硏究)

  • 김호룡;김경률
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.4
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    • pp.528-538
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    • 1985
  • A R-S-S-R three dimensional mechanism is designed for crank-rocker type through the optimization technique. The nonlinear kinematic equation of the mechanism is formulated by adopting the concept of structural error and precision points. Taking this equation as an objective function, the required mechanism is optimally synthesized by the Fletcher-Davidon-Powell's method of optimization techniques. The structural errors due to the various positions of precision points are compared, and the results from the use of two penalty functions suggested respectively by Fiacco-McCormick and by Powell are also compared on their effectiveness. The mobility of the optimally designed mechanism is checked for the possibility of its motion, and when a mechanism is optimally designed, it is strongly suggested that the mobility must be checked on the designed mechanism.

Application of a Penalty Function to Improve Performance of an Automatic Calibration for a Watershed Runoff Event Simulation Model (홍수유출 모형 자동 보정의 벌칙함수를 이용한 기능 향상 연구)

  • Kang, Taeuk;Lee, Sangho
    • Journal of Korea Water Resources Association
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    • v.45 no.12
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    • pp.1213-1226
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    • 2012
  • Evolutionary algorithms, which are frequently used in an automatic calibration of watershed runoff simulation models, are unconstrained optimization algorithms. An additional method is required to impose constraints on those algorithms. The purpose of the study is to modify the SCE-UA (shuffled complex evolution-University of Arizona) to impose constraints by a penalty function and to improve performance of the automatic calibration module of the SWMM (storm water management model) linked with the SCE-UA. As indicators related to peak flow are important in watershed runoff event simulation, error of peak flow and error of peak flow occurrence time are selected to set up constraints. The automatic calibration module including the constraints was applied to the Milyang Dam Basin and the Guro 1 Pumping Station Basin. The automatic calibration results were compared with the results calibrated by an automatic calibration without the constraints. Error of peak flow and error of peak flow occurrence time were greatly improved and the original objective function value is not highly violated in the automatic calibration including the constraints. The automatic calibration model with constraints was also verified, and the results was excellent. In conclusion, the performance of the automatic calibration module for watershed runoff event simulation was improved by application of the penalty function to impose constraints.

Discrete Optimization of Structural System by Using the Harmony Search Heuristic Algorithm with Penalty Function (벌칙함수를 도입한 하모니서치 휴리스틱 알고리즘 기반 구조물의 이산최적설계법)

  • Jung, Ju-Seong;Choi, Yun-Chul;Lee, Kang-Seok
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.33 no.12
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    • pp.53-62
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    • 2017
  • Many gradient-based mathematical methods have been developed and are in use for structural size optimization problems, in which the cross-sectional areas or sizing variables are usually assumed to be continuous. In most practical structural engineering design problems, however, the design variables are discrete. The main objective of this paper is to propose an efficient optimization method for structures with discrete-sized variables based on the harmony search (HS) meta-heuristic algorithm that is derived using penalty function. The recently developed HS algorithm was conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. In this paper, a discrete search strategy using the HS algorithm with a static penalty function is presented in detail and its applicability using several standard truss examples is discussed. The numerical results reveal that the HS algorithm with the static penalty function proposed in this study is a powerful search and design optimization technique for structures with discrete-sized members.

Member Design of Frame Structure Using Genetic Algorithm (유전자알고리즘에 의한 골조구조물의 부재설계)

  • Lee, Hong-Woo
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.91-98
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    • 2004
  • Genetic algorithm is one of the best ways to solve a discrete variable optimization problem. This method is an unconstrained optimization technique, so the constraints are handled in an implicit manner. The most popular way of handling constraints is to transform the original constrained problem into an unconstrained problem, using the concept of penalty function. I present the 3 fitness functions which represent the reject strategy, the penalty strategy, and the combined strategy. I make the design program using the 3 fitness Auctions and it is applied to the design problem of a gable frame and a 2 story 3 span frame.

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Investigating spatial clusters of single-person households and low-income elderly single-person using penalized likelihood (벌칙가능도함수를 이용한 1인가구와 저소득 독거노인의 공간군집 탐색)

  • Song, Eunjung;Lee, Woojoo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1257-1260
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    • 2017
  • Single-person households recently have been rapidly increasing and one reason may be the increment in elderly single-person. Since the change of living patterns is relevant to the government policy direction, it is important to understand how single-person households are clustered and which factors have influence on them. In this study, we tried to detect spatial clusters of single-person households and low-income elderly single-person households after adjusting for deprivation index. A recently developed fused lasso for Poisson data was used for data analysis and we provided the details on how to use it in R. From these analysis results, we observed the effect of socioeconomic level on the clusters and explained the reason why spatial clusters are shown after adjusting for deprivation index.

Discrete Optimum Design of Semi-rigid Steel Frames Using Refined Plastic Hinge Analysis and Genetic Algorithm (개선소성힌지해석과 유전자 알고리즘을 이용한 반강접 강골조의 이산최적설계)

  • Lee, Mal Suk;Yun, Young Mook;Kang, Moon Myoung
    • Journal of Korean Society of Steel Construction
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    • v.16 no.2 s.69
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    • pp.201-213
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    • 2004
  • A GA-based optimum design algorithm and a program for plane steel frame structures with semi-rigid connections are presented. The algorithm is incorporated with the refined plastic hinge analysis method wherein geometric nonlinearity is considered by using the stability functions of beam-column members, and material nonlinearity, by using the gradual stiffness degradation model that includes the effects of residual stresses, moment redistribution through the occurrence of plastic hinges, semi-rigid connections, and geometric imperfection of members. In the genetic algorithm, the tournament selection method and micro-GAs are employed. The fitness function for the genetic algorithm is expressed as an unconstrained function composed of objective and penalty functions. The objective and penalty functions are expressed as the weight of steel frames and the constraint functions, respectively. In particular, the constraint functions fulfill the requirements of load-carrying capacity, serviceability, ductility, and construction workability. To verify the appropriateness of the present method, the optimal design results of two plane steel frames with rigid and semi-rigid connections are compared.

Research on the Optimum Design for PSC Box Girder Bridges Using the Full Staging Method (FSM 공법 PSC 박스 거더교의 최적설계에 관한 연구)

  • Kim, Ki-Wook;Park, Moon-Ho;Chang, Chun-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.3
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    • pp.159-167
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    • 2004
  • The objective of this study is development of the optimum design program to minimize the cost for PSC box girder bridge using the full staging method to indicate the necessity for the optimum design applied many types of bridges. It also considered the proper span length to girder depth ratio and the cell number along the width of bridge. This program used SUMT procedure and Kavlie's extended penalty function to allow infeasible design points in the process. Powell's direct method was used in searching design points and Gradient Approximate Method was used to reduce design hours. This study showed the convergence in design parameter and correlation of totally optimized cost according to cell numbers, span lengths, and lane numbers.