Abstract
The purpose of the testing institute, which is considered in the article, is to conduct mass independent tests of special equipment. Usually, testing is a stage in large government programs, therefore there is a great responsibility in conducting tests with a high quality. Consequently, delays and especially disruptions of the testing procedures are also inadmissible. This requires finding ways to optimally plan all the operation processes of the testing institution upon receipt of an intensive flow of requests for testing special equipment. Modeling of the institute’s activity was carried out with the help of the theory of queuing systems. Based on the general data set for the last few years, the central, second and third moments of the arrival rate of requests for testing and the test rate are calculated. The statistical probability of deviation of testing beginning times due to the influence of certain external and internal factors inherent to the testing process is determined and its statistical characteristics are calculated. The exponential law of distribution of the arrival rate of testing requests and the service rate is determined, that reduces the queuing system to the following kind \(M/M/n\). Based on the analysis of the behavior of the input flow of requests for testing, the general scheme of queuing formation is adjusted. The limiting parameters of the testing system are calculated and the minimum requirements for the number of service channel are formulated. To ensure adequate capacity, requirements for the formation of reserves in the testing system are justified. A further solution to the problem of researching the effectiveness of the testing institution is to model the behavior, distribution and prioritization of sub-flow of requests for testing for different types of special equipment and search for optimal methods of distribution of personnel on testing teams according to the structure of the input flow of requests for testing.
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Korniienko, I., Korniienko, S., Dmytriiev, V., Pavlenko, A., Kamak, D. (2022). Modeling and Analysis of the Main Statistical Parameters of the Testing System of Special Equipment. In: Shkarlet, S., et al. Mathematical Modeling and Simulation of Systems. MODS 2021. Lecture Notes in Networks and Systems, vol 344. Springer, Cham. https://doi.org/10.1007/978-3-030-89902-8_34
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