• Title/Summary/Keyword: probabilistic constraints

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A Study on the Probabilistic Production Costing Simulation using Fast Hartley Transform - with considering Hydro and Pumped-Storage Plants - (고속 Hartley 변환을 이용한 확률론적 발전 시뮬레이션에 관한 연구 -수력 및 양수발전기의 운전을 고려한 경우-)

  • Song, K.Y.;Choi, J.S.;Kim, Y.H.
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.194-196
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    • 1989
  • The production costing plays a key role in power system expansion and operations planning especially for the calculation of expected energy, loss of load probability and unserved energy. Therefore, it is crucial to develope a probabilistic production costing algorithm which gives sufficiently precise results within a reasonable computational time. In this respect, a number of methods of solving production simulation have been proposed. In previous paper we proposed the method used Fast Hartley Transform in convolution process with considering only the thermal units. In this paper, the method considering the scheduling of pumped-storage plants and hydro plants with energy constraints is proposed.

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Probabilistic real-time updating for geotechnical properties evaluation

  • Ng, Iok-Tong;Yuen, Ka-Veng;Dong, Le
    • Structural Engineering and Mechanics
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    • v.54 no.2
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    • pp.363-378
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    • 2015
  • Estimation of geotechnical properties is an essential but challenging task since they are major components governing the safety and reliability of the entire structural system. However, due to time and budget constraints, reliable geotechnical properties estimation using traditional site characterization approach is difficult. In view of this, an alternative efficient and cost effective approach to address the overall uncertainty is necessary to facilitate an economical, safe and reliable geotechnical design. In this paper a probabilistic approach is proposed for real-time updating by incorporating new geotechnical information from the underlying project site. The updated model obtained from the proposed method is advantageous because it incorporates information from both existing database and the site of concern. An application using real data from a site in Hong Kong will be presented to demonstrate the proposed method.

Structural Optimization using Reliability Analysis (신뢰성 해석을 이용한 구조최적화)

  • Park, Jae-Yong;Lim, Min-Kyu;Oh, Young-Kyu;Park, Jae-Yong;Han, Seog-Young
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.224-229
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    • 2010
  • This paper presents a reliability-based topology optimization (RBTO) using bi-directional evolutionary structural optimization (BESO). An actual design involves uncertain conditions such as material property, operational load and dimensional variation. Deterministic topology optimization (DTO) is obtained without considering of uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In this paper, the reliability index approach (RIA) is adopted to evaluate the probabilistic constraint. RBTO based on BESO starting from various design domains produces a similar optimal topology each other. Numerical examples are presented to compare the DTO with the RBTO.

Hydro-Thermal Optimal Scheduling Using Probabilistic Tabu Search (확률 타부 탐색법을 이용한 수화력 계통의 경제운용)

  • Kim, Hyung-Su;Park, June-Ho
    • Proceedings of the KIEE Conference
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    • 2002.11b
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    • pp.76-79
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    • 2002
  • In this paper, we propose a Probabilistic Tabu Search(PTS) method for hydro-thermal scheduling. Hydro scheduling has many constraints and very difficult to solve the optimal schedule because it has many local minima. To solve the problem effectively, the proposed method uses two procedures, one is Tabu search procedure that plays a role in local search, and the other is Restarting procedure that enables to diversify its search region. To adjust parameters such as a reducing rate and initial searching region, search strategy is selected according to its probability after Restarting procedure. In order to show the usefulness of the proposed method, the PTS is applied on two cases which have dependent hydro plants and compared to those of other method. The simulation results show it is very efficient and useful algorithm to solve the hydro-thermal scheduling problem.

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Topology Optimization Considering Reliability (신뢰성을 고려한 위상최적설계)

  • Min, Seung-Jae;Bang, Seung-Hyun
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.468-473
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    • 2004
  • New reliability-based topology optimization method is proposed by utilizing single-loop single vector approach, which approximate searching the most probable point in the probabilistic design domain analytically, to reduce the time cost and dealing with several constraints to handle practical design requirements. To examine uncertainties in the topology design of a structure, the modulus of elasticity of the material and applied loadings are considered as probabilistic design variables. The results of design examples show that the proposed method provides efficiency curtailing the time for the optimization process and accuracy satisfying the specified reliability.

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Solving Probability Constraint in Robust Optimization by Minimizing Percent Defective (불량률 최소화를 통한 강건 최적화의 확률제한조건 처리)

  • Lee, Kwang Ki;Park, Chan Kyoung;Kim, Geun Yeon;Lee, Kwon Hee;Han, Sang Wook;Han, Seung Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.8
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    • pp.975-981
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    • 2013
  • A robust optimization is only one of the ways to minimize the effects of variances in design variables on the objective functions at the preliminary design stage. To predict the variances and to formulate the probabilistic constraints are the most important procedures for the robust optimization formulation. Though several methods such as the process capability index and the six sigma technique were proposed for the prediction and formulation of the variances and probabilistic constraints, respectively, there are few attempts using a percent defective which has been widely applied in the quality control of the manufacturing process for probabilistic constraints. In this study, the robust optimization for a lower control arm of automobile vehicle was carried out, in which the design space showing the mean and variance sensitivity of weight and stress was explored before robust optimization for a lower control arm. The 2nd order Taylor expansion for calculating the standard deviation was used to improve the numerical accuracy for predicting the variances. Simplex algorithm which does not use the gradient information in optimization was used to convert constrained optimization into unconstrained one in robust optimization.

Reliability-Based Topology Optimization with Uncertainties

  • Kim Chwa-Il;Wang Se-Myung;Bae Kyoung-Ryun;Moon Hee-Gon;Choi Kyung-K.
    • Journal of Mechanical Science and Technology
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    • v.20 no.4
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    • pp.494-504
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    • 2006
  • This research proposes a reliability-based topology optimization (RBTO) using the finite element method. RBTO is a topology optimization based on probabilistic (or reliability) constraints. Young's modulus, thickness, and loading are considered as the uncertain variables and RBTO is applied to static and eigenvalue problems. The RBTO problems are formulated and a sensitivity analysis is performed. In order to compute probability constraints, two methods-RIA and PMA-are used. Several examples show the effectiveness of the proposed method by comparing the classical safety factor method.

Robust Optimization of Automotive Seat by Using Constraint Response Surface Model (제한조건 반응표면모델에 의한 자동차 시트의 강건최적설계)

  • 이태희;이광기;구자겸;이광순
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.168-173
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    • 2000
  • Design of experiments is utilized for exploring the design space and for building response surface models in order to facilitate the effective solution of multi-objective optimization problems. Response surface models provide an efficient means to rapidly model the trade-off among many conflicting goals. In robust design, it is important not only to achieve robust design objectives but also to maintain the robustness of design feasibility under the effects of variations, called uncertainties. However, the evaluation of feasibility robustness often needs a computationally intensive process. To reduce the computational burden associated with the probabilistic feasibility evaluation, the first-order Taylor series expansions are used to derive individual mean and variance of constraints. For robust design applications, these constraint response surface models are used efficiently and effectively to calculate variances of constraints due to uncertainties. Robust optimization of automotive seat is used to illustrate the approach.

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Combinatorial particle swarm optimization for solving blocking flowshop scheduling problem

  • Eddaly, Mansour;Jarboui, Bassem;Siarry, Patrick
    • Journal of Computational Design and Engineering
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    • v.3 no.4
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    • pp.295-311
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    • 2016
  • This paper addresses to the flowshop scheduling problem with blocking constraints. The objective is to minimize the makespan criterion. We propose a hybrid combinatorial particle swarm optimization algorithm (HCPSO) as a resolution technique for solving this problem. At the initialization, different priority rules are exploited. Experimental study and statistical analysis were performed to select the most adapted one for this problem. Then, the swarm behavior is tested for solving a combinatorial optimization problem such as a sequencing problem under constraints. Finally, an iterated local search algorithm based on probabilistic perturbation is sequentially introduced to the particle swarm optimization algorithm for improving the quality of solution. The computational results show that our approach is able to improve several best known solutions of the literature. In fact, 76 solutions among 120 were improved. Moreover, HCPSO outperforms the compared methods in terms of quality of solutions in short time requirements. Also, the performance of the proposed approach is evaluated according to a real-world industrial problem.

On a notion of sensor modeling in multisensor data fusion

  • Kim, W.J.;Ko, J.H.;Chung, M.J.
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1597-1600
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    • 1991
  • In this paper, we describe a notion of sensor modeling method in multisensor data fusion using fuzzy set theory. Each sensor module is characterized by its fuzzy constraints to specific features of environment. These sensor fuzzy constraints can be imposed on multisensory data to verify their degree of truth and compatibility toward the final decision making. In comparison with other sensor modeling methods, such as probabilistic models or rule-based models, the proposed method is very simple and can be easily implemented in intelligent robot systems.

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