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

Yıl 2022, Cilt: 3 Sayı: 1, 1 - 8, 21.06.2022

Ongun Yucesan , Altan Özkil , Mehmet Efe Özbek

https://doi.org/10.53525/jster.1017004

Cited By: 1

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

TUBİTAK

Proje Numarası

KAMAK 115G007

Teşekkür

To everyone, whom without, wouldnt be this

Windows işletim sistemi tabanlı Endüstriyel Proses denetimleri için veri değiştokuşunda Exponansiyel Rassal Değişkenin Güvenirlik modeli olarak geçerliği

Öz

Bilinen bir klasik güvenirlik dağılımı kullanılarak gelecekteki faaliyetler için hata olasılıklarının tahmini mümkündür. Eksponansiyel ve Normal değişkenin, windows tabanlı bir endüstriyel iletişim için geçerliliği gösterilmiştir.

Anahtar Kelimeler

hatalar arası zaman, MArkov Varış Süreçleri, Exponensiyel Varış süreci, Örnek bağımsızlığı testleri, uyumun iyliği testleri

Proje Numarası

KAMAK 115G007

Kaynakça

• [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] S. Cavalieri and F. Chiacchio, “Analysis of opc ua performances,” Computer Standards and Interfaces, vol. 36, no. 1, pp. 165 – 177, 2013.
• [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] 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] 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] 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] K. S. Trivedi, Probability and Statistics with Reliability, Queuing and Computer Science Applications, 2nd ed. GBR: John Wiley and Sons Ltd., 2001.
• [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] 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] 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.
• [11] B. García-Mora, C. Santamaría Navarro, G. Rubio, Modeling dependence in the inter–failure times. An analysis in Reliability models by Markovian Arrival Processes. Journal of Computational and Applied Mathematics. 343. (2018).
• [12] J. Matevska, E. Noack, M. Reinhold, and E. Diekmann, Decentralized Avionics and Software Architecture for Sounding Rocket Missions. In Proc. 2nd Workshop on Avionics Systems and Software Engineering Innsbruck, Austria, February 25, 2020.