• Title/Summary/Keyword: discrete variables

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A Study on the Criteria to Decide the Number of Aircrafts Considering Operational Characteristics (항공기 운용 특성을 고려한 적정 운용 대수 산정 기준 연구)

  • Son, Young-Su;Kim, Seong-Woo;Yoon, Bong-Kyoo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.17 no.1
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    • pp.41-49
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    • 2014
  • In this paper, we consider a method to access the number of aircraft requirement which is a strategic variable in national security. This problem becomes more important considering the F-X and KF-X project in ROKAF. Traditionally, ATO(Air Tasking Order) and fighting power index have been used to evaluate the number of aircrafts required in ROKAF. However, those methods considers static aspect of aircraft requirement. This paper deals with a model to accommodate dynamic feature of aircraft requirement using absorbing Markov chain. In conclusion, we suggest a dynamic model to evaluate the number of aircrafts required with key decision variables such as destroying rate, failure rate and repair rate.

An Optimal Design of the Rotor of BLDC Motors for Noise Reduction (BLDC 모터의 소음 저감을 위한 로터부 구조 최적설계)

  • Kim, Ji-Hoon;Ko, Kang-Ho;Kim, Min-Soo;Heo, Seoung-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.972-975
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    • 2004
  • In order to reduce the noise of BLDC motor, a systematic optimization procedure for rotor structure is presented. The noise index is defined as the sum of volume velocity of FE-model that are calculated at the dominant frequencies during dehydration process, which is based on the principle of radiation simple volume source. Then, the five design variables are selected to represent the shape and layout or rotor structure. This discrete design optimization problem for minimizing the noise index is solved by 3-level orthogonal array based effect analysis. Finally, the response surface method (RSM) combined optimization approach is employed for more refining the approximate optimum.

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2 Dimensional Nonlinear Finite Element Analysis for Layered Elastomeric Bearings (비선형 유한요소법에 의한 탄성받침의 이차원 해석)

  • Park, Moon-Ho;Kim, Jin-Kyu;Lee, Seong-Joon
    • Journal of the Korean Society of Industry Convergence
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    • v.3 no.4
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    • pp.329-336
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    • 2000
  • A geometric and material nonlinear finite element analysis is developed for the layered elastomeric bearings. In this study, a mixed variational approach with separate variables is used to describe the displacement and volume change of rubber. To represent finely deformed behavior, Kirchoff stress tensors are used and converted Eulerian stress tensors to describe real physical meanings. Newton's method is utilized to solve the governing nonlinear finite element equations. Numerical test are performed in the case of compression and shear to verify the theory and to illustrate the application of this analysis. And the results of this study were compared to the results of Moore's discrete finite element analysis.

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Optimal Production Design Using Genetic Algorithms (유전알고리즘을 이용한 최적생산설계)

  • 류영근
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.49
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    • pp.115-123
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    • 1999
  • An optimization problem is to select the best of many possible design alternatives in a complex design space. Genetic algorithms, one of the numerous techniques to search optimal solution, have been successfully applied to various problems (for example, parameter tuning in expert systems, structural systems with a mix of continuous, integer and discrete design variables) that could not have been readily solved with more conventional computational technique. But, conventional genetic algorithms are ill defined for two classes of problems, ie., penalty function and fitness scaling. Therefore, this paper develops Improved genetic algorithms(IGA) to solve these problems. As a case study, numerical examples are demonstrated to show the effectiveness of the Improved genetic algorithms.

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An information-theoretical analysis of gene nucleotide sequence structuredness for a selection of aging and cancer-related genes

  • Blokh, David;Gitarts, Joseph;Stambler, Ilia
    • Genomics & Informatics
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    • v.18 no.4
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    • pp.41.1-41.8
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    • 2020
  • We provide an algorithm for the construction and analysis of autocorrelation (information) functions of gene nucleotide sequences. As a measure of correlation between discrete random variables, we use normalized mutual information. The information functions are indicative of the degree of structuredness of gene sequences. We construct the information functions for selected gene sequences. We find a significant difference between information functions of genes of different types. We hypothesize that the features of information functions of gene nucleotide sequences are related to phenotypes of these genes.

Truss Size Optimization with Frequency Constraints using ACO Algorithm (개미군락 최적화 알고리즘을 이용한 진동수 구속조건을 가진 트러스구조물의 크기최적화)

  • Lee, Sang-Jin;Bae, Jungeun
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.10
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    • pp.135-142
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    • 2019
  • Ant colony optimization(ACO) technique is utilized in truss size optimization with frequency constraints. Total weight of truss to be minimized is considered as the objective function and multiple natural frequencies are adopted as constraints. The modified traveling salesman problem(TSP) is adopted and total length of the TSP tour is interpreted as the weight of the structure. The present ACO-based design optimization procedure uses discrete design variables and the penalty function is introduced to enforce design constraints during optimization process. Three numerical examples are carried out to verify the capability of ACO in truss optimization with frequency constraints. From numerical results, the present ACO is a very effective way of finding optimum design of truss structures in free vibration. Finally, we provide the present numerical results as future reference solutions.

A Study on the Optimization of Steel Structures Considering Displacement Constraints (변위제약조건을 고려한 강구조물의 최적화에 관한 연구)

  • Kim, Ho Soo;Lee, Han Joo
    • Journal of Korean Society of Steel Construction
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    • v.10 no.4 s.37
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    • pp.657-666
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    • 1998
  • This study presents an effective dual algorithm for the optimal design of steel structures with displacement constraints. The dual method can replace a primary optimization problem with a sequence of approximate explicit subproblems with a simple algebraic structure. Since being convex and separable, each subproblem can be solved efficiently by the dual method. Specifically, this study uses the principle of virtual work to obtain the displacement constraint equations with an explicit form and adds the linear regression equation expressing the relationships between the cross-section properties to the dual algorithm to reduce the number of design variables. Furthermore, this study deals with the discrete optimization problem to select members with the standard steel sections. Through numerical analyses, the proposed method will be compared with the conventional optimality criteria method.

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THE ATTITUDE STABILITY ANALYSIS OF A RIGID BODY WITH MULTI-ELASTIC APPENDAGES AND MULTI-LIQUID-FILLED CAVITIES USING THE CHETAEV METHOD

  • Kuang, Jin-Lu;Kim, Byung-Jin;Lee, Hyun-Woo;Sung, Dan-Keun
    • Journal of Astronomy and Space Sciences
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    • v.15 no.1
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    • pp.209-220
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    • 1998
  • The stability problem of steady motion of a rigid body with multi-elastic appendages and multi-liquid-filled cavities, in the presence of no external forces or torque, is considered in this paper. The flexible appendages are modeled as the clamped -free-free-free rectangular plates, or/and as the discrete mass- spring sub-system. The motion of liquid in every single ellipsoidal cavity is modeled as the uniform vortex motion with a finite number of degrees of freedom. Assuming that stationary holonomic constraints imposed on the body allow its rotation about a spatially fixed axis, the equation of motion for such a systematic configuration can be very complex. It consists of a set of ordinary differential equations for the motion of the rigid body, the uniform rotation of the contained liquids, the motion of discrete elastic parts, and a set of partial differential equations for the elastic appendages supplemented by appropriate initial and boundary conditions. In addition, for such a hybrid system, under suitable assumptions, their equations of motion have four types of first integrals, i.e., energy and area, Helmholtz' constancy of liquid - vortexes, and the constant of the Poisson equation of motion. Chetaev's effective method for constructing Liapunov functions in the form of a set of first integrals of the equations of the perturbed motion is employed to investigate the sufficient stability conditions of steady motions of the complete system in the sense of Liapunov, i.e., with respect to the variables determining the motion of the solid body and to some quantities which define integrally the motion of flexible appendages. These sufficient conditions take into account the vortexes of the contained liquids, the vibration of the flexible components, and coupling among the liquid-elasticity solid.

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Robustness Analysis of Predictor Feedback Controller for Discrete-Time Linear Systems with Input Delays (입력지연을 갖는 이산시간 선형시스템을 위한 예측기 피드백 제어기의 강인성 해석)

  • Choi, Joon-Young
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1265-1272
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    • 2019
  • We analyze the robustness of the existing predictor feedback controller for discrete-time linear systems with constant input delays against the structured model uncertainty. By modeling the constant input delay with a first-order PdE (Partial difference Equation), we replace the input delay with the PdE states. By applying a backstepping transformation, we build a target system that enables to construct an explicit Lyapunov function. Constructing the explicit Lyapunov function that covers the entire state variables, we prove the existence of an allowable maximum size of the structured model uncertainty to maintain stability and establish the robustness of the predictor feedback controller. The numerical example demonstrates that the stability of closed-loop system is maintained in the presence of the structured model uncertainty, and verifies the robustness of the predictor feedback controller.

Estimating Effects of Attributes on Choice of Pizza Restaurants by Purchase Frequency (구매빈도별 피자전문점 선택에 미치는 속성의 영향 평가)

  • Kang, Jong-Heon;Jeong, In-Suk
    • Korean Journal of Human Ecology
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    • v.15 no.3
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    • pp.491-499
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    • 2006
  • The purpose of this study is to measure the pizza purchasing behavioral characteristics of respondents and importances of factors affecting pizza purchase, to estimate the effects of attributes on choice of pizza restaurant, and to predict probability of selecting a particular pizza restaurant. The questionnaire consisted of two parts: The paired experimental profiles, purchasing behavior and importances of factors affecting pizza purchase. This study generated profiles of 16 hypothetical pizza restaurants based on seven attributes. The profiles comprised 16 discrete sets of variables, each of which had two levels. For this study, researcher randomly selected 150 university students as respondents. Twenty one students did not complete the survey instrument, resulting in a final sample size of 129. All estimations were carried out using frequencies, $X^2$, independent samples t-test, phreg procedure of SAS package. The results were as followed: Some purchasing behavioral characteristics and importances of factors affecting pizza purchase were significantly different by purchase frequency. Based on the estimated models developed for the two purchase frequency groups, the Chi-square statistics were significant at p<0.001. The parameter estimate for late delivery time with frequently purchase frequency group was highest, and the parameter estimate for price with frequently purchase frequency group was highest. The pizza restaurants that charged 20,000 won, offered 100% discount on eleventh pizza, promised to deliver pizza in 20 min, usually delivered the pizza as promised, offered 2 or more types of pizza crust, delivered steaming hot pizza, and did not offer a money-back guarantee which was favored by each of the two purchase frequency groups. The results from this study suggested that there was an opportunity to increase market share and profit by improving operations so that customers can receive discount and money-back guarantee simultaneously, and by reducing price, delivery time.

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