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Analysis of Real-time Error for Geo/D/1/1 Model

Geo/D/1/1 모형에서의 실시간 원격 추정값의 오차 분석

  • Yutae, Lee (Department of Information and Communications Engineering, Dong-eui University)
  • Received : 2022.12.01
  • Accepted : 2022.12.16
  • Published : 2023.01.31

Abstract

In this paper, we study real-time error in the context of monitoring a binary information source through a delay system. To derive the average real-time error, we model the delay system as a discrete time Geo/D/1/1 queueing model. Using a discrete time three-dimensional Markov chain with finite state space, we analyze the queueing model. We also perform some numerical analysis on various system parameters: state transition probabilities of binary information source; transmission times; and transmission frequencies. When the state changes of the information source are positively correlated and negatively correlated, we investigate the relationship between transmission time and transmission frequency.

Keywords

References

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