• 제목/요약/키워드: Optimality condition

검색결과 78건 처리시간 0.03초

보강된 적층평판의 최적화 설계 (Design Optimization of Blade Stiffened Laminated Composite Plates)

  • 신영석
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.65-74
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    • 1993
  • 중립축에 대하여 대칭인 보강된 적층평판의 좌굴하중을 극대화 하는 최적설계를 시도하였다. 전체 평판의 무게가 일정한 가운데 적층평판을 이루는 각기 판의 두께와 보강재의 단면을 이루는 두께와 높이를 설계변수로 취하였다. 유한요소법을 이용하여 평판의 좌굴하중이 계산되었으며 최적설계는 IMSL program routine을 사용하였다. 최적설계시 나타나는 optimality condition이 고도의 비선형 연립방정식이 되므로 이경우 여러개의 국부 최적점이 발견되었다. 보강재와 평판의 각층에서의 보강섬유의 방향을 달리하며 각자의 효율성을 연구 조사하였으며 이중($0^{\circ}Beam/0^{\circ}/90^{\circ}$)s인 경우에 사장 우수한 설계를 할수 있는것으로 나타났다.

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칸반 시스템의 분석과 설계

  • 김성철
    • 경영과학
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    • 제9권1호
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    • pp.3-15
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    • 1992
  • In this paper, we study a manufacturing system of serial stages with general service times, in which the production of each stage and the coordination of stages are controlled by Kanban discipline. This Kanban discipline is modeled as a Discrete Event Dynamic System and a system of recursive equations is applied to study the dynamics of the system. The recursive relationship enables us to compare this Kanban discipline with the other blocking disciplines such as transfer blocking, service blocking, block-and-hold b, and block-and-hold K, and the Kanban is shown to be superior to the other disciplines in terms of makespan and throughput. As a special case, two stages Kanban system is modeled as $C_2/C_2/1/N$ queueing system, and a recursive algorithm is developed to calculate the system performance. In optimizing the system performance, the stochastic optimization approach of Robbins-Monro is employed via perturbation analysis, the way to estimate the stochastic partial derivative based on only one sample trajectory of the system, and the required commuting condition is verified. Then the stochastic convexity result is established to provide second-order optimality condition for this parametric optimization problem.

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Kinematics of the Nonsteady Axi-symmetric Ideal Plastic Flow Process

  • Alexandrov, S.;Lee, W.;Chung, K.
    • Fibers and Polymers
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    • 제5권3호
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    • pp.209-212
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    • 2004
  • A nonsteady axi-symmetric ideal flow solution is obtained here. It is based on the rigid perfect-plastic constitutive law with the Tresca yield condition and its associated flow rule. The process is to deform a circular solid disk into a spherical shell of prescribed geometry. It is assumed that there are no rigid zones and friction stresses. The solution obtained provides the distribution of kinematic variables and involves one undetermined function of the time. This function can be in general found by superimposing an optimality criterion.

Optimum failure-censored step-stress partially accelerated life test for the truncated logistic life distribution

  • Srivastava, P.W.;Mittal, N.
    • International Journal of Reliability and Applications
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    • 제13권1호
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    • pp.19-35
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    • 2012
  • This paper presents an optimum design of step-stress partially accelerated life test (PALT) plan which allows the test condition to be changed from use to accelerated condition on the occurrence of fixed number of failures. Various life distribution models such as exponential, Weibull, log-logistic, Burr type-Xii, etc have been used in the literature to analyze the PALT data. The need of different life distribution models is necessitated as in the presence of a limited source of data as typically occurs with modern devices having high reliability, the use of correct life distribution model helps in preventing the choice of unnecessary and expensive planned replacements. Truncated distributions arise when sample selection is not possible in some sub-region of sample space. In this paper it is assumed that the lifetimes of the items follow Truncated Logistic distribution truncated at point zero since time to failure of an item cannot be negative. Optimum step-stress PALT plan that finds the optimal proportion of units failed at normal use condition is determined by using the D-optimality criterion. The method developed has been explained using a numerical example. Sensitivity analysis and comparative study have also been carried out.

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Joint Mode Selection and Resource Allocation for Mobile Relay-Aided Device-to-Device Communication

  • Tang, Rui;Zhao, Jihong;Qu, Hua;Zhu, Zhengcang;Zhang, Yanpeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권3호
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    • pp.950-975
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    • 2016
  • Device-to-Device (D2D) communication underlaying cellular networks is a promising add-on component for future radio communication systems. It provides more access opportunities for local device pairs and enhances system throughput (ST), especially when mobile relays (MR) are further enabled to facilitate D2D links when the channel condition of their desired links is unfavorable. However, mutual interference is inevitable due to spectral reuse, and moreover, selecting a suitable transmission mode to benefit the correlated resource allocation (RA) is another difficult problem. We aim to optimize ST of the hybrid system via joint consideration of mode selection (MS) and RA, which includes admission control (AC), power control (PC), channel assignment (CA) and relay selection (RS). However, the original problem is generally NP-hard; therefore, we decompose it into two parts where a hierarchical structure exists: (i) PC is mode-dependent, but its optimality can be perfectly addressed for any given mode with additional AC design to achieve individual quality-of-service requirements. (ii) Based on that optimality, the joint design of MS, CA and RS can be viewed from the graph perspective and transferred into the maximum weighted independent set problem, which is then approximated by our greedy algorithm in polynomial-time. Thanks to the numerical results, we elucidate the efficacy of our mechanism and observe a resulting gain in MR-aided D2D communication.

등가정하중을 이용한 구조최적설계 방법을 이용한 비선형 거동구조물의 최적설계 (Non-linear Structural Optimization Using NROESL)

  • 박기종;박경진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.1256-1261
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    • 2004
  • Nonlinear Response Optimization using Equivalent Static Loads (NROESL) method/algorithm is proposed to perform optimization of non-linear response structures. It is more expensive to carry out nonlinear response optimization than linear response optimization. The conventional method spends most of the total design time on nonlinear analysis. Thus, the NROESL algorithm makes the equivalent static load cases for each response and repeatedly performs linear response optimization and uses them as multiple loading conditions. The equivalent static loads are defined as the loads in the linear analysis, which generates the same response field as those in non-linear analysis. The algorithm is validated for the convergence and the optimality. The function satisfies the descent condition at each cycle and the NROESL algorithm converges. It is mathematically validated that the solution of the algorithm satisfies the Karush-Kuhn-Tucker necessary condition of the original nonlinear response optimization problem. The NROESL algorithm is applied to two structural problems. Conventional optimization with sensitivity analysis using the finite difference method is also applied to the same examples. The results of the optimizations are compared. The proposed method is very efficient and derives good solutions.

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領域適應法을 利용한 彈性體 形狀의 最適設計 (Shape optimal design of elastic structures by the domain adaptive method)

  • 정균양
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.234-242
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    • 1987
  • 본 논문에서는 변분법으로 유도한 최적조건을 수치계산에 적용키 위해 영역적 응법이 사용되었으며 불규칙한 형상의 방지에는 격자 적응법이 제시되었다. 설계 문 제로는 '국부 응력치의 일정 한도내에서 구조물 무게의 최소화' 또는 대등한 문제로 '제한된 구조물의 무게한도내에서 최대 국부응력치의 최소화'를 다루었다.

연속시간 다개체 시스템에 대한 LQ-역최적 상태일치 프로토콜 및 군집제어 응용 (LQ Inverse Optimal Consensus Protocol for Continuous-Time Multi-Agent Systems and Its Application to Formation Control)

  • 이재영;최윤호
    • 제어로봇시스템학회논문지
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    • 제20권5호
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    • pp.526-532
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    • 2014
  • In this paper, we present and analyze a LQ (Linear Quadratic) inverse optimal state-consensus protocol for continuous-time multi-agent systems with undirected graph topology. By Lyapunov analysis of the state-consensus error dynamics, we show the sufficient conditions on the algebraic connectivity of the graph to guarantee LQ inverse optimality and closed-loop stability. A more relaxed stability condition is also provided in terms of the algebraic connectivity. Finally, a formation control protocol for multiple mobile robots is proposed based on the target LQ inverse optimal consensus protocol, and the simulation results are provided to verify the performance of the proposed LQ inverse formation control method.

콘벡스 비용함수를 갖는 점-대-다중점 최소비용 흐름문제 (Point-to-Multipoint Minimum Cost Flow Problem with Convex Cost Function)

  • 박구현;신용식
    • 한국경영과학회지
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    • 제25권4호
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    • pp.15-25
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    • 2000
  • In this paper, we introduce a point-to-multipoint minimum cost flow problem with convex and demand splitting. A source node transmits the traffic along the tree that includes members of the point-to-multipoint connection. The traffic is replicated by the nodes only at branch points of the tree. In order to minimize the sum of arc costs, we assume that the traffic demand can be splitted and transmitted to destination nodes along different trees. If arc cost is linear, the problem would be a Steiner tree problem in networks eve though demand splitting is permitted. The problem would be applied in transmitting large volume of traffic from a serve to clients in Internet environments. Optimality conditions of the problem are presented in terms of fair tree routing. The proposed algorithm is a finite terminating algorithm for $\varepsilon$-optimal solution. convergence of the algorithm is obtained under monotonic condition and strict convexity of the cost function. Computational experiences are included.

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A Lookup Table Based Loss Minimizing Control for FCEV Permanent Magnet Synchronous Motors

  • Lee, Jung-Gi;Nam, Kwang-Hee;Lee, Sun-Ho;Choi, Soe-Ho;Kwon, Soon-Woo
    • Journal of Electrical Engineering and Technology
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    • 제4권2호
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    • pp.201-210
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    • 2009
  • A loss minimizing controller is developed for a fuel cell electric vehicle (FCEV) permanent magnet synchronous motor (PMSM). The PMSM losses are modeled by some experimental equations. Applying Lagrangian to the loss function, a necessary condition for the optimality appears to be a fourth order polynomial, and the loss minimizing solutions are obtained by a simple numerical approach. On the other hand, the loss minimizing solutions are found by scanning the motor loss in the entire operating region. The two results agree well. The loss minimizing current sets for given torque and speed are made into a table, which is utilized as a look-up in the current control loop.