• Title/Summary/Keyword: Bernoulli arrivals

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Comments on "Optimal Utilization of a Cognitive Shared Channel with a Rechargeable Primary Source Node"

  • El Shafie, Ahmed;Salem, Ahmed Sultan
    • Journal of Communications and Networks
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    • v.17 no.3
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    • pp.265-266
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    • 2015
  • In a recent paper [1], the authors investigated the maximum stable throughput region of a network composed of a rechargeable primary user and a secondary user plugged to a reliable power supply. The authors studied the cases of an infinite and a finite energy queue at the primary transmitter. However, the results of the finite case are incorrect. We show that under the proposed energy queue model (a decoupled M/D/1 queueing system with Bernoulli arrivals and the consumption of one energy packet per time slot), the energy queue capacity does not affect the stability region of the network.

TRANSIENT ANALYSIS OF A QUEUEING SYSTEM WITH MARKOV-MODULATED BERNOULLI ARRIVALS AND OVERLOAD CONTROL

  • Choi, Doo-Il
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.405-414
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    • 2004
  • This paper considers overload control in telecommunication networks. Markov-modulated Bernoulli process ( MMBP ) has been extensively used to model bursty traffics with time-correlation. Thus, we investigate the transient behavior of the queueing system MMBP/D/l/K queue with two thresholds. The model is analyzed recursively by using the generating function method. We obtain the transient queue length distribution and waiting time distribution at an arbitrary time. The transient behavior of the queueing system helps observing the temporary system behavior.

A discrete Time Priority Queueing Model with Bursty Arrivals (돌발적인 도착이 있는 우선순위 이산 큐잉 모델)

  • 이미정
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.10
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    • pp.2014-2027
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    • 1994
  • A queueing model with two input streams of different service priorities is studied. Specifically, IBP+BP/D/1 with head-of-line priority is analyzed. IBP and BP stand for Interrupted Bernoulli Process and Bernoulli Process respectively. The BP-stream customers have the higher service priority over the IBP-stream customers. An exact analysis of this priority queue is presented to derive the distributions of the state of the system at steady state, the waiting time distributions for each class of customers, and the interdeparture time distributions. The numerical results of the analysis are presented to show how the various parameters of the low and high priority arrival processes affect the performance of the system.

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