• Title/Summary/Keyword: Optimal matrix

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Selection of the Optimal Traffic Counting Links using Integer Program Method for Improving the Estimation of Origin Destination Matrix (기종점 OD행렬의 추정력 향상을 위한 교통량 관측구간 선정)

  • Lee, Heon-Ju;Lee, Seung-Jae;Park, Yong-Kil
    • Journal of Korean Society of Transportation
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    • v.22 no.6
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    • pp.57-66
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    • 2004
  • When we estimate an origin-destination matrix from traffic counts. origin-destination matrix estimation from traffic counts according to the selected optimal traffic counting links is method for improving the results of origin-destinaation matrix estimation and for increasing economic efficiency. This paper proposed model of selecting traffic counting links using integer program technique, and selected a traffic counting links using this model, and estimated and origin-destingtion matrix from traffic counts according to the selected optimal traffic counting links. Also, we compared a result of estimating origin-destination matrix from the selected optimal traffic counting links using this model to a result of estimating origin-destination matrix from the randomly selected traffic counting links. The error analysis result was more improved a result of origin-destination matrix estimation using this model than a result of randomly selected links.

Robust Optimal Control of Robot Manipulators with a Weighting Matrix Determination Algorithm

  • Kim, Mi-Kyung;Kang, Hee-Jun
    • International Journal of Precision Engineering and Manufacturing
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    • v.5 no.3
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    • pp.77-84
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    • 2004
  • A robust optimal control design is proposed in this study for rigid robotic systems under the unknown loads and the other uncertainties. The uncertainties are reflected in the performance index, where the uncertainties are bounded for the quadratic square of the states with a positive definite weighting matrix. An iterative algorithm is presented for the determination of the weighting matrix required for necessary robustness. Computer simulations have been done for a weight-lifting operation of a two-link manipulator and the simulation results shows that the proposed algorithm is very effective for a robust control of robotic systems.

MODEL FOR DESIGN MANAGEMENT IN COLLABORATIVE ENVIRONMENT USING DESIGN STRUCTURE MATRIX AND DESIGN PARAMETERS' INFORMATION

  • Salman Akram;Jeonghwan Kim;Jongwon Seo
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1307-1312
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    • 2009
  • Design is an act based on multidisciplinary information. The involvement of various stakeholders makes it difficult to process, plan, and integrate. Iteration is frequent in most of the engineering design and development projects including construction. Design iterations cause rework, and extra efforts are required to get the optimal sequence and to manage the projects. The simple project management techniques are insufficient to fulfill the requirements of integrated design. This paper entails two things: design structure matrix and design parameters' information based model. The emphasis has been given to optimal sequence and crucial iteration using design structure matrix analysis technique. The design projects have been studied using survey data from industry. The optimal sequence and crucial iterations results have been utilized for proposed model. Model integrates two things: information about produced- required key design parameters and information of design changes during the design process. It will help to get familiar with Design management in order to fulfill contemporary needs.

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AN ITERATIVE ALGORITHM FOR SOLVING THE LEAST-SQUARES PROBLEM OF MATRIX EQUATION AXB+CYD=E

  • Shen, Kai-Juan;You, Chuan-Hua;Du, Yu-Xia
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1233-1245
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    • 2008
  • In this paper, an iterative method is proposed to solve the least-squares problem of matrix equation AXB+CYD=E over unknown matrix pair [X, Y]. By this iterative method, for any initial matrix pair [$X_1,\;Y_1$], a solution pair or the least-norm least-squares solution pair of which can be obtained within finite iterative steps in the absence of roundoff errors. In addition, we also consider the optimal approximation problem for the given matrix pair [$X_0,\;Y_0$] in Frobenius norm. Given numerical examples show that the algorithm is efficient.

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행렬세임에서의 감도분석

  • 성기석;박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.13 no.1
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    • pp.1-9
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    • 1988
  • The purpose of this paper is study the sensitivity analysis of matrix game. Teh sensitivity analysis of matrix is classified into two types. Type one is to find the characteristic region of an element of the pay off matrix in which the value of the current optimal strategy remains as an optimum. Type two is to find that in which the basis of the current optimal strategy does not change. This paper shows the characteristic regions of basic and nonbasic strategies. Further it is found that the characteristic regions of type one and two are same in the case that the element is that of at least one player's nonbasic strategy.

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A Bayesian Approach to Paired Comparison of Several Products of Poisson Rates

  • Kim Dae-Hwang;Kim Hea-Jung
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.229-236
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    • 2004
  • This article presents a multiple comparison ranking procedure for several products of the Poisson rates. A preference probability matrix that warrants the optimal comparison ranking is introduced. Using a Bayesian Monte Carlo method, we develop simulation-based procedure to estimate the matrix and obtain the optimal ranking via a row-sum scores method. Necessary theory and two illustrative examples are provided.

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THE CHOOSING AND ANALYSIS OF WEIGHTING MATRIX IN OPTIMAL CONTROL DESIGN. (최적제어 설계에 있어서의 하중행렬의 선택과 해석)

  • Hwang, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.62-65
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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On the Optimal Decision making by the AHP (AHP를 이용한 최적 의사결정에 관한 연구)

  • Chung, Soon-Suk
    • Proceedings of the Safety Management and Science Conference
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    • 2006.11a
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    • pp.427-435
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    • 2006
  • We study on the consistency of AHP. It is research that extend of SAW methods by [1]. For tools that measure judgment of inconsistency eigenvector methods, we research consistency that introduced consistency ratio by Saaty. in general, the higher consistence of compare matrix the bigger error within matrix. In this paper, we use the AHP for the optimal decision making. By this method, we have optimal decision making numenical example which three models of any domestic motors companies.

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Design of the Optimal Controller for Takagi-Sugeno Fuzzy Systems and Its Application to Spacecraft control (Takagi-Sugeno 퍼지시스템에 대한 최적 제어기 설계 및 우주 비행체의 자세 제어 응용)

  • Park, Yeon-Muk;Tak, Min-Je
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.7
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    • pp.589-596
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    • 2001
  • In this paper, a new design methodology for the optimal control of nonlinear systems described by the TS(Takagi-Sugeno) fuzzy model is proposed. First, a new theorem concerning the optimal stabilizing control of a general nonlinear dynamic system is proposed. Next, based on the proposed theorem and the inverse optimal approach, an optimal controller synthesis procedure for a TS fuzzy system is given, Also, it is shown that the optimal controller can be found by solving a linear matrix inequality problem. Finally, the proposed method is applied to the attitude control of a rigid spacecraft to demonstrate its validity.

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A Study on Linear Matrix Inequalities Robust Active Suspension Control System Design Algorithm

  • Park, Jung-Hyen
    • Journal of information and communication convergence engineering
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    • v.6 no.1
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    • pp.105-109
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    • 2008
  • A robust optimal control system design algorithm in active suspension equipment adopting linear matrix inequalities control system design theory is presented. The validity of the linear matrix inequalities robust control system design in active suspension system through the numerical examples is also investigated.