Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
권호 표지
DOI QR코드

DOI QR Code

Age of Information for Geo/Geo/1/1 Queue

Geo/Geo/1/1 대기 행렬 모형의 정보 신선도

  • Lee, Yutae (Department of Information and Communications Engineering, Dong-eui University)
  • Received : 2022.01.30
  • Accepted : 2022.02.13
  • Published : 2022.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

Real time data exchange and information transmission are becoming more and more important these days. The concept of age of information (AoI) was proposed to quantify the freshness of information about the status of a remote source system. The AoI is defined as the amount of time that a packet experiences since it was generated at the source up to now. This paper analyses the age of information for a discrete time Geo/Geo/1/1 status updating system. The stationary probability distribution for peak AoI is obtained. Freshness ratio of information is also derived. Some numerical results obtained by the analysis are presented.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT).(No. NRF-2021R1A2C1011756)

References

  1. S. Kaul, M. Gruteser, V. Rai, and J. Kenney, "Minimizing age of information in vehicular networks," in Proceeding of 8th Annual IEEE Comminications Society Conference on Sensor, Nesh and Ad Hoc Communications and Networks (SECON), pp. 350-358, 2011.
  2. S. Kaul, R. Yates, and M. Gruteser, "Real-time status: How often should one update?," in Proeeding of IEEE International Conference on Computer Communications (INFOCOM), 2012.
  3. M. Costa, M. Codreanu, and A. Ephremides, "Age of information with packet management," in Proeeding. of IEEE International Symposium on Information Theory, pp. 1583-1587, 2014.
  4. Y. Lee, "Freshness ratio of information: a new metric for age of information," Electronics Letters, vol. 56, no. 3, iss. 3, pp. 139-141, Feb. 2020. https://doi.org/10.1049/el.2019.2020
  5. A. Maatouk, S. Kriouile, M. Assaad, and A. Ephremides, "The age of incorrect information: a new performance metric for status updates," IEEE/ACM Transactions on INetworking, vol. 28, no. 5, pp. 2215-2228, Oct. 2020. https://doi.org/10.1109/tnet.2020.3005549
  6. M. Costa, M. Codreanu, and A. Ephremides, "On the age of information in status update systems with packet management," IEEE Transactions on Information Theory, vol. 62, no. 4, pp. 1897-1910, Apr. 2016. https://doi.org/10.1109/TIT.2016.2533395
  7. V. Tripathi, R. Talak, and E. Modiano, "Age of information for discrete time queues," zrXiv: 1901.10463v1, 2019.
  8. A. Kosta, N. Pappas, A. Ephremides, and V. Angelakis, "Non-linear age of information in a discrete time queue: stationary distribution and average performance analysis," in Proeeding of IEEE International Conference on Communications, pp. 1-6, 2020.