• Title/Summary/Keyword: Poisson arrival

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Stochastic Model for Telecommunication Service Availability (통신 서비스 가용도의 추계적 모델)

  • Ham, Young-Marn;Lee, Kang-Won
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.1B
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    • pp.50-58
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    • 2012
  • The objective of this study is to develop the theoretical model of the telecommunication system service availability from the user perspective. We assume non-homogeneous Poisson process for the call arrival process and continuous time Markov chain for the system state. The proposed model effectively describes the user model of the user-perceived service reliability by including the time-varying call arrival rate. We also include the operational failure state where the user cannot receive any service even though the system is functioning.

A Study on the 2-D distribution of Dynamic Poisson's Ratio using 3-C Geophones (3성분 지오폰을 이용한 동포아송비의 2차원 분포 연구)

  • Hong, Myung-Ho;Hwang, Yoon-Gu;Cho, Cheol-Hee;Lee, Yoon-Jung;Kim, Ki-Young
    • 한국지구물리탐사학회:학술대회논문집
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    • 2005.05a
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    • pp.223-226
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    • 2005
  • In order to acquire 3 components data which has the good signal to noise ratio with only one shot, 3-C geophones were used, As a result, the vertical component showed the distinct first arrival of P-wave, and the horizontal component was improved the signal to noise ratio of S-wave, while was attenuated P-wave. The 2-D Poisson's ratio section was computed from P- and S-wave cell velocities included velocity tomograms of the P- and S-waves. The Poisson's ratio values were computed in the range of $0.2{\~}0.3$. With one shot, we can obtain 2-D distribution of dynamic Poisson's ratio as well as velocity tomograms of P- and S-waves.

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Modeling and Evaluation of Wireless Communication System using CSMA inthe Distributed Packet Radio Network (분산 무선망에서 CSMA를 사용한 무선 통신 시스템의 모델링 및 성능 분석)

  • 조병록;최형진;박병철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.10
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    • pp.1508-1517
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    • 1993
  • In this paper, we propose the modeling of a wireless communication system using CSMA protocol, present analytical evalution and simulation as a function of arrival rate and mean END-to-END delay in the distributed packet radio network. Asynchronous 1-persistent CSMA protocol is used in wireless communication system with half duplex. We assume that all terminals are to be in the close range of each other, suitably located in the local area. The traffic presented to a common channel is assumed to be poisson distribution. Analytical model is based on a M/D/1 with breakdown. In conclusion for wireless network model proposed in this paper is suitable for packet arrival rate of 2 packet/sec with mean packet delay time less than 2 times the packet transmission time.

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GENERAL FORMULAS OF SOME VACATION MODELS

  • Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.389-393
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    • 2008
  • This paper describes a single-server queue where the server is unavailable during some intervals of time, which is referred to as vacations. The major contribution of this work is to derive general formulas for the additional delay in the vacation models of the single vacations, head of line priority queues with non-preemptive service, and multiple vacations and idle time.

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A SINGLE SERVER RETRIAL QUEUE WITH VACATION

  • Kalyanaraman, R.;Murugan, S. Pazhani Bala
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.721-732
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    • 2008
  • A single server infinite capacity queueing system with Poisson arrival and a general service time distribution along with repeated attempt and server vacation is considered. We made a comprehensive analysis of the system including ergodicity and limiting behaviour. Some operating characteristics are derived and numerical results are presented to test the feasibility of the queueing model.

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Queuing Analysis for Overlay/Underlay Spectrum Access in Cognitive Radio Networks

  • Do, Cuong T.;Hong, Choong-Seon
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06d
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    • pp.190-192
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    • 2012
  • In this paper, we present theoretical queuing analysis for hybrid overlay/underlay Cognitive Radio (CR) system by applying M/M/1 queuing model where the rate of arrival and the service capacity are subject to Poisson alterations. Numerical results are used to prove a high degree of accuracy for the derived expressions. The result can be used as a benchmark to evaluate the performance of a hybrid overlay/underlay CR system.

A Model for a State-Dependent Deteriorating System

  • Lee, Ji-Yeon
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.433-442
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    • 1999
  • A model for a system whose deteriorating rate depends on the state is introduced. A repairman arrives according to Poisson process and increases the state of the system by the random amount if the state is below a threshold. If the system fails at arrival of the repairman it is assumed that the system is replaced by new one. The stationary distribution function of the state of the system and the expected life length of the system are deduced.

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Closest Open Location Rule in AS/RS

  • Park, Byung-Chun
    • Journal of Korean Institute of Industrial Engineers
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    • v.13 no.2
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    • pp.87-95
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    • 1987
  • This article deals with the expected travel distances under Closest Open Location rule. In this paper it is shown that uniform distribution assumption over a rack, which is usually used when modeling randomized storage, is not valid under COL rule, where arrival loads follow Poisson process and duration times are independent of each other and have finite mean. We give both exact and approximate methods for the expected travel distances. Warehouse sizing problem is also included.

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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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Modeling of Vacation Queues by Supplementary Variables (부가변수를 이용한 휴가형 대기행렬의 모형화)

  • Lee, Soon-Seok;Lee, Ho-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.1
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    • pp.107-114
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    • 1990
  • A queueing system with compound Poisson arrival and server vacation is analyzed by including supplementary variables. We consider a vacation system in which the server leaves for a vacation as soon as the system empties. When he returns, if no customer is waiting for service, he waits until a group of customers arrive and then begins to serve. We obtain the system size distribution and the waiting time distribution. Additional performance measures will be also considered.

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