• Title/Summary/Keyword: Optimal sizes

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An efficient genetic algorithm for the design optimization of cold-formed steel portal frame buildings

  • Phan, D.T.;Lim, J.B.P.;Tanyimboh, T.T.;Sha, W.
    • Steel and Composite Structures
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    • v.15 no.5
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    • pp.519-538
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    • 2013
  • The design optimization of a cold-formed steel portal frame building is considered in this paper. The proposed genetic algorithm (GA) optimizer considers both topology (i.e., frame spacing and pitch) and cross-sectional sizes of the main structural members as the decision variables. Previous GAs in the literature were characterized by poor convergence, including slow progress, that usually results in excessive computation times and/or frequent failure to achieve an optimal or near-optimal solution. This is the main issue addressed in this paper. In an effort to improve the performance of the conventional GA, a niching strategy is presented that is shown to be an effective means of enhancing the dissimilarity of the solutions in each generation of the GA. Thus, population diversity is maintained and premature convergence is reduced significantly. Through benchmark examples, it is shown that the efficient GA proposed generates optimal solutions more consistently. A parametric study was carried out, and the results included. They show significant variation in the optimal topology in terms of pitch and frame spacing for a range of typical column heights. They also show that the optimized design achieved large savings based on the cost of the main structural elements; the inclusion of knee braces at the eaves yield further savings in cost, that are significant.

Optimal Design of Skin and Stiffener of Stiffened Composite Shells Using Genetic Algorithms (유전자 기법을 이용한 복합재 보강구조물 외피 및 보강재의 적층각 최적설계)

  • Yoon, I.S.;Choi, H.S.;Kim, C.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.233-236
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    • 2002
  • An efficient method was developed in this study to obtain optimal stacking sequences, thicknesses, and minimum weights of stiffened laminated composite shells under combined loading conditions and stiffener layouts using genetic algorithms (GAs) and finite element analyses. Among many parameters in designing composite laminates determining a optimal stacking sequence that may be formulated as an integer programming problem is a primary concern. Of many optimization algorithms, GAs are powerful methodology for the problem with discrete variables. In this paper the optimal stacking sequence was determined, which gives the maximum critical buckling load factor and the minimum weight as well. To solve this problem, both the finite element analysis by ABAQUS and the GA-based optimization procedure have been implemented together with an interface code. Throughout many parametric studies using this analysis tool, the influences of stiffener sizes and three different types of stiffener layouts on the stacking sequence changes were throughly investigated subjected to various combined loading conditions.

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Optimal Design of a Piezoelectric Smart Structure for Cabin Noise Control (실내 소음제어를 위한 압전지능구조물의 최적 설계)

  • 고범진;이중근;김재환;최승복;정재천
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.428-434
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    • 1998
  • Optimal design of a piezoelectric smart structure is studied for cabin noise control. A cubic shaped acoustic cavity with a flat plate which covers one side is taken as the problem. The sensor signal is returned to the actuator through a negative gain. The acoustic cavity is modeled using the modal approach which represents the pressure fields in the cavity as a sum of mode shapes of the cavity with unknown coefficients. By using orthogonality of the mode shapes of the cavity, finite element equation for the structure with the influence of the acoustic cavity is derived. The objective function is the average pressure at a certain region, so-called silent zone, in the cavity and the design variables are the locations and sizes of the piezoelectirc actuator and sensor. The optimal design is performed at several frequencies and the results show a remarkable noise reduction. To see the robustness of the optimally designed result, the configuration is used to examine the noise reduction at different frequencies. By adjusting the gain at each frequencies, it is possible to reduce the noise in comparison with the result when the actuator is not activated.

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On the Characteristics of MSE-Optimal Symmetric Scalar Quantizers for the Generalized Gamma, Bucklew-Gallagher, and Hui-Neuhoff Sources

  • Rhee, Jagan;Na, Sangsin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.7
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    • pp.1217-1233
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    • 2015
  • The paper studies characteristics of the minimum mean-square error symmetric scalar quantizers for the generalized gamma, Bucklew-Gallagher and Hui-Neuhoff probability density functions. Toward this goal, asymptotic formulas for the inner- and outermost thresholds, and distortion are derived herein for nonuniform quantizers for the Bucklew-Gallagher and Hui-Neuhoff densities, parallelling the previous studies for the generalized gamma density, and optimal uniform and nonuniform quantizers are designed numerically and their characteristics tabulated for integer rates up to 20 and 16 bits, respectively, except for the Hui-Neuhoff density. The assessed asymptotic formulas are found consistently more accurate as the rate increases, essentially making their asymptotic convergence to true values numerically acceptable at the studied bit range, except for the Hui-Neuhoff density, in which case they are still consistent and suggestive of convergence. Also investigated is the uniqueness problem of the differentiation method for finding optimal step sizes of uniform quantizers: it is observed that, for the commonly studied densities, the distortion has a unique local minimizer, hence showing that the differentiation method yields the optimal step size, but also observed that it leads to multiple solutions to numerous generalized gamma densities.

Complexity of Stable Minimum Storage Merging by Symmetric Comparisons (대칭비교에 의한 Stable Minimum Storage 머징의 복잡도)

  • Kim, Bok-Seon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.53-56
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    • 2007
  • Symmerge is a stable minimum storage algorithm for merging that needs $O(mlog\frac{n}{m})$ element comparisons, where m and n are the sizes of the input sequences with m ${\leqq}$ n. According to the lower bound for merging, the algorithm is asymptotically optimal regarding the number of comparisons. The objective of this paper is to consider the relationship between m and n for the spanning case with the recursion level m-1.

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Studies on the Extraction Efficiency of Polyacetylene from Korean Ginseng (추출방법에 따른 인삼의 Polyacetylene 성분 회수율 비교 연구)

  • 박찬엘;박창호
    • KSBB Journal
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    • v.16 no.3
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    • pp.264-268
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    • 2001
  • The extraction efficiencies of panaxynol and panaxydol were optimal at 80$^{\circ}C$ with soxhlet method. The extraction efficiencies increased up to 45$^{\circ}C$ with shaking method. Amounts of panaxynol and panaxydol were determined by gas chromatography. Extracted quantities of panaxynol and panaxydol using the shaking method increased over a period of 14 hours. The efficiencies of panaxynol and panaxydol extraction by soxhlet and shaking methods were higher for smaller particle sizes. Upon water swelling treatment, extraction efficiencies of panaxynol and panaxydol decreased gradually with time for both methods.

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Application of the Categorical Data Model for Enhanching the Reliability of the Raters' Ratings and Score Adjustment of the Essay Type Test (논문형 고사 평가에서 평가치 조정과 평가원의 신뢰도 향상에 유효한 CDM 모형의 응용)

  • 홍석강
    • The Mathematical Education
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    • v.38 no.2
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    • pp.165-172
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    • 1999
  • $\sub$e/$\^$2/, that were results from those three sources of such imperfection. Especially to eliminate the differences in severity among many raters the randomization procedure of raters sample was very effective in enhancing the reliability of ratings with comparatively small groups of examinees and raters. And we also introduced the new rating methods, i.e. the 2-step diagnostic procedures to check the sizes of the reliability stability of raters and the sore adjustment method to enumerate the optimal mean values in rating the examinees.

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A Mathematical Programming Model for the Freight Terminal Location Problem (복합화물 터미널 립지선정을 위한 수학적 계획모형의 정립과 적용)

  • 이금숙;강승필
    • Journal of Korean Society of Transportation
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    • v.8 no.1
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    • pp.41-54
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    • 1990
  • The rapid increase in the freight movement in Korea demands the improvement of the freight transportation system both in quantity and in quality. In recent studies integrated freight terminals have been suggested as the most relevant physical facility that solves this problem. This paper is aiming at the efficiency of the freight transportation system in Korea via integrated freight terminals. We develop a mixed integer programming model to determine simultaneously the most efficient freight flow patterns as well as the optimal locations and sizes of the integrated freight terminal facilities. The results of the model implication is also presented.

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A Stochastic LP Model a Multi-stage Production System with Random Yields (수율을 고려한 다단계 생산라인의 Stochastic LP 모형)

  • 최인찬;박광태
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.1
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    • pp.51-58
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    • 1997
  • In this paper, we propose a stochastic LP model for determining an optimal input quantity in a single-product multi-stage production system with random yields. Due to the random yields in our model, each stage of the production system can result in defective items, which can be re-processed or scrapped at certain costs. We assume that the random yield at each stage follows an independent discrete empirical distribution. Compared to dynamic programming models that prevail in the literature, our model can easily handle problems of larger sizes.

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Optimal design of waveguide lenses with small spot sizes for Optical pick-up head (도파로 렌즈를 이용한 광픽업 헤드의 광집속 크기 최적화 설계)

  • 김기욱;최철현;김철준;오범환;이승걸;박세근;이일항;김태엽;이재광
    • Proceedings of the Optical Society of Korea Conference
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    • 2003.02a
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    • pp.296-297
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    • 2003
  • 사회의 정보화가 급속하게 진전됨에 따라 취급해야 할 데이터 양이 증가되면서 정보 저장장치의 고속화, 소형화, 및 대용량화의 필요성이 대두되고 있다. 많은 양의 데이터를 저장하기 위해서는 저장장치의 물리적 디스크 공간이 높은 기록밀도를 가져야 한다. 이를 위한 방법으로 하드디스크 기술과 광자기 디스크 장치(magneto-optical disk drive) 기술을 결합하는 근접장 복합 기록 방법(Near field hybrid recording method)들이 보고 되었다. (중략)

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