EVALUATION OF AVAILABILITY OF A TELECOMMUNICATION SYSTEM WITH DIFFERENT TYPES OF FAILURES
DOI:
https://doi.org/10.18372/2310-5461.41.13258Keywords:
operation and maintenance, availability, reliability of the telecommunication system, permanent failure, intermittent failure, continuous testing, regenerative process, mathematical model, modeling, monitoring, evaluation, diagnosticsAbstract
The article considers the operation and maintenance of a telecommunication system with different types of failures. A mathematical model of a telecommunication system, which is continuously tested during operation, subject to permanent and intermittent failures is developed. Mathematical equations are derived to calculate the mean times spent by the system in the operable and repair states due to the permanent and intermittent failures, and system availability using the properties of the regenerative process under arbitrary failure distributions on the infinite time horizon. The proposed analytical expressions can be used for any laws of the distribution of operating time to permanent and intermittent failures. It is also possible to use these results for the composition of distributions of time to system failure. Such composition may include the distributions related to gradual and sudden failures. A numerical example is given for calculating the mean times spent by the one-module telecommunication system in the operable and repair states, and system availability under exponential failure distributions considering permanent and intermittent failure rates. Provided calculations demonstrate that increasing the intermittent failure rate reduces the mean time spent by the system in the operable state. The obtained results allow more precisely evaluate the availability and reliability of a telecommunication system with different types of failures and can be used during the design, operation and maintenance stages of a telecommunication system.
References
S. Dharmaraja, V. Jindal and U. Varshney, “Reliability and survivability analysis for UMTS network: an analytical approach”, Network and service management, IEEE transactions, vol. 5, pp. 132-142, 2008.
V.B. Prasad, “Computer networks reliability evaluations and intermittent faults”, in Proc. of 1990 IEEE 33th Midwest Symp on Circuits and Systems, vol. 1 Calgary, Alta, 1990, pp. 327-330.
V.B. Prasad, “Digital systems with intermittent faults and Markovian models”, in Proc. of 1992 IEEE 35th Midwest Symp on Circuits and Systems, vol. 1, Washington, 1992, pp. 195-198.
Уланский В.В., Мачалин И.А. “Стратегия технического обслуживания одноблочной системы с явными и скрытыми отказами”, Математические машины и системы, том 3/4, Киев, 2007, С. 245-256.
T. Nakagava. Maintenance theory of reliability. London: Springer, 2005, 269 p.
T. Nakagava. Advanced reliability models and maintenance policies. London: Springer, 2008, 234 p.
N. Kranitis, A. Merentitis, and N. Laoutaris, “Optimal periodic testing of intermittent faults in embedded pipeline processor applications”, In: Proc. of 2006 IEEE Design, Automation and Test in Europe Conf., Munich, Germany, 2006, pp. 1-6.
Raza A. and V. Ulansky, "Assessing the impact of intermittent failures on the cost of digital avionics’ maintenance", In Proc. of the 2016 IEEE Aerospace Conf., Big Sky, Montana, March 5-12, 2016, pp. 1-16.
H. Qi, S. Ganesan and M. Pecht, "No-fault-found and intermittent failures in electronic products", Microelectronics Reliability, vol. 48, 2008, pp. 663–674.
Ulansky V. and Terentyeva I. Availability modeling of a digital electronic system with intermittent failures and continuous testing. Engineering Letters. – 2017. – V. 25, № 2. – P. 104–111.
W.L. Smith, “Regenerative stochastic processes”, in Proc. of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences 232, London, pp. 6–31, 1955.
