• Title/Summary/Keyword: Two-State Markov Model

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A Study of Traffics and Priority Assignments with Markov Process in ATM Networks (ATM 네트워크에서 마코프 프로세스를 이용한 트래픽 특성과 우선권 할당에 관한 연구)

  • 이충훈;최창수;강준길
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.3
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    • pp.492-504
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    • 1994
  • In ATM network was two QOS bearer services for flexible bandwidth assignment, various priority assignment buffer access mechanisms have been sugested. In this paper, a performance model with 3 state discrete time Markov proess in explicit priority assignment is suggested and cell loss probability is analytically derived. Also flexible space priority control mechanism with partial buffer sharing is studied and verified by simulation with OPNET.

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Delay Analysis of a Message based on the Stop-and-Wait ARQ in a Time- Varying Radio Link (시변 패킷 기반 무선 링크에서 정지-대기 ARQ 기반 메시지의 지연 시간 분석)

  • 정명순;박홍성
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.9A
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    • pp.684-693
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    • 2003
  • This paper analyzes transmissiondelays of a message and a packet in a time-varying and packet-based radio link. The paper assumes that thearrivals of messages have a Bernoulli process and the lengths of the messages a exponential distribution. To reflect the feature of the time-varying radio link, we use a two-state Markov model. From the model the mean transmission delay of and the mean queue length of the packet are analyzed in terms of the packet distribution function, the packet transmission service time, and the PER of the radio link. And the mean message transmission delay time and the mean queue length are derived using the performance indices of the packet. Numerical results show that the message arrival rate and the message length have some bounds to keep the transmission of the message steady and to improve the performance indices of the message. It can be known that the PER of the state influences on the performance indices more than the sojourn time of the state.

A Novel Spectrum Access Strategy with ${\alpha}$-Retry Policy in Cognitive Radio Networks: A Queueing-Based Analysis

  • Zhao, Yuan;Jin, Shunfu;Yue, Wuyi
    • Journal of Communications and Networks
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    • v.16 no.2
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    • pp.193-201
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    • 2014
  • In cognitive radio networks, the packet transmissions of the secondary users (SUs) can be interrupted randomly by the primary users (PUs). That is to say, the PU packets have preemptive priority over the SU packets. In order to enhance the quality of service (QoS) for the SUs, we propose a spectrum access strategy with an ${\alpha}$-Retry policy. A buffer is deployed for the SU packets. An interrupted SU packet will return to the buffer with probability ${\alpha}$ for later retrial, or leave the system with probability (1-${\alpha}$). For mathematical analysis, we build a preemptive priority queue and model the spectrum access strategy with an ${\alpha}$-Retry policy as a two-dimensional discrete-time Markov chain (DTMC).We give the transition probability matrix of the Markov chain and obtain the steady-state distribution. Accordingly, we derive the formulas for the blocked rate, the forced dropping rate, the throughput and the average delay of the SU packets. With numerical results, we show the influence of the retrial probability for the strategy proposed in this paper on different performance measures. Finally, based on the trade-off between different performance measures, we construct a cost function and optimize the retrial probabilities with respect to different system parameters by employing an iterative algorithm.

Unsaturated Throughput Analysis of IEEE 802.11 DCF under Imperfect Channel Sensing

  • Shin, Soo-Young
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.4
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    • pp.989-1005
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    • 2012
  • In this paper, throughput of IEEE 802.11 carrier-sense multiple access (CSMA) with collision-avoidance (CA) protocols in non-saturated traffic conditions is presented taking into account the impact of imperfect channel sensing. The imperfect channel sensing includes both missed-detection and false alarm and their impact on the utilization of IEEE 802.11 analyzed and expressed as a closed form. To include the imperfect channel sensing at the physical layer, we modified the state transition probabilities of well-known two state Markov process model. Simulation results closely match the theoretical expressions confirming the effectiveness of the proposed model. Based on both theoretical and simulated results, the choice of the best probability detection while maintaining probability of false alarm is less than 0.5 is a key factor for maximizing utilization of IEEE 802.11.

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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Predicting the Score of a Soccer Match by Use of a Markovian Arrival Process (마코비안 도착과정을 이용한 축구경기 득점결과의 예측)

  • Kim, Nam-Ki;Park, Hyun-Min
    • IE interfaces
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    • v.24 no.4
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    • pp.323-329
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    • 2011
  • We develop a stochastic model to predict the score of a soccer match. We describe the scoring process of the soccer match as a markovian arrival process (MAP). To do this, we define a two-state underlying Markov chain, in which the two states represent the offense and defense states of the two teams to play. Then, we derive the probability vector generating function of the final scores. Numerically inverting this generating function, we obtain the desired probability distribution of the scores. Sample numerical examples are given at the end to demonstrate how to utilize this result to predict the final score of the match.

Two Statistical Models for Automatic Word Spacing of Korean Sentences (한글 문장의 자동 띄어쓰기를 위한 두 가지 통계적 모델)

  • 이도길;이상주;임희석;임해창
    • Journal of KIISE:Software and Applications
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    • v.30 no.3_4
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    • pp.358-371
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    • 2003
  • Automatic word spacing is a process of deciding correct boundaries between words in a sentence including spacing errors. It is very important to increase the readability and to communicate the accurate meaning of text to the reader. The previous statistical approaches for automatic word spacing do not consider the previous spacing state, and thus can not help estimating inaccurate probabilities. In this paper, we propose two statistical word spacing models which can solve the problem of the previous statistical approaches. The proposed models are based on the observation that the automatic word spacing is regarded as a classification problem such as the POS tagging. The models can consider broader context and estimate more accurate probabilities by generalizing hidden Markov models. We have experimented the proposed models under a wide range of experimental conditions in order to compare them with the current state of the art, and also provided detailed error analysis of our models. The experimental results show that the proposed models have a syllable-unit accuracy of 98.33% and Eojeol-unit precision of 93.06% by the evaluation method considering compound nouns.

Estimate of First-Passage Probability for Hazard Fluctuating Wind Velocity (재난 변동풍속의 최초파괴확률 평가)

  • Oh, Jong Seop;Heo, Seong Je
    • Journal of Korean Society of Disaster and Security
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    • v.6 no.2
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    • pp.23-30
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    • 2013
  • A dynamic analysis of random vibration processes is concerned with the first excursion probability based on first passage time during some specified lifetime or duration of the excitation. This study is concerned with the estimation of first-passage probability for hazard fluctuate wind velocity in the major cities reflecting the recent meteorological with largest data samples (yearly 2003-2012). The basic wind speeds were standardized homogeneously to the surface roughness category C, and to 10m above the ground surface. In this paper, the hazard fluctuate wind velocities are treated as a time-independent (stationary) random process and Gaussian random processes. The first excursion probability were calculated from Poisson model based on the independent event of level crossing & two-state Markov model based on the envelopes of level crossing.

A New Distance Measure for a Variable-Sized Acoustic Model Based on MDL Technique

  • Cho, Hoon-Young;Kim, Sang-Hun
    • ETRI Journal
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    • v.32 no.5
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    • pp.795-800
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    • 2010
  • Embedding a large vocabulary speech recognition system in mobile devices requires a reduced acoustic model obtained by eliminating redundant model parameters. In conventional optimization methods based on the minimum description length (MDL) criterion, a binary Gaussian tree is built at each state of a hidden Markov model by iteratively finding and merging similar mixture components. An optimal subset of the tree nodes is then selected to generate a downsized acoustic model. To obtain a better binary Gaussian tree by improving the process of finding the most similar Gaussian components, this paper proposes a new distance measure that exploits the difference in likelihood values for cases before and after two components are combined. The mixture weight of Gaussian components is also introduced in the component merging step. Experimental results show that the proposed method outperforms MDL-based optimization using either a Kullback-Leibler (KL) divergence or weighted KL divergence measure. The proposed method could also reduce the acoustic model size by 50% with less than a 1.5% increase in error rate compared to a baseline system.

Reliability analysis of multi-state parallel system with a multi-functional standby component (다기능 대기부품을 갖는 다중상태 병렬시스템의 신뢰도 분석)

  • Kim, Dong-Hyeon;Lee, Suk-Hoon;Lim, Jae-Hak
    • Journal of Korea Society of Industrial Information Systems
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    • v.20 no.4
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    • pp.75-87
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    • 2015
  • A redundant structure typically consists of primary component and standby component taking over the function of the primary component when the primary component fails. In this research, we consider a redundant structure in which a standby component can take over the function of more than one primary component when primary components fail. And we assume that the system has multi-state according to the states of components while all components have two states. This system is called as the multi-state redundant system with a multi-functional standby component. This type of redundant structure is frequently adapted by the system such as an aircraft in which the weight is an important design factor. In this paper, we propose new reliability model for this multi-state redundant system with a multi-functional standby component in order for evaluating the reliability of the system. Under the assumption that all components have constant failure rate, we evaluate the reliability of the system by applying Markov analysis method. And we investigate the effect of the multi-functional standby component by comparing reliabilities of the parallel system with multi-functional standby component and a simple parallel system and a parallel system with redundant structure.