• Title/Summary/Keyword: Queue Length Distribution

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Asymptotic distribution of estimator in INAR(1) process with negative binomial marginal (주변분포가 음이항 분포를 따르는 INAR(1)모형에서 추정량의 점근분포)

  • 김희영;박유성
    • The Korean Journal of Applied Statistics
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    • v.9 no.1
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    • pp.111-124
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    • 1996
  • In this paper, we consider the first-order integer valued autoregressive(INAR(1)) model where correlation structure is similar to that of the continuous valued AR(1) process. Several methods for estimating the parameters of the INAR(1) process with negative binomial marginal are discussed. We derive asymptotic distributions of these estimators. The results of a simulation study for these estimators methods show that the estimator which we present in this paper is better than the estimator which Klimko and Nelson(1978) presented. As an application we considered the estimator of M/M/1 queue length.

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Performance analysis of packet transmission for a Signal Flow Graph based time-varying channel over a Wireless Network (무선 네트워크 time-varying 채널 상에서 Signal Flow Graph를 이용한 패킷 전송 성능 분석)

  • Kim, Sang-Yang;Park, Hong-Seong
    • Proceedings of the KIEE Conference
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    • 2004.05a
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    • pp.65-67
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    • 2004
  • Change of state of Channel between two wireless terminals which is caused by noise and multiple environmental conditions for happens frequently from the Wireles Network. So, When it is like that planning a wireless network protocol or performance analysis, it follows to change of state of time-varying channel and packet the analysis against a transmission efficiency is necessary. In this paper, analyzes transmission time of a packet and a packet in a time-varying and packet based Wireless Network. To reflecte the feature of the time-varying channel, we use a Signal Flow Graph model. From the model the mean of transmission time and the mean of queue length of the packet are analyzed in terms of the packet distribution function, the packet transmission service time, and the PER of the time-varying channel.

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An Approximate algorithm for the analysis of the n heterogeneous IBP/D/l queuing model (다수의 이질적 IBP/D/1큐잉 모형의 분석을 위한 근사 알고리즘)

  • 홍석원
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.3
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    • pp.549-555
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    • 2000
  • We propose an approximate algorithm to analyze the queuing system with n bursty and heterogeneous arrival processes. Each input process is modeled by Interrupted Bernoulli Process(IBP). We approximate N arrival processes by a single state variable and subsequently simplify the transition probability matrix of the Markov chain associated with these N arrival processes. Using this single state variable of arrival processes, we describe the state of the queuing system and analyze the system numerically with the reduced transition probability matrix. We compute the queue length distribution, the delay distribution, and the loss probability. Comparisons with simulation data show that the approximation algorithm has a good accuracy.

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A Linear System Approach to Serving Gaussian Traffic in Packet-Switching Networks (패킷 교환망에서 가우스 분포 트래픽을 서비스하는 선형 시스템 접근법)

  • Chong, Song;Shin, Min-Su;Chong, Hyun-Hee
    • Journal of KIISE:Information Networking
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    • v.29 no.5
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    • pp.553-561
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    • 2002
  • We present a novel service discipline, called linear service discipline, to serve multiple QoS queues sharing a resource and analyze its properties. The linear server makes the output traffic and the queueing dynamics of individual queues as a linear function of its input traffic. In particular, if input traffic is Gaussian, the distributions of queue length and output traffic are also Gaussian with their mean and variance being a function of input mean and input power spectrum (equivalently, autocorrelation function of input). Important QoS measures including buffer overflow probability and queueing delay distribution are also expressed as a function of input mean and input power spectrum. This study explores a new direction for network-wide traffic management based on linear system theories by letting us view the queueing process at each node as a linear filter.

Emerging P2P Traffic Analysis and Modeling (P2P 트래픽의 특성 분석과 트래픽 모델링)

  • 주성돈;이채우
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.2B
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    • pp.279-288
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    • 2004
  • Rapidly emerging P2P(Peer to Peer) applications generate very bursty traffic, which gives a lot of burden to network, and the amount of such traffic is increasing rapidly. Thus it is becoming more important to understand the characteristics of such traffic and reflect it when we design and analyze the network. To do that we measured the traffic in a campus network and present flow statistics and traffic models of the measured traffic, and compare them with those of the web traffic. The results indicate that P2P traffic is much burstier than web traffic and as a result it negatively affects network performance. We modeled P2P traffic using self-similar traffic model to predict packet delay and loss occurred in network which are very important to evaluate network performance. We also predict queue length distribution and loss probability in SSQ(Single Sewer Queue). To assess accuracy of traffic model, we compare the SSQ statistics of traffic models with that of the traffic trace. The results show that self-similar traffic models we use can predict P2P traffic behavior in network precisely. It is expected that the traffic models we derived can be used when we design network capacity and predict network performance and QoS of the P2P applications.

The Design and Implementation of the Shuttle Protocol for Gathering Management Information Periodically (주기성을 갖는 네트워크 관리 정보 수집을 위한 셔틀 프로토콜의 설계 및 구현)

  • Gang, Hyeon-Jung;Lee, Sang-Il;Jeong, Jin-Uk
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.6
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    • pp.879-890
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    • 1995
  • This paper proposes the shuttle protocol that can gather management information from managed systems in an efficient way. In this paper, we implement the protocol and evaluate the performance by simulation. The major feature of the shuttle protocol is a chained logical connection through managed systems, and management informations to be collected are circulated among specified managed systems in circular order on a logical ring connection. The data generated by an managed system are relayed to a neighbor managed system and the system sends its data which has additional management information to received data. Finally, a manager stationman get all of data generated by every managed system. we will show the analysis of management traffic patterns using conventional polling schemes and the shuttle protocol implementation viable to TCP/IP network and improving existing polling mechansims. Additionally, it is performed to evaluate the packet processing time and its distribution of a manager system and a gateway, and the queue length of packet and bit length of gateway against conventional polling schemes by simulation using OPNRT, a simulation-dedicated package.

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A Construction and Operation Analysis of Group Management Network about Control Devices based on CIM Level 3 (CIM 계층 3에서 제어 기기들의 그룹 관리 네트워크 구축과 운영 해석)

  • 김정호
    • The Journal of Society for e-Business Studies
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    • v.4 no.1
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    • pp.87-101
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    • 1999
  • To operate the automatic devices of manufacturing process more effectively and to solve the needs of the resource sharing, network technology is applied to the control devices located in common manufacturing zone and operated by connecting them. In this paper, functional standard of the network layers are set as physical and data link layer of IEEE 802.2, 802.4, and VMD application layer and ISO-CIM reference model. Then, they are divided as minimized architecture, designed as group objects which perform group management and service objects which organizes and operates the group. For the stability in this network, this paper measures the variation of data packet length and node number and analyzes the variated value of the waiting time for the network operation. For the method of the analysis, non-exhausted service method are selected, and the arrival rates of the each data packet to the nodes that are assumed to form a Poission distribution. Then, queue model is set as M/G/1, and the analysis equation for waiting time is found. For the evalution of the performance, the length of the data packet varies from 10 bytes to 100 bytes in the operation of the group management network, the variation of the wating time is less than 10 msec. Since the waiting time in this case is less than 10 msec, response time is fast enough. Furthermore, to evaluate the real time processing of the group management network, it shows if the number of nodes is less than 40, and the average arrival time is less than 40 packet/sec, it can perform stable operation even taking the overhead such as software delay time, indicated packet service, and transmissin safety margin.

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FPGA Implementation of a Grant Distribution Algorithm for the MAC in the ATM-PON (ATM-PON에서 MAC을 위한 승인분배 알고리즘의 FPGA 구현)

  • Kim, Tae-Min;Chung, Hae;Shin, Gun-Soon;Kim, Jin-Hee
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.10
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    • pp.1-9
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    • 2001
  • The MAC (Medium Access Control) protocol is needed for the OLT(Optical Line Termination) to allocate bandwidth to ONUs(Optical Network Units) and ONTs(Optical Network Terminations) dynamically in the ATM PON(Passive Optical Network). With the protocol, the OLT gathers ONUs' informations and provides grants efficiently to each ONU. Two important functions of the MAC protocol is the grant request procedure and the grant distribution algrithm. The latter has the greatest arithmetic portion in the TC(Transmission Convergence) module, occupies a relatively large portion of the overall chip area, has often been the limiting factor in terms of speed, and should be designed to guarantee the quality of service for various traffics. In this paper, we implement the MAC with the FPGA which can allocate grants dynamically according to the queue length information and the number of active ONUs and distribute grants uniformly to minimize the cell delay variation for each ONU. The structure of the MAC scheduler for the dynamic bandwidth assignment has a programmable look-up table. Also, it has a simple structure, the less chip area, and the lower delay time.

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Design and Analsis of a high speed switching system with two priority (두개의 우선 순위를 가지는 고속 스윗칭 시스템의 설계 및 성능 분석)

  • Hong, Yo-Hun;Choe, Jin-Sik;Jeon, Mun-Seok
    • The KIPS Transactions:PartC
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    • v.8C no.6
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    • pp.793-805
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    • 2001
  • In the recent priority system, high-priority packet will be served first and low-priority packet will be served when there isn\`t any high-priority packet in the system. By the way, even high-priority packet can be blocked by HOL (Head of Line) contention in the input queueing System. Therefore, the whole switching performance can be improved by serving low-priority packet even though high-priority packet is blocked. In this paper, we study the performance of preemptive priority in an input queueing switch for high speed switch system. The analysis of this switching system is taken into account of the influence of priority scheduling and the window scheme for head-of-line contention. We derive queue length distribution, delay and maximum throughput for the switching system based on these control schemes. Because of the service dependencies between inputs, an exact analysis of this switching system is intractable. Consequently, we provide an approximate analysis based on some independence assumption and the flow conservation rule. We use an equivalent queueing system to estimate the service capability seen by each input. In case of the preemptive priority policy without considering a window scheme, we extend the approximation technique used by Chen and Guerin [1] to obtain more accurate results. Moreover, we also propose newly a window scheme that is appropriate for the preemptive priority switching system in view of implementation and operation. It can improve the total system throughput and delay performance of low priority packets. We also analyze this window scheme using an equivalent queueing system and compare the performance results with that without the window scheme. Numerical results are compared with simulations.

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