• Title/Summary/Keyword: Deterministic optimization

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A Study on Nonlinear Parameter Optimization Problem using SDS Algorithm (SDS 알고리즘을 이용한 비선형 파라미터 최적화에 관한 연구)

  • Lee, Young-J.;Jang, Young-H.;Lee, Kwon-S.
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.623-625
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    • 1998
  • This paper focuses on the fast convergence in nonlinear parameter optimization which is necessary for the fitting of nonlinear models to data. The simulated annealing(SA) and genetic algorithm(GA), which are widely used for combinatorial optimization problems, are stochastic strategy for search of the ground state and a powerful tool for optimization. However, their main disadvantage is the long convergence time by unnecessary extra works. It is also recognised that gradient-based nonlinear programing techniques would typically fail to find global minimum. Therefore, this paper develops a modified SA which is the SDS(Stochastic deterministic stochastic) algorithm can minimize cost function of optimal problem.

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Concurrent topology optimization of composite macrostructure and microstructure under uncertain dynamic loads

  • Cai, Jinhu;Yang, Zhijie;Wang, Chunjie;Ding, Jianzhong
    • Structural Engineering and Mechanics
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    • v.81 no.3
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    • pp.267-280
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    • 2022
  • Multiscale structure has attracted significant interest due to its high stiffness/strength to weight ratios and multifunctional performance. However, most of the existing concurrent topology optimization works are carried out under deterministic load conditions. Hence, this paper proposes a robust concurrent topology optimization method based on the bidirectional evolutionary structural optimization (BESO) method for the design of structures composed of periodic microstructures subjected to uncertain dynamic loads. The robust objective function is defined as the weighted sum of the mean and standard deviation of the module of dynamic structural compliance with constraints are imposed to both macro- and microscale structure volume fractions. The polynomial chaos expansion (PCE) method is used to quantify and propagate load uncertainty to evaluate the objective function. The effective properties of microstructure is evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The proposed method is a non-intrusive method, and it can be conveniently extended to many topology optimization problems with other distributions. Several numerical examples are used to validate the effectiveness of the proposed robust concurrent topology optimization method.

Study of Efficient Aerodynamic Shape Design Optimization with Uncertainties (신뢰성을 고려한 효율적인 공력 형상 최적 설계에 대한 연구)

  • 김수환;권장혁
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.7
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    • pp.18-27
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    • 2006
  • The conventional reliability based design optimization(RBDO) methods require high computational cost compared with the deterministic design optimization(DO) methods, therefore it is hard to apply directly to large-scaled problems such as an aerodynamic shape design optimization. In this study, to overcome this computational limitation the efficient RBDO procedure with the two-point approximation(TPA) and adjoint sensitivity analysis is proposed, that the computational requirement is nearly the same as DO and the reliability accuracy is good compared with that of RBDO. Using this, the 3-D aerodynamic shape design optimization is performed very efficiently.

Probabilistic optimization of nailing system for soil walls in uncertain condition

  • Mitra Jafarbeglou;Farzin Kalantary
    • Geomechanics and Engineering
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    • v.34 no.6
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    • pp.597-609
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    • 2023
  • One of the applicable methods for the stabilization of soil walls is the nailing system which consists of tensile struts. The stability and safety of soil nail wall systems are influenced by the geometrical parameters of the nailing system. Generally, the determination of nailing parameters in order to achieve optimal performance of the nailing system for the safety of soil walls is defined in the framework of optimization problems. Also, according to the various uncertainty in the mechanical parameters of soil structures, it is necessary to evaluate the reliability of the system as a probabilistic problem. In this paper, the optimal design of the nailing system is carried out in deterministic and probabilistic cases using meta-heuristic and reliability-based design optimization methods. The colliding body optimization algorithm and first-order reliability method are used for optimization and reliability analysis problems, respectively. The objective function is defined based on the total cost of nails and safety factors and reliability index are selected as constraints. The mechanical properties of the nailing system are selected as design variables and the mechanical properties of the soil are selected as random variables. The results show that the reliability of the optimally designed soil nail system is very sensitive to uncertainty in soil mechanical parameters. Also, the design results are affected by uncertainties in soil mechanical parameters due to the values of safety factors. Reliability-based design optimization results show that a nailing system can be designed for the expected level of reliability and failure probability.

Quasi-Deadbeat Minimax Estimation for Deterministic Generic Linear Models

  • Lee, Kwan-Ho;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.45.5-45
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    • 2002
  • In this paper, a quasi-deadbeat minimax estimation (QME) is proposed as a new class of time-domain parameter estimations for deterministic generic linear models. Linearity, quasi-deadbeat property, FIR structure, and independency of the initial parameter information will be required in advance, in addition to a new performance criterion of a worst case gain between the disturbances and the current estimation error. The proposed QME is obtained in a closed form by directly solving an optimization problem. The QME is represented in both a batch form and an iterative form. A fast algorithm for the suggested estimation is also presented, which is remarkable in view...

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Minimum Zone Evaluation of Straightness Using the Genius Education Concept (영재 교육 개념을 응용한 직선도의 최소영역 평가)

  • Kim, Soo-Kwang;Cho, Dong-Woo;Lee, Kahng-In
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.8
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    • pp.130-137
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    • 1999
  • The criteria for determining the elements are the minimum zone method(MZM) and the least squares method(LSM). The LSM is deterministic and simple but is limited at the measurements whose errors are significant compared with form errors. For the precise condition, minimum zone method(MZM) has been selected to determine the elements. It is not deterministic and nonlinear so that a optimizing procedure is needed. The Straightness is the fundamental problem in the evaluating form error. In this paper, a new approach adapting the genius education concept is proposed to obtain an accurate results for the minimum zone problem of the straightness. Its computational algorithm is studied on a set of randomly generated data. To be of almost no account of the specification(the number and the standard devistion etc.) of the sample data, the results shows excellent reliability and high accuracy in estimating the straightness.

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Deterministic rule-based control classification for HEV (하이브리드 차량의 SOC 유지전략 방법)

  • Byun, Sang-Min;Kim, Beom-Soo;Cha, Suk-Won
    • 한국신재생에너지학회:학술대회논문집
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    • 2008.10a
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    • pp.357-360
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    • 2008
  • There are many control strategies for HEV in today. Expanding motor-driving and operating at good-efficient point in engine is the key of the HEV control to increase fuel economy. There are two types of HEV supervisory control. One is rule-based control and the other is optimization control. MAX-SOC control, thermostat control, baseline status control and state-machine control are in deterministic RBC. It is simple, but powerful and easy to apply in real-time circumstance. In this study, we analysis these four control strategies in RBC (Rule-based control) and identify the each advantage and disadvantage.

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A New Product Development Using Robust Design and Decision Making Process

  • Lin, Than;Doan, Trieu An;Vu, Ngoc Anh;Cho, Guk-Hyun;Lee, Jae-Woo;Byun, Yung-Hwan
    • Journal of the Korean Society of Systems Engineering
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    • v.3 no.1
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    • pp.41-48
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    • 2007
  • This paper presents a design methodology for developing a new push scooter. A case study is clone with effective planning processes to ensure the product quality under the different phases of a product design process. Parametric model based design process simulation and optimization is implemented by using ANSYS application tool. The relationship matrix and decision matrix are drawn by using several methods. The simulation results for deterministic design and robust design are compared. This entire design process phase can support the design and quality improvements for a new product development.

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APPROACHING A LINEAR PROGRAMMING MODEL FOR PRODUCTION PLANNING OF A READY-MADE GARMENTS INDUSTRY

  • SAYMA SURAIYA;MD. BABUL HASAN
    • Journal of applied mathematics & informatics
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    • v.41 no.1
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    • pp.215-228
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    • 2023
  • The ready-made garments (RMG) have been making a crucial contribution about of 81% of total export and 12.36 % of total GDP of the country which is now the single biggest export earner for Bangladesh. The cheap production cost is the key important factor to explore this RMG sector. But these RMG sector is running on the basis of intuition based decisions. Though they are making profit it is not optimal. In this study, a deterministic model is developed to help the RMG to minimize the production cost and to maximize their profit along with optimal utilization of available resources. 10 different types of products are taken from one of the garments factories of Gazipur, Dhaka to prepare this research work. This model suggests the manufacturer on which products along with how much should be produced to meet the future demand by maintaining the lowest production cost that ultimately maximize the profit of the organization, and also helps Bangladesh to compete in the international market with 'Made in Bangladesh'. LINDO programming is used here to solve this LP model.

Reliability-Based Topology Optimization for Structures with Stiffness Constraints (강성구속 조건을 갖는 구조물의 신뢰성기반 위상최적설계)

  • Kim, Sang-Rak;Park, Jae-Yong;Lee, Won-Goo;Yu, Jin-Shik;Han, Seog-Young
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.6
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    • pp.77-82
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    • 2008
  • This paper presents a Reliability-Based Topology Optimization(RBTO) using the Evolutionary Structural Optimization(ESO). An actual design involves some uncertain conditions such as material property, operational load and dimensional variation. The Deterministic Topology Optimization(DTO) is obtained without considering the uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In order to determine whether the probabilistic constraints are satisfied or not, simulation techniques and approximation methods are developed. In this paper, the reliability index approach(RIA) is adopted to evaluate the probabilistic constraints. In order to apply the ESO method to the RBTO, sensitivity number is defined as the change in the reliability index due to the removal of the ith element. Numerical examples are presented to compare the DTO with the RBTO.