• Title/Summary/Keyword: Markov chain 1

Search Result 304, Processing Time 0.025 seconds

Performance Evaluation of a Cell Reassembly Mechanism with Individual Buffering in an ATM Switching System

  • Park, Gwang-Man;Kang, Sung-Yeol;Han, Chi-Moon
    • ETRI Journal
    • /
    • v.17 no.1
    • /
    • pp.23-36
    • /
    • 1995
  • We present a performance evaluation model of cell reassembly mechanism in an ATM switching system. An ATM switching system may be designed so that communications between processors of its control part can be performed via its switching network rather than a separate inter-processor communications network. In such a system, there should be interface to convert inter-processor communication traffic from message format to cell format and vice versa, that is, mechanisms to perform the segmentation and reassembly sublayer. In this paper, we employ a continuous-time Markov chain for the performance evaluation model of cell reassembly mechanism with individual buffering, judicially defining the states of the mechanism. Performance measures such as message loss probability and average reassembly delay are obtained in closed forms. Some numerical illustrations are given for the performance analysis and dimensioning of the cell reassembly mechanism.

  • PDF

A Study on the Resizable Target Size Estimation Method for Imaging Target Tracking (재설정 가능한 표적 크기 추정 알고리즘 연구)

  • Jung, Yun Sik;Rho, Shin Baek
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.20 no.8
    • /
    • pp.842-848
    • /
    • 2014
  • In this paper, an improved method RMBE (Resizable Model Based target size Estimator) is presented for SDIIR (Strap Down Imaging Infrared) seekers. At the target engaging scenario, the IIR target measurement is separated by various parts. In this case, target object changing is important to accurate target intercept. Therefore, we need robust target size estimator. Our proposed method resize estimated target size with MC-1 (Markov Chain I) for accurate target size estimation. The performance of proposed method is tested at IIR target tracking of target intercept scenario. The experiment results show that the proposed RMBE has improved performance than MBE.

Performance Analysis of a Finite-Buffer Discrete-Time Queueing System with Fixed-Sized Bulk-service

  • Chang, Seok-Ho;Kim, Tae-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.28 no.9B
    • /
    • pp.783-792
    • /
    • 2003
  • We consider a finite-buffer discrete-time queueing system with fixed-size bulk-service discipline: Geo/ $G^{B}$1/K+B. The main purpose of this paper is to present a performance analysis of this system that has a wide range of applications in Asynchronous Transfer Mode (ATM) and other related telecommunication systems. For this purpose, we first derive the departure-epoch probabilities based on the embedded Markov chain method. Next, based on simple rate in and rate out argument, we present stable relationships for the steady-state probabilities of the queue length at different epochs: departure, random, and arrival. Finally, based on these relationships, we present various useful performance measures of interest such as the moments of number of packets in the system at three different epochs and the loss probability. The numerical results are presented for a deterministic service-time distribution - a case that has gained importance in recent years.s.

Call Blocking Probabilities of Dynamic Routing Algorithms in B-ISDN Networks

  • Bahk, Sae-woong;Kim, Joon-hwan
    • Journal of Electrical Engineering and information Science
    • /
    • v.3 no.1
    • /
    • pp.21-27
    • /
    • 1998
  • In this paper we apply routing algorithms in circuit switched networks to B-ISDN networks and investigate the performance. B-ISDN supports a wide range of services with hetrogeneous bandwidth requirements. We assume that the network supports D classes of traffic. It is modeled as a finite D dimensional Markov chain. A call is blocked on arrival if the required bandwidth is not available on the route. The shortest path routing, alternate routing and trunk reservation are considered for performance comparison. We also consider trunk reservation with restricted access control where the network reserves certain amount of bandwidths for one class of traffic that assumes a higher transmission priority. Through the method of successive iterations, we obtain the steady state equilibrium probabilities and call blocking probabilities for dynamic routing. The results can be used to design a B-ISDN network that improves network connection availability and efficiency while simultaneously reducing the network costs.

  • PDF

The Performance Comparison for the Contention Resolution Policies of the Input-buffered Crosspoint Packet Switch

  • Paik, Jung-Hoon;Lim, Chae-Tak
    • Journal of Electrical Engineering and information Science
    • /
    • v.3 no.1
    • /
    • pp.28-35
    • /
    • 1998
  • In this paper, an NxN input-buffered crosspoint packet switch which selects a Head of the Line, HOL, packet in contention randomly is analyzed with a new approach. The approach is based on both a Markov chain representation of the input buffer and the probability that a HOL packet is successfully served. The probability as a function of N is derived, and it makes it possible to express the average packet delay and the average number of packets in the buffer as a function of N. The contention resolution policy based on the occupancy of the input buffer is also presented and analyzed with this same approach and the relationship between two selection policies is analyzed in terms of the occupancy of the input buffer.

  • PDF

Simulating phase transition phenomena of the unitary cell model

  • Kim, Dong-Hoh
    • Journal of the Korean Data and Information Science Society
    • /
    • v.20 no.1
    • /
    • pp.225-235
    • /
    • 2009
  • Lattice process models are used to explain phase transitions in statistical mechanics, a branch of physics. The Ising model, a specific form of lattice process model, was proposed by Ising in 1925. Since then, variants of the Ising model such as the Potts model and the unitary cell model have been proposed. Like the Ising model, it is believed that the more general models exhibit phase transitions on the critical surface, which is based on the mathematical equation. In statistical sense, phase transitions can be simulated through Markov Chain Monte Carlo (MCMC). We applied Swendsen-Wang algorithm, a block Gibbs algorithm, to a general lattice process models and we simulate phase transition phenomena of the unitary cell model.

  • PDF

Understanding reionization and cosmic dawn with galaxies and 21-cm

  • Park, Jaehong;Mesinger, Andrei;Greig, Bradley
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.43 no.1
    • /
    • pp.38.3-38.3
    • /
    • 2018
  • The properties of unseen high-redshift sources (and sinks) are encoded in the 3D structure of the cosmic 21-cm signal. Here I introduce a flexible parametrization for high-z galaxies' properties, including their star formation rates, ionizing escape fraction and their evolution with the mass of the host dark matter halos. With this parametrization, I self-consistently calculate the corresponding 21-cm signal during reionization and the cosmic dawn. Using a Monte Carlo Markov Chain sampler of 3D simulations, 21CMMC, I demonstrate how combining high-z luminosity functions with a mock 21-cm signal can break degeneracies, resulting in ~ percent level constraints on early universe astrophysics.

  • PDF

A Probabilistic Model for the Comparison of Various ATM Switching System (ATM교환 시스템의 성능 분석을 위한 확률 모형)

  • Kim, J.S.;Yoon, B.S.;Lie, C.H.
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.19 no.1
    • /
    • pp.47-59
    • /
    • 1993
  • Recently, Broadband ISDN(B-ISDN) has received increased attention as a communication architecture which can support multimedia applications. Also, Asynchronous Transfer Mode(ATM) is considered as a promising technique to transfer and switch various kinds of media, such as telephone speech, data and motion video. Comparisons among a variety of ATM switching systems which have already been proposed will provide quite useful information for the new ATM switching system design. To facilitate the comparison, we introduce the design requirements and classification criteria for the ATM switch, and propose a performance analysis model for the Banyan network which is the basic switching fabric of most multi-stage ATM switching systems. The model is based on the standard discrete-time Markov chain analysis and can be conveniently used for extensive Banyan network analysis. The computational results are also presented.

  • PDF

BAYESIAN MODEL AVERAGING FOR HETEROGENEOUS FRAILTY

  • Chang, Il-Sung;Lim, Jo-Han
    • Journal of the Korean Statistical Society
    • /
    • v.36 no.1
    • /
    • pp.129-148
    • /
    • 2007
  • Frailty estimates from the proportional hazards frailty model often lead us to conjecture the heterogeneity in frailty such that the variance of the frailty varies over different covariate groups (e.g. male group versus female group). For such systematic heterogeneity in frailty, we consider a regression model for the variance components in the proportional hazards frailty model, denoted by the MLFM. However, in many cases, the observed data do not show any statistically significant preference between the homogeneous frailty model and the heterogeneous frailty model. In this paper, we propose a Bayesian model averaging procedure with the reversible jump Markov chain Monte Carlo which selects the appropriate model automatically. The resulting regression coefficient estimate ignores the model uncertainty from the frailty distribution in view of Bayesian model averaging (Hoeting et al., 1999). Finally, the proposed model and the estimation procedure are illustrated through the analysis of the kidney infection data in McGilchrist and Aisbett (1991) and a simulation study is implemented.

BMAP/PH/N Queueing Model with Retrial and Losses (재시도와 손실을 고려한 BMAP/PH/N 대기모형 분석)

  • Kim, Che-Soong
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.29 no.1
    • /
    • pp.41-46
    • /
    • 2006
  • 본 논문에서는 재시도와 완전입력 규칙을 갖는 BMAP/PH/N/0 대기시스템에 대한 주요 성능평가척도와 시스템의 정상상태 조건을 제시한다. 고려되는 시스템은 모든 서버가 서비스를 하고 있을 경우 도착이 이루어지는 배치도착은 모두 손실되며, 반대의 경우 도착하는 배치는 서비스를 받기 위해 시스템에 들어가게 된다. 만약 쉬고 있는 서버의 수가 불충분하여 배치의 일부가 즉각 서비스를 받을 수 없다면, 일단 오빗으로 이동하고 표준 재시도 대기 시스템의 규칙에 따라 후에 서비스를 받게 된다. 본 논문에서는 배치 마코프도착과정, 단계 서비스분포 및 유한버퍼를 갖는 다중서버 재시도 대기 시스템에 대한 수리모형을 제시한다. 제시된 시스템의 정상상태 분포 존재를 위한 충분조건을 유도하고, 이 분포를 계산하기 위한 알고리즘이 제시된다. 끝으로 완전입력규칙을 갖는 시스템에 대한 손실확률을 계산하기 위한 식이 유도하고, 수치 예제들을 제시한다.