• Title/Summary/Keyword: Non-Linear Optimization

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Design Optimization of a Pin-Fin Type Heat Sink (핀-휜형 방열판의 설계 최적화)

  • 김형렬;박경우
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.10
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    • pp.860-869
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    • 2003
  • Design optimization of the heat sink with 7${\times}$7 square pin-fins is performed numerically using the Computational Fluid Dynamics (CFD) and the Computer Aided Optimization (CAO). In the pin-fins heat sink, the optimum design variables for fin height (h), fin width (w), and fan-to-heat sink distance (c) can be achieved when the thermal resistance ($\theta$$_{j}$) at the junction and the overall pressure drop ($\Delta$p) are minimized simultaneously. To complete the optimization, the finite volume method for calculating the objective functions, the BFGS method for solving the unconstrained non-linear optimization problem, and the weighting method for predicting the multi-objective problem are used. The results show that the optimum design variable for the weighting coefficient of 0.5 are as follows: w=4.653 mm, h=59.215 mm, and c=2.667 mm. In this case, the objective functions are predicted as 0.56K/W of thermal resistance and 6.91 Pa of pressure drop. The Pareto optimal solutions are also presented.re also presented.d.

On-demand Allocation of Multiple Mutual-compensating Resources in Wireless Downlinks: a Multi-server Case

  • Han, Han;Xu, Yuhua;Huang, Qinfei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.3
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    • pp.921-940
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    • 2015
  • In this paper, we investigate the multi-resource allocation problem, a unique feature of which is that the multiple resources can compensate each other while achieving the desired system performance. In particular, power and time allocations are jointly optimized with the target of energy efficiency under the resource-limited constraints. Different from previous studies on the power-time tradeoff, we consider a multi-server case where the concurrent serving users are quantitatively restricted. Therefore user selection is investigated accompanying the resource allocation, making the power-time tradeoff occur not only between the users in the same server but also in different servers. The complex multivariate optimization problem can be modeled as a variant of 2-Dimension Bin Packing Problem (V2D-BPP), which is a joint non-linear and integer programming problem. Though we use state decomposition model to transform it into a convex optimization problem, the variables are still coupled. Therefore, we propose an Iterative Dual Optimization (IDO) algorithm to obtain its optimal solution. Simulations show that the joint multi-resource allocation algorithm outperforms two existing non-joint algorithms from the perspective of energy efficiency.

Approximation Algorithm for Multi Agents-Multi Tasks Assignment with Completion Probability (작업 완료 확률을 고려한 다수 에이전트-다수 작업 할당의 근사 알고리즘)

  • Kim, Gwang
    • Journal of Korea Society of Industrial Information Systems
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    • v.27 no.2
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    • pp.61-69
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    • 2022
  • A multi-agent system is a system that aims at achieving the best-coordinated decision based on each agent's local decision. In this paper, we consider a multi agent-multi task assignment problem. Each agent is assigned to only one task and there is a completion probability for performing. The objective is to determine an assignment that maximizes the sum of the completion probabilities for all tasks. The problem, expressed as a non-linear objective function and combinatorial optimization, is NP-hard. It is necessary to design an effective and efficient solution methodology. This paper presents an approximation algorithm using submodularity, which means a marginal gain diminishing, and demonstrates the scalability and robustness of the algorithm in theoretical and experimental ways.

A Study on the Optimization of Grinding Energy Density for a Non-linear Grinding System with Dual Time Delay (이중 시간지연을 가지는 비선형 연삭기의 가공 에너지 밀도 최적화 연구)

  • Jung, Jeehyun;Kim, Pilkee;Lee, Jung-In;Lee, Sooyoung;Lee, Jong-Hang;Kim, Kyung-Dong;Seok, Jongwon
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.5
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    • pp.493-498
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    • 2013
  • The present study treats the optimization process for a non-linear grinding system with dual time delay, mainly from the energetic viewpoint. To this end, the stability of the grinding system is investigated first with regard to the grinding wheel rotation speed. The concept of grinding energy density is newly proposed as the primary figure of merit and this quantity is evaluated at various stable and limit cycle conditions. The computational results show that simple monotonic trend in energy density is observed under stable conditions, whilst rather complicated behaviors can appear when the conditions are associated with limit cycle oscillations. Finally, the relations between the vibration amplitude and the energy density and their implications on the engineering decision/compromise are discussed.

Study upon the rheological properties and optimiztion of tofu bean products (두부콩들의 물성학적 기능성 비교 및 최적화에 관한 연구)

  • Yoon, Won B.;Hahm, Young T.;Kim, Byung Y.
    • Applied Biological Chemistry
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    • v.40 no.3
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    • pp.225-231
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    • 1997
  • Optimization theory was applied to a native and two imported soybeans. Failure stress and stress relaxation curve was measured with rheometer, and color was measured by colorimeter. The effects of each soybean upon the tofu texture were expressed through a non-linear canonical regression model and trace plot. Compared to the other imported soybeans, native soybean produced a higher strength in tofu texture, and showed the positive increase in viscoelastic properties such as instantaneous stress, equilibrium stress and relaxation time, whereas it had no effect on whiteness from reference blend, represented that native soy-bean showed the individual strength upon the selected rheological texture properties. Higher soaking ability in native soybean was selected as a new response for the optimization mixture process, and it contributed positively to the rheological properties of tofu. New soaking process control system during processing and desirability for the mathematical model should be applied for a better mixture design in varieties of soybeans.

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Optimization of Superplastic Forming Process (초소성 성형공정 최적화)

  • Lee, Jeong-Min;Hong, Seong-Seok;Kim, Yong-Hwan
    • Transactions of Materials Processing
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    • v.7 no.3
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    • pp.207-214
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    • 1998
  • Influence of final thickness distribution in superplastic forming processes on mechanical properties of the product becomes very crucial. We should improve the thickness distribution of products by combining process parameters adequately In this paper we adopt a non-linear optimization technique for optimal process design of superplastic forming. And optimum design variable which makes the most adequate thickness distribution in combined stretc/blow forming and blow forming is predicted by this optimization scheme and rigid-viscoplastic finite element method.

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Stiffness Determination of a Bolted Member Using Optimization Technique (최적화 기법을 이용한 모울트 체결체의 강성 평가)

  • 김태완;손용수;박성호
    • Computational Structural Engineering
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    • v.6 no.4
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    • pp.99-105
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    • 1993
  • In this paper a useful method on evaluating the joint stiffness of a bolted member was introduced using optimization technique on the basis of Finite Element Method. A finite element model having one directional gap element at boundary area was introduced to compensate the prying force in jointed members which might be caused by geometrical configuration of members. Results showed a good agreement with classical method in certain range and will be available to define the appropriate design margin of pre-load design.

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Cogging Torque Optimization of Axial-Flux Motor (축방향 자속형 전동기의 코깅 토크 최적화)

  • Kim, Il-Woo;Woo, Dong-Kyun;Jung, Huyn-Kyo
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.826-827
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    • 2011
  • The selection of optimum parameters in electromagnetic design usually requires optimization of multimodal, non linear functions. This leads to extensive calculations which pose a huge inconvenience in the design process. This paper proposes a novel algorithm for dealing efficiently with this issue. Through the use of contour line concept coupled with Kriging, the algorithm finds out all the peaks in the problem domain with as few function calls as possible. The proposed algorithm is applied to the magnet shape optimization of an axial flux permanent magnet synchronous machine and the cogging torque was reduced to 79.8% of the initial one.

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A Study on the Torque Optimization of Parking Sign system (주차판 표시장치의 토크 최적화에 대한 연구)

  • 정양희;이보희;유일현;최상호;김종태
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.3
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    • pp.543-551
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    • 2001
  • This paper is concerned with optimization of a motor torque to drive Parking Sign system. It needs to minimize powers for stand alone operation and requires the optimized parameters in order to move the plates in the minimum torque. The operation can be represented as a complicated non-linear equation which is difficult to solve by general optimization techniques. In this paper, the dynamic equations of the system are derived, also the suitable Genetic Algorithm is designed to solve the equations. Computer simulation shows the availability of this method.

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Yoke Topology Optimization of the Bias Magnetic System in a Magnetostrictive Sensor (자기변형 센서 바이어스 자기계의 요크 위상최적설계)

  • Kim, Yoon-Young;Kim, Woo-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.923-929
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    • 2004
  • A magnetostrictive sensor is a sensor measuring elastic waves. Because of its unique non-contact measurement feature, the sensor receives more attentions in recent years. These sensors have been mainly used to measure longitudinal and torsional waves in ferromagnetic waveguides, but there increases an interest in using the sensor for flexural wave measurement. Since the performance of the sensor is strongly influenced by the applied bias magnetic field distribution, the design of the bias magnetic system providing the desired magnetic field is critical. The motivation of this investigation is to design a bias magnetic system consisting of electromagnets and yokes and the specific objective is to formulate the design problem as a bias yoke topology optimization. For the formulation, we employ linear magnetic behavior and examine the optimized results for electromagnets located at various locations. After completing the design optimization, we fabricate the prototype of the proposed bias magnetic system, and test its performance through flexural wave measurements.