• 제목/요약/키워드: penalty approach

검색결과 125건 처리시간 0.024초

A Finite Capacity Material Requirement Planning System for a Multi-Stage Assembly Factory: Goal Programming Approach

  • Wuttipornpun, Teeradej;Yenradee, Pisal;Beullens, Patrick;van Oudheusden, Dirk L.
    • Industrial Engineering and Management Systems
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    • 제4권1호
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    • pp.23-35
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    • 2005
  • This paper aims to develop a practical finite capacity MRP (FCMRP) system based on the needs of an automotive parts manufacturing company in Thailand. The approach includes a linear goal programming model to determine the optimal start time of each operation to minimize the sum of penalty points incurred by exceeding the goals of total earliness, total tardiness, and average flow-time considering the finite capacity of all work centers and precedence of operations. Important factors of the proposed FCMRP system are penalty weights and dispatching rules. Effects of these factors on the performance measures are statistically analyzed based on a real situation of an auto-part factory. Statistical results show that the dispatching rules and penalty weights have significant effects on the performance measures. The proposed FCMRP system offers a good tradeoff between conflicting performance measures and results in the best weighted average performance measures when compared to conventional forward and forward-backward finite capacity scheduling systems.

An energy-based vibration model for beam bridges with multiple constraints

  • Huang, Shiping;Zhang, Huijian;Chen, Piaohua;Zhu, Yazhi;Zuazua, Enrique
    • Structural Engineering and Mechanics
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    • 제82권1호
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    • pp.41-53
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    • 2022
  • We developed an accurate and simple vibration model to calculate the natural frequencies and their corresponding vibration modes for multi-span beam bridges with non-uniform cross-sections. A closed set of characteristic functions of a single-span beam was used to construct the vibration modes of the multi-span bridges, which were considered single-span beams with multiple constraints. To simplify the boundary conditions, the restraints were converted into spring constraints. Then the functional of the total energy has the same form as the penalty method. Compared to the conventional penalty method, the penalty coefficients in the proposed approach can be calculated directly, which can avoid the iteration process and convergence problem. The natural frequencies and corresponding vibration modes were obtained via the minimum total potential energy principle. By using the symmetry of the eigenfunctions or structure, the matrix size can be further reduced, which increases the computational efficiency of the proposed model. The accuracy and efficiency of the proposed approach were validated by the finite element method.

Semi-supervised learning using similarity and dissimilarity

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제22권1호
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    • pp.99-105
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    • 2011
  • We propose a semi-supervised learning algorithm based on a form of regularization that incorporates similarity and dissimilarity penalty terms. Our approach uses a graph-based encoding of similarity and dissimilarity. We also present a model-selection method which employs cross-validation techniques to choose hyperparameters which affect the performance of the proposed method. Simulations using two types of dat sets demonstrate that the proposed method is promising.

선형행렬부등식을 이용한 정적출력궤환 제어기 설계 (Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem)

  • 김석주;권순만;김춘경;문영현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권11호
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.

계수조건부 LMI를 이용한 동시안정화 LQ 최적제어기 설계 (Rank-constrained LMI Approach to Simultaneous Linear Quadratic Optimal Control Design)

  • 김석주;천종민;김종문;김춘경;이종무;권순만
    • 제어로봇시스템학회논문지
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    • 제13권11호
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    • pp.1048-1052
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    • 2007
  • This paper presents a rank-constrained linear matrix inequality(LMI) approach to simultaneous linear-quadratic(LQ) optimal control by static output feedback. Simultaneous LQ optimal control is formulated as an LMI optimization problem with a nonconvex rank condition. An iterative penalty method recently developed is applied to solve this rank-constrained LMI optimization problem. Numerical experiments are performed to illustrate the proposed method, and the results are compared with those of previous work.

Free vibration analysis of uniform and stepped functionally graded circular cylindrical shells

  • Li, Haichao;Pang, Fuzhen;Du, Yuan;Gao, Cong
    • Steel and Composite Structures
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    • 제33권2호
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    • pp.163-180
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    • 2019
  • A semi analytical method is employed to analyze free vibration characteristics of uniform and stepped functionally graded circular cylindrical shells under complex boundary conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement functions are handled by unified Jacobi polynomials and Fourier series. In order to obtain continuous conditions and satisfy complex boundary conditions, the penalty method about spring technique is adopted. The solutions about free vibration behavior of functionally graded circular cylindrical shells were obtained by approach of Rayleigh-Ritz. To confirm the dependability and validity of present approach, numerical verifications and convergence studies are conducted on functionally graded cylindrical shells under various influencing factors such as boundaries, spring parameters et al. The present method apparently has rapid convergence ability and excellent stability, and the results of the paper are closely agreed with those obtained by FEM and published literatures.

Real-coded Micro-Genetic Algorithm for Nonlinear Constrained Engineering Designs

  • Kim Yunyoung;Kim Byeong-Il;Shin Sung-Chul
    • Journal of Ship and Ocean Technology
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    • 제9권4호
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    • pp.35-46
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    • 2005
  • The performance of optimisation methods, based on penalty functions, is highly problem- dependent and many methods require additional tuning of some variables. This additional tuning is the influences of penalty coefficient, which depend strongly on the degree of constraint violation. Moreover, Binary-coded Genetic Algorithm (BGA) meets certain difficulties when dealing with continuous and/or discrete search spaces with large dimensions. With the above reasons, Real-coded Micro-Genetic Algorithm (R$\mu$GA) is proposed to find the global optimum of continuous and/or discrete nonlinear constrained engineering problems without handling any of penalty functions. R$\mu$GA can help in avoiding the premature convergence and search for global solution-spaces, because of its wide spread applicability, global perspective and inherent parallelism. The proposed R$\mu$GA approach has been demonstrated by solving three different engineering design problems. From the simulation results, it has been concluded that R$\mu$GA is an effective global optimisation tool for solving continuous and/or discrete nonlinear constrained real­world optimisation problems.

Super-Resolution Reconstruction of Humidity Fields based on Wasserstein Generative Adversarial Network with Gradient Penalty

  • Tao Li;Liang Wang;Lina Wang;Rui Han
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제18권5호
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    • pp.1141-1162
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    • 2024
  • Humidity is an important parameter in meteorology and is closely related to weather, human health, and the environment. Due to the limitations of the number of observation stations and other factors, humidity data are often not as good as expected, so high-resolution humidity fields are of great interest and have been the object of desire in the research field and industry. This study presents a novel super-resolution algorithm for humidity fields based on the Wasserstein generative adversarial network(WGAN) framework, with the objective of enhancing the resolution of low-resolution humidity field information. WGAN is a more stable generative adversarial networks(GANs) with Wasserstein metric, and to make the training more stable and simple, the gradient cropping is replaced with gradient penalty, and the network feature representation is improved by sub-pixel convolution, residual block combined with convolutional block attention module(CBAM) and other techniques. We evaluate the proposed algorithm using ERA5 relative humidity data with an hourly resolution of 0.25°×0.25°. Experimental results demonstrate that our approach outperforms not only conventional interpolation techniques, but also the super-resolution generative adversarial network(SRGAN) algorithm.

An approach to minimize reactivity penalty of Gd2O3 burnable absorber at the early stage of fuel burnup in Pressurized Water Reactor

  • Nabila, Umme Mahbuba;Sahadath, Md. Hossain;Hossain, Md. Towhid;Reza, Farshid
    • Nuclear Engineering and Technology
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    • 제54권9호
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    • pp.3516-3525
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    • 2022
  • The high capture cross-section (𝜎c) of Gadolinium (Gd-155 and Gd-157) causes reactivity penalty and swing at the initial stage of fuel burnup in Pressurized Water Reactor (PWR). The present study is concerned with the feasibility of the combination of mixed burnable poison with both low and high 𝜎c as an approach to minimize these effects. Two considered reference designs are fuel assemblies with 24 IBA rods of Gd2O3 and Er2O3 respectively. Models comprise nuclear fuel with a homogeneous mixture of Er2O3, AmO2, SmO2, and HfO2 with Gd2O3 as well as the coating of PaO2 and ZrB2 on the Gd2O3 pellet's outer surface. The infinite multiplication factor was determined and reactivity was calculated considering 3% neutron leakage rate. All models except Er2O3 and SmO2 showed expected results namely higher values of these parameters than the reference design of Gd2O3 at the early burnup period. The highest value was found for the model of PaO2 and Gd2O3 followed by ZrB2 and HfO2. The cycle burnup, discharge burnup, and cycle length for three batch refueling were calculated using Linear Reactivity Model (LRM). The pin power distribution, energy-dependent neutron flux and Fuel Temperature Coefficient (FTC) were also studied. An optimization of model 1 was carried out to investigate effects of different isotopic compositions of Gd2O3 and absorber coating thickness.

변위제한조건식과 안정화된 Penalty방법에 의한 차량 주행에 따른 구조물의 동적상호작용 해석기법 (Simulation of Vehicle-Structure Dynamic Interaction by Displacement Constraint Equations and Stabilized Penalty Method)

  • 정근영;이성욱;민경주
    • 대한토목학회논문집
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    • 제26권4D호
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    • pp.671-678
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    • 2006
  • 본 연구에서는 2개의 질량을 갖는 1/4 차량모델을 이용하여 차량-궤도-교량간의 동적상호작용 현상을 표현하기 위해 비선형 헤르츠 접촉스프링(Nonlinear Hertzian Contact Spring)과 비선형 접촉감쇠장치(Nonlinear Contact Damper)를 도입하였다. 또한, 차량에 작용하는 하중은 차량의 중량외에 임의시간단계의 차륜재하위치인 레일답면(즉, 주행로상의 접촉면)에서의 변위가 제한조건식(Constraint Equation)으로 가해졌다. 이 변위제한조건식은 Penalty방법(Penalty Method)에 의해 구현되었으며, 해의 안정화(Stabilization)를 위한 기법과 제한조건오차보정반력(Reaction from Constraint Violation)을 도입하였다. 또한, 차량의 피칭운동을 표현하고, 다양한 차량/열차를 모형화하기 위해서 1/4 차량모델의 차체 및 대차프레임 간을 강체연결 및 핀이 있는 강체연결조건으로 모형화하였다. 시간적분방법으로는 Newmark계열의 시간적분법이 사용되었으며, 해의 정확성 확보를 위해 국지적 오차평가에 근거한 적응적시간간격기법(Adaptive Time-Stepping Scheme)을 도입하였다. 이러한 적응적시간간격기법을 도입하여 동적해석에서 시간간격의 크기를 자동적으로 결정함으로써 동적해석에서의 해의 정확성을 확보하고 시간적분에 소요되는 계산비용을 감소시킬 수 있을 것으로 기대된다.