• Title/Summary/Keyword: 관측성 행렬

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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.

A Study on the Accuracy of the Maximum Likelihood Estimator of the Generalized Logistic Distribution According to Information Matrix (Information Matrix에 따른 Generalized Logistic 분포의 최우도 추정량 정확도에 관한 연구)

  • Shin, Hong-Joon;Jung, Young-Hun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.42 no.4
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    • pp.331-341
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    • 2009
  • In this study, we compared the observed information matrix with the Fisher information matrix to estimate the uncertainty of maximum likelihood estimators of the generalized logistic (GL) distribution. The previous literatures recommended the use of the observed information matrix because this is convenient since this matrix is determined as the part of the parameter estimation procedure and there is little difference in accuracy between the observed information matrix and the Fisher information matrix for large sample size. The observed information matrix has been applied for the generalized logistic distribution based on the previous study without verification. For this purpose, a simulation experiment was performed to verify which matrix gave the better accuracy for the GL model. The simulation results showed that the variance-covariance of the ML parameters for the GL distribution came up with similar results to those of previous literature, but it is preferable to use of the Fisher information matrix to estimate the uncertainty of quantile of ML estimators.

The Estimation Model of an Origin-Destination Matrix from Traffic Counts Using a Conjugate Gradient Method (Conjugate Gradient 기법을 이용한 관측교통량 기반 기종점 OD행렬 추정 모형 개발)

  • Lee, Heon-Ju;Lee, Seung-Jae
    • Journal of Korean Society of Transportation
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    • v.22 no.1 s.72
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    • pp.43-62
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    • 2004
  • Conventionally the estimation method of the origin-destination Matrix has been developed by implementing the expansion of sampled data obtained from roadside interview and household travel survey. In the survey process, the bigger the sample size is, the higher the level of limitation, due to taking time for an error test for a cost and a time. Estimating the O-D matrix from observed traffic count data has been applied as methods of over-coming this limitation, and a gradient model is known as one of the most popular techniques. However, in case of the gradient model, although it may be capable of minimizing the error between the observed and estimated traffic volumes, a prior O-D matrix structure cannot maintained exactly. That is to say, unwanted changes may be occurred. For this reason, this study adopts a conjugate gradient algorithm to take into account two factors: estimation of the O-D matrix from the conjugate gradient algorithm while reflecting the prior O-D matrix structure maintained. This development of the O-D matrix estimation model is to minimize the error between observed and estimated traffic volumes. This study validates the model using the simple network, and then applies it to a large scale network. There are several findings through the tests. First, as the consequence of consistency, it is apparent that the upper level of this model plays a key role by the internal relationship with lower level. Secondly, as the respect of estimation precision, the estimation error is lied within the tolerance interval. Furthermore, the structure of the estimated O-D matrix has not changed too much, and even still has conserved some attributes.

Missing Data Correction and Noise Level Estimation of Observation Matrix (관측행렬의 손실 데이터 보정과 잡음 레벨 추정 방법)

  • Koh, Sung-shik
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.3
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    • pp.99-106
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    • 2016
  • In this paper, we will discuss about correction method of missing data on noisy observation matrix and uncertainty analysis for the potential noise. In situations without missing data in an observation matrix, this solution is known to be accurately induced by SVD (Singular Value Decomposition). However, usually the several entries of observation matrix have not been observed and other entries have been perturbed by the influence of noise. In this case, it is difficult to find the solution as well as cause the 3D reconstruction error. Therefore, in order to minimize the 3D reconstruction error, above all things, it is necessary to correct reliably the missing data under noise distribution and to give a quantitative evaluation for the corrected results. This paper focuses on a method for correcting missing data using geometrical properties between 2D projected object and 3D reconstructed shape and for estimating a noise level of the observation matrix using ranks of SVD in order to quantitatively evaluate the performance of the correction algorithm.

Uncertainty Analysis of Observation Matrix for 3D Reconstruction (3차원 복원을 위한 관측행렬의 불확실성 분석)

  • Koh, Sung-shik
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.3
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    • pp.527-535
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    • 2016
  • Statistical optimization algorithms have been variously developed to estimate the 3D shape and motion. However, statistical approaches are limited to analyze the sensitive effects of SfM(Shape from Motion) according to the camera's geometrical position or viewing angles and so on. This paper propose the quantitative estimation method about the uncertainties of an observation matrix by using camera imaging configuration factors predict the reconstruction ambiguities in SfM. This is a very efficient method to predict the final reconstruction performance of SfM algorithm. Moreover, the important point is that our method show how to derive the active guidelines in order to set the camera imaging configurations which can be expected to lead the reasonable reconstruction results. The experimental results verify the quantitative estimates of an observation matrix by using camera imaging configurations and confirm the effectiveness of our algorithm.

An Inference Method of a Multi-server Queue using Arrival and Departure Times (도착 및 이탈시점을 이용한 다중서버 대기행렬 추론)

  • Park, Jinsoo
    • Journal of the Korea Society for Simulation
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    • v.25 no.3
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    • pp.117-123
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    • 2016
  • This paper presents inference methods for inner operations of a multi-server queue when historical data are limited or system observation is restricted. In a queueing system analysis, autocorrelated arrival and service processes increase the complexity of modeling. Accordingly, numerous analysis methods have been developed. In this paper, we introduce an inference method for specific situations when external observations exhibit autocorrelated structure and and observations of internal operations are difficult. We release an assumption of the previous method and provide lemma and theorem to guarantee the correctness of our proposed inference method. Using only external observations, our proposed method deduces the internal operation of a multi-server queue via non-parametric approach even when the service times are autocorrelated. The main internal inference measures are waiting times and service times of respective customers. We provide some numerical results to verify that our method performs as intended.

Local Observer Design for MIMO Nonlinear Systems (MIMO 비선형 시스템의 로컬 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.1
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    • pp.9-14
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    • 2008
  • This paper presents an observer design methodology for a special class of multi input multi output(MIMO) nonlinear systems. First, we characterize the class of MIMO nonlinear systems with a triangular structure. Also, the observability matrices that plays an important role in proving the convergence of the proposed observer are generalized to MIMO systems. By using the generalized observability matrices, it is shown that under the boundedness conditions of system state and input, the proposed observer guarantees the local exponential convergence to zero of the estimation error.

Robust Digital Redesign for Observer-based System (관측기 기반 시스템에 대한 강인 디지털 재설계)

  • Seong, Hwa-Chang;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.193-196
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    • 2007
  • 본 논문은 관측기 기반 시스템에 대한 강인 디지털 재설계 방안을 제안한다. 디지털 재설계란, 기존의 안정화된 연속시간 플랜트와 이산 시간에서 설계된 디지털 제어기와의 상태 접합 및 안정도 분석을 통해 전체 시스템을 재구성 하는 것을 말한다. 그리고 전 역적 접근을 위한 방안으로서 문제를 볼록 최적화 관점으로 변환 후, 에러가 가질 수 있는 놈의 영역을 최소화 하여 상태 접합을 이루고자 하였다. 본 논문에서는 관측기 기반 시스템에 대한 디지털 재설계를 목표로 하되, 추가적인 파라미터 불확실성을 고려한 강인 디지털 재설계를 구성하게 된다. 파라미터 불확실성은 이산화 과정에서 구조적 형태가 변화하기 때문에, 이를 고려하여 주어진 식을 선형 행렬 부등식 형태로 나타내게 된다. 이 조건들을 통해 디지털 재설계의 상태 접합 및 안정도가 유도 가능하다는 것을 본 논문에서 증명하게 된다.

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A State Observer for MINO Nonlinear Systems (다입력 다출력 비선형 시스템의 상태 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.5
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    • pp.8-12
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    • 2008
  • In this paper, the robust state observer for nonlinear systems with unknown disturbance is proposed. The proposed method has an advantage in that it can reduce the effect of disturbance on estimation error of observer up to a specified level. Therefore, our design a roach can deal with a larger class of uncertain nonlinear system than the existing methods. The sufficient conditions on the existence of robust observer are characterized by well grown linear matrix inequality. Finally, an illustrative example is given to verify the proposed design scheme.

The Estimation of an Origin-Destination Matrix from Traffic Counts using Conjugate Gradient Method in Nationwide Networks (관측교통량 기반 기종점 OD행렬 추정모형의 대규모 가로망에 적용(CG모형 적용을 중심으로))

  • Lee, Heon-Ju;Lee, Seung-Jae
    • Journal of Korean Society of Transportation
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    • v.23 no.3 s.81
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    • pp.61-71
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    • 2005
  • We evaluated the availability of Origin-Destination Matrix from traffic counts Using conjugate gradient method to large scale networks by applying it to the networks in 246 zones. As a result of the analysis of the consistency of the model on Nationwide Networks, the upper and lower levels in model had the systematic relationship internally. From the analysis of the estimable power or the model according to the number of traffic counting links, the error in traffic volume had the estimable power in the range of permissible error. In addition, the estimable power of estimation of an Origin-Destination Matrix was more satisfactory than that of existing methods. We conclude that conjugate gradient method cab be applied to nationwide networks if we can make sure that the algorithm of the developed model is reliable by doing various kinds of experiment.