• Title/Summary/Keyword: queueing system

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An Analysis of the Port Transportation System (항만운송시스템의 분석에 관한 연구)

  • 이철영;문성혁
    • Journal of the Korean Institute of Navigation
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    • v.7 no.1
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    • pp.1-32
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    • 1983
  • The delay due to congestion has recently attracted widespread attention with the analysis of over-all operation at the port. But, the complexity of the situation is evident in view of the large number of factors which impinge on the considerable end. Queueing theory is applicable to a large scale transportation system which is associated with arrivals of vessels in a large port. The attempt of this paper is to make an extensive analysis of the port transport system and its economic implications from the viewpoint that port is one of the physical distribution facilities and a kind of queueing system which includes ships and cargoes as port customer. By analyzing the real data on the Port of Pusan, it is known that this port can be represented as a set of multi-channel with identical setof Poisson arrival and Erlang service time, and also it is confirmed that the following formula is suitable to calculate the mean delay in this port, namely, $W_4={\frac{\rho}{\lambda(1-\rho)} {\frac{e_N(\rho{\cdot}N)}{D_{N-1}(\rho{\cdot}N)}$ where, ${\lambda}$: mean arrival rate $\mu$: mean servicing rate; N: number of servicing channel; ${\rho}$: utillization rate (${\lambda}/N{\mu}$) $e_N$: the Poisson function Coming to grips with the essentials of the cost of delay due to congestion, a simple ship journey cost model is adopted and the operating profit sensitivity to variation in port time is examined, and for purpose of a future development for port princing service the marginal cost is approximately calculated on the basis of queueing theory.

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Space and Time Priority Queues with Randomized Push-Out Scheme (확률적 밀어내기 정책을 가지는 공간-시간 우선순위 대기행렬)

  • Kilhwan Kim
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.2
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    • pp.57-71
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    • 2023
  • In this study, we analyze a finite-buffer M/G/1 queueing model with randomized pushout space priority and nonpreemptive time priority. Space and time priority queueing models have been extensively studied to analyze the performance of communication systems serving different types of traffic simultaneously: one type is sensitive to packet delay, and the other is sensitive to packet loss. However, these models have limitations. Some models assume that packet transmission times follow exponential distributions, which is not always realistic. Other models use general distributions for packet transmission times, but their space priority rules are too rigid, making it difficult to fine-tune service performance for different types of traffic. Our proposed model addresses these limitations and is more suitable for analyzing communication systems that handle different types of traffic with general packet length distributions. For the proposed queueing model, we first derive the distribution of the number of packets in the system when the transmission of each packet is completed, and we then obtain packet loss probabilities and the expected number of packets for each type of traffic. We also present a numerical example to explore the effect of a system parameter, the pushout probability, on system performance for different packet transmission time distributions.

A Video Traffic Model based on the Shifting-Level Process (Part I : Modeling and the Effects of SRD and LRD on Queueing Behavior) (Shifting-Level Process에 기반한 영상트래픽 모델 (1부: 모델링과 대기체계 영향 분석))

  • 안희준;강상혁;김재균
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.10B
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    • pp.1971-1978
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    • 1999
  • In this paper, we study the effects of long-range dependence (LRD) in VBR video traffic on queueing system. This paper consists of Part I and II. In Part I, we present a (LRD) video traffic model based on the shifting-level (SL) process. We observe that the ACF of an empirical video trace is accurately captured by the shifting-level process with compound correlation (SLCC): an exponential function in short range and a hyperbolic function in long range. We present an accurate parameter matching algorithm for video traffic. In the Part II, we offer the queueing analysis of SL/D/1/K called ‘quantization reduction method’. Comparing the queueing performances of the DAR(1) model and the SLCC with that of a real video trace, we identify the effects of SRD and LRD in VBR video traffic on queueing performance. Simulation results show that Markoivian models can estimate network performances fairly accurately under a moderate traffic load and buffer condition, whereas LRD may have a significant effect on queueing behavior under a heavy traffic load and large buffer condition.

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A diffusion approximation for time-dependent queue size distribution for M/G/m/N system

  • Park, Bong-Dae;Shin, Yang-Woo
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.211-236
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    • 1995
  • The purpose of this paper is to provide a transient diffusion approximation of queue size distribution for M/G/m/N system. The M/G/m/N system can be expressed as follows. The interarrival times of customers are exponential and the service times of customers have general distribution. The system can hold at most a total of N customers (including the customers in service) and any further arriving customers will be refused entry to the system and will depart immediately without service. The queueing system with finite capacity is more practical model than queueing system with infinite capacity. For example, in the design of a computer system one of the important problems is how much capacity is required for a buffer memory. It its capacity is too little, then overflow of customers (jobs) occurs frequently in heavy traffic and the performance of system deteriorates rapidly. On the other hand, if its capacity is too large, then most buffer memories remain unused.

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An Application of a Jackson Network for Waiting Time Reduction at the Emergency Care Center (잭슨 네트워크를 이용한 응급실의 대기 시간 단축 연구)

  • Kim, Su-Mi;Seo, Hee-Yeon;Lee, Jun-Ho;Kwon, Yong-Kap;Kim, Seong-Moon;Park, In-Cheol;Kim, Seung-Ho;Lee, Young-Hoon
    • Korean Management Science Review
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    • v.27 no.1
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    • pp.17-31
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    • 2010
  • Patients entering an emergency care center in a hospital usually visit medical processes in different orders depending on the urgency level and the medical treatments required. We formulate the patient flows among diverse processes in an emergency care center using the Jackson network, which is one of the queueing networks, in order to evaluate the system performances such as the expected queue length and the expected waiting time. We present a case study based on actual data collected from an emergency care center in a hospital, in order to prove the validity of applying the Jackson network model in practice. After assessing the current system performances, we provide operational strategies to reduce waiting at the bottleneck processes and evaluate the impact of those strategies on the entire system.

A Study on the Optimal Appointment Scheduling for the Ship Maintenance with Queueing System with Scheduled Arrivals (예약도착 대기행렬을 활용한 함정정비 최적 예약시간 산정에 관한 연구)

  • Ko, Jae-Woo;Kim, Gak-Gyu;Yun, Bong-Kyu
    • Journal of the Korean Operations Research and Management Science Society
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    • v.38 no.3
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    • pp.13-22
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    • 2013
  • Queueing system with scheduled arrivals is useful in many fields where both customers' waiting time and servers' operation time (utilization) are important, and arrival time of customers is possible to be controlled. In this paper, we analyzed the operation of ship maintenance with the queueing system with scheduled arrival. Based on the model presented by Pegden and Rosenshine [8], who dealt with exponential service time, we extended the service time distributions to phase-type distribution which is able to include a wide range of real stochastic phenomena. Since most activities in the military are carried out under tight control and schedule, scheduled arrival queue has quite good applicability in this area. In this context, we applied queue with scheduled arrival to the optimal booking time decision for the ship maintenance in the navy.

The study on the maritime traffic detection system using computer vision (컴퓨터비젼을 이용한 해상교통 검지기 시스템에 대한 연구)

  • 박상문;주기세
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.05a
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    • pp.174-178
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    • 1999
  • Recently, the computer vision has been applied to many automation fields. Especially, this paper presents a maritime traffic detection system using computer vision since the high level information can be obtained using obtained area information. The high level informations are obtained such as speed, queueing length, queueing time, ship size, and ship kind. To get ship speed, the two detection lines are set on the predetermined screen position. The speed is obtained the passing time and the predetermined distance between the first and second detection line on the screen. Also, queueing length and time are gotten using screen position of ship. Furthermore, the size and kind of ship are calculated using the ship database and camera calibration data. This developed system contributes to reduce the traffic accidents on the coast. Futhermore, the more information can be extracted using obtained area information.

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A study on the Design and the Performance Analysis of Radar Data Integrating Systems for a Early Warning System (조기경보 체제를 위한 통합 레이다 정보처리 시스템의 설계 및 성능분석에 관한 연구)

  • 이상웅;라극환;조동래
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.11
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    • pp.25-39
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    • 1992
  • Due to the data processing development by the computer, the early warning system recently has made a remarkable evolution in its functions and performance as a component of the communication and control system which is also supported by the computer communication and intelligence system. In this paper it is presented that a integrated data processing system is designed to integrate the information sent from the various radar systems which constitute an early warning system. The suggested system model of this paper is devided into two types of structures, the centralized model and the distributed model, according to the data processing algorithm. We apply the queueing theory to analyse the performance of the designed models and the OPNET system kernel to make the analysing program with C language. From the analysis of the queueing components by applying the analysis programs to the designed systems, we got the tendancies and characteristics of both models, that is, a fast data processing performance of the distributed model and a stable data processing capability of the centralized model.

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A Closed Queueing Network Model for the Performance Evaluation of the Multi-Echelon Repair System (다단계 수리체계의 성능평가를 위한 폐쇄형 대기행렬 네트워크 모형)

  • 박찬우;김창곤;이효성
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.4
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    • pp.27-44
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    • 2000
  • In this study we consider a spares provisioning problem for repairable items in which a parts inventory system is incorporated. If a machine fails, a replacement part must be obtained at the parts inventory system before the failed machine enters the repair center. The inventory policy adopted at the parts inventory system is the (S, Q) policy. Operating times of the machine before failure, ordering lead times and repair times are assumed to follow a two-stage Coxian distribution. For this system, we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of machines at each station and the probability that a part will wait at the parts inventory system. For the analysis of the proposed system, we model the system as a closed queueing network and analyze it using a product-form approximation method. A recursive technique as well as an iterative procedure is used to analyze the sub-network. Numerical tests show that the approximation method provides fairly good estimation of the performance measures of interest.

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Excess Bandwidth Hierarchical Fair Queueing Using Excess Bandwidth Consumer Queue (잉여 대역폭 소비 큐를 이용한 계층적 잉여 대역폭 페어 큐잉)

  • 김영한;추호철
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.12
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    • pp.1-8
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    • 2003
  • Scheduling technology is one of the most important elements required to support the Quality of service (QoS) in the Internet and a lot of scheduling algorithms have been developed. However, most of these algorithms ire not flexible to distribute the excess bandwidth. In order to provide flexibility for distributing the excess bandwidth, we proposed excess bandwidth fair queueing (EBFQ) algorithm with relatively low complexity. In this paper, we propose the new extension to this EBFQ algorithm for the hierarchical fair queueing system. This extension can be naturally applied to the existing hierarchical algorithm and simultaneously provide the same level of fairness. Through the simulation and analysis, we verify it.