• Title/Summary/Keyword: 제약조건식

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Study of Multi Floor Plant Layout Optimization Based on Particle Swarm Optimization (PSO 최적화 기법을 이용한 다층 구조의 플랜트 배치에 관한 연구)

  • Park, Pyung Jae;Lee, Chang Jun
    • Korean Chemical Engineering Research
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    • v.52 no.4
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    • pp.475-480
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    • 2014
  • In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines for connecting equipment. However, what is the lacking of considerations in previous researches is to handle the multi floor processes considering the safety distances for domino impacts on a complex plant. The mathematical programming formulation can be transformed into MILP (Mixed Integer Linear Programming) problems as considering safety distances, maintenance spaces, and economic benefits for solving the multi-floor plant layout problem. The objective function of this problem is to minimize piping costs connecting facilities in the process. However, it is really hard to solve this problem due to complex unequality or equality constraints such as sufficient spaces for the maintenance and passages, meaning that there are many conditional statements in the objective function. Thus, it is impossible to solve this problem with conventional optimization solvers using the derivatives of objective function. In this study, the PSO (Particle Swarm Optimization) technique, which is one of the representative sampling approaches, is employed to find the optimal solution considering various constraints. The EO (Ethylene Oxide) plant is illustrated to verify the efficacy of the proposed method.

Directional Variation of Apparent Elastic Constants and Associated Constraints on Elastic Constants in Transversely Isotropic Rocks (횡등방성 암석에서 겉보기 탄성정수의 방향성 변화와 탄성정수 제약조건)

  • Youn-Kyou Lee
    • Tunnel and Underground Space
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    • v.33 no.3
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    • pp.150-168
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    • 2023
  • The anisotropic behavior of rocks is primarily attributed to the directional arrangement of rock-forming minerals and the distribution characteristics of microcracks. Notably, sedimentary and metamorphic rocks often exhibit distinct transverse isotropy in terms of their strength and deformation characteristics. Consequently, it is crucial to gain accurate insights into the deformation and failure characteristics of transversely isotropic rocks during rock mechanics design processes. The deformation of such rocks is described by five independent elastic constants, which are determined through laboratory testing. In this study, the characteristics of the directional variation of apparent elastic constants in transversely isotropic rocks were investigated using experimental data reported in the literature. To achieve this, the constitutive equation proposed by Mehrabadi & Cowin was introduced to calculate the apparent elastic constants more efficiently and systematically in a rotated Cartesian coordinate system. Four transversely isotropic rock types from the literature were selected, and the influence of changes in the orientation of the weak plane on the variations of the apparent elastic modulus, apparent shear modulus, and apparent Poisson's ratio was analyzed. Based on the investigation, a new constraint on the elastic constants has been proposed. If the proposed constraint is satisfied, the directional variation of the apparent elastic constants in transversely isotropic rocks aligns with intuitive predictions of their tendencies.

Simplified Formulae for Free Earth Supported Anchored Sheet-Pile Wall (앵커식 자유지지 널말뚝벽의 설계용 간편식)

  • Kim, Khi-Woong;Kwon, Min-Seok;Paik, Young-Shik
    • Journal of the Korean GEO-environmental Society
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    • v.3 no.3
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    • pp.37-44
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    • 2002
  • Sheet piles are often used to build continuous walls for the waterfront structures, and also used for some temporary structures, such as the braced cuts. Sheet pile walls may be divided into two basic categories that is cantilever and anchored. Stock(1992) developed an expedient format for determining the depth, maximum bending moment and anchor force of sheet pile wall for cantilever and free earth supported anchored wall. But, that is useful only in case that water table exists above the dredge line. In this study, a simplified formulae was developed for the design of the anchored free earth supported sheet pile wall both in sand and clay by solving the derived equations and regression analysis. It can be used whether the ground water table is above or under the dredge line.

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Nonlinear Elastic Optimal Design Using Genetic Algorithm (유전자 알고리즘을 이용한 비선형 탄성 최적설계)

  • Kim, Seung Eock;Ma, Sang Soo
    • Journal of Korean Society of Steel Construction
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    • v.15 no.2
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    • pp.197-206
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    • 2003
  • The optimal design method in cooperation with a nonlinear elastic analysis method was presented. The proposed nonlinear elastic method overcame the drawback of the conventional LRFD method this approximately accounts for the nonlinear effect caused by using the moment amplification factors of and. The genetic algorithm uses a procedure based on the Darwinian notions of the survival of the fittest, where selection, crossover, and mutation operators are used to look for high performance among the sections of the database. They satisfy constraint functions and give the lightest weight to the structure. The objective function was set to the total weight of the steel structure. The constraint functions were load-carrying capacities, serviceability, and ductility requirement. Case studies for a two-dimensional frame, a three-dimensional frame, and a three-dimensional steel arch bridge were likewise presented.

Integer Programming-based Local Search Technique for Linear Constraint Satisfaction Optimization Problem (선형 제약 만족 최적화 문제를 위한 정수계획법 기반 지역 탐색 기법)

  • Hwang, Jun-Ha;Kim, Sung-Young
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.9
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    • pp.47-55
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    • 2010
  • Linear constraint satisfaction optimization problem is a kind of combinatorial optimization problem involving linearly expressed objective function and complex constraints. Integer programming is known as a very effective technique for such problem but require very much time and memory until finding a suboptimal solution. In this paper, we propose a method to improve the search performance by integrating local search and integer programming. Basically, simple hill-climbing search, which is the simplest form of local search, is used to solve the given problem and integer programming is applied to generate a neighbor solution. In addition, constraint programming is used to generate an initial solution. Through the experimental results using N-Queens maximization problems, we confirmed that the proposed method can produce far better solutions than any other search methods.

An Improved Method for Selecting the Grounding Conductor Size (접속방법에 따른 접지도체 굵기 제안식)

  • Choi, Hong-Kyoo;Oh, Jeong-Seok;Kim, Chung-Won;Song, Young-Joo
    • Proceedings of the KIEE Conference
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    • 2004.11d
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    • pp.127-133
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    • 2004
  • 접지도체의 굵기를 결정하는 국외 규격은 재료의 특성값인 물리적 정수까지 적용하여 광범위하게 적용할 수 있는 반면 수식이 복잡한 문제점이 있고 JIS와 국내규격은 수식은 간단하나 제약조건이 많은 문제점이 있다. 또한, 접지도체의 접속방법에 따라 최대허용온도가 다르게 적용되므로 접지도체 굵기 산정 방식이 복잡하고 적용 방법이 상이하여 시공현장에서 엔지니어들이 적용하는데 많은 어려움이 있다. 따라서, 본 논문에서는 새로운 접지도체 굵기 산정방식을 제시하고 접속방법에 따른 접지도체 굵기 산정 간이식을 제시한다.

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Robust Mixed H2/H Filter Design for Uncertain Fuzzy Systems (불확실한 퍼지시스템의 견실한 혼합 H2/H 필터 설계)

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.557-562
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    • 2004
  • This paper deals with a robust mixed ${H_2}/{H_{\infty}}$ filter design problem for a nonlinear dynamic system modeled as a T-S fuzzy system. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. A sufficient condition for solvability is given in terms of linear matrix inequality problem which can be efficiently solved using a convex optimization technique. In order to demonstrate the Proposed method, a numerical design example is provided.

Option Pricing with Leptokurtic Feature (급첨 분포와 옵션 가격 결정)

  • Ki, Ho-Sam;Lee, Mi-Young;Choi, Byung-Wook
    • The Korean Journal of Financial Management
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    • v.21 no.2
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    • pp.211-233
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    • 2004
  • This purpose of paper is to propose a European option pricing formula when the rate of return follows the leptokurtic distribution instead of normal. This distribution explains well the volatility smile and furthermore the option prices calculated under the leptokurtic distribution are shown to be closer to the market prices than those of Black-Scholes model. We make an estimation of the implied volatility and kurtosis to verify the fitness of the pricing formula that we propose here.

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Development of Train Operation Plan algorithm by using regression models (회귀모형을 이용한 열차운행계획 수립에 관한 알고리즘 개발)

  • Shin, Han-Chul;Kim, Jung-Hyun;Kim, Sang-Hoon;Lee, Se-Hoon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2011.06a
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    • pp.23-24
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    • 2011
  • 본 논문에서는 승객 수송수요 반영 단계에서는 역별 승하차인원, 시간대별 재차인원 등 수송수요에 반영할 기준을 설정하여 수송력과 승차인원의 기준을 판단하고, 열차운행계획 수립 단계에서는 운행구간, 선로용량, 선로조건 등 제약조건과 적정수송력에 맞는 운행계획을 수립하고, 마지막 단계에서 경제성, 능률성, 합리성 등을 감안한 운용효율 향상을 위한 열차 DIA를 작성하고자 한다. 또한 통계적 분석절차에 따라 재차인원과 운행횟수를 각각의 독립변수와 종속변수로 산정하여 두 변수간의 상관관계를 확인한 후 회귀분석을 통해 얻은 회귀식을 실제열차운행 횟수와 비교하여 최적의 열차운행횟수를 산정하였으며 회귀식의 유효성 검증을 통해 열차운행 환경변화에 신속하게 대응할 수 있는 유연한 시스템을 구축한 후 서울도시철도공사 실용 Dia에 적용하여 유효성을 검토하였다.

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Optimization of the Truss Structures Using Member Stress Approximate method (응력근사해법(應力近似解法)을 이용한 평면(平面)트러스구조물(構造物)의 형상최적화(形狀最適化)에 관한 연구(研究))

  • Lee, Gyu Won;You, Hee Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.73-84
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    • 1993
  • In this research, configuration design optimization of plane truss structure has been tested by using decomposition technique. In the first level, the problem of transferring the nonlinear programming problem to linear programming problem has been effectively solved and the number of the structural analysis necessary for doing the sensitivity analysis can be decreased by developing stress constraint into member stress approximation according to the design space approach which has been proved to be efficient to the sensitivity analysis. And the weight function has been adopted as cost function in order to minimize structures. For the design constraint, allowable stress, buckling stress, displacement constraint under multi-condition and upper and lower constraints of the design variable are considered. In the second level, the nodal point coordinates of the truss structure are used as coordinating variable and the objective function has been taken as the weight function. By treating the nodal point coordinates as design variable, unconstrained optimal design problems are easy to solve. The decomposition method which optimize the section areas in the first level and optimize configuration variables in the second level was applied to the plane truss structures. The numerical comparisons with results which are obtained from numerical test for several truss structures with various shapes and any design criteria show that convergence rate is very fast regardless of constraint types and configuration of truss structures. And the optimal configuration of the truss structures obtained in this study is almost the identical one from other results. The total weight couldbe decreased by 5.4% - 15.4% when optimal configuration was accomplished, though there is some difference.

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