• Title/Summary/Keyword: Queueing Systems

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Analysis of Feedback Queues with Priorities

  • Hong, Sung-Jo;Hirayama, Tetsuji
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.4
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    • pp.137-146
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    • 1993
  • We consider single server feedback queueing systems with priorities. In the model, there are J stations and job classes. Jobs of class i arrive at station i according to a Poisson process, and have a general service time distribution. We derive the generating functions of the number of jobs at each station just after a busy period and the formula for the mean sojourn time that a specific tagged job spends at station j from its arrival to departure from the system.

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REGENERATIVE BOOTSTRAP FOR SIMULATION OUTPUT ANALYSIS

  • Kim, Yun-Bae
    • Proceedings of the Korea Society for Simulation Conference
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    • 2001.05a
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    • pp.169-169
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    • 2001
  • With the aid of fast computing power, resampling techniques are being introduced for simulation output analysis (SOA). Autocorrelation among the output from discrete-event simulation prohibit the direct application of resampling schemes (Threshold bootstrap, Binary bootstrap, Stationary bootstrap, etc) extend its usage to time-series data such as simulation output. We present a new method for inference from a regenerative process, regenerative bootstrap, that equals or exceeds the performance of classical regenerative method and approximation regeneration techniques. Regenerative bootstrap saves computation time and overcomes the problem of scarce regeneration cycles. Computational results are provided using M/M/1 model.

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A Determination on Optimal Configuration of Flexible Manufacturing System (유연생산시스템의 최적구성 결정)

  • 장진익;김원중
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.24 no.67
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    • pp.19-26
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    • 2001
  • A design issue for a flexible manufacturing system is to find the number of each resource type which assures a given production ratio with a minimal cost. The FMS is modeled as a closed queueing network with a local buffer of limited capacity. An efficient method to determine this optical configuration is presented. The proposed method consists of three steps : 1) determine a lower configuration, 2) derive a heuristic solution, 3) find the optimal solution. The derived heuristic solutions are close to the optical solution.

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AN APPROXIMATION FOR THE DISTRIBUTION OF THE NUMBER OF RETRYING CUSTOMERS IN AN M/G/1 RETRIAL QUEUE

  • Kim, Jeongsim;Kim, Jerim
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.3
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    • pp.405-411
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    • 2014
  • Queueing systems with retrials are widely used to model many problems in call centers, telecommunication networks, and in daily life. We present a very accurate but simple approximate formula for the distribution of the number of retrying customers in the M/G/1 retrial queue.

A Three-Echelon Inventory Model for Repairable Items with Capacity Constraint (수리용량의 제한이 있는 수리가능한 부품의 3단계 재고시스템에 관한 연구)

  • 김지승
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.99-107
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    • 1997
  • We consider a multiechelon repairable-item inventory system where several bases are supported by a central depot and the external repair facilities. Unlike METRIC- based models, there are only a finite number of repair channels at each base, central depot and the external repair facilities. It is desired to find repair capacities and spares level which together guarantee a specified service level at minimum cost. Closed queueing network theory is used to model the stochastic process. The purpose of this paper is to derive the steady-state distributions of this system.

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A Single Server Queue Operating under N-Policy with a Renewal Break down Process

  • Chang-Ouk Kim;Kyung-Sik Kang
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.39
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    • pp.205-218
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    • 1996
  • 본 연구는 써버의 고장을 허용하는 단수써버 Queueing 시스템의 확률적 모델을 제시한 것으로, 써버는 N 제어 정책에 의하여 작동되며, 도착은 Stationary compound poisson에 의하여 이루어지고, 서비스 시간에 대한 분포는 Erlang에 의하여 발생하며, 수리시간에 대한 분포는 평균이 일정한 분포에 의하여 생성되는 경우를 고려하였다. 또한 고장간격 시간은 일정한 평균을 가진 임의의 분포를 가진 Renewal process에 의한다고 가정하였고, 완료 시간의 개념은 재생과정의 적용방법에 의하여 유도할 수 있으며, 시스템 크기의 확율 생성 함수의 값이 구해진다는 것을 제시하였다.

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Anti-Jamming and Time Delay Performance Analysis of Future SATURN Upgraded Military Aerial Communication Tactical Systems

  • Yang, Taeho;Lee, Kwangyull;Han, Chulhee;An, Kyeongsoo;Jang, Indong;Ahn, Seungbeom
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.9
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    • pp.3029-3042
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    • 2022
  • For over half a century, the United States (US) and its coalition military aircrafts have been using Ultra High Frequency (UHF) band analog modulation (AM) radios in ground-to-air communication and short-range air-to-air communications. Evolving from this, since 2007, the US military and the North Atlantic Treaty Organization (NATO) adopted HAVE QUICK to be used by almost all aircrafts, because it had been revealed that intercepting and jamming of former aircraft communication signals was possible, which placed a serious threat to defense systems. The second-generation Anti-jam Tactical UHF Radio for NATO (SATURN) was developed to replace HAVE QUICK systems by 2023. The NATO Standardization Agreement (STANAG) 4372 is a classified document that defines the SATURN technical and operational specifications. In preparation of this future upgrade to SATURN systems, in this paper, the SATURN technical and operational specifications are reviewed, and the network synchronization, frequency hopping, and communication setup parameters that are controlled by the Network (NET) Time, Time Of Day (TOD), Word Of Day (WOD), and Multiple Word of Day (MWOD) are described in addition to SATURN Edition 3 (ED3) and future Edition 4 (ED4) basic features. In addition, an anti-jamming performance analysis (in reference to partial band jamming and pulse jamming) and the time delay queueing model analysis are conducted based on a SATURN transmitter and receiver assumed model.

A Delay-Bandwidth Normalized Scheduling Model with Service Rate Guarantees (서비스율을 보장하는 지연시간-대역폭 정규화 스케줄링 모델)

  • Lee, Ju-Hyun;Hwang, Ho-Young;Lee, Chang-Gun;Min, Sang-Lyul
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.10
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    • pp.529-538
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    • 2007
  • Fair Queueing algorithms based on Generalized Processor Sharing (GPS) not only guarantee sessions with service rate and delay, but also provide sessions with instantaneous fair sharing. This fair sharing distributes server capacity to currently backlogged sessions in proportion to their weights without regard to the amount of service that the sessions received in the past. From a long-term perspective, the instantaneous fair sharing leads to a different quality of service in terms of delay and bandwidth to sessions with the same weight depending on their traffic pattern. To minimize such long-term unfairness, we propose a delay-bandwidth normalization model that defines the concept of value of service (VoS) from the aspect of both delay and bandwidth. A model and a packet-by-packet scheduling algorithm are proposed to realize the VoS concept. Performance comparisons between the proposed algorithm and algorithms based on fair queueing and service curve show that the proposed algorithm provides better long-term fairness among sessions and that is more adaptive to dynamic traffic characteristics without compromising its service rate and delay guarantees.

The Impact of Demand Variability in Production-Inventory Systems (생산-재고시스템에서 수요의 변동이 미치는 영향)

  • Kim, Joon-Seok
    • Journal of Korean Society for Quality Management
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    • v.36 no.3
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    • pp.102-111
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    • 2008
  • 본 연구에서는 공급리드타임이 한정된 용량을 가진 생산시스템에 의해서 내부적으로 결정되어지는 다품종 재고시스템에서의 제품의 수요변동이 미치는 영향을 조사하였다. 공급리드타임이 시스템의 외부에서 결정되어 주어지는 경우와는 달리 리드타임 수요의 변동이 제품 수요의 변동이 증가할 때 실제 감소하는 결과를 보였다. 또한, 수요의 변동이 증가할 때 전체 재고 중 안전재고의 비율이 감소되는 것도 보였다. 더 나아가서 수요 변동의 크기가 어느 정도 이상으로 커지면 안전재고가 완전히 제거되는 사실도 입증하였다. 이 같은 결과는 제품수요의 변동이 매우 클 때 리드타임 수요의 변동을 줄이기 위한 전략은 별로 효용이 없음을 보여준다.

The (S -1 , S) Inventory Model with Drder Size Dependent Dilivery Times

  • Kang, SukHo;Park, Jeonghun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.12 no.1
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    • pp.1-9
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    • 1987
  • This paper considers (S -1, S) inventory models which have wide applications in reparable spare parts inventory systems and multi-echelon systems. We assume a discrete compounds Poisson demand and order size dependent delivery times ; when the replenishment order size is n, we assume the delivery time distribution is arbitrary with finite mean $b_{n}$ . On the basis of the fact the outstanding orders follow a certain queueing process, we introduce the results of Fakinos (1982). We develop the efficient recursive formulae to find the optimal $S^{*}$ under several performance measures as a function of the decision variable S. The results of this paper can be applied to the multi-echelon systems such as MEETRIC.C.

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