Research Article

Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange

Volume: 3 Number: 1 June 21, 2022
TR EN

Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange

Abstract

Using a reliability function with a known classical distribution, at an instance in time, the chances of an activity success can be predicted. Based on this curve, a proper reset period can be appointed. This would help to keep the risk under control. For this purpose, a test bed mimicking the machine to machine (M2M) communication of a Digital Oil Rig is employed. It contains an Embedded Computer Server and an ordinary computer acting as a client querying data from the server. On this testbed, as the communication protocol Open Platform Communications - Unified Architecture (OPC UA) is run. In “most occasions, the arrival processes are assumed as a Poisson Arrival Process. The Question of a concern: "Is this assumption valid in case of an Embedded Computer responding to queries?". Our results indicate that the failure arrivals are independent identically distributed (IID) and can be modeled with an Exponential Distribution by accepting a reasonable error.

Keywords

Inter-Failure Arrival Times and distribution , Markovian Arrival Processes , Poisson Arrival Process , Test for Sample Independence , Goodness of Fit Test

References

  1. [1] A. Burger, H. Koziolek, J. Ruckert, M. Platenius-Mohr, and G. Stomberg, “Bottleneck identification and performance modeling of opc ua communication models,” in Proceedings of the 2019 ACM/SPEC International Conference on Performance Engineering, ser. ICPE ’19. New York, NY, USA: Association for Computing Machinery, 2019, p. 231–242.
  2. [2] S. Cavalieri and F. Chiacchio, “Analysis of opc ua performances,” Computer Standards and Interfaces, vol. 36, no. 1, pp. 165 – 177, 2013.
  3. [3] A. Eckhardt and S. Muller, “Analysis of the round-trip time of opc ua and tsn based peer-to-peer communication,” in 2019 24th IEEE International Conference on Emerging Technologies and Factory Automation (ETFA), Sep. 2019, pp. 161–167.
  4. [4] A. Cenedese, M. Frodella, F. Tramarin, and S. Vitturi, “Comparative assessment of different opc ua open–source stacks for embedded systems,” in 2019 24th IEEE International Conference on Emerging Technologies and Factory Automation (ETFA), Sep. 2019, pp. 1127–1134.
  5. [5] W. Kim and M. Sung, “Opc-ua communication framework for plc-based industrial iot applications: Poster abstract,” in Proceedings of the Second International Conference on Internet-of-Things Design and Implementation, ser. IoTDI ’17. New York, NY, USA: Association for Computing Machinery, 2017, p. 327–328.
  6. [6] C. V. Neu, I. Schiering, A. Zorzo. Simulating and Detecting Attacks of Untrusted Clients in OPC UA Networks. CECC 2019: Proceedings of the Third Central European Cybersecurity Conference. 2019, p.1-6.
  7. [7] K. S. Trivedi, Probability and Statistics with Reliability, Queuing and Computer Science Applications, 2nd ed. GBR: John Wiley and Sons Ltd., 2001.
  8. [8] A. Morato, S. Vitturi, F. Tramarin and A. Cenedese, "Assessment of Different OPC UA Implementations for Industrial IoT-Based Measurement Applications," in IEEE Transactions on Instrumentation and Measurement, vol. 70, pp. 1-11, 2021
  9. [9] O. Yucesan, A. Ozkil, “Time Complexity Comparison of Stopping at First Failure and Completely Running the Test.” J Electron Test vol. 36, pp. 409–417, 2020.
  10. [10] O. Yucesan, A. Özkil and E. Özbek , "A Reliability Assessment of an Industrial Communication Protocol on a Windows OS Embedded PC for an Oil Rig Control Application", Journal of Scientific, Technology and Engineering Research, vol. 2, no. 2, pp. 22-30, Dec. 2021.
APA
Yucesan, O., Özkil, A., & Özbek, M. E. (2022). Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange. Journal of Science, Technology and Engineering Research, 3(1), 1-8. https://doi.org/10.53525/jster.1017004
AMA
1.Yucesan O, Özkil A, Özbek ME. Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange. Journal of Science, Technology and Engineering Research. 2022;3(1):1-8. doi:10.53525/jster.1017004
Chicago
Yucesan, Ongun, Altan Özkil, and Mehmet Efe Özbek. 2022. “Validity of Exponential Distribution for Modelling Inter-Failure Arrival Times of Windows Based Industrial Process Control Data Exchange”. Journal of Science, Technology and Engineering Research 3 (1): 1-8. https://doi.org/10.53525/jster.1017004.
EndNote
Yucesan O, Özkil A, Özbek ME (June 1, 2022) Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange. Journal of Science, Technology and Engineering Research 3 1 1–8.
IEEE
[1]O. Yucesan, A. Özkil, and M. E. Özbek, “Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange”, Journal of Science, Technology and Engineering Research, vol. 3, no. 1, pp. 1–8, June 2022, doi: 10.53525/jster.1017004.
ISNAD
Yucesan, Ongun - Özkil, Altan - Özbek, Mehmet Efe. “Validity of Exponential Distribution for Modelling Inter-Failure Arrival Times of Windows Based Industrial Process Control Data Exchange”. Journal of Science, Technology and Engineering Research 3/1 (June 1, 2022): 1-8. https://doi.org/10.53525/jster.1017004.
JAMA
1.Yucesan O, Özkil A, Özbek ME. Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange. Journal of Science, Technology and Engineering Research. 2022;3:1–8.
MLA
Yucesan, Ongun, et al. “Validity of Exponential Distribution for Modelling Inter-Failure Arrival Times of Windows Based Industrial Process Control Data Exchange”. Journal of Science, Technology and Engineering Research, vol. 3, no. 1, June 2022, pp. 1-8, doi:10.53525/jster.1017004.
Vancouver
1.Ongun Yucesan, Altan Özkil, Mehmet Efe Özbek. Validity of Exponential Distribution for Modelling Inter-failure Arrival Times of Windows based Industrial Process Control Data Exchange. Journal of Science, Technology and Engineering Research. 2022 Jun. 1;3(1):1-8. doi:10.53525/jster.1017004