• Title/Summary/Keyword: discrete variables

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Efficiency Evaluation of Harmony Search Algorithm according to Constraint Handling Techniques : Application to Optimal Pipe Size Design Problem (제약조건 처리기법에 따른 하모니써치 알고리즘의 효율성 평가 : 관로 최소비용설계 문제의 적용)

  • Yoo, Do Guen;Lee, Ho Min;Lee, Eui Hoon;Kim, Joong Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.7
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    • pp.4999-5008
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    • 2015
  • The application of efficient constraint handling technique is fundamental method to find better solutions in engineering optimization problems with constraints. In this research four of constraint handling techniques are used with a meta-heuristic optimization method, harmony search algorithm, and the efficiency of algorithm is evaluated. The sample problem for evaluation of effectiveness is one of the typical discrete problems, optimal pipe size design problem of water distribution system. The result shows the suggested constraint handling technique derives better solutions than classical constraint handling technique with penalty function. Especially, the case of ${\varepsilon}$-constrained method derives solutions with efficiency and stability. This technique is meaningful method for improvement of harmony search algorithm without the need for development of new algorithm. In addition, the applicability of suggested method for large scale engineering optimization problems is verified with application of constraint handling technique to big size problem has over 400 of decision variables.

Multiple Attempts at Embryo Transfer do not Adversely Affect In-vitro Fertilization Pregnancy Rates: Related Mucus Contamination (반복 배아 이식이 임신율에 미치는 영향: 이식관의 점액 유무)

  • Jung, Byeong-Jun;Kim, Jong-Sik;Kwon, Cheo-Jin;Ryu, Mi-Jin;Kim, Myung-Sin;Kang, Eun-Hee;Sim, Jong-Ok;Song, Hyun-Jin;Oh, Ik-Hwan
    • Clinical and Experimental Reproductive Medicine
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    • v.30 no.1
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    • pp.57-64
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    • 2003
  • Objective : We investigate the effects of multiple attempts of embryo transfer because of retained embryos in the catheter and of contaminated mucus on the transferred catheter. Materials and Methods: We respectively analysed data between November 1998 and August 2002 from 305 patients of 369 cycles who underwent IVF-ET. Of these patients, 47 patients of 50 cycles (Group 2) were required multiple trial of embryo transfer. They were compared with an age-matched control groups (Group 1) with female factor infertility. Pearson's $?^2$ and Fisher's tests were used to compare proportions between discrete variables. Noncategorical data were compared using t-test. Statistical significance was set at p<0.05. Results: Embryos were significantly more likely to be retained when catheter was contaminated with mucus (Group 1: 22.4%; Group 2: 44.0%). The clinical pregnancy rates, however, for the contaminated mucus or not, were 46.8%, 43.5% respectively. There was no significant difference clinical pregnancy rate between those who had all their embryos transferred at the first attempt (45.4%) and those who required more than one attempt (48.0%). Conclusions: Contaminated mucus in the catheter is associated with failed embryo transferred at the first attempt. Embryo transfers, however, that are repeated attempts do not adversely affect pregnancy rates following IVF-ET.

A Wavelet-based Profile Classification using Support Vector Machine (SVM을 이용한 웨이블릿 기반 프로파일 분류에 관한 연구)

  • Kim, Seong-Jun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.5
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    • pp.718-723
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    • 2008
  • Bearing is one of the important mechanical elements used in various industrial equipments. Most of failures occurred during the equipment operation result from bearing defects and breakages. Therefore, monitoring of bearings is essential in preventing equipment breakdowns and reducing unexpected loss. The purpose of this paper is to present an online monitoring method to predict bearing states using vibration signals. Bearing vibrations, which are collected as a form of profile signal, are first analyzed by a discrete wavelet transform. Next, some statistical features are obtained from the resultant wavelet coefficients. In order to select significant ones among them, analysis of variance (ANOVA) is employed in this paper. Statistical features screened in this way are used as input variables to support vector machine (SVM). An hierarchical SVM tree is proposed for dealing with multi-class problems. The result of numerical experiments shows that the proposed SVM tree has a competent performance for classifying bearing fault states.

Material Optimization of BIW for Minimizing Weight (경량화를 위한 BIW 소재 최적설계)

  • Jin, Sungwan;Park, Dohyun;Lee, Gabseong;Kim, Chang Won;Yang, Heui Won;Kim, Dae Seung;Choi, Dong-Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.4
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    • pp.16-22
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    • 2013
  • In this study, we propose the method of optimally changing material of BIW for minimizing weight while satisfying vehicle requirements on static stiffness. First, we formulate a material selection optimization problem. Next, we establish the CAE procedure of evaluating static stiffness. Then, to enhance the efficiency of design work, we integrate and automate the established CAE procedure using a commercial process integration and design optimization (PIDO) tool, PIAnO. For effective optimization, we adopt the approach of metamodel based approximate optimization. As a sampling method, an orthogonal array (OA) is used for selecting sampling points. The response values are evaluated at the sampling points and then these response values are used to generate a metamodel of each response using the linear polynomial regression (PR) model. Using the linear PR model, optimization is carried out an evolutionary algorithm (EA) that can handle discrete design variables. Material optimization result reveals that the weight is reduced by 44.8% while satisfying all the design constraints.

Shear Deformation of Steel Fiber-Reinforced Prestressed Concrete Beams

  • Hwang, Jin-Ha;Lee, Deuck Hang;Ju, Hyunjin;Kim, Kang Su;Kang, Thomas H.K.;Pan, Zuanfeng
    • International Journal of Concrete Structures and Materials
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    • v.10 no.sup3
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    • pp.53-63
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    • 2016
  • Steel fiber-reinforced prestressed concrete (SFRPSC) members typically have high shear strength and deformation capability, compared to conventional prestressed concrete (PSC) members, due to the resistance provided by steel fibers at the crack surface after the onset of diagonal cracking. In this study, shear tests were conducted on the SFRPSC members with the test variables of concrete compressive strength, fiber volume fraction, and prestressing force level. Their localized behavior around the critical shear cracks was measured by a non-contact image-based displacement measurement system, and thus their shear deformation was thoroughly investigated. The tested SFRPSC members showed higher shear strengths as the concrete compressive strength or the level of prestress increased, and their stiffnesses did not change significantly, even after diagonal cracking due to the resistance of steel fibers. As the level of prestress increased, the shear deformation was contributed by the crack opening displacement more than the slip displacement. In addition, the local displacements around the shear crack progressed toward directions that differ from those expected by the principal strain angles that can be typically obtained from the average strains of the concrete element. Thus, this localized deformation characteristics around the shear cracks should be considered when measuring the local deformation of concrete elements near discrete cracks or when calculating the local stresses.

Multi-level Shape Optimization of Lower Arm by using TOPSIS and Computational Orthogonal Array (TOPSIS와 전산직교배열을 적용한 자동차 로워암의 다수준 형상최적설계)

  • Lee, Kwang-Ki;Han, Seung-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.4
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    • pp.482-489
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    • 2011
  • In practical design process, designer needs to find an optimal solution by using full factorial discrete combination, rather than by using optimization algorithm considering continuous design variables. So, ANOVA(Analysis of Variance) based on an orthogonal array, i.e. Taguchi method, has been widely used in most parts of industry area. However, the Taguchi method is limited for the shape optimization by using CAE, because the multi-level and multi-objective optimization can't be carried out simultaneously. In this study, a combined method was proposed taking into account of multi-level computational orthogonal array and TOPSIS(Technique for Order preference by Similarity to Ideal Solution), which is known as a classical method of multiple attribute decision making and enables to solve various decision making or selection problems in an aspect of multi-objective optimization. The proposed method was applied to a case study of the multi-level shape optimization of lower arm used to automobile parts, and the design space was explored via an efficient application of the related CAE tools. The multi-level shape optimization was performed sequentially by applying both of the neural network model generated from seven-level four-factor computational orthogonal array and the TOPSIS. The weight and maximum stress of the lower arm, as the objective functions for the multi-level shape optimization, showed an improvement of 0.07% and 17.89%, respectively. In addition, the number of CAE carried out for the shape optimization was only 55 times in comparison to full factorial method necessary to 2,401 times.

Latent causal inference using the propensity score from latent class regression model (잠재범주회귀모형의 성향점수를 이용한 잠재변수의 원인적 영향력 추론 연구)

  • Lee, Misol;Chung, Hwan
    • The Korean Journal of Applied Statistics
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    • v.30 no.5
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    • pp.615-632
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    • 2017
  • Unlike randomized trial, statistical strategies for inferring the unbiased causal relationship are required in the observational studies. The matching with the propensity score is one of the most popular methods to control the confounders in order to evaluate the effect of the treatment on the outcome variable. Recently, new methods for the causal inference in latent class analysis (LCA) have been proposed to estimate the average causal effect (ACE) of the treatment on the latent discrete variable. They have focused on the application study for the real dataset to estimate the ACE in LCA. In practice, however, the true values of the ACE are not known, and it is difficult to evaluate the performance of the estimated the ACE. In this study, we propose a method to generate a synthetic data using the propensity score in the framework of LCA, where treatment and outcome variables are latent. We then propose a new method for estimating the ACE in LCA and evaluate its performance via simulation studies. Furthermore we present an empirical analysis based on data form the 'National Longitudinal Study of Adolescents Health,' where puberty as a latent treatment and substance use as a latent outcome variable.

Material Selection Optimization of A-Pillar and Package Tray Using RBFr Metamodel for Minimizing Weight (경량화를 위한 RBFr 메타모델 기반 A-필러와 패키지 트레이의 소재 선정 최적화)

  • Jin, Sungwan;Park, Dohyun;Lee, Gabseong;Kim, Chang Won;Yang, Heui Won;Kim, Dae Seung;Choi, Dong-Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.5
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    • pp.8-14
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    • 2013
  • In this study, we propose the method of optimally selecting material of front pillar (A-pillar) and package tray for minimizing weight while satisfying vehicle requirements on static stiffness and dynamic stiffness. First, we formulate a material selection optimization problem. Next, we establish the CAE procedure of evaluating static stiffness and dynamic stiffness. Then, to enhance the efficiency of design work, we integrate and automate the established CAE procedure using a commercial process integration and design optimization (PIDO) tool, PIAnO. For effective optimization, we adopt the approach of metamodel based approximate optimization. As a sampling method, an orthogonal array (OA) is used for selecting sampling points. The response values are evaluated at the sampling points and then these response values are used to generate a metamodel of each response using the radial basis function regression (RBFr). Using the RBFr models, optimization is carried out an evolutionary algorithm that can handle discrete design variables. Material optimization result reveals that the weight is reduced by 49.8% while satisfying all the design constraints.

Validation of a Robust Flutter Prediction by Optimization

  • Chung, Chan-Hoon;Shin, Sang-Joon
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.1
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    • pp.43-57
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    • 2012
  • In a modern aircraft, there are many variations in its mass, stiffness, and aerodynamic characteristics. Recently, an analytical approach was proposed, and this approach uses the idea of uncertainty to find out the most critical flight flutter boundary due to the variations in such aerodynamic characteristics. An analytical method that has been suggested to predict robust stability is the mu method. We previously analyzed the robust flutter boundary by using the mu method, and in that study, aerodynamic variations in the Mach number, atmospheric density, and flight speed were taken into consideration. The authors' previous attempt and the results are currently quoted as varying Mach number mu analysis. In the author's previous method, when the initial flight conditions were located far from the nominal flutter boundary, conservative predictions were obtained. However, relationships among those aerodynamic parameters were not applied. Thus, the varying Mach number mu analysis results required validation. Using an optimization approach, the varying Mach number mu analysis was found out to be capable of capturing a reasonable robust flutter boundary, i.e., with a low percentage difference from boundaries that were obtained by optimization. Regarding the optimization approach, a discrete nominal flutter boundary is to be obtained in advance, and based on that boundary, an interpolated function was established. Thus, the optimization approach required more computational effort for a larger number of uncertainty variables. And, this produced results similar to those from the mu method which had lower computational complexity. Thus, during the estimation of robust aeroelastic stability, the mu method was regarded as more efficient than the optimization method was. The mu method predicts reasonable results when an initial condition is located near the nominal flutter boundary, but it does not consider the relationships that are among the aerodynamic parameters, and its predictions are not very accurate when the initial condition is located far from the nominal flutter boundary. In order to provide predictions that are more accurate, the relationships among the uncertainties should also be included in the mu method.

Design of Multi-Regional Water Supply System Based on the Optimization Technique (최적화 기법을 이용한 광역상수도 관로시스템 설계)

  • Kim, Ju Hwan;Kim, Zong Woo;Park, Jae Hong
    • Journal of Korean Society of Water and Wastewater
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    • v.13 no.1
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    • pp.95-112
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    • 1999
  • In this research, it is proposed that optimization method is introduced and applied to the design of pipeline system in multi-regional water supply project, which has been constructed to settle the regional unbalance problems of available water resources. For the purpose, interface programs are developed to integrate linear programming model and KYPIPE model which is used for optimization and hydraulic analysis, respectively. The developed program is applied to the pipeline system design of multi-regional water supply project. The optimal diameters from the application of linear programming technique are compared with those from conventional method that is time-consuming and tedious trail and error process. Since the conventional design largely depends upon the experience of designers and the results of general hydraulic analysis, it can not be reasonable and consistent. The application of linear programming technique can make it possible to design pipeline system optimally by using same design factors of general hydraulic models. The model can select commercial discrete pipe diameter as optimal size by using pipe length as decision variables. The developed model is applied to Pohang multi-regional water supply system design with two different objective functions, which are initial construction cost and annual cost including electric cost. As results, it is calculated that the initial construction cost of 1,449,740 thousand won is saved and annual cost of 128,951 thousand won is saved for a year within study year. Also, the optimal site of pump station is selected on 5th pipe, which is located between the diverging junction to Kangdong(2) province and the diverging junction to Cheonbuk province. It is explained that pump cost is less than pipe cost in this application case study due to little pump station scale. In the case of water supply with large pump capacity, it is reasonal that the increase of pipe size is more efficient instead the increase of pump station capacity to save annual cost.

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