• Title/Summary/Keyword: (Max,+)-선형 시스템

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Timetabling and Analysis of Train Connection Schedule Using Max-Plus Algebra (Max-Plus 대수를 이용한 환승 스케줄 시간표 작성 및 분석)

  • Park, Bum-Hwan
    • Journal of the Korean Society for Railway
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    • v.12 no.2
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    • pp.267-275
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    • 2009
  • Max-plus algebra is a nonlinear system comprised of two operations, maximization (max) and addition (Plus), which are corresponding to the addition and the multiplication in conventional algebra, respectively. This methodology is applicable to many discrete event systems containing the state transition with the maximization and addition operation. Timetable with connection is one of such systems. We present the method based on max-plus algebra, which can make up timetable considering transfer and analyse its stability and robustness. In this study, it will be shown how to make up the timetable of the urban train and analyse its stability using Max-Plus algebra.

Fuzzy Linearity of the Seminormed Fuzzy Integrals of Interval-valued Functions (구간 값을 갖는 함수의 준 노름 적분의 선형성)

  • Kim, Mi-Hye;Kim, Mi-Suk;Lee, Seok Jong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.3
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    • pp.262-266
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    • 2004
  • In general, the fuzzy integral lacks some important properties that Lebesgue integral possesses. One of them is linearity. In this paper, we introduce fuzzy linearity in which we use the supremum and the infimum instead of additon and scalar multiplication in the expression of linearity and show that the fuzzy linearity of the seminormed fuzzy integrals of interval-valued functions when the fuzzy measure g is fuzzy additive, the continuous t-seminorm is saturated and measurable functions satisfy the condition[Max].

Comparison of DBR with CONWIP in a Production Line with Constant Processing Times (상수 공정 시간을 갖는 라인 생산 시스템에서 DBR과 CONWIP의 성능 비교 분석)

  • Lee, Hochang;Seo, Dong-Won
    • Journal of the Korea Society for Simulation
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    • v.21 no.4
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    • pp.11-24
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    • 2012
  • We compared a DBR(drum-buffer-rope) system with a CONWIP(constant work-in-process) system in a production line with constant processing times. Based on the observation that a WIP-controlled line production system such as DBR and CONWIP is equivalent to a m-node tandem queue with finite buffer, we applied a max-plus algebra based solution method for the tandem queue to evaluate the performance of two systems. Numerical examples with 6 workstations were also used to demonstrate the proposed analysis. The mathematical analyses support that CONWIP outperforms DBR in terms of expected waiting time and WIP. Unlike the CONWIP case, sequencing workstations in a DBR affects the performance of the system. Delaying a bottleneck station in a DBR reduces expected waiting time.

Medical Image Compression in the Wavelet Transform Domain (Wavelet 변환 영역에서 의료영상압축)

  • 이상복;신승수
    • The Journal of the Korea Contents Association
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    • v.2 no.4
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    • pp.23-29
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    • 2002
  • This paper suggest the image compression that is needed to process PACS in medical information system. The image decoding method is used Linear-predictor and Lloyd-Max quantizer(quantization) in the Wavelet transform domain. Wavelet Transform Method is processed the multi-resolution by dividing image into 10 sub-bands of 3 levels. Low frequency domain that is sensitive to human visual characteristic is encoded by DPCM which is lossless encoding methods, and Lloyed-Max quantizer, the optimal quantizer for reducing ringing and aliasing in the image of inter sub-band, is used in the remaining high frequency domain of sub-band. The examination verifies that decompressed images are superior by the result that PSNR is 28.53dB on the input image, 512$\times$152 abdominal CT image and Chest image.

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Blocking Probability in an M/D/1/K Queue (M/D/1/K 대기행렬에서의 차단확률)

  • Seo, Dong-Won
    • Journal of the Korea Society for Simulation
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    • v.17 no.4
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    • pp.241-247
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    • 2008
  • In this study we consider an M/D/1 queue with a finite buffer. Due to the finiteness of the buffer capacity arriving customers can not join the system and turn away without service when the buffer is full. Even though a computational method for blocking probabilities in an M/D/1/K queue is already known, it is very complex to use. The aim of this study is to propose a new way to compute blocking probability by using (max,+)-algebra. Our approach provide a totally different and easier way to compute blocking probabilities and it is, moreover, immediately applicable to more generous queueing systems.

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Characteristics of Fuzzy Inference Systems by Means of Partition of Input Spaces in Nonlinear Process (비선형 공정에서의 입력 공간 분할에 의한 퍼지 추론 시스템의 특성 분석)

  • Park, Keon-Jun;Lee, Dong-Yoon
    • The Journal of the Korea Contents Association
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    • v.11 no.3
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    • pp.48-55
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    • 2011
  • In this paper, we analyze the input-output characteristics of fuzzy inference systems according to the division of entire input spaces and the fuzzy reasoning methods to identify the fuzzy model for nonlinear process. And fuzzy model is expressed by identifying the structure and parameters of the system by means of input variables, fuzzy partition of input spaces, and consequence polynomial functions. In the premise part of the rules Min-Max method using the minimum and maximum values of input data set and C-Means clustering algorithm forming input data into the hard clusters are used for identification of fuzzy model and membership function is used as a series of triangular membership function. In the consequence part of the rules fuzzy reasoning is conducted by two types of inferences. The identification of the consequence parameters, namely polynomial coefficients, of the rules are carried out by the standard least square method. And lastly, we use gas furnace process which is widely used in nonlinear process and we evaluate the performance for this nonlinear process.

Optimal Schedules for Dimension-Ordered Routing Communications in Myrinet Clustering Systems. (Myrinet 클러스터링 시스템에서 순위차원 라우팅을 사용하는 통신들의 최적 스케줄링 방법)

  • Park, Sang-Myeong;Lee, Sang-Gyu;Mun, Bong-Hui
    • Journal of KIISE:Information Networking
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    • v.28 no.1
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    • pp.71-81
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    • 2001
  • 최근 병렬처리 시스템에 대한 연구는 마이크로 프로세서 제작 기술과 네트워크 기술이 발달함에 따라 고성능의 PC와 워크스테이션 여러대를 고속의 네트워크로 연결하여 구축하는 클러스터링 환경에 관심이 고조되고 있다. 그런데 이러한 클러스터링 시스템의 성능은 수행되는 애플리케이션 프로그램의 병렬성이나 xdhtls 빈도 등의 특성에 따라 달라진다. 그러므로 클러스터링 시스템의 성능을 향상시키기 위해서는 애플리케이션의 이러한 특성을 고려하여 최상의 효과를 얻기 위한 조정작업이 필요하며 그 방법중의 하나가 시스템 상에서 발생하는 통신들에 대하 스케줄링을 수행하는 것이다. 본 논문에서는 Myrinet 스위치를 사용하여 선형으로 구성한 클러스터링 시스테과 2차원 메쉬 형태로 구성한 클러스터링 시스템의 두 가지 모델을 가정하고 이들 모델 상에서 특성 시간에 주어지는 통신요청들에 대하여 순위차원 라우팅을 사용하여 메시지들을 최단시간에 전송할 수 있는 최적 통신스케줄링 알고리즘을 제안한다. 시스템 상에서 같은 방향으로 동시에 링크를 공유한는 통신들의 개수의 최대값을 $L_{MAX}$로 시스템에서 하나의 메시지가 전달되는데 걸리는 시간을 T로 정의하면 알고리즘에 의해 선형 네트워크에서의 통신 요청 집합에 대한 메시지 전송 완료 시간은 최대 $L_{MAX}{\cdot}T$, 메쉬 네트워크에서의 통신요청 집합에 대한 메시지 전송 완료시간은 최대 $frac{3}{2}{\cdot}T$임을 증명하였다.

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Optimal Design of a Linear Structural Control System Considering Loading Uncertainties (하중의 불확실성을 고려한 선형구조제어 시스템의 최적설계)

  • Park, Won-Suk;Park, Kwan-Soon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.2
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    • pp.1-9
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    • 2011
  • An optimal design method for a structural control system considering load variations due to their uncertain characteristics is studied in this paper. The conventional design problem for a control system generally deals with the optimization problem of a structural control system and interaction between the structure and the control device. This study deals with the optimization problem of a load-structure-control system and the more complicated interactions with each other. The problem of finding the load that maximizes the structural responses and the structural control system that minimizes the responses simultaneously is formulated as the min-max problem. In order to effectively obtain the optimal design variables, a co-evolutionary algorithm is adopted and, as a result, an optimal design procedure for the linear structural control system with uncertain dynamic characteristics is proposed. The example design and simulated results of an earthquake excited structure validates the proposed method.

Asymptotic Stabilization of Linear Systems with Time-Varying Input Disturbances Using Disturbance Observer Techniques and Min-Max Control Method (외란관측기법과 최대최소 제어방법을 이용한 시변 입력 외란을 갖는 선형 시스템의 점근 안정화)

  • 송성호;김백섭
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.1
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    • pp.15-21
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    • 2004
  • This paper deals with asymptotic stabilization problems for linear systems with time-varying input disturbances. In order to eliminate the influence of a disturbance on the system, a disturbance observer is designed and the time-varying disturbance can be rejected using its estimated value. Since the disturbance observer is kind of low-pass filter, it has inevitably estimation errors. To eliminate the inflences on the performance due to these errors, the additional control is designed based on these estimation errors using a well-known min-max control method. It is shown that the asymptotic stability of the closed-loop system is guaranteed. In general, the min-max control method requires the switching of control inputs and the switching magnitude of the control input is determined by the disturbance estimation error bounds. As the error bounds can be made arbitrarily small by choosing the high gain for the disturbance observer, the control method suggested in this paper can reduce the chattering phenomena as small as possible. Therefore, it has superior performance to the existing ones.

Cross-Layer Handover Scheme Using Linear Regression Analysis in Mobile WiMAX Networks (선형 회귀 분석을 이용한 모바일 와이맥스에서 계층 통합적 핸드오버 기법)

  • Choi, Yong-Hoon;Yun, Seok-Yeul;Chung, Young-Uk;Kim, Beom-Joon;Lee, Jung-Ryun;Lee, Hyun-Joon
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.8 no.2
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    • pp.91-99
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    • 2009
  • Mobile WiMAX is an emerging technology that can provide ubiquitous Internet access. To provide seamless service in mobile WiMAX environment, delay or disruption in dealing with mobility must be minimized. However offering seamless services on IEEE 802.16e networks is very hard due to long handover latency both in layer 2 and 3. In this paper, we propose a fast cross-layer handover scheme based on prediction algorithm. With the help of the prediction, layer-3 handover activities are able to occur prior to layer-2 handover, and therefore, total handover latency can be reduced. The experiments conducted with system parameters and propagation model defined by WiMAX Forum demonstrate that the proposed method predicts the future signal level accurately and reduces the total handover latency.

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