• 산업경영시스템학회지
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• 제16권28호
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• pp.39-47
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• 1993

In this paper, We develop performance evaluation model for Twin fork Automated Storage/Retrieval systems. The system is modeled as a modified bulk service queueing system consisting of one exponential server with limited system capacity. The differance between this model and general bulk service queueing model is the inequality of transition service rate of each stage. The ejective of this model is to provide system characteristics for Twin fork AS/R system design problems, which are the number of customers in system, wait time in system and queue, the system queue size.

• 산업경영시스템학회지
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• 제39권2호
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• pp.1-10
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• 2016

In this paper, we present a new way to derive the mean cycle time of the G/G/m failure prone queue when the loading of the system approaches to zero. The loading is the relative ratio of the arrival rate to the service rate multiplied by the number of servers. The system with low loading means the busy fraction of the system is low. The queueing system with low loading can be found in the semiconductor manufacturing process. Cluster tools in semiconductor manufacturing need a setup whenever the types of two successive lots are different. To setup a cluster tool, all wafers of preceding lot should be removed. Then, the waiting time of the next lot is zero excluding the setup time. This kind of situation can be regarded as the system with low loading. By employing absorbing Markov chain model and renewal theory, we propose a new way to derive the exact mean cycle time. In addition, using the proposed method, we present the cycle times of other types of queueing systems. For a queueing model with phase type service time distribution, we can obtain a two dimensional Markov chain model, which leads us to calculate the exact cycle time. The results also can be applied to a queueing model with batch arrivals. Our results can be employed to test the accuracy of existing or newly developed approximation methods. Furthermore, we provide intuitive interpretations to the results regarding the expected waiting time. The intuitive interpretations can be used to understand logically the characteristics of systems with low loading.

• 한국통신학회논문지
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• 제24권10B호
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• pp.1971-1978
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• 1999

본 논문에서는‘shifting-level (SL) process’을 기초로 한 모델을 사용하여, VBR 부호화된 영상트래픽의 long-range dependence (LRD) 특성이 대기체계에 미치는 영향에 대해서 연구하였다. 연구 내용은 제1부와 제2부로 나누어 전개된다. 제 1부에서는 실제 영상트래픽의 자기상관함수가 exponential과 hyperbolic의 복합함수로 매우 정확히 표현될 수 있음을 보이고, 이러한 조건을 만족하는 SL process with compound correlations(SLCC)를 제안한다. 대표적인 SRD 모델인 DAR(1)모델과의 대기성능 비교를 통하여 hyperbolic한 상관도가 대기체계에 끼치는 영향을 분석한다. 분석결과 영상의 LRD 특성이 대기체계에 끼치는 영향의 중요도는 단순히‘Yes/No’로 답할 수 없으며, 트래픽 부하가 높아지면 그 영향이 강하게 나타나고, 반대로 트래픽 부하가 낮은 경우에는 무시할 수 있을 정도로 약하게 나타남을 알 수 있다. 여기에 사용하는 SL/D/1/K 대기체계의 해석방법을 제2부에서 다루게 된다.

• 제어로봇시스템학회논문지
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• 제8권4호
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• pp.288-291
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• 2002

We characterize multipath fading channel dynamics at the packet level and analyze the corresponding data queueing performance in various environments. We identify the similarity between wire-line queueing analysis and wireless network per-formance analysis. The second order channel statistics, i.e. channel power spectrum, is fecund to play an important role in the modeling of multipath fading channels. However, it is identified that the first order statistics, i.e. channel CDF also has significant impact on queueing performance. We use a special Markov chain, so-called CMPP, throughout this paper.

• 대한전자공학회논문지
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• 제20권3호
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• pp.61-68
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• 1983

본 논문에서는 데이터 신호의 통계적 다중화에 관한 제문제들이 취급되었다. 먼저 한정된 waiting room을 가진 시스템에서 데이타 신호가 일정한 속도로 출력된다고 가정하고 batch-poisson 분포의 신호가 입력될 때의 queueing model을 검토하였다. 즉. 신호량과 신호의 평균길이를 변수로 하여 buffer의 크기, overflow의 확률 및 buffering으로 야기되는 queueing 지연시간 등을 살펴보았다. 그리고 데이터 신호의 통계적 다중화 시스템에 관한 실제 모델을 제시하여 마이크로프로그래밍을 통한 하드웨어 구현에 기본이 되게 하였다. 제안된 실제 모델은 buffer의 동적제어방식을 응용하여 설계되었으며 효율적인 I/O프로세스가 되도록 마련하였다. 끝으로. 이 시스템 모델의 성능을 알아보기 위하여 여러 조건에서의 컴퓨터 시뮬레이션을 행하였다. 이 연구로 얻어진 제반 결과는 일반적인 buffer설계에 지침이 될 수 있다.

• 산업경영시스템학회지
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• 제38권1호
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• pp.21-29
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• 2015

A steady-state controllable M/G/1 queueing model operating under the {T:Min(T,N)} policy is considered where the {T:Min(T,N)} policy is defined as the next busy period will be initiated either after T time units elapsed from the end of the previous busy period if at least one customer arrives at the system during that time period, or after T time units elapsed without a customer' arrival, the time instant when Nth customer arrives at the system or T time units elapsed with at least one customer arrives at the system whichever comes first. After deriving the necessary system characteristics including the expected number of customers in the system, the expected length of busy period and so on, the total expected cost function per unit time for the system operation is constructed to determine the optimal operating policy. To do so, the cost elements associated with such system characteristics including the customers' waiting cost in the system and the server's removal and activating cost are defined. Then, procedures to determine the optimal values of the decision variables included in the operating policy are provided based on minimizing the total expected cost function per unit time to operate the queueing system under considerations.

• 한국통신학회논문지
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• 제27권10C호
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• pp.945-950
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• 2002

본 논문에서는 유선 및 무선환경에 상관없이 ATM(Asynchronous Transfer Mode) 접속망의 주요구성 요소인 ATM 접속노드의 셀 손실율, 버퍼용량 및 지연시간간의 상관관계를 제시함으로서 ATM접속망 설계를 위한 기본적인 기술적 사항을 분석하였다. 이를위해 ATM 접속노드의 트래픽 성능평가를 위한 트래픽 모델을 ATM cell-scale queueing, burst-scale queueing 레벨로 구분하여 설명하였고 CBR(Constant Bit Rate), 랜덤 및 VBR(Variable Bit Rate) 트래픽 형태별 모델적용을 검토하였다. 결국 유선 또는 무선방식으로 ATM 서비스를 제공하기 위한 ATM접속노드 설계시 서비스별 QoS(Quality of Service)를 만족시키기 위한 셀 손실율, 버퍼용량 및 지연시간간의 상관관계를 정량적으로 분석하였다.

• 한국품질경영학회:학술대회논문집
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• 한국품질경영학회 2007년도 춘계학술대회
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• pp.461-465
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• 2007

The BMAP/M/N/O queueing system operating in Markovian random environment is investigated. The stationary distribution of the system is calculated. Loss probability and other performance measures are calculated. Numerical experiments which show the necessity of taking into account the influence of random environment and correlation in input flow are presented.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2003년도 추계 학술발표회 논문집
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• pp.1-8
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• 2003

The traffic patterns of today's IP networks exhibit two important properties: self-similarity and long-range dependence. The fractional Brownian motion is widely used for representing the traffic model with the properties. We consider a single server fluid queueing system with input process of a fractional Brownian motion type. Formulas for effective bandwidth are derived in a single source and multiple source cases.

• 산업경영시스템학회지
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• 제30권4호
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• pp.39-45
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• 2007

The BMAP/M/N/0 queueing system operating in Markovian random environment is investigated. The stationary distribution of the system is derived. Loss probability and other performance measures of the system also are calculated. Numerical experiments which show the necessity of taking into account the influence of random environment and correlation in input flow are presented.